Factorise x(squared) + 7x - 30

1 answer:

7 0

X^2+7x-30
what we do is we find what 2 number multiply to get -30 and add to get 7
factor 30
30=2 times 3 times 5
we know that is has to be negative eventually so one is negative and one is positivie so we do2 factors and add
2 times 5=10
10 and -3
add
10-3=7
checks
10 times -3=-30

so we put those in
(x-3)(x+10)
factored

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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,

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