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Gennadij [26K]
3 years ago
7

After 8 years a loan grows to $75 210. If the interest was compounded annually at a rate of 8.5%, find the size of the initial l

oan to the nearest dollar.
Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?

In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.

PV = FV / (1 + i)^n

PV = 75,210 / (1 + 0.085)⁸

PV = 75,210 / (1.085)⁸

PV = 75,210 / 1.9206

PV = 39,159.64

Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36

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jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.
Debora [2.8K]
So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16
4 0
3 years ago
Read 2 more answers
Find the difference: (20x + 3) - (7x - 5) *
OlgaM077 [116]

Answer:

27x - 2

Step-by-step explanation:

First off, we use commutative property to get the like terms together.

(20x + 7x) - (3-5)

Now we can solve the equations inside the parenthesis.

27x - (-2)

Because these aren't like terms, this is as far as we can go. Meaning 27x - 2

is out answer.

3 0
3 years ago
What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:
trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{9 - 6}{-3 - (-9)}

<u>Simplify the expression</u>

  • m = \frac{3}{-3 + 9}
  • m = \frac{3}{6}
  • m = \frac{1}{2}

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

4 0
2 years ago
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Suppose a basket of goods and services has been selected to calculate the cpi and 2014 has been selected as the base year. in 20
KATRIN_1 [288]
Consumer Price Index or also most commonly known as CPI is calculated through the equation,
                      CPI = (price at a certain year / price at base year) x 100
Since, we have chosen 2014 as the base year, the denominator of the fraction will be $86. Calculating the CPI for 2015,
                       CPI = ($90/$86) x 100
                              = <em>104.65</em>
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3 years ago
If 3a 2b=24 and 4a 5b=53, what is the value of a b?
Alexus [3.1K]
7a+7b+77
I I hope this helps you 
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3 years ago
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