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igor_vitrenko [27]
3 years ago
13

The sum of two numbers is 72 and their difference is 40. Using elimination method

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

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Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
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The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

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Write an algebraic expression for the phrase five less than the product of six and N
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Answer:

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Step-by-step explanation:

five less than the product of six and N: <em>6N</em>

five less than the product of six and N: <em>6N </em><em>- 5</em>

Answer: 6N - 5

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