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ANTONII [103]
3 years ago
10

Question 1. What is the quotient: (2x2 + 12x + 18) ÷ (x + 3) ? A) 2x + 6. B) 2x – 6. C) 2x + 4. D) 2x – 4, r = 1. Question 2. If

f(x) = 3x – 1 and g(x) = x2 – 2x – 2, what is f(g(x)) ?. A) x2 – 5x + 2. B) x2 + x – 3. C) 3x2 – 6x – 7. D) 3x2 – 5x – 3.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
1.
( 2 x² + 12 x + 18 ) : ( x + 3 ) =  2 x + 6

( - 3 ) · |   2      12    18 |
            |           -6   -18 |
            ----------------------
               2        6       0 

Answer: A )  2 x + 6 

2 . 
f ( ( g ( x ) ) = 3 ( x² - 2 x - 2 ) - 1 = 3 x² - 6 x - 6 - 1 = 3 x² - 6 x - 7
Answer: C ) 3 x² - 6 x - 7
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We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

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r = Annual interest rate in decimal form,

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3.25\%=\frac{3.25}{100}=0.0325

A=6500(1+\frac{0.0325}{1})^{1\cdot 8}

A=6500(1+0.0325)^{8}

A=6500(1.0325)^{8}

A=6500(1.2915775352963673)

A=8395.253979

Now we will subtract principal amount from final amount to find amount of interest as:

\text{interest}=8395.253979-6500

\text{interest}=1895.253979\approx 1895.25

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

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