Answer:
5% Discount: $14,968.42
7% Discount: $12,099.56
Step-by-step explanation:
Since the discount rate is being compounded annually we can go ahead and use the Exponential Growth Formula, or in this case we will actually be using the Exponential Decay Formula since we are compounding a discount rate

Where:
- D is the present value
- a is the initial cash flow
- r is the discount rate in decimal form
- t is the span of time
Since we are looking for the present value in 10 years with a rate of 5%, we can plug these values into the formula and solve for D.




So the Present day value at 5% discount rate is $14,968.42 .
Now we can solve the equation at a 7% discount rate.




So the Present day value at 7% discount rate is $12,099.56
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Question 1: Option B: 
Question 2: Option C: 
Solution:
Question 1:
Given ratio is
.
To find the equivalent ratio of
.
10 and 14 have the common factor 2.
So divide both numerator and denominator by the common factor 2.



Hence option B is the correct answer.
Question 2:
Given ratio is
.
To find the equivalent ratio of
.
12 and 18 have the common factor 3.
So divide both numerator and denominator by the common factor 3.



Hence option C is the correct answer.
12 Laps can be done in 48 minutes
Here is a question about rate and proportions
From the question, we have that 1 lap took 4 minutes
Thus, the number of laps we can have in 48 minutes will be the obtained by dividing it by the time it took for one lap
Mathematically, we have this as;