Answer:
a = 4/27 - b/81
Step-by-step explanation:
27a + 1/3 * b = 4
Subtract the term with b from both sides.
27a = 4 - 1/3 *b
Divide both sides by 27.
a = 4/27 - 1/81 * b
a = 4/27 - b/81
Answer:
Hi! The correct answer is 8/21!
Step-by-step explanation:
<em><u>~Simplify the expression~</u></em>
Answer:
It is proportional
Step-by-step explanation:
The pool is being filled at a constant rate.
Answer:
![FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590](https://tex.z-dn.net/?f=FV%3D%203200%281%2B%5Cfrac%7B0.026%7D%7B3%7D%29%5E%7B3%286%29%7D%3D3200%20%281.008667%29%5E%7B54%7D%3D%2050994.590)
Step-by-step explanation:
For this case we can use the formula for the future value with compound interest given by:
(1)
For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.
r represent the rate =0.026
t = 6 represent the number of years
P = 3200 represent the amount invested at the begin
If we apply the formula (1) we got:
![FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590](https://tex.z-dn.net/?f=FV%3D%203200%281%2B%5Cfrac%7B0.026%7D%7B3%7D%29%5E%7B3%286%29%7D%3D3200%20%281.008667%29%5E%7B54%7D%3D%2050994.590)
So then the balance after 6 years would be approximately 50995 with the conditions provided.