See question in screenshot below:

Answer:

A

Step-by-step explanation:

hope this helps! :) Hope you have. a great day

The interest rate as a percentage is  5.39% per year.

$30,000 is invested into an account where interest is compounded quarterly.  After 30 years the balance is $149,519.

The interest rate as a percent can be calculated as follows:

[tex]r = n((\frac{A}{P} )^{\frac{1}{nt} } -1)[/tex]

where

P = 30000

A = 149519

n = 4

t = 30 years

r = ?

[tex]r = 4((\frac{149519}{30000})^{\frac{1}{4(30)} } - 1 )[/tex]

[tex]r = 4((\frac{149519}{30000})^{\frac{1}{120} } - 1 )[/tex]

r = 0.0539008

Then convert r to R as a percentage

R = r * 100

R = 0.0539008 * 100

R = 5.39% per year

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The expression x - 35 represents the discounted price before tax. The expression 0.12x represent the amount of sales tax.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression given which models the final price of a scooter with an instant rebate in a state that charges sales tax is:

⇒ 0.12x + (x - 35)

As per the given expression,

The discounted price before tax = x - 35

The amount of sales tax = 0.12x

Thus, the expression x - 35 represents the discounted price before tax and the expression 0.12x represent the amount of sales tax.

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Option B. The rule of sampling distribution that is listed here that can be said to be false is  Sampling distributions get wider (I.e. have greater variability) with increasing sample size.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.

It could be regarded as the statistical distribution for all feasible samples drawn from the same population with a particular sample size. The population's underlying distribution, the statistic under consideration, the sampling technique utilized, and the sample size used all have an impact on the sampling distribution.

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Answer:

histogram

Step-by-step explanation:

The principal that was deposited is  $3326.45 .

The principal has to do with the amount that has been deposited in the bank and after a while we would have the amount which is the summation of the principal and the interest that accrues.

Given that;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = number of times compounded

t = time

Then;

6,000 = P(1 + 0.035/2)^2 * 17

P = 6000/(1 + 0.035/2)^2 * 17

P = $3326.45

At the beginning the money that was deposited is  $3326.45 .

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According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

Step-by-step explanation:

the pattern is x+1+1-3 so

1+(1)=2

2+(1)=3

3-(3)=0

Alright now the next numbers (assuming the next 3 numbers?)

-2,-3,-4

I’m so sorry if I’m incorrect but I hope this helps

Answer: You got roasted sir. Leave it alone.

Step-by-step explanation:

a) The value of b if the total number of students is 55 is; b = 8

b)i) Probability that the student passed both french and german is 19/55

ii) Probability that the student passed exactly one of the two subjects is; 36/55

A venn diagram is used to compare and contrast two different ideas.

We are given that;

Number of students that passed French only = 17

Number of students that passed German only = 11

Number of students that passed both French and German = 19

Number of students that did not pass any of the 2 subjects = b

Total number of students = 55

Thus;

a) To get the value of b that will represent the number of students who didn't pass any of the 2 subjects will be calculated as;

b = 55 - (17 + 11 + 19)

b = 8

b)i) To get the probability that the student passed both french and german is given by the formula;

P(Paased french and german) = Number that passed french and german/Total number of students = 19/55

ii) To get the Probability that tells us the student passed exactly one of the two subjects is;

(17/55) + (19/55) = 36/55

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Given equation to us is , [tex]3x^2+7x-(m+1)=0[/tex] .

The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .

For a quadratic equation in standard form of [tex]ax ^{2} + bx + c = 0[/tex]

the discriminant is given by b² - 4ac .

On comparing wrt to Standard form, we have ;

Hence we have,

[tex]\longrightarrow b^2-4ac \geq 0\\ [/tex]

[tex]\longrightarrow 7^2-4(3)-(m+1)\geq 0\\[/tex]

[tex]\longrightarrow 49 +12(m+1)\geq 0\\ [/tex]

[tex]\longrightarrow 49 +12m+12\geq 0 \\ [/tex]

[tex]\longrightarrow 12m \geq -61\\[/tex]

[tex]\longrightarrow \underline{\underline{m \geq \dfrac{-61}{12}}} [/tex]

Therefore the given quadratic equation will have real solutions for values of m greater than or equal to -61/12 .

