You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Help me please! :Will give brainliest!:
Answer:
Step-by-step explanation:
Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!
Answer:
B, 2 5/6 x 2 5/6
Step-by-step explanation:
This is the only answer that is greater than 2 5/6
Find the surface area of the rectangular prism below.
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
solve the 2x-1/4+3x-2/3=25/12
Answer:
x=8/15
Step-by-step explanation:
2x-1/4+3x-2/3=25/12
2x+3x=25/12+1/4+1/3
5x=25/12+3/12+4/12
5x=32/12
5x=8/3
x=8/3÷5
x=8/15
Answer: 3 over 5
Step-by-step explanation:
Do quadratic functions and linear functions have asymptotes? If so how do you identify them
Answer:
wow thats some hardcore math ur learning
Step-by-step explanation:
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
18.0 x 9 but with a decimal
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answer:
the answer is 1 because the power of any no. 0 is always 1
Someone Please help me
Answer:
B. $104.95
Step-by-step explanation:
$160.45-$55.50=$104.95
3. The bakers at Healthy Bakery can make 240 bagels in 5 hours. How many bagels
can they bake in 13 hours? What was that rate per hour?
The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.
240/5 = 48
48 * 13 = 624
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Please help I’ll mark you as brainliest if correct!
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
NEEDED ASAP WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
for 14 is Surface are =2*(7*5+7*3+5*3)= 142 feet cubefor 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answer:
990
Step-by-step explanation:
Find the value of x in each figure
Answer:
Value of variable 'x' is 18.
Step-by-step explanation:
From the picture attached,
In right triangle XYZ,
m(∠YXZ) = (3x + 11)°
m(∠XYZ) = 90°
m(∠XZY) = 25°
By applying triangle sum theorem in the given triangle,
m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°
(3x + 11)° + (25)° + (90)° = 180°
3x + 126 = 180
3x = 54
x = 18
Therefore, value of variable 'x' is 18.
PLEASE HELP ASAP ???
Answer:
-1
Step-by-step explanation:
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answer:
3
one
will represent
the student
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
A circle has a radius of 12. what is the circumference of the circle
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
Find the area of this circle.
6 in.
Use 3.14 for
PLS HELP IM CONFUSED
Answer:
D
Step-by-step explanation:
6 and 3 can both be divided by 3, which gives u 2/1
Answer:
D. 2 cups of flour/1 cup of milk.
Step-by-step explanation:
Here's the definition of unit rate:
unit ratethe ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.
Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.
(6/3)/(3/3)
2/1
The unit rate between cups of flour to cups of milk is 2:1, which is D.
PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6
a. 3 to 8
b. 32 : 12
c. 4 to 2
d. 8 to 3
Question 3 options:
a & b
b & c
b & d
a & c
I'm pretty sure it a 3 to 8 and 32 to 12
Answer:
The answer will be b & c.
The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.
Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]
Which inequality can be used to find the domain of
Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
At a football game, a vender sold a combined total of 108 sodas hot dogs. The number of hot dogs sold was 52 less than the number of sodas sold Find the number of sodas sold and the number of hot dogs sold.
Answer:
28 hotdogs were sold and 80 sodas were sold.
'-''-'--'-'-'--''--'-'--'
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation: