What is the value of t? 3/5t - 4 - 7/10t = -2 A. -20 B. -5 C. 5 D. 20

1 answer:

4 0

3/5t - 4 - 7/10t = -2
3/5t - 7/10t = -2 + 4
6/10t - 7/10t = 2
-1/10t = 2
t =2 (-10)
t = -20

answer is A. -20

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The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

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Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
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t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

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3 years ago

Find the inverse function for y=3/4+x

Sonja [21]

The inverse of this function is y = x - $\frac{3}{4}$

You can find the inverse of any function by switching the x and y values and then solving for the new y value. Once you've done that, what will be left over is the inverse function.

y = $\frac{3}{4} + x$ ----> Swap x and y