What is the slope of the line that goes through points (−3,−4) and (−7,16)? please help
1 answer:
Answer:
5
Step-by-step explanation:
slope =
The second y point is 16 and the first is -4, so:
(16) - (-4)
Which can be written as 16 + 4 because a double negative makes a positive. Do the same for the x points, -7 and -3:
(-7) - (-3)
(-7) + (3)
Now solve both of them:
16 + 4 = 20
(-7) + 3 = -4
Remember, the slope formula is y over x, so we still need to put it into the fraction form:
You can reduce this to , or 5.
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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:
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%:
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.