Total amount will be $1520.53(approx.)
What is Compound Interest?
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one.The formula is,
A = P(1 + r/n)^(n*t)
Given,
principle P = $900
rate r = 6%
time t = 10 years
Put these values in formula, i.e, A = P(1 + r/n)^(n*t)
A = 900 * ( 1 + 6/100)^10
= 900 * (106/100) ^ 10
After solving we get, A = $1520.53
Therefore, the total amount will be $1520.53(approx.)
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Find the greatest common factor (GCF) of 12x and 6x^3
Sl, this is the solution:
Factors of 12x:
• 2x (Common)
,• 3x (Common)
,• 4x
,• 6x (Common)
,• 12x
Factors of 6x^3:
• 2x (Common)
,• 3x (Common)
,• 6x (Common)
,• 2x²
,• 3x²
,• 6x²
,• 2x^3
,• 3x^3
,• 6x^3
The GCF is 6x
find the area of the triangle
Answer:
a=4, b=5, c=3
=4+5+3/2
=12/2
=s=6
Now,
we have,
√s(s-a)(s-b)(s-c)
√6(6-4)(6-5)(6-3)
√6×2×1×3
√36
=6
find the correct area
The figure consist of triangle, rectangle and semi circle.
Determine the area of figure.
[tex]\begin{gathered} A=\frac{1}{2}\cdot4\cdot8+2\cdot4+\frac{\pi}{8}(4)^2 \\ =16+8+6.28 \\ =30.28 \\ \approx30.3 \end{gathered}[/tex]Thus area of figure is 30.3 meter square.
80% of a number is equal to two-thirds of a second number.
The whole number ratio of the first number to the second number in its lowest terms is x:y
What is the value of x−y
?
Answer:
-1
Step-by-step explanation:
Let's assume 100 as the number. 80% of that number is 80. That's A. And since 80 is two-thirds of that number, the second number has to be 120. Simplifying that would give 5/6. 5-6 = -1
Answer: 1:1.2
1-1.2= -0.2
Step-by-step explanation:
x = first number
y = second number
80/100*x (80 percent of one number)
2/3*y (two thirds of the second number)
equating
80/100*x=2/3*y
= 1.2=y
substituting:
80/100*x = 2/3 * 1.2
= x=1
substituting the value of x in the original equation
80/100 * 1 = 2/3 * y
= y=1.2
so, x=1, y=1.2
x:y
=1:1.2
x-y= 1 - 1.2 = -0.2
Whats infinity minus infinity?
Answer:0
Step-by-step explanation: anything minus itself is zero (x-x=0)
Answer: That would be non-answerable
Step-by-step explanation: infinity is a boundless and endless thing. It is not able to be added or subtracted to anything.
Melissa has two chickens. Chicken A produces 3 eggs every 2 days. Chicken B produces 5 eggs every 3 days. In each case, the number of eggs produced is proportional to the number of days. What is the constant of proportionality for each chicken? Round your answers to the nearest hundredth if necessary.
Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
Chicken A produces 3 eggs every 2 days.
Chicken B produces 5 eggs every 3 days.
Let k₁ and k₂ be the constant of proportionality for chicken A and chicken B respectively.
According to question,
For chicken A, 3 eggs in 2 days
3 = k₁ 2
k₁ = 1.5
For chicken B, 5 eggs in 3 days
5 = k₂ 3
k₂ = 5/3 = 1.66
Thus, Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
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Please answer this math question below
The probability that at least 1 American will say that they have been decapitated is (C) 0.15.
What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.The likelihood that something will happen can be summed up as probability.We can talk about the likelihood or likelihood of different outcomes when we don't know how an event will turn out.Events that follow a probability distribution are the subject of statistics.So, the probability that at least 1 person will say yes:
We know that 15% will say yes, then:
20/100 × 15 = 3Probability formula: P(E) = favorable events/ Total events
Now, put values and solve as follows:
P(E) = favorable events/ Total eventsP(E) = 3/20P(E) = 0.15Therefore, the probability that at least 1 American will say that they have been decapitated is (C) 0.15.
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The product of a positive number x and the number that is 9 more than x is 136. What is the value of x?
