Using the simple interest formula, find the amount earned after 4 years with a present value of $600 and an APR of 5%. Verify that you get the same answer as in the table.

Using The Simple Interest Formula, Find The Amount Earned After 4 Years With A Present Value Of $600

Answers

Answer 1

The simple interest after 4 years with the given principal and rate is $120.

Given that, principal =$600, rate=5% and time=4 years.

We know that, simple interest=(Principal×Rate×Time)/100.

Simple interest = (600×5×4)/100

= $120

Therefore, the simple interest after 4 years with the given principal and rate is $120.

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Related Questions

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer:d

Step-by-step explanation:

your answer is 919.68in^3 (B)

What is 2x-5y=9 in slope intercept form?

Answers

The slope-intercept form of the equation 2x-5y=9 is y = (2/5)x - 9/5.
Y=2/5x - 9/5 this is the slope intercept form

PLEASE HELP 50 POINTS

Answers

To check if a solution is correct for a system of equations, we substitute the values of the solution into both equations and see if they are true.

Let's assume that the solution for the system of equations is (x,y) = (1,-1).

To check if this solution is correct for the first equation y = 2x - 3, we substitute x = 1 and y = -1:

-1 = 2(1) - 3

-1 = -1

Since -1 = -1, the solution (1,-1) satisfies the first equation.

To check if this solution is correct for the second equation y = -1/2x + 2, we substitute x = 1 and y = -1:

-1 = -1/2(1) + 2

-1 = 1

Since -1 is not equal to 1, the solution (1,-1) does not satisfy the second equation.

Therefore, the solution (1,-1) is not a solution for the system of equations y = 2x - 3 and y = -1/2x + 2.

Find the equation of the ellipse with foci at (+-3,0) and major axis of length 12.

Answers

The equation of the ellipse with the foci is x²/36 + y²/(27) = 1.

What is the equation of the ellipse?

The distance between the foci of an ellipse is calculated using the following formula;

c² = a² - b²

Where;

a is half the length of the major axisb is half the length of the minor axisc is the distance between the foci

For this question, a = 6 and c = 3, the value of b is calculated as;

c² = a² - b²

3² = 6² - b²

9 = 36 - b²

b² = 27

b = √27

b = 3√3

The equation of the ellipse is calculated as;

x²/a² + y²/b² = 1

x²/36 + y²/(27) = 1

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What is the meaning of "the equation ax = b has a solution for every b ∈ H"?

Answers

In the given image, H is a non-empty set of complex numbers, a and b are complex numbers, and x is a variable.

"The equation ax = b has a solution for every b ∈ H" means that for any complex number b in the set H, there exists a complex number x such that the product of a and x is equal to b.

In other words, for every numbers of b in H, there exists a solution for x that satisfies the equation ax = b.

This statement has important implications in linear algebra and functional analysis, where it is used to define the concept of a surjective linear transformation in numbers. It also has applications in many areas of mathematics and science, including engineering, physics, and computer science.

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PLEASE HELP ( WILL GIVE BRAINLIEST)

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The amount of money Laurie would pay to have the pond cleaned is equal to $3,161.85.

How to calculate the volume of a hemisphere?

In Mathematics and Geometry, the volume of a hemisphere can be calculated by using the following mathematical equation (formula):

Volume of a hemisphere = 2/3 × πr³

Where:

r represents the radius.

Note: Radius = diameter/2 = 13/2 = 6.5 feet.

By substituting the given parameters into the formula for the volume of a hemisphere, we have the following;

Volume of a hemisphere = 2/3 × 3.14 × (6.5)³

Volume of a hemisphere = 574.881 ft³

Cost = 5.50 × 574.881 ft³

Cost = $3,161.85

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on a 28 question test there are 2-point questions, 4-point, and 5- point questions. the test is worth a total of 100 points. there are twice as many 2 point questions as 5point questions on the test how many 2point questions are on the test

Answers

Answer:

Number of 2-point questions on the test as per given condition is equals to 8.

Total number of questions in a test = 28

Total points allotted for test = 100

Questions distribution as per points :

2-point questions, 4-point questions, and 5-point questions

'x' represents the 5-point questions

As per condition given,

Number of 2-point questions = 2x

Number of( 2-point  +  4-point +  5-point ) questions = 28

⇒ 2x + 4-point questions  + x = 28

⇒ 4-point questions  = 28 - 3x

Substitute the value in the given condition of the equation we get,

2(2x)+4(28-3x)+5(x) = 100

4x+112-12x+5x=100

112-3x=100

x=4

Help. I need game credits for GMM

Answers

The difference of p and z times the sum of p and z is p² - 2pz - z².

How to represent expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division and multiplication.

Hence, the difference of p and z times the sum of p and z can be represented as follows:

Therefore,

(p - z) × (p + z) = (p - z) (p + z)

(p - z) (p + z)  = p² - pz - pz - z²

p² - pz - pz - z² = p² - 2pz - z²

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A jelly bean is selected at random from ajar and is not returned. The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans. Which is the probability of selecting a ed jelly bean on the first draw and a blue jelly bean on the second draw?

Answers

Answer:

There would be a 38% or 8/21 probability of picking a red jelly bean on the first draw and a 20% or 4/20 probability of picking a blue jelly bean on the second.

Step-by-step explanation:

There are 21 jelly beans in total. So on the first draw, there is an 8/21 chance you will get a red jelly bean. If you turn this fraction into a percentage, it is 38%.

Now that a jelly bean is missing, there are 20 jelly beans. There are four blue ones still, so there is a 4/20 chance of getting a blue jelly bean. Turning this ratio into a percent gets you 20%.

I would love a brainliest. I haven't had one yet and it would make my day. Hope this helped you!

The  probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw is 32/441.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans.

total beans = 8 + 2 + 4 + 7 = 21

So, the probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw

= 8/21 x 4 / 21

= 32 /441

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Tell me the domain
Tell me the range
Tell me if the graph is a function or not.
The answer choices are below

Answers

The graph in this problem is not a function.The domain of the function is: -2 ≤ x ≤ 6.The range of the function is given as follows: -6 ≤ y ≤ 2.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In this problem, any vertical line in the interval -2 < x < 6 would cross the circle at two points, meaning that two outputs are associated with a input, and thus the relation is not a function.

The domain and the range of the relation are given as follows:

The domain of the function is: -2 ≤ x ≤ 6 -> values of x.The range of the function is given as follows: -6 ≤ y ≤ 2 -> values of y.

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When working for a District Attorney, an investigator analyzed the leading digits of the amounts from 784 checks issued by seven suspect insurance companies. The frequencies were found to be 0, 12, 0, 73, 482, 186, 8, 23, and 0, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's Law, the check amounts appear to result from fraud. Use a 0.05 significance level to test for goodness-of-fit with Benford's Law. What is the value of the test statistic? Does it appear that the checks are the result of fraud?

Answers

Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.

Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.

To test for goodness-of-fit with Benford's Law, we can use the chi-squared goodness-of-fit test. The null hypothesis is that the observed frequencies follow Benford's Law, while the alternative hypothesis is that they do not.

We can start by calculating the expected frequencies for each leading digit based on Benford's Law. According to Benford's Law, the expected proportion of leading digits is

P(d) = log10(1 + 1/d), where d is the leading digit (1, 2, ..., 9).

Then, we can calculate the expected frequencies by multiplying the proportion by the sample size

Expected frequency for digit d = P(d) * sample size.

Using this formula, we can calculate the expected frequencies for each digit

Expected frequencies: 3.542, 2.019, 1.518, 1.221, 1.028, 0.886, 0.778, 0.697, and 0.643.

We can use these expected frequencies and the observed frequencies to calculate the chi-squared statistic

chi-squared = Σ (observed frequency - expected frequency)² / expected frequency

We can then compare this value to the chi-squared distribution with 8 degrees of freedom (since there are 9 digits and one constraint, which is that the frequencies must add up to the sample size). Using a significance level of 0.05 and a chi-squared distribution table or calculator, the critical value is 15.51.