And we are done!

Answer:

Be - Beryllium

The value of z = 1.15

The value of the p value is 0.124. vWe would fail to reject the null hypothesis

We have to find the sample proportion

This is given as x / n

where

x = 620

n = 1200

620 / 1200

= 0.516667

The null hypothesis that is to be tested is H0:p=.50

The alternative hypothesis that is to be tested as well is H1:p>.50

We are to test for the value of Z as well as P value through the use minitab software and make conclusions with the results.

In the result, the

1. The value of z is solved to be 1.15

2. The P value is 0.124. The value of the P value is very high, the decision would be for us to fail to reject the null hypothesis.

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Complete question

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.

We test

H0:p=.50

Ha:p>.50

(a) What is the z-statistic for this test?____.

(b) What is the P-value of the test?_____.

Answer:

620÷2=310 50% is half of 620

Step-by-step explanation:

Answer:

bottle of water: $1.60

gallon of milk: $3.80

bag of chips: $0.80

Step-by-step explanation:

First, the amount of groceries bought can be represented as:

[tex]3m + 4w + 7c = \$ 23.40[/tex]

where [tex]m[/tex] represents the cost of one gallon of milk, [tex]w[/tex] represents the cost of a bottle of water, [tex]c[/tex] represents the cost of one bag of chips.

We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.

"a bottle of water costs twice as much as a bag of chips"

[tex]w = 2c[/tex]  →  [tex]c = \dfrac{w}{2}[/tex]

"milk costs $2.20 more than a bottle of water"

[tex]m = w + \$ 2.20[/tex]

Now, substitute these into the first equation and solve for w in terms of c.

[tex]3(w + 2.20) + 4w + 7\cdot \dfrac{w}{2} = 23.40[/tex]

[tex]3w + 6.60 + 4w + \dfrac{7}{2} \, w = 23.40[/tex]

[tex]\dfrac{21}{2} \, w = 16.80[/tex]

[tex]21w = 33.60[/tex]

[tex]w = 1.60[/tex]

So, one bottle of water costs $1.60.

To solve for the other items, plug the solved value into the 2-variable equations.

[tex]m = 1.60 + 2.20[/tex]

[tex]m = 3.80[/tex]

So, one gallon of milk costs $3.80.

[tex]c = \dfrac{1.60}{2}[/tex]

[tex]c = 0.80[/tex]

So, one bag of chips costs $0.80.

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

b: mean

c: mode

Step-by-step explanation:

I say mean for b because to find average of how many sodas they drink in a month

For c I say mode because they want to find the most common year and mode is where it chooses which year appears the most

Hopes this helps please mark brainliest

The recipe will be enough for Lucy and her friends to make smoothie.

From the information, they are making smoothie. This will be illustrated as:

1 1/3 cups of banana = 4/3 cups

1 1/2 cup of yoghurt = 3/2 cups

1 cup of strawberry.

3/4 cup of orange juice.

Based on the information, we've to find the total quantity of smoothie. This will be:

= 4/3 + 3/2 + 1 + 3/4

= 4 7/12

Therefore, the recipe will be enough for Lucy.

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Complete question

Lucy is making a smoothie by following the recipe below

Sunshine smoothie

1 1/3 cups banana

1/2 cup yogurt

1 cup strawberries

3/4 cup orange juice

Will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie? Explain.

==================================================

Explanation:

Let's list the ways to roll a 6.

There are A = 5 items listed above.

Now let's list the ways to roll a sum of 7.

There are B = 6 items listed above.

Lastly, let's list the ways to roll a sum of 8.

There are C = 5 items listed above.

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

Summary so far:

We found there are

Therefore, we have A+B+C = 6+7+8 = 21 ways to roll either of those three sums. Each event is mutually exclusive.

This is out of 6*6 = 36 ways to roll two dice (whether we get those sums or not).

21/36 = (7*3)/(12*3) = 7/12 is the probability of getting any of those three sums mentioned.

7/12 = 0.5833 = 58.33% approximately

The unit price for the 7.48 is $2 kg per bag and the unit price for the 7.94 is $2 per kg bag, there is no difference in unit rates of both the bag.

A unit rate means a rate for one of something.

Given that, Susan paid $15.84 for a 7.48 kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 kg bag at a different store.

15.48/7.48 = $2/kg

16.58/7.94 = $2/kg

Hence, there is no difference in between both the bags, hence either of them are better.

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Answer:

31 yards

Step-by-step explanation:

Since there are 3ft in 1 yard,

93 ft / 3 ft = 31 yards

Answer:

31 yards

Step-by-step explanation:

1 ft is 1/3 yard

So 93 ft = 93/3

= 31 yards

OR

1 ft is 0.333 yard

93 × 0.333 = 31 yard.

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

The degree of the quadratic equation, ax² +bx+c = 0 will be 2.

Any equation of the form  ax² +bx+c = 0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation. Any function of the form of the given form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that the equation is,

ax² +bx+c = 0

The highest power of the quadratic equation is the degree to that quadratic equation. The highest power of the given quadratic equation is 2.

Thus, the degree of the quadratic equation, ax² +bx+c = 0 will be 2.

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y+6=-4/3x+16/3 is equation of the line that is perpendicular to the line below and passes through the point (4,-6)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the slope of given line.

The line is passing through points (4, 0) and (0, -3)

m=-3-0/0-4

m=3/4

The slope of perpendicular lines is -1.

m.3/4=-1

m=-4/3

the equation of the line that is perpendicular to the line below and passes through the point (4,-6)

y-y₁=m(x-x₁)

y-(-6)=-4/3(x-4)

y+6=-4/3x+16/3

Hence, y+6=-4/3x+16/3 is the point slope form of line passing through (4,-6)

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The expression that shows how many dollars Seth earned is 15m.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since Seth mowed his neighbor's lawn m times and earned 15 dollars each time.

The amount made will be:

= Cost for each mowing × Number of times

= 15 × m

= 15m

The expression is 15m.

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Answer:

15m

Step-by-step explanation:

Answer:

.225 kg

Step-by-step explanation:

[tex]\frac{225 grams}{1}[/tex] x [tex]\frac{1kg}{1000grams}[/tex] = .225 kg

The graph of linear inequality y > 3/4x - 2 is attached below and it's properties are the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2  and the graph has a straight broken line to denote the ">" inequality sign.

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. There are several ways to represent various kinds of linear inequalities.

In the inequality given, we can represent this on a graph and discuss it's properties.

The graph of y > 3/4x - 2 shows these properties

Kindly find the attached graph below

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Complete Question:

Which of the statement are true about the linear inequality y > 3/4x - 2

I. The graph has a broken line

II. The graph has an unbroken line

III. The graph passes through y - axis at -2

IV. The graph passes through the x - axis at 2.67

Answer:

telephone calls = 2 hours ;  attending meeting = 6 hours ; writing email= 2.5 hours

Step-by-step explanation:

t + e + m = 10.5

3t = m

e = 0.5 + t

t + 0.5 + t + 3t = 10.5

5t = 10.5 - 0.5

5t = 10

5/5 t = 10/5

t = 2

e = 0.5 + 2

e = 2.5

m = 3 (2)

m = 6

Answer:

2091

Step-by-step explanation:

[tex]1+3.5+6+\cdots+101 \\ \\ n=\frac{101-1}{2.5}+1=41 \\ \\ a=1 \\ \\ d=2.5 \\ \\ S=\frac{41}{2}[2(1)+(41-1)(2.5)] \\ \\ =2091[/tex]

Answer:

List Price: 1750

Sale Price: 1400

Step-by-step explanation:

If 20% = 350, we can just multiply it by 5 to get the list price.

Because:

= 20% / 100%

= 20 / 100

= 2 / 10

= 1 / 5

= 1 / 5 * 5 = 1

= 350 * 5 = 1750 (list price)

To get the sale price, we subtract 350 from 1750

1750 - 350 = 1400

1400 is 80% of full price, which is what it was purchased for.