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1 answer:
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13. Let A = the amount of money in the given time, P = principal amount; the amount of money you start with, T = time in years, R = interest rate, and N = amount of times interest is compounded each year.
The formula for compound interest is:
Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years
This simplifies to:
And again to:
Plug this into a calculator:
A = 1225.043 or ≈1,225.04
14. (x² + 3)(x - 3)(x + 3)
I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:
(x² + 3)(x² - 9)
Then you do the FOIL method again to get:
x⁴ - 9x² + 3x² - 27
And combine like terms for your answer:
x⁴ - 6x² - 27
Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.
If not, your area is found by the equation 3x² - 5x - 12
The formula for compound interest is:
Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years
This simplifies to:
And again to:
Plug this into a calculator:
A = 1225.043 or ≈1,225.04
14. (x² + 3)(x - 3)(x + 3)
I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:
(x² + 3)(x² - 9)
Then you do the FOIL method again to get:
x⁴ - 9x² + 3x² - 27
And combine like terms for your answer:
x⁴ - 6x² - 27
Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.
If not, your area is found by the equation 3x² - 5x - 12
A proportion box can be used to solve this problem. First, we need to compute the difference or change in the original amount of visitors Alec had (in February) and the new amount of visitors (in March).
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.