Plugging in the observed and expected frequencies, we get

chi-squared = (0 - 3.542)²/3.542 + (12 - 2.019)²/2.019 + (0 - 1.518)²/1.518 + (73 - 1.221)²/1.221 + (482 - 1.028)²/1.028 + (186 - 0.886)²/0.886 + (8 - 0.778)²/0.778 + (23 - 0.697)²/0.697 + (0 - 0.643)²/0.643

chi-squared = 756.153

Since the calculated chi-squared statistic (756.153) is greater than the critical value (15.51), we reject the null hypothesis and conclude that the observed frequencies are not consistent with Benford's Law. This suggests that the check amounts are the result of fraud.

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Of the people who fished at Clearwater Park today, 72 had a fishing license, and 8 did not. Of the people who fished at Mountain View Park today, 63 had a license, and 27 did not. (No one fished at both parks.)

Answers

We can use the information given in the problem to create a table:

| | Fishing License | No Fishing License |
| ------------- | -------------- | ------------------ |
| Clearwater | 72 | 8 |
| Mountain View | 63 | 27 |

To find the total number of people who fished at both parks, we can add up the number of people with a fishing license at each park:

72 + 63 = 135

Therefore, a total of 135 people fished at both parks today.

Which equation represents a direct variation?
Oy - 4x = 8
Oy + 2 = 7x
Oy - 3x = 0
O y = 5x - 2

Answers

The only equation that represents a direct variation is: y - 3x = 0

How to identify direct variation?

Direct Variation is defined as the relationship that exists between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. If b is directly proportional to a the equation is of the form b = ka (where k is a constant).

Making y the subject in each of the options gives:

A) y = 4x + 8

B) y = 7x - 2

C) y = 3x

D) y = 5x - 2

Looking at them, the only one where there is a relationship that exists between two variables in which one is a constant multiple of the other is option C

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Police body cameras: A survey of New York State residents asked about police officers having to wear video cameras on duty. The question stated, “Do you agree or disagree that police officers should carry video cameras for the purposes of filming their activities while on duty?” Most (88%) respondents agreed with this statement.

Do Californians share the same opinion? A California-based civil rights group conducted a similar survey by randomly selecting 500 California residents, and 425 agreed that police officers should carry video cameras for the purposes of filming their activities while on duty.

Conduct a hypothesis test to determine if the proportion of California residents who agree is different from New York residents. Use a 5% significance level to make your decision. Use the applet (at the top of this Checkpoint) to determine the P‐value.

Which of the following is an appropriate conclusion based on the results?

Group of answer choices

The survey provides strong evidence that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is significantly different from the proportion of New York residents.

The survey suggests that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is 85%.

Of the California residents surveyed, 85% agree that police officers should carry video cameras for the purposes of filming their activities while on duty, but this is not strong enough evidence to conclude that the proportion of California residents who agree is significantly different from the proportion of New York residents.

This survey suggests that 88% of California residents surveyed agree that police officers should carry video cameras for the purposes of filming their activities while on duty.

Answers

Based on my experiment, My appropriate conclusion based on the results  is option A: The survey provides strong evidence that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is significantly different from the proportion of New York residents.

What was the survey about?

This conclusion is based on the truth that the experiment  conducted in California found that 85% of the respondents matches with the view,  one that is diverse from the extent of Modern York inhabitants (88%) who concurred with the same conclusion .

The "strong evidence" based on the experiment shows that the findings are statistically significant and the conclusion will thus be that the extent of California inhabitants who agree is "essentially wide" from the extent of other York inhabitants, showing some differences between the two populaces.

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6-Tel, Inc. is a telecommunication services provider looking to expand to a new territory Z; it is analyzing whether it should install its own telecom towers or lease them out from a prominent tower-sharing company T-share, Inc.

Leasing out 100 towers would involve payment of $5,000,000 per year for 5 years. Erecting 100 news towers would cost $18,000,000 including the cost of equipment and installation, etc. The company has to obtain a long-term secured loan of $18 million at 5% per annum. Owning a tower has some associated maintenance costs such as security, power and fueling, which amounts to $10,000 per annum per tower.

The company's tax rat is 40% while its long-term weighted average cost of debt is 6%. The tax laws allow straight-line depreciation for 5 years. Determine whether the company should erect its own towers or lease them out.

Answers

Answer:

The present value of leasing the towers is $19,576,000 while the present value of erecting new towers is $20,273,000. Therefore, the company should lease the towers.

Step-by-step explanation:

Max made 2 gallons of lemonade. Which proportion can Max use to find how many quarts of lemonade he made? Responses 4 quarts1 quart =2 gallon? quarts 4 quarts1 quart =2 gallon? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 4 quarts1 gallon =2 gallon? quart

Answers

The proportion Max can use to find how many quarts of lemonade is 2 gallons divided by 4 quarts per gallon equals 8 quarts.

How to determine the proportion Max can use to find how many quarts of lemonade

Max can use the following proportion to calculate how many quarts of lemonade he made:

1 gallon equals 4 quarts

Max can calculate the number of quarts by multiplying 2 by 4 because he made 2 gallons of lemonade:

2 gallons divided by 4 quarts per gallon equals 8 quarts

As a result, Max created 8 pints of lemonade.

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dude what is this i dont understand

Answers

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

 

Ayuda por favor es para mañana, fracciones equivalentes. Doy coronita

Answers

These fractions are equivalent fractions by algebraic property:

Case 1: YES

Case 2: NO

Case 3: YES

Case 4: NO

Case 5: YES

Case 6: YES

Case 7: NO

Case 8: YES

Case 9: YES

Case 10: YES

Case 11: NO

Case 12: YES

Case 13: NO

Case 14: YES

Case 15: YES

Case 16: YES

Case 17: NO

Case 18: YES

How to determine if two fractions are equivalent

In this question we must check 18 cases of equivalent fractions, two fractions are equivalent if the following algebraic property is met:

a / b = (a · c) / (b · c), where a, b, c are integers and c is nonzero.

Now we proceed to determine if each pair is equivalent:

Case 1

2 / 3 = (2 · 2) / (3 · 2)

2 / 3 = 4 / 6 (YES)

Case 2

2 / 6 = (2 · 3) / (6 · 3)

2 / 6 = 6 / 18 (NO)

Case 3

9 / 9 = (9 · 4) / (9 · 4) = 36 / 36 (YES)

Case 4

3 / 11 = (3 · 3) / (11 · 3) = 9 / 33 (NO)

Case 5

7 / 8 = (7 · 2) / (8 · 2) = 14 / 16 (YES)

Case 6

4 / 6 = (4 · 5) / (6 · 5) = 20 / 30 (YES)

Case 7

5 / 6 = (5 · 2) / (6 · 2) = 10 / 12 (NO)

Case 8

2 / 7 = (2 · 4) / (7 · 4) = 8 / 28 (YES)

Case 9

6 / 12 = (6 · 2) / (12 · 2) = 12 / 24 (YES)

Case 10

4 / 9 = (4 · 5) / (9 · 5) = 20 / 45 (YES)

Case 11

9 / 10 = (9 · 3) / (10 · 3) = 27 / 30 (NO)

Case 12

1 / 5 = (1 · 5) / (5 · 5) = 5 / 25 (YES)

Case 13

12 / 12 = (12 · 3) / (12 · 3) = 36 / 36 (NO)

Case 14

8 / 11 = (8 · 4) / (11 · 4) = 32 / 44 (YES)

Case 15

5 / 5 = (5 · 4) / (5 · 4) = 20 / 20 (YES)

Case 16

6 / 9 = (6 · 4) / (9 · 4) = 24 / 36 (YES)

Case 17

3 / 7 = (3 · 8) / (7 · 8) = 24 / 56 (NO)

Case 18

10 / 12 = (10 · 4) / (12 · 4) = 40 / 48 (YES)

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Length of the Glass = ? if length of 6 glasses is 34 cm and length of 2 glasses 19 cm find length of 1 glass​

Answers

The length of the glass is L = 5.67 cm

Given data ,

Let the length of one glass be "x" cm

According to the given information, the length of 6 glasses is 34 cm.

So, the combined length of 6 glasses is 6x cm, which is equal to 34 cm.

Similarly, the length of 2 glasses is 19 cm.

So, the combined length of 2 glasses is 2x cm, which is equal to 19 cm.

6x = 34 be equation (1)

2x = 19 be equation (2)

Now we can solve these equations to find the value of "x", which represents the length of one glass.

On dividing equation 1 by 6, we get:

x = 34/6

x ≈ 5.67 cm

Hence , the length of one glass is approximately 5.67 cm

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please help for this question​

Answers

Using the translation vector of 3 units up and 1 unit right resulted to image coordinate of

(3, 7)

(3, 5)

(2, 5)

The image is attached

How to find the translation vector

The translation vector is of the rule 3 units up and 1 unit to the right

The coordinate of the preimage are

(2, 4)

(2, 2)

(1, 2)

The translation is done as below

(2 + 1, 4 + 3) = (3, 7)

(2 + 1, 2 + 3) = (3, 5)

(1 + 1, 2 + 3) = (2, 5)

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In a normal distribution, what percentage of the data falls within 2 standard
deviations of the mean?
A. 99.7%
B. 68%
C. 34%
D. 95%

Answers

The percentage of the data that falls within 2 standard deviations of the mean is  B. 68%

Calculating the percentage of data

From the question, we have the following parameters that can be used in our computation:

Percentage = 2 standard deviations

As a general rule:

The percentage of the data that falls within 2 standard deviations of the mean is 68%

This means that the correct option is (b) 68%

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An unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are shown below: w = p + 30 w = −p + 5 Which is a correct step to find p and w? (1 point) Add the equations to eliminate p. Multiply the equations to eliminate w. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Answers

The correct step find p and w is -   add the equations to eliminate p. The correct option is the first option

Solving for variables in a system of linear equations: Determining the correct step to find p and w

From the question, we are to determine which of the given steps is a correct step to find p and w.

The given system of equations is:

w = p + 30

w = −p + 5

From the above equation, we can easily add the equations to eliminate p

That is,

  w = p + 30

+ w = −p + 5

------------------------

2w = 35

We can then solve for  by dividing both sides by 2

2w / 2 = 35 / 2

w = 17.5

To determine the value of p, we can substitute the value of w into any of the equations

w = p + 30

17.5 = p + 30

p = 30 - 17.5

p = 12.5

Hence,

The correct step is add the equations to eliminate p

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Find the multiplying integers -2x24=

Answers

The multiplying integers -2x24= -48

Multiplication of Integers:

Here is some rules of multiplication of integers:

1. Positive integer × negative integer = negative.

2. Positive integers × Positive integers =  positive.

3.  Negative integers × Negative integers = positive.

Here, To find the  the multiplying integers

-2x24 = -48

When you multiply integers :

Negative x Positive = Negative

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Which function has a domain where x is not equal to 3 and a range where y is not equal to 2?

Answers

Domain where x is not equal to 3 and a range where y is not equal to 2 for function  (x+5)/(x-3)

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain:  x≠3 ; range = y≠2

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it x ∈ R-3

for option C if 2=2(x+5)/(x-3)

x-3=x+5

-3=5 which is not possible

Where as in option D, 2=(x+5)/(x-3)

2x-6=x+5

x=11

Hence, domain where x is not equal to 3 and a range where y is not equal to 2 for function  (x+5)/(x-3)

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Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)

Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___

Answers

Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.

Amount for each basket of apple = $3 each

Amount for each basket of Peach = $4.5 each

Thus, for 10 baskets each:

Apples = 10 * 3 = $30

a = 24 + 30

a = $54

Peaches = 10 * 4.5 = $45

p = 18 + 45

p = $63

Total earnings = a + p

= $54 + $63

= $117

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Complete question is:

Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.

Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.

Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.

Apples: 10 x ____ = ____

24+ ___ = a

Peaches: 10 x ____ =

18+____= p

Total: a+p=$ ___

Here are two similar solid shapes.
and
A
surface area of shape A: surface area of shape B = 3:4
The volume of shape B is 10 cm³
Work out the volume of shape A.
Give your answer correct to 3 significant figures.
B

Answers

Step-by-step explanation:

Let the volume of shape A be V. Since the surface area of shape A is 3/4 times that of shape B, the surface area of shape A is 3/7 times the total surface area of the two shapes combined.

Therefore, the surface area of shape A is:

3/7 (surface area of shape A + surface area of shape B) = 3/7 (4/3 surface area of shape B) = 12/21 surface area of shape B

We know that the volume of shape B is 10 cm³, and we can find the volume of shape A by using the ratio of the volumes to the ratio of the surface areas:

V/10 = 3/4

V = 7.5 cm³ (to 3 significant figures)

Therefore, the volume of shape A is 7.5 cm³.

Directed line segment PQ has endpoint P (-8,-4) and Q (4,12). Determine the point that partitions the directed line segment in a ratio of 3

Answers

The directed line segment PQ is divided at this point at a 3:1 ratio (1, 8)

According to the section formula, the coordinates of a point R may be determined by dividing a line segment PQ by that point in the ratio m:n as follows:

[tex]R_x = (n * Px + m * Qx) / (m + n)\\R_y = (n * Py + m * Qy) / (m + n)[/tex]

where [tex]P_x, P_y[/tex] are the coordinates of point P, and [tex]Q_x, Q_y[/tex] are the coordinates of point Q.

In this case, we want to divide the line segment PQ in a ratio of 3:1. This means that m = 3 and n = 1.

Using the formula, we can find the coordinates of the point R that divides PQ in a 3:1 ratio:

Rx = (1 * (-8) + 3 * 4) / (3 + 1) = 1

Ry = (1 * (-4) + 3 * 12) / (3 + 1) = 8

Therefore, the point that partitions the directed line segment PQ in a ratio of 3:1 is (1, 8).

Learn more about the section formula here:

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Round to the nearest whole number, then find the sum. 15.43 + 12.85 + 21.3 = ___ pls i will give 60 points!!!!!!!!!!

Answers

Answer:

15.43 + 12.85 + 21.3 = 49.58

Rounding to the nearest whole number, the sum is 50.

Step-by-step explanation:

Answer:

15.43 + 12.85 + 21.3 = 49.58

Step-by-step explanation:

if I made a profit of $3,250 after selling stocks for $10,500 after 4 years what was my average annual percentage game. ​

Answers

Answer:

To calculate the average annual percentage gain, we need to use the formula:

Average annual percentage gain = ((Ending value / Beginning value)^(1/n) - 1) x 100%

where:

- Ending value = the value of the investment at the end of the period

- Beginning value = the value of the investment at the beginning of the period

- n = the number of years

In this case, the beginning value of the stocks is not given, so we cannot calculate the exact average annual percentage gain. We only know the profit and the ending value. However, we can make an estimate assuming that the profit is equal to the gain, i.e., there were no transaction costs or other fees.

If the profit was $3,250 and the ending value was $10,500, then the beginning value was:

Beginning value = Ending value - Profit

Beginning value = $10,500 - $3,250

Beginning value = $7,250

The number of years is given as 4.

Using the formula above, we can estimate the average annual percentage gain as:

((10,500 / 7,250)^(1/4) - 1) x 100%

= (1.1267^(0.25) - 1) x 100%

= (1.0266 - 1) x 100%

= 0.0266 x 100%

= 2.66%

Therefore, the estimated average annual percentage gain is 2.66%.

Step-by-step explanation:

In an election, the median number of votes a candidate received in 6 towns was 250. Which statement MUST be true about this election?
OA. The total number of votes the candidate received in the election was 1500.
OB. The candidate received at least 250 votes in half of the 6 towns.
OC. The candidate received exactly 250 votes in at least two of the towns.
O D. The total number of votes received by all the candidates in the election was 1500.

Answers

Answer:

B. The candidate received at least 250 votes in half of the 6 towns.

This is because the median number of votes is the middle value when all the vote counts are put in order. This means that at least three towns gave the candidate more than 250 votes, and at least three towns gave the candidate fewer than 250 votes. So, the candidate received at least 250 votes in half of the 6 towns. The total number of votes the candidate received in the election cannot be determined from this information. Similarly, the number of votes received in individual towns cannot be determined.

If the median number of votes a candidate received in 6 towns was 250, it means that 3 towns had more than 250 votes and 3 towns had fewer than 250 votes. Therefore, statement B must be true: the candidate received at least 250 votes in half of the 6 towns. Statements A, C, and D are not necessarily true. Therefore, the answer is B. The candidate received at least 250 votes in half of the 6 towns.
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