Please Help Me With This problem

Mathematics

1 answer:

evablogger [386]3 years ago

5 0

Answer:

250

Step-by-step explanation:

First, we need to find h°g, which is the same thing as $h(g(x))$

This means that we will take the function $h(x)$ and will replace each instance of x with $x^2+x-6$ as that is the value of $g(x)$

$h(x)=5x\\\\h(g(x))=5g(x)\\\\h(g(x))=5(x^2+x-6)\\\\h(g(x))=5x^2+5x-30$

Now that we have our composed function, we can find the y-value when $x=7$

$h(g(7))=5(7^2)+5(7)-30\\\\h(g(7))=5(49)+35-30\\\\h(g(7))=245+5\\\\h(g(7))=250$

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Compound interest Plz help!!!

liraira [26]

Answer:

a) $A(t) = 17500(1.0053)^{12t}$

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Loan of $17,500 means that $P = 17500$