Answer:
35 ft
Step-by-step explanation:
Sorry this took me so long, I am 99% sure it is right though
I hope this helps :)
Answer:
20.4 years
Step-by-step explanation:
The nper formula in excel comes handy in this scenario:
=nper(rate,pmt,-pv,fv)
Rate is the monthly rate of 5.4%/12
Assuming actual investment is $5,000 which is pv
The triple amount would be $5,000*3=$15,000 which is future value fv.
pmt is the regular cash flow the investment which is zero
=nper(5.4%/12,0,-5000,15000)= 244.68 months
Yearly it can be expressed as = 244.68/12 =20.39 years
When rounded to one decimal place it becomes 20.4 years
Answer:
1. 167.55
2. 10.77
Step-by-step explanation:
For #1 use the formula for volume of cone: 
, and for #2 use the Pythagorean Theorem: 
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.
Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2.
So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)
We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.
Distribute and multipy out:
(x − 9)(x − 1)
x * x = x²
x * -1 = -x
x * -9 = -9x
-9 * -1 = 9
Add together:
x² + -x + -9x + 9
x² − 10x + 9
Use the Reflexive property:
x² − 10x + 9 = x² − 10x + 9 ✓
