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raketka [301]
3 years ago
8

If f(x)=-x^2+2x, find f(3)-7

Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer:

f(3) just means to substitute 3 in for x.

Step-by-step explanation:

f(3) just means to substitute 3 in for x.  

f

(

3

)

=

−

2

Explanation:

f

(

3

)

=

−

(

3

)

2

+

7

According to the order of operations, first square the 3, which is 9.

f

(

3

)

=

−

9

+

7

The negative sign in front of the x squared is equivalent to multiplying by negative one.

Add -9 and 7 together, which is -2

So,  

f

(

3

)

=

−

2

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3 years ago
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

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;

brainly.com/question/24274034

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