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Sergio [31]
3 years ago
8

Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.

7%, compounded monthly, and requires that the loan be paid off in eight years. Bank G charges an interest rate of 6.2%, compounded monthly, and requires that the loan be paid off in seven years. How would you recommend that Yvette choose her loan? a. Bank F offers a better loan in every regard, so Yvette should choose it over Bank G’s. b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost. c. Yvette should choose Bank G’s loan if she cares more about lower monthly payments, and she should choose Bank F’s loan if she cares more about the lowest lifetime cost. d. Bank G offers a better loan in every regard, so Yvette should choose it over Bank F’s.
Mathematics
1 answer:
umka21 [38]3 years ago
6 0
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!


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Find the volume of a box with a height that is 4 inches less than the
lbvjy [14]

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2

8 0
3 years ago
If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?
Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0
3 years ago
How the heck do I do this? And what’s the answer?
stira [4]

Answer:

Option A

Step-by-step explanation:

We need to find two expressions that, when simplified, give the same results.

1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by \frac{2}{3}. You also have to multiply \frac{1}{2}x and -\frac{1}{2} by 4. Then, simplify.

\frac{2}{3}(9x-6) + 4 (\frac{1}{2} x - \frac{1}{2})\\\frac{18}{3}x- \frac{12}{3} + \frac{4}{2}x -\frac{4}{2} \\6x - 4 + 2x - 2

2) Now, combine the like terms.

6x - 4 + 2x - 2

8x - 6

So, we need to find which of the expressions listed equal 8x - 6.

3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by \frac{3}{4}. Also, multiply 30x and 18 by \frac{1}{6}. Then, combine like terms and simplify.

\frac{3}{4} (4x-12) + \frac{1}{6}(30x + 18)\\\frac{12}{4}x-\frac{36}{4} + \frac{30}{6} x + \frac{18}{6}   \\3x - 9 + 5x + 3 \\8x - 6

This also equals 8x - 6. Therefore, option A is the answer.

5 0
2 years ago
Helpppp meeeeeee asssapppp noooo rockyyyyyy
Mamont248 [21]

Answer:

12

Step-by-step explanation:

4y - 2x

= 4(7) - 2(8)

= 28 - 16

= 12

4 0
3 years ago
- 21-p-11)<br><br> Giving branliest
posledela

Answer:

-32-p

Step-by-step explanation:

you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with

6 0
2 years ago
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