Answer:
The formula representing the penny's height as a function of time is:

After 7 seconds, the height of the penny will reach 667 feet.
Step-by-step explanation:
The penny experiences free fall.
With an initial velocity of zero and an initial height of h(0)=1,451.
Gravity acts as the acceleration, measured as g=32 ft/s^2.
The model can be initiated by analyzing speed:

Then, the height is expressed as:

The height of the penny at approximately 7 seconds can be calculated as:

After 7 seconds, the penny will stand at a height of 667 feet.
The solution for y is y = \frac{a}{3(3 + x)}
Answer:
The correct answer is (A) $304.47.
Step-by-step explanation:
The formula for calculating the future value (FV) of an amount (A), compounded daily at an interest rate of r%, over a period of n years is:
![FV=A\times [1+\frac{r\%}{365}]^{n\times 365}](https://tex.z-dn.net/?f=FV%3DA%5Ctimes%20%5B1%2B%5Cfrac%7Br%5C%25%7D%7B365%7D%5D%5E%7Bn%5Ctimes%20365%7D)
The provided information is:
A = $300
r% = 1.48%
n = 1 year
Calculate the future value as shown:
![FV=A\times [1+\frac{r\%}{365}]^{n\times 365}](https://tex.z-dn.net/?f=FV%3DA%5Ctimes%20%5B1%2B%5Cfrac%7Br%5C%25%7D%7B365%7D%5D%5E%7Bn%5Ctimes%20365%7D)
![=300\times [1+\frac{0.0148}{365}]^{365}\\\\=300\times (1.00004055)^{365}\\\\=300\times 1.014911\\\\=304.4733\\\\\approx \$304.47](https://tex.z-dn.net/?f=%3D300%5Ctimes%20%5B1%2B%5Cfrac%7B0.0148%7D%7B365%7D%5D%5E%7B365%7D%5C%5C%5C%5C%3D300%5Ctimes%20%281.00004055%29%5E%7B365%7D%5C%5C%5C%5C%3D300%5Ctimes%201.014911%5C%5C%5C%5C%3D304.4733%5C%5C%5C%5C%5Capprox%20%5C%24304.47)
Thus, the balance at the end of 1 year totals $304.47.
The correct choice is (A).