Answer:
V= $8
Step-by-step explanation:
Letting V denote the value of an hour,
the annual value of the time savings from the change can be written as
= (5 days/week × 50 weeks/year × .25 hours/day) × V, or 62.5 V per year.
The present value of 62.5 V per year, forever, at a 5% discount rate, is
= 62.5 V / 0.05.
The implication of the change in house prices is that households were willing to pay $10,000 to gain 15 minutes per commuting day, i.e., that the present value of the time savings is $10,000.
Setting 62.5 V / 0.05 = $10,000 and solving gives V = $8
Answer:
They will have 200 players at that point.
Step-by-step explanation:
7.5% increase
This means that the amount will be 100% + 7.5% = 107.5% = 1.075 of the original amount, that is, the original amount multiplied by 1.075.
Currently has 186 players. How many players will they have at that point?
186*1.075 = 199.95
Rounding up:
They will have 200 players at that point.
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Answer: Third option
Step-by-step explanation:
Remember that:
![\sqrt[n]{x^n}=x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx)
And the Product of powers property:
The expression is:
![\sqrt[4]{\frac{3}{2x}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B3%7D%7B2x%7D%7D)
To simplify this expression, you need to multiply the denominator and the numerator by 
. Then:
![\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2x%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3%282%5E3x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D)
Simplifiying, you get:
![\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%288x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E4x%5E4%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B2x%7D)
