<h2>
Answer:</h2>
Total decease will be 0.75 cm
<h2>
Step-by-step explanation:</h2>
Decrease in height in each year = 1/4 cm
The decrease in 3 years would be
3 time 1/4
So the total decrease in three years will be
0.75
Answer:
117
Step-by-step explanation:
6/8 x/156 so 156/8=19.5*6=117
Answer:
undefined. No one knows the answer. ¯\_(ツ)_/¯¯
Answer:
He would have to invest $80,412.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Assuming an interest rate of 3,43% compounded quarterly.
This means that ![r = 0.0343, n = 4](https://tex.z-dn.net/?f=r%20%3D%200.0343%2C%20n%20%3D%204)
How much would he have to invest to have $148,700 after 18 years?
This is P for which
. So
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![148700 = P(1 + \frac{0.0343}{4})^{72}](https://tex.z-dn.net/?f=148700%20%3D%20P%281%20%2B%20%5Cfrac%7B0.0343%7D%7B4%7D%29%5E%7B72%7D)
![P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B148700%7D%7B%281%20%2B%20%5Cfrac%7B0.0343%7D%7B4%7D%29%5E%7B72%7D%7D)
![P = 80412](https://tex.z-dn.net/?f=P%20%3D%2080412)
He would have to invest $80,412.