The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by n = − log ( 1 − A r 12 P ) log ( 1 + r 12 ) a. A college student wants to buy a car and realizes that he can only afford payments of $200 per month. If he borrows $3000 and pays it off at 6% interest, how many months will it take him to retire the loan? Round to the nearest month. b. Determine the number of monthly payments of $611.09 that would be required to pay off a home loan of $128.000 at 4% interest.
The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by n = − log ( 1 − A r 12 P ) log ( 1 + r 12 ) a. A college student wants to buy a car and realizes that he can only afford payments of $200 per month. If he borrows $3000 and pays it off at 6% interest, how many months will it take him to retire the loan? Round to the nearest month. b. Determine the number of monthly payments of $611.09 that would be required to pay off a home loan of $128.000 at 4% interest.
Solution Summary: The author calculates the number of months taken to retire a loan of 3000 at entirely rate. Substitute the value given for the A, P, and r.
The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by
n
=
−
log
(
1
−
A
r
12
P
)
log
(
1
+
r
12
)
a. A college student wants to buy a car and realizes that he can only afford payments of $200 per month. If he borrows $3000 and pays it off at 6% interest, how many months will it take him to retire the loan? Round to the nearest month.
b. Determine the number of monthly payments of $611.09 that would be required to pay off a home loan of $128.000 at 4% interest.
Într-un bloc sunt apartamente cu 2 camere și apartamente cu 3 camere , în total 20 de apartamente și 45 de camere.Calculați câte apartamente sunt cu 2 camere și câte apartamente sunt cu 3 camere.
1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set
Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k
components, where k is the greatest common divisor of {n, r,s}.
Question 3
over a field K.
In this question, MË(K) denotes the set of n × n matrices
(a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is
equivalent to A-¹? Justify your answer.
(b) Let B be given by
8
B = 0 7 7
0 -7 7
Working over the field F2 with 2 elements, compute the rank of B as an element
of M2(F2).
(c) Let
1
C
-1 1
[4]
[6]
and consider C as an element of M3(Q). Determine the minimal polynomial
mc(x) and hence, or otherwise, show that C can not be diagonalised.
[7]
(d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write
down all the eigenvalues. Show your working.
[8]
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY