Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form. Use "/" for fractions with no s
Answer:
The theoretical probability that the spinner below lands on the letter B is 1/2
Step-by-step explanation:
Given
[tex]S =\{A,B,B,B,C,C\}[/tex]
[tex]n(S) = 6[/tex]
See attachment for spinner
Required
P(B)
From the attached spinner, we have:
[tex]n(B) = 3[/tex] --- occurrence of B
So:
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{3}{6}[/tex]
[tex]P(B) = 1/2[/tex]
What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.
Answer:
The surface area of the cylinder is of 131.947 square meters.
Step-by-step explanation:
Surface area of a cylinder:
The surface area of a cylinder of height h and radius r is given by the following equation:
[tex]S_a = 2\pi r(h+r)[/tex]
What is the surface area of the cylinder with a height of 3 m and radius of 4 m?
[tex]h = 3, r = 4[/tex].
So
[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]
Height and radius are in meters, so the surface area will be in square meters.
The surface area of the cylinder is of 131.947 square meters.
Write an equation to fit the following situation. On Monday, 340 students
went on a trip to the zoo. All 7 buses were filled equally and 4 students had
to travel in cars.
use your equation from above to solve how many students were on each bus
will mark brainliest
Answer:
48
Step-by-step explanation:
first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48
If the sales tax rate is 7.6%.how much sales tax will you pay on 330
item
Answer:
25.08
Step-by-step explanation:
330 x .076=25.08
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
zuma took a loan of 630 000 from the bank. he will repay the loan over 48 months at 9.5% per annum simple interest. how much interest will zuma pay on the loan
Answer:
Interest amount = 239400
Step-by-step explanation:
Below is the calculation of interest amount:
Given the loan amount or present value = 630000
Time period = 48 months or 4 years
Interest rate give = 9.5%
Total amount = P ( 1 + rt)
P = 630000
r = 9.5%
t = 4 years
Total amount = 630000 ( 1 + 9.5% x 4)
Total amount = 869,400
Interest amount = 869400 - 630000
Interest amount = 239400
What angle is this?
-Complementary
-Supplementary
-Vertical
-Adjacent
Answer:
Adjacent
Step-by-step explanation:
Since angle a and b are right next to each other, they would be adjacent.
How many terms are in the following expression:
45x + 13x − 19 + 16/3(3)x − 21.5
Answer:
45+13−19+163(3)⋅\−21.5 They also have a pdf if you need it
unit 6-10 answer key.pdf
Step-by-step explanation:
what is the chancr of rolling a 7 or a 9 on two dice .
Answer:
5/18 0r 27.77%
Step-by-step explanation:
I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.
A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
What is the answer of this
Please help I need it in 5 minutes
A.
B.
C.
D.
Choose the one that would not fall on this line
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
Step-by-step explanation:
would you still like me to help you with this question
Answer:
0.3
Step-by-step explanation:
Which graph is the solution to x < 6
Answer:
C.
Step-by-step explanation:
hope this helps
Answer:
C
Step-by-step explanation:
C shows it being anything below six, and if x is less than six this is the correct answer.
PLEASE HELP FOR BRAINLIST
need help with finding measurement for the cylinder
Answer:
3
Step-by-step explanation:
[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]
Help, please
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
g(x)=2x+h+k
Answer:
g(x)=2x-1+7 or g(x)=2x+6
Step-by-step explanation:
Its the opposite when your subtracting and adding
Melissa wants to expand her rectangular sandbox that measures 4 feet by 8 feet. Two sides of the sandbox are against a fence. She wants to increase the length and the width of the sandbox by the same amount on the two sides that are not against the fence. The total area of the new sandbox will be 60 square feet. What is the amount of increase?
Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.
Will mark brainliest ❤️
Answer:
The answer is A
Step-by-step explanation:
Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps
Find the a value, b value, and c value.
Answer:
aX²+bX+c=0
a=1
b=-8
c=12
HELP PLEASE ASAP PLESDE HELP
Answer:
16^¼=2
Step-by-step explanation:
16^¼=⁴√16
so, 2⁴=16
so it's 2,
verification
2×2×2×2=16
Answer:
2
Step-by-step explanation:
Which function has the least rate of change?
Find the value of p when 3^p=1/9
Answer:
[tex]p = -2[/tex]
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for p .
You spin a spinner and flip a coin. Find the probability of the events.
15. Spinning a 4 and flipping heads
16. Spinning an even number and flipping tails
17. Spinning a multiple of 3 and flipping heads
18. Spinning white and not flipping heads
The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a rectangle with a perimeter of 34 inches and a length of 5 inches. In your final answer, include all necessary calculations.
Answer:
12 inches
Step-by-step explanation:
5 + 5 = 10
34 - 10 = 24
24 ÷ 2 = 12
Therefore, the answer is 12 inches.
1
2.- of a number is 8, what is the number?
a ,
4
Answer:
the answer for this question is 4
Y
х
B В
The transformation below is applied
to AXYZ
(XY) → (0.5x, 0.5y)
What are the coordinates of point X"?
0 62.0.5)
(0.5,-2)
(2.0.5)
0 1.2, 0.5)
Answer:
(-2, 0.5) first
Step-by-step explanation:
X (-4, 1) → X' (-4*0.5, 1*0.5)
X'(-2, .5)
Find measure angle GJK (5x + 8) (7x - 16)
Hi there!
[tex]\large\boxed{22^o}[/tex]
Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.
Using the Alternate Interior Angle theorem:
m∠HJI = m∠JHG, so:
7x - 16 = 5x + 8
Solve for x:
2x - 16 = 8
2x = 24
x = 12
Substitute in this value of x to solve for m∠HJI:
7(12) - 16 = 84 - 16 = 68°
Thus:
m∠GJH = 90 - 68° = 22°