<span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.
We require B(n) = 0...i.e. balance of 0 after n months.
so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
Then, with some algebraic juggling we get:
n = -[log(1 - (Ai/P)]/log(1 + i)
Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43
Also, i = (13.6/100)/12 => 0.136/12 per month
i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)
so, n = 4.15 months...i.e. 4 payments + remainder
b) Now we have A = $754.43 - $300 = $454.43 so,
n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)
so, n = 1.54 months...i.e. 1 payment + remainder
</span>
Answer:
True
Step-by-step explanation:
∠4 ≅ ∠5 are corresponding angle and equal to each other
Juan Ramirez made $185.00
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
Answer:
M = 1
Step-by-step explanation:
Using the function concept, it is found that:
- The 1st graph is not a function.
- The 2nd and the 3rd graph are functions.
<h3>What is a function?</h3>
- In a <em>function</em>, <u>one value of the input can be related to only one value of the output</u>.
- In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis), that is, there cannot be point that are aligned vertically.
In this problem:
- On the <em>first </em>graph, there are points that are aligned vertically, for example, when x = -2, y = -2 and y = 2, hence, it is not a function.
- On the <em>2nd and on the 3rd graph</em>, there are no points aligned vertically, hence, they are functions.
To learn more about the function concept, you can take a look at brainly.com/question/12463448
