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3 years ago

14

You invest money at 6% interest compounded annually for 3 years. If the future value of your investment is $1800, how much money

did you invest? Show your work.

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

Step-by-step explanation:

FV = P(1+r)^t

1800 = P(1+0.06)^3

1800 = P(1.06)^3

P = 1800/(1.06)^3 = $1511

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gregori [183]

Answer:

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Step-by-step explanation:

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2 years ago

A device used in golf to estimate the distance d, in yards, to a hole measures the size s, in inches, that the 7-ft pin appears

Nesterboy [21]

This is a proportional problem.
The distance 'd' corresponds to the 9 inches.
The 7-ft pin corresponds to the size 's'.

Convert 7ft to 7/3 yds. This way you have equal ratio of yds to inches.

$\frac{d}{9} = \frac{7/3}{s} \\ \\ d = \frac{21}{s}$

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3 years ago

Read 2 more answers

Harman [31]

Answer:

we get $\mathbf{gf(2)=-\frac{1}{3}}$

Step-by-step explanation:

We are given:

$f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1$

We need to find value of $gf(2)$

$gf(2)=g(f(2))$

First putting f(x) inside of g(x) and then putting x=2

$gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}$

Now putting x=2 to find $gf(2)$

$gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}$

So, we get $\mathbf{gf(2)=-\frac{1}{3}}$

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2 years ago

Fatima paid a $50. Initiation fee to join a gym. She also pays a fee of $25 per month. Write an expression that shows how much F

Morgarella [4.7K]

When it says per month, it means to multiply. In this case, the expression would be;

25x+50

So however many months Fatima has spent at the gym, you would multiply that times 25 and add the initiation fee. Hope this helps.

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3 years ago

Tan + Cos / 1 + Sin = Sec

yaroslaw [1]

$\tan x+\frac{\cos x}{1+\sin x}\\\\ =\frac{\sin x}{\cos x}+\frac{\cos x}{1+\sin x}\\\\=\frac{\sin x(1+\sin x)+\cos^{2} x}{\cos x(1+\sin x)}\\\\=\frac{\sin^{2} x+\cos^{2} x+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1}{\cos x}\\\\=\sec x$

7 0

1 year ago