Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
6x-42=4x
6x= 4x +42
2x= 42
x=21
Answer:
3
Step-by-step explanation:
Answer:
D) Over $4,000,000
Step-by-step explanation:
On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.
That totals to approximately $4.6 million dollars, which is larger than $4 million.
Answer:
A) $49
Step-by-step explanation:
There are two ways to solve this problem. You could either calculate the net change by adding up the values in the table and then adding that to the initial amount, or you could individually add every change in price to the initial amount. I'm going to go with the first way, as I find it to be quicker, but both methods work equally well.
We know that the stock was worth $52 on Monday morning. From the table, the net (or overall) change in the stock over the course of the week is:
-2 + 1 + 3 - 1 - 4 = -3
Therefore, the stock's price decreased by $3 over the week, and because the stock's original price was $52, we know it is now worth 52 - 3 = $49. Hope this helps!