A.) Since there is not interest, there is no time value of money to be recovered. That means that the $100 today, would still be $100 a few years from now. The balance function would then be:
B(p) = $100 - 20p
b.) Since the half of 100 is 50, equate B(p) to 50
B(p) = 50 = 100 - 20p
p = 2.5
Therefore, after 3 payments, Jenna have paid back more than half of the loan.
c.1) The same procedure is done as that of part a. However, the base amount is $120 instead of $100, and the $20 is replaced with $15. The new equation becomes:
B(p) = 120 - 15p
c.2) To determine the time, let the balance zero out.
0 = 120 - 15p
Solving for p,
p = 8
Thus, Jenna could pay back the loan after 8 months.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
The common difference based on the sequence given is 15.
<h3>How to illustrate the sequence?</h3>
It should be noted that the sequence given Isa arithmetic sequence.
The common difference will be the second term minus the first term. This will be:
= 101 - 86
= 15
In conclusion, the difference is 15.
Learn more about sequence on:
brainly.com/question/6561461
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He / she didn’t drop down the 2 after subtracting 19 from 242, instead he / she dropped down a 0.
