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yulyashka [42]
3 years ago
15

Solve by elimination.

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0
I got (X,Y) (11,10)
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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:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

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
  • r: ?
  • 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.

5 0
3 years ago
Please help if you can!
Dima020 [189]

Answer:

m' (-2, 4)

n' (-2, 1)

o' (3, 1)

p' (3, 4)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Can someone please help me?
Lisa [10]

Answer:

B

Step-by-step explanation:

Using a graphing calculator, the graph shows an almost parabola like shape between 0 and 12

Plus if the width was equal or greater than twelve we would have a 0 or even negative volume which is impossible

7 0
3 years ago
There are going to be presentations at a school. If 30 people can fit in a room, how many rooms are necessary if there area tota
DanielleElmas [232]
Hello again lol. I would think it would be two rooms don’t count me on this one but I think it is two
7 0
3 years ago
Lisa says that 43 is an odd number that is composite . Is she correct? Explain.
Assoli18 [71]

Lisa is incorrect although it is an odd number it is not composite. It only has itself and 1. Therefore its a prime number.

This is the definition for prime if you still dont understand.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

6 0
3 years ago
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