ANSWER :
x = 8
EXPLANATION :
The first number is x
The second number is 9 more than x which is (x + 9)
The product of these numbers is 136
The equation will be :
[tex]\begin{gathered} x(x+9)=136 \\ x^2+9x=136 \\ x^2+9x-136=0 \\ \text{ Factor completely :} \\ (x+17)(x-8)=0 \end{gathered}[/tex]The values of x are :
x + 17 = 0
x = -17
x - 8 = 0
x = 8
Since we are looking for the positive value of x, it will be x = 8
17+ 20 ÷ 4-5 = [?].
Answer:
Step-by-step explanation:
17+20/4-5
17+5-5
17-10
17
Solve for x.
2(5x+4) = 7(2)
5x + 4 = 14
What is our next step in solving for x?
A. multiply both sides by 4
C. subtract 4 from both sides
B. add 4 to both sides
D. divide both sides by 4
It's answer option c i.e, subtract 4 from both sides
It's a linear equation 5x + 4 = 7
What is linear equation ?
An equation between two variables that gives a straight line when plotted on a graph or say first degree equation is also known as linear equation.
The equation of first steps is
=> 2(5x+4) = 7(2)
=> 5x + 4 = 14
Now, subtract 4 from 14
=> 5x = 14 - 4
=> 5x = 10
=> x = 10/5
=> x = 5 (Ans.)
It's a final answer for x, but here in question we need to find next step.
Therefore, It's answer option c i.e, subtract 4 from both sides.
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Camilla is making fruit punch for a school function. she finds a recipe that calls for 2 parts orange sherbet, 3 parts ginger ale, 4 parts unsweetened pineapple juice, and 4 parts fruit juice. she has 1 1 2 gallons of orange sherbet on hand. how many fluid ounces of the other ingredients will she need to make fruit punch with the same ratio of ingredients as the recipe? (hint: 1 gallon = 128 fluid ounces)
Answer:
8 3/8 gallons
Step-by-step explanation:
QUICK its the middle one
Answer:
25000000 should be the answer
Step-by-step explanation:
...
Let P be a polynomial function, and P(x)=x4−dx3+8x2−14x+16. If (x−2) is a factor of the polynomial, what is the value of d? Explain or show how you know.
The value of d is x - 2 is a factor of the polynomial function P(x) is 4.5
How to calculate the value of d?The polynomial function is given as
P(x) = x⁴ − dx³ + 8x² −14x + 16
Also, we have the factor of the polynomial to be
x - 2
Set the factor to 0
So, we have
x - 2 = 0
Solve for x
x = 2
If truly, the variable x - 2 is a factor of the polynomial, then the following must be true
P(2) = 0
Start by substituting 2 for x in the equation P(x) = x⁴ − dx³ + 8x² −14x + 16
So, we have
P(2) = (2)⁴ − d(2)³ + 8(2)² −14(2) + 16
Evaluate the exponents
P(2) = (16) − d(8) + 8(4) −14(2) + 16
Evaluate the sum of products
P(2) = −8d + 36
Set to 0
−8d + 36 = 0
So, we have
−8d = - 36
Divide
d = 4.5
Hence, the value of d is 4.5
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simplify the following to surd:
√3 + 1/√3 - 1/√27
Answer: -√3
Step-by-step explanation:
√3 + 1√3 - 1√27
√3 + √3 - √(3^2 x 3)
2√3 - 3√3
(2 - 3)√3
-1√3
-√3
Which term describes the set of all possible outcomes for a probabilityevent?A. LikelihoodB. Empirical probabilityC. ElementsD. Sample space
A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space.
Outcomes are observations of the experiment, and they are sometimes referred to as sample points
Answer = Option D
Which function is increasing?
A.f(x)=(0.5)^x
B.f(x)=5*x
C.f(x)=(1/15)^x
D.f(x)=(1/5)^x
The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
Which function is making f X larger?For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.The order of the numbers is said to be growing if they are written from smallest to largest, but decreasing order is used when the numbers are written from largest to smallest.You must first compute the derivative, then make it equal to 0, and then determine which zero values the function is negative between in order to determine whether a function is decreasing. In order to determine when the function is negative and, consequently, decreasing, test values on all sides of these.Hence, The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
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A jewelry store offers Chuck a job paying 40 thousand dollars per year plus 2% of every sale that he makes. The equation models the money Chuck makes if he sells x dollars of jewelry. y= 40000 +0.02x Or Chuck can take the job and make 60 thousand dollars per year. How much jewelry does Chuck need to sell so that the first option is more profitable? Construct a viable argument to support your solution.
