Answer:
36 is answer
Step-by-step explanation:
A cube has 6 sides.
216÷6=36
so therefore one side is 36 cubic inches
Answer:
2. False
3. False
Step-by-step explanation:
Solving inequalities requires the same steps as solving equations except for one exception. When you multiply or divide by a negative during the solving process, you must flip the sign to maintain the relationship. This occurs when the variable x has a negative coefficient. Neither 2 nor 3 has this case. Neither needs the sign flipped. Both are false.
Answer:
The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8
Step-by-step explanation:
Given pattern of integers is -2,-1,-1,0,-1,1,-2
To find their next 3 numbers of the given pattern :
Let 




Therefore 



Therefore
Similarly we have
,
,
The general form to the given pattern is
for 
Therefore to find the
Put n=8 in 




Put n=9 in 




Put n=10 in 




Therefore the next 3 numbers are 3,-5,8
Answer:
you'll just need to insert the 8 into the equation on the right f(x) = 20
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