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The expression is undefined when C, x = 9.
The way that this expression can be undefined is if the denominator is 0 (dividing by 0 is undefined). To make the denominator 0, that means that 9 - x =0. That means that x = 9. So, when x = 9, the denominator is zero, meaning that the expression is undefined when C, x = 9.
Rate at which each pumpkin is sold = $5
Rate at which each squash is sold = $3
Let us assume the number of pumpkins sold in a day = x
Then
The number of squash sold on that day = x + 6
Total amount of sales on that day = $98
Then
5x + 3( x + 6) = 98
5x + 3x + 18 = 98
8x = 98 - 18
8x = 80
x = 80/8
= 10
So
The number of pumpkins sold = 10
The number of squash sold = x + 6
= 10 + 6
= 16
Answer:
see explanation
Step-by-step explanation:
let n and n + 2 be 2 consecutive even numbers , then
(n + 2)² - n² ← is the difference
= n² + 4n + 4 - n²
= 4n + 4
= 4(n + 1) ← a multiple of 4
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = ![\frac{PMT}{r}[1-(1+r)^{-t} ]\\](https://tex.z-dn.net/?f=%5Cfrac%7BPMT%7D%7Br%7D%5B1-%281%2Br%29%5E%7B-t%7D%20%5D%5C%5C)
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA = ![\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]](https://tex.z-dn.net/?f=%5Cfrac%7B300%7D%7B0.005%7D%20%5B%201-%281%2B0.005%29%5E%7B-168%7D%20%5D)
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years