Given:
a.) A company will need 1.8 million 5 years from now to replace some equipment.
b.) The account pays 5.25 percent interest, compounded annually.
We will be applying the Compounded Interest Formula:
![\text{ A = P\lparen1 + }\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=%5Ctext%7B%20A%20%3D%20P%5Clparen1%20%2B%20%7D%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where,
A=final amount
P=initial principal balance/money to initially deposit
r=interest rate (decimal)
n=number of times interest applied per time period
t=number of time periods elapsed (in years)
In this scenario, we are asked what is the amount of principal balance/initial deposit to make to get 1.8 million in 5 years.
Annually = n = 1
We get,
![\text{ 1,800,000 = P\lparen1 + }\frac{\frac{5.25}{100}}{1})^{(1)(5)}](https://tex.z-dn.net/?f=%5Ctext%7B%201%2C800%2C000%20%3D%20P%5Clparen1%20%2B%20%7D%5Cfrac%7B%5Cfrac%7B5.25%7D%7B100%7D%7D%7B1%7D%29%5E%7B%281%29%285%29%7D)
![1,800,000\text{ = P \lparen1 + 0.0525\rparen}^5\text{ = P \lparen1.0525\rparen}^5](https://tex.z-dn.net/?f=1%2C800%2C000%5Ctext%7B%20%3D%20P%20%5Clparen1%20%2B%200.0525%5Crparen%7D%5E5%5Ctext%7B%20%3D%20P%20%5Clparen1.0525%5Crparen%7D%5E5)
![\text{ P = }\frac{1,800,000}{(1.0525)^5}](https://tex.z-dn.net/?f=%5Ctext%7B%20P%20%3D%20%7D%5Cfrac%7B1%2C800%2C000%7D%7B%281.0525%29%5E5%7D)
![\text{ P = 1,393,676.5175887556 }\approx\text{ 1,393,676.52}](https://tex.z-dn.net/?f=%5Ctext%7B%20P%20%3D%201%2C393%2C676.5175887556%20%7D%5Capprox%5Ctext%7B%201%2C393%2C676.52%7D)
Therefore, the answer is 1,393,676.52
Ok so this all about subtracting fractions this is what you want to do:
you can change 8 3/4 and 4 2/3 to have the same value and deominator
8 3/4 = 8 9/12(multiply both sides by 3)
4 2/3 = 4 8/12(multiply both sides by 4)
you do this because 12 is divisible by 3 and 4
then, subtract 4 8/12 from 8 9/12 because John is using some of the wood his dad gave him.
then subtract once again, taking 11/2 away from your difference.
again match the deominator of 11/2 to the deominator of your difference which should be 12. another divisible of 12 is 2 and 6.
11/2 = 66/12 = 5 6/12(multiply both the top and bottom by 6)
and start subtracting.
so John should have -1 5/12(?) wood left
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
Answer:
encerio y eso
Step-by-step explanation: