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3 years ago

What is the difference between 3/4 and 3/10

Mathematics

2 answers:

Katena32 [7]3 years ago

5 0

3/4 - 3/10

Convert to like denominators:

15/20 - 6/20

Subtract the numerators:

9/20

gtnhenbr [62]3 years ago

4 0

First you have to find common denominators to subtract them. To do that, just find a number that both 4 and 10 can go into. The smallest number is twenty.

So to convert 3/4 to a fraction with a denominator of twenty, you have to find what you multiply 4 by to get 20, which is 5. So you then multiply 3 by 5 and and 15/20.
3/4=15/20

You do the same thing with 3/10. Find what you multiply 10 by to get 20, which is 2. So you multiply 3 by two.
3/10=6/20

You can now subtract the 6 from 15 and get 9, so <u>the difference is 9/20.
</u>

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3 years ago

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3 years ago

Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9. 84%, compounded ev

elena-14-01-66 [18.8K]

Niki pays $39,467 interest will he have paid in total.

Given that,

Niki makes the same payment every two months to pay off his $61,600 loan.

The loan has an interest rate of 9.84%, compounded every two months.

If Niki pays off his loan after exactly eleven years.

We have to determine,

How much interest will he have paid in total?

According to the question,

The total interest will be paid is determined by,

$\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}$

Where, PV = $61,600, r = interest rate = 9.84% = 0.0984;

t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.

Substitute all the values in the formula;

$\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}\\\\\rm 61600 = \dfrac{P\left(1 - (1 + \dfrac{0.0984}{6})^{-11 \times 6}\right) }{ \dfrac{0.0986}{6}}\\\\61600 = \dfrac{P\left(1 - (1 + {0.0164})\right^{-66} }{0.0164}\\\\61600 = \dfrac{P\left(1 - (1.01640))^{-66}}{0.0164}\\\\ 61600 \times 0.0164 = P (1-0.341769)\\\\1010.24 = 0.658231P\\\\P = \dfrac{1010.24}{0.6582}\\\\P = 1534.78$

Therefore,

Niki pays $1,534.78 every two months for eleven years,

The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48

Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48.

Hence, Niki pays $39,467 interest will he have paid in total.

For more details about Interest rates refer to the link given below.

brainly.com/question/10302432

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2 years ago