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3 years ago

10

-1•f(-9)+7•g(6)= A.32 B.34 C.36 D.38

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

38

Step-by-step explanation:

-1•f(-9)+7•g(6)

f(-9) is 4

g(6) = 6

-1* 4+7*6

-4 +42

38

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Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

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Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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