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2 years ago

F(n)=4n g(n)=n2+2n find f(g(-6))

Mathematics

1 answer:

ELEN [110]2 years ago

8 0

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

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Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago

Only 15 and 16 are the one I'm confused on

julia-pushkina [17]

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3 years ago

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Blizzard [7]

Answer:

The second regon

Step-by-step explanation:

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2 years ago

PLEASE HELP THIS IS A LINEAR EQUATIONS

aalyn [17]

Linear equations can be written different ways such the form y=mx+b, where m is the slope of the line and b is the y intercept.
We can substitute our given coordinates into the equations to find out which one is correct.
A:
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7 0

3 years ago

Read 2 more answers

You have collected data about the fasting blood glucose (FBG) level of participants in your study. You are delighted to find tha

liberstina [14]

Answer:

Between 79.2 and 84.8.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 82, standard deviation of 2.8.

In what range would you expect to find the FBG of 68% of your study participants?

By the Empirical Rule, within 1 standard deviation of the mean, so:

82 - 2.8 = 79.2

82 + 2.8 = 84.8

Between 79.2 and 84.8.

8 0

2 years ago