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Ahat [919]
3 years ago
10

Find the value of f(g(-2)) f(x) =-2x+14 g(x)=3x^2+6x-2

Mathematics
1 answer:
Rzqust [24]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

f[g(x)

=f(3x^2+6x-2)

=2 (3x^2+6x-2)+14

=6x^2+12x-4+14

=6x^2+12x+10

f[g(-2)]=6 (-2)^2+12×(-2)+10

=12- 24+10

=-2

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds
MissTica

Step 1

Given;

\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

A=P(1+rt)

Step 3

Find the interest when the rate is 8%

\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}

Therefore the interest is given as;

A-P=382397.26-375000=\text{\$}7397.26

Step 4

Find the interest in 1980 with a 20% rate

\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}

The interest is given as;

A-p=393493.15-375000=\text{\$}18493.15\text{ }

Step 5

Find the difference in interest between the two rates.

\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89

Hence, the difference in interest between the two rates = $11095.89

4 0
1 year ago
5. This diagram of a baseball field is composed of a square, a semicircle, and a quarter
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Answer:this one is hard

Step-by-step explanation:

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3 years ago
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Otrada [13]

ANSWER

D) sin Y

EXPLANATION

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When we do the substitution, we get,

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Therefore cos(x) is a equivalent to sin(y).

The correct answer is D.

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3 years ago
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Answer:

Step-by-step explanation:

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