Answer:
They are at the same height at 1.13 seconds.
Step-by-step explanation:
Remark
The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.
Givens
f(x) = - 16x^2 + 74x + 9
g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s
Solution
- f(x) = g(x)
- -16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
- -16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
- 74x + 9 = 82x Subtract 74x from both sides
- 74x - 74x + 9 = 82x - 74x Combine
- 9 = 8x Divide by 8
- 9/8 = 8x/8
- x = 1 1/8 Convert to decimal
- x = 1.125
- x = 1.13 [rounded]
Well, if it was out of 50, it would be 76%.
So the answer might be 50 questions total, but maybe there was 49 questions total.
I would probably go with 50 questions total.
The amount of money the person would have in 8 years s $2541.74.
<h3>How much would the person have in 8 years? </h3>
The formula for calculating future value is:
FV = P (1 + r)^nm]
Where:
FV = Future value
- P = Present value = $2000
- R = interest rate = 3% / 12 = 0.25%
- m = number of compounding = 12
- N = number of years = 8 years
Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74
To learn more about future value, please check: brainly.com/question/18760477
If you use the first answer, the equation becomes 2x + 2y = 16. You could subtract this from equation Q to eliminate x.
The second answer makes equation P -2x - 2y = -16. You could add this to equation Q to eliminate x. You can use both of these methods to eliminate the x term, but if you can only choose one, you should choose the second option.
