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snow_tiger [21]
3 years ago
12

If you take out a loan for $550 at 7.2% simple interest and make no payments for 6 months how much do you owe in total

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

$569.80

Step-by-step explanation:

We can use the simple interest formula for this:

A = P (1 + rt)

<em>P = initial balance </em>

<em>r = annual interest rate </em>

<em>t = time </em>

<em />

First, change 7.2% into its decimal form:

7.2% -> \frac{7.2}{100} -> 0.072

Next, since we are calculating for 6 months (1/2 of a year), the annual interest rate will be 0.5. Now, plug in the values:

A=550(1+(0.072)(0.5))

A=569.80

The total amount owed in 6 months is $569.80

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Ms. Garza invested $50,000 in three different accounts. She invested three times as
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Answer:

The amount invested in the account that paid 8%  was $18,000

The amount invested in the account that paid 10%  was $6,000

The amount invested in the account that paid 12%  was $26,000

Step-by-step explanation:

Let

3x -----> the amount invested in the account that paid 8%

x -----> the amount invested in the account that paid 10%

$50,000-4x ----> the amount invested in the account that paid 12%

in this problem we have

8\%=8/100=0.08\\10\%=10/100=0.10\\12\%=12/100=0.12

we know that

3x(0.08)+x(0.10)+(50,000-4x)(0.12)=5,160

Solve for x

0.24x+0.10x+6,000-0.48x=5,160

0.48x-0.24x-0.10x=6,000-5,160

0.14x=840

x=\$6,000

3x=\$18,000

\$50,000-4x=\$26,000

therefore

The amount invested in the account that paid 8%  was $18,000

The amount invested in the account that paid 10%  was $6,000

The amount invested in the account that paid 12%  was $26,000

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