-What is the present value of a $800 annuity payment over six years if interest rates are 10 percent?-Recalculate the present value at 9 percent interest, and again, at 11 percent interest
Answers
Answer:
1417.2488 for the first one
9 percent - 1341.680089
11 percent - 1496.331642
Step-by-step explanation:
Attached you'll find my calculator work!
I don't know the exact formula so ill use my own variables to describe what i did!
A = P(1 + n)^t
A = End result / how much money is left
P = initial principle (initial starting amount)
n = interest rate in decimal / rate of growth
t = time
So essentially, your initial amount is 800, your interest is 0.11, 0.10, 0.09, and your time is 6. So you plug those values in and you can find your answers
Final answer:
The present value of a $800 annuity payment over six years can be calculated using the formula PV = A * [(1 - (1 + r)^-n) / r]. At 10% interest, the present value is $3728.24. At 9% interest, the present value is $3843.17. At 11% interest, the present value is $3620.65.
Explanation:
To calculate the present value of an annuity payment, we can use the formula:
PV = A * [(1 - (1 + r)^-n) / r]
Where:
- PV is the present value
- A is the annuity payment
- r is the interest rate per period
- n is the number of periods
For an annuity payment of $800 over 6 years and an interest rate of 10%, the present value would be:
PV = 800 * [(1 - (1 + 0.10)^-6)/ 0.10]
Calculating this value gives us a present value of $3728.24.
To recalculate the present value at 9% interest, we substitute the new interest rate into the formula:
PV = 800 * [(1 - (1 + 0.09)^-6)/ 0.09]
This gives us a present value of $3843.17.
Similarly, to recalculate the present value at 11% interest, we use:
PV = 800 * [(1 - (1 + 0.11)^-6)/ 0.11]
This gives us a present value of $3620.65.
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we know that the x of the unknown vertice is 4, because this is a rectangle and that vertices has to be on the same x line as the point below.
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10/25 = 40%
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Answer: 38.4
Step-by-step explanation: 48 is 38.4 percent of the 80. You can find this out by calculating for percentage
Answers
Answer:
x = 6
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x^2 - 12x + 36 = 0
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Answers
∴3tons=6000pounds