The hypotenuse of the way that they have taken is equal to 2 miles. Jogging this distance with a rate of 5 miles per hour will take Jesse 0.4 hours. Further, for Mark to be back to the starting point, the total distance covered is 2.75. Dividing the distance by 12 miles per hour, it will take Mark only 0.23 hours. Thus, Mark will reach the initial point first.
Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

The interest is then calculated:

Mrs. Adams will earn $3,120 of interest at the end of year 8.
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The graphs of
can be obtained from the graph of the cosine function using the reciprocal identity, so:

But in this problem, the graph stands for the function:

Because the period is now 4π as indicated and for
in the figure and this can be proven as follows:

Also,
as indicated in the figure and this can be proven as:
