The correct option is the first one - refer to the image for the solution:
Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>
Response:
To accumulate $7,500 in three years, the required one-time deposit is $4388.17
Step-by-step explanation:
Basic Financial Formulas
A commonly used formula for calculating present and future values is

Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.
The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We have changed n to months since r is monthly compounded. The equation

must be arranged to isolate PV.



Response
: The amount necessary as a one-time deposit to accrue $7,500 in three years is $4388.17[[TAG_54]]
The students likely won't care much about the spending because they aren't using their own money.