Chuck needs to sell more than 1000000 dollars of Jewelry.
In this question, a jewelry store offers Chuck a job paying 40 thousand dollars per year plus 2% of every sale that he makes.
We have been given the equation models the money Chuck makes if he sells x dollars of jewelry y= 40000 +0.02x
Also, he has second option that he can take the job and make 60000 dollars per year.
We need to find the amount of jewelry Chuck needs to sell so that the first option is more profitable.
We need to find the value of x for which y > 60000
so we get an inequality.
i.e., 40000 +0.02x > 60000
0.02 x > 60000 - 40000
0.02x > 20000
x > 1000000
Therefore, Chuck needs to sell more than 1000000 dollars of Jewelry.
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In a certain chemical, the ratio of zinc to copper is 4 to 19 . A jar of the chemical contains of copper. How many 741 grams of zinc does it contain?
Based on the ratio of zinc to copper, and the grams of copper in the jar, the grams of zinc will be 156 grams of Zinc
How to find the grams?The ratio of zinc to copper is 4 to 19 which means that for every 4 grams of Zinc, the chemical will have 19 grams of copper.
The means that if there is 741 grams of copper, the grams of Zinc will be:
= (Grams of Copper x Ratio of Zinc) / Ratio of copper
Solving gives:
= (741 x 4) / 19
= 2,964 / 19
= 156 grams of Zinc
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An amusement park charges $32 for admission and $6 to park your car. Write an inequality that represents the possible number of people that could go for $166. Solve the inequality. What is the maximum number of people that could go?
The maximum number of people that could go will be 5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that,
An amusement park charges $32 for admission and $6 to park your car.
To ascertain the maximum or lowest values of a scenario with many restrictions, a system of linear inequalities is frequently utilized. Inequalities reflect a limit of what is permitted or achievable rather than a precise quantity.
Suppose that everyone is going in one car and x is the number of persons in the car. The inequality represents the possible number of people that could go for $166 is,
32x+6≤166
32x≤160
x≤160/32
x≤5
Thus, the maximum number of people that could go will be 5.
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Express each of the following in simplest radical form, combining terms where possible.
√25+√45-√20
5√2 is the solution of surd .
What does a math surd mean?
When a square root, cube root, or other root symbol is used in an expression, it is known as a surd. Irrational numbers cannot be stated accurately in decimal form because their decimals do not finish or recur. Surds are used to write irrational numbers precisely.In mathematics, an index is an exponent or power applied to a number or a variable. For instance, the index of 2 in the number 24 is 4.= √25+√45-√20
= √70 - √20
= √50
= 5√2
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The recipe for a homemade glass cleaner indicates to use a ratio of 1 part vinegar to 4 parts water. Autumn used 2.25 ounces of vinegar and 9 ounces of water. Is the relationship between vinegar and water in the recipe and vinegar and water in Autumn's cleaning solution a proportional relationship?
Combine 1 part distilled vinegar and 10 parts warm water in a spray bottle. Wipe the window down with a gentle, clean, lint-free microfiber cloth or paper towel to remove any dust before applying your solution. Spray the entire surface after that.
How does a proportionate relationship work?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.If a table displays a proportional relationship, the ratio of each pair of values can be determined. The table depicts a proportionate relationship if all of those ratios are the same.The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k.A linear relationship between two amounts or variables is referred to as proportionality in mathematics. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.To know more about proportional relationship refer to:
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I didn't mean to post this.
Answer:
ok ok ok ok ok ok
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
40%
Step-by-step explanation:
the fraction is 20/50 which x2 is 40/100 and that times 10 (for percent) is 40, so 40%
Answer:
40% of the jerseys are medium-sized
Step-by-step explanation:
Total = 50 jerseys
20 medium-sized
50 x 2 = 100
20 x 2 = 40
40/100 = 40%
Therefore, 40% of the jerseys are medium-sized.
Hope this helps!
HELP i'm being timed
hich expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
Responses
16(2+80)
16 open parenthesis 2 plus 80 close parenthesis
2(16+80)
2 open parenthesis 16 plus 80 close parenthesis
16(2+5)
16 open parenthesis 2 plus 5 close parenthesis
8(4+10)
The expression rewrites the total 32 + 80 using the largest common factor and the distributive property, and the expression can be expressed as 16(2 + 5).
Option (c) is correct.
The least common multiple of two integers is defined as the lowest number that is a multiple of two or more numbers. The abbreviation LCM stands for least common multiple.
It is assumed that:
The mathematical formula is:
= 32 + 80
To identify the most prevalent factor:
GCF( 32, 80) ( 32, 80) ( 32, 80)
We can use Euclid's division lemma to find the GCF:
GCF(32,80)= 16
The phrase 32 + 80 can be expressed as follows:
= 32 + 80\s= 16(2 + 5)
As a result, the equation rewrites the total 32 + 80 using the largest common component and the distributive condition, and the expression can be expressed as 16(2 + 5).
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PLEASE HELP ASAP WILL GIVE 61 POINTS AND BRAINLEST
write an equation in slope intercept form for the lines through points (-2 6) (7 -1)
Y= (-7/9)x + 40/9
Y= (7/9)x + 9/40
Y= (7/9)x + 40/9
Y= (-7/9)x + 9/40
Answer:
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
Step-by-step explanation:
[tex]m = \frac{ - 1 - 6}{7 - ( - 2)} = - \frac{7}{9} [/tex]
[tex] - 1 = - \frac{7}{9} (7) + b[/tex]
[tex] - \frac{9}{9} = - \frac{49}{9} + b[/tex]
[tex]b = \frac{40}{9} [/tex]
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
Another formula for the volume of a right rectangular prism is V=______ where b is the ________ and h is the _______
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
volume of a rectangular prism
Step 02:
geometry:
1. volume of a rectangular prism
- One formula for the volume of a right rectangular prism is V = l w h , where l represents length , w represents width , and h represents height.
- Another formula for the volume of a right rectangular prism is V = Bh , where B is the base area and h is the height.
That is the solution.
What is the equation of g(x)?
O g(x) = 10x - 3
Og(x) = 10x +3
O g(x) = 10x - 3
Og(x) = 10 + 3
The function g(x) of graph has the following equation: g(x) = (10)ˣ⁻³
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Two functions' graphs, f(x) and g, are provided to us (x).
The exponential function f(x) is defined as follows: f(x) = (10)ˣ
Finding the equation for the converted function g is now required of us (x).
The graph of the function g(x) may be shown to travel through the points (3,1), (4,10), (5,100), and so forth.
This indicates that the following is the equation or expression for the function g(x):
g(x) = (10)ˣ⁻³
Given that we have g(x) for x=3 , (10) ³⁻³
When x=4, we obtain g(x) = (10) ⁴⁻³
g(x) = (10)¹
g(x) = 10
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Given the volume of storage boxes at 4,800 cubic feet and the cost of storage at 4.5 cents per cubic foot per month, what is the monthly cost of storage?$228$216$206$198None of these choices are correct
Given:
The volume of storage boxes at 4,800 cubic feet
And the cost of storage = 4.5 cents per cubic feet
so, to find the monthly cost of the storge, we will multiply the cost by the volume as follows:
[tex]4.5\cdot4800=21,600\text{ cents}[/tex]convert to dollars by divide by 100
So, the answer will be the monthly cost = $216
In the figure below, I || m. Find x.
Answer:
x=67
Step-by-step explanation:
you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer
a nutrition label states that there are 36g of carbohidrates in each serving. accounts for 12% of daily value. how many grams recommended per day?
There are 36 grams of carbohydrates in each serving. The total number of grams of carbohydrates that should be consumed daily is 300.
Given that,
There are 36 grams of carbohydrates in each serving, according to the nutrition label is 12% of the daily value.
We have to find how many grams are advised each day.
We can write 12% as 0.12.
Let x be the total number of grams of carbohydrates that should be consumed daily.
We can write the equation as
0.12x=36
x=36/0.12
x=3600/12
x=300
Therefore, the total number of grams of carbohydrates that should be consumed daily is 300.
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