Answer:
$621.33
Explanation:
The amount due at compound interest is calculated using the formula below:
![A(n)=P\left(1+\frac{r}{k}\right)^{nk}\text{ where }\begin{cases}P=\text{Principal Invested} \\ r=\text{Interest Rate} \\ k=\text{Number of compounding periods}\end{cases}](https://tex.z-dn.net/?f=A%28n%29%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bk%7D%5Cright%29%5E%7Bnk%7D%5Ctext%7B%20where%20%7D%5Cbegin%7Bcases%7DP%3D%5Ctext%7BPrincipal%20Invested%7D%20%5C%5C%20r%3D%5Ctext%7BInterest%20Rate%7D%20%5C%5C%20k%3D%5Ctext%7BNumber%20of%20compounding%20periods%7D%5Cend%7Bcases%7D)
In our case:
• P =$290
,
• n = 7 years
,
• k = 1 (Annually)
,
• r = 11 1/2% = 11.5% = 0.115
Substitute these values into the formula:
![\begin{gathered} A(7)=290\left(1+\frac{0.115}{1}\right)^{7(1)} \\ =290(1+0.115)^7 \\ =290(1.115)^7 \\ =\$621.33 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%287%29%3D290%5Cleft%281%2B%5Cfrac%7B0.115%7D%7B1%7D%5Cright%29%5E%7B7%281%29%7D%20%5C%5C%20%3D290%281%2B0.115%29%5E7%20%5C%5C%20%3D290%281.115%29%5E7%20%5C%5C%20%3D%5C%24621.33%20%5Cend%7Bgathered%7D)
The amount at the end of 7 years is $621.33.
3w(w) = 48
3w^2 = 48
w^2 = 48/3
w^2 = 16
w = sqrt 16
w = 4
Answer:
506
Step-by-step explanation:
The count is multiplying by 1.5 each day, so after 4 days, it will have multiplied by 1.5^4 = 5.0625
Then the count is predicted to be ...
100·5.0625 ≈ 506.25
The count will be 506 after 4 days.
Answer:
I believe 40 is the height from which the ball was dropped