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Anna71 [15]
3 years ago
10

What is the future value (total amount due) on a $12,000 loan at 8% compounded

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

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

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

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You decide that you would like to buy a new notebook computer. You currently have $50 that you earned from babysitting. You can
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8 0
3 years ago
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Graph the system of equations.<br><br> {8x+8y=642x−2y=−4
klemol [59]
<span>The graph is attached.

Explanation:
We can use the x- and y-intercepts to graph. The x-intercept of the first equation is 8, and the y-intercept is 8. The x-intercept of the second equation is -2, and the y-intercept is 2.
<span>
x-intercepts are where the data crosses the x-axis. At every one of these points, the y-coordinate will be 0; therefore we can substitute 0 for y and solve to get the value of the x-intercept.

For the first equation, we would have
8x+8(0)=64
8x=64.

Divide both sides by 8:
8x/8 = 64/8
x=8.

For the second equation,
2x-2(0)=-4
2x=-4.

Divide both sides by 2:
2x/2 = -4/2
x=-2.

y-intercepts are where the data crosses the y-axis. At every one of these points, the x-coordinate will be 0; therefore we can substitute 0 for x and solve to get the value of the y-intercept.

For the first equation,
8(0)+8y=64
8y=64.

Divide both sides by 8:
8y/8 = 64/8
y=8.

For the second equation,
2(0)-2y=-4
-2y=-4.

Divide both sides by -2:
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6 0
3 years ago
A collection of nickels and dimes is worth $6.10. There are 67 coins in all. how many nickels are there?
Dmitrij [34]

 Question 1:

 For this case, the first thing we must do is define variables.
 We have then:
 x: number of nickels
 y: number of dimes
 We write the system of equations that adapts to the problem.
 We have then:
 0.05x + 0.10y = 6.10
 x + y = 67
 Solving the system we have:
 x = 12
 y = 55
 Answer:
 there are 12 nickels

 Question 2:

 For this case, the first thing we must do is define variables.
 We have then:
 x: Allan's score
 y: Dave's score
 We write the system of equations that adapts to the problem.
 We have then:
 x + y = 375
 x = 2y-60
 Solving the system we have:
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 y = 145
 Answer:
 
Dave: 145 Allan: 230
7 0
3 years ago
What is the rate of change for the numbers 3,5,7,9
JulsSmile [24]

Answer:

Plus 2 (+2)

Step-by-step explanation:

The rate of change is always a constant change from the given first term to the next one. In this case, you are adding 2 each time:

3 + 2 = 5

5 + 2 = 7

7 + 2 = 9

etc.

~

6 0
3 years ago
Read 2 more answers
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