If the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942 if they make a minimum payment of $175 each month and no additional purchases are made? months.
The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%
After calculating from the payment formula:
The payoff = 6.13 years = 73.56 months
Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942
Learn more about the compound interest here:
brainly.com/question/26457073
#SPJ1
Find the equation of the quadratic function with vertex (– 2, – 6) that goes through the point (-4, -18)
Answer:
y = -3(x+2)^2 - 6
Step-by-step explanation:
y = a(x+2)^2 -6
-18 = a(-2)^2 - 6
-12 = 4a
a = -3
y = -3(x+2)^2 - 6
If CDEF is a kite, CD =15 find CG
Answer:
Step-by-step explanation:
CD = 15, so we have the hypotenuse.
DF = 18, but we can find a leg by 18/2 which is 9
using our pyth. theorem, 15^2=9^2+CG^2
CG = 12
Hope this helped
pls help!! i rlly need this quick
Answer:
See below ~
Step-by-step explanation:
Combination Rule
ⁿCₓ = n! / (n - x)! x!#1) ²²C₂₀
²²C₂₀ = 22! / 2! 20!22 x 21 x 20! / 2! x 20!22 x 21 / 211 x 21231#2) ¹²C₈
¹²C₈ = 12! / 4! 8!12 x 11 x 10 x 9 x 8! / 4! x 8!12 x 11 x 10 x 9 / 4 x 3 x 211 x 5 x 999 x 5495Answer:
[tex]\displaystyle ^{22}C_{20} =231[/tex]
[tex]\displaystyle ^{12}C_{8} =495[/tex]
Step-by-step explanation:
Binomial Coefficients
[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]
[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]
[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]
Please help just this that's all
Answer:
7 × 10⁴ (option D.)
Step-by-step explanation:
Take the missing value as 'x'.
5 × 10³ + x = 7.5 × 10⁴
x = (7.5 × 10⁴) - (5 × 10³)
x = (7.5 × 10000) - (5 × 1000)
x = 75000 - 5000
x = 70000
x = 7 × 10⁴ (option D.)
______
Hope it helps ⚜
[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]
to find:the true equation
solution:let the unknown be y
[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]
[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]
[tex]y = 75000 - 5000[/tex]
[tex]y = 70000[/tex]
[tex]y = 7 \times {10}^{4} [/tex]
therefore, the correct answer is option D
20 points given and brainiest for correct answer
Answer:
B is correct
I = (5200)(0.06)(2.5)
Step-by-step explanation:
Brainliest would be very much appreciated
what are the two correct answers?
Answer:
y ≥ 1 or y ≤ -2.4
Explanation:
| 10y + 7 | ≥ 17
---------------------
[tex]\sf {Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\ge \:a,\:a\: > \:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a[/tex]
-------------------------
10y + 7 ≤ -1710y ≤ -17 - 710y ≤ -24y ≤ -2.4-------------------------
10y + 7 ≥ 1710y ≥ 10y ≥ 1How to do the circumference of a semicircle with a radius of 7 1/2.
Answer:
38.6 units (nearest tenth)
Step-by-step explanation:
Formulae
Diameter = 2r Circumference = 2πr(where r is the radius)
Circumference of a semicircle = diameter + half the circumference
⇒ Circumference of a semicircle = 2r + πr
Given:
[tex]\sf radius\:{(r)=7\frac12=7.5[/tex][tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]
Circumference
πr+2rr(π+2)7.5(3.14+2)7.5(5.14)38.6units²select the correct location on the number line which point on the number line represents the approximate volume of a cylinder with a radius of 4 units snd a height of 4 units?
Answer:
Step-by-step explanation:
Volume = Volume = π r^2 h r^2 h
= 4^2 * 4 * π
= 64π
which is about 64 * 22/7
= 200
which is the 5th point from the left.
PLEASE HELP just need a quick answer!!! will give brainly!!!
A moving-van rental company uses the polynomial 130 + 0. 75(m – 200) to calculate the rental charges if a customer drives a van more than 200 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 200 miles in one day
Answer:
im not sure but i think this is the answer
Step-by-step explanation:
I think it would be 130 + 0.75m
Which simplified could be 130.75m Hope it helps! :)
0.75m - 20
[tex]130+0.75\left(m-200\right)\ =\ 0.75m-20[/tex]
Step-by-step explanation:[tex]0.75(m-200) + 130[/tex]
The slope is 0.75
Substitute m for 0 ( [tex]0.75(-200) + 130[/tex])
Evaluate the equation ( [tex]0.75(-200) + 130[/tex]) = -20, this is the y-intercept
now the equation is [tex]slope + intercept[/tex] = [tex]0.75 -20[/tex]
if 1 foot equals 20 feet, 151 feet = ? (scale factor)
Answer:
3020
Step-by-step explanation:
What is the measure of ∠P ?
with explanation pls
Answer:
80°
Step-by-step explanation:
we know angle R and angle Q are equal cause of the dashes
so
2x+30=6x-10
and then solve
30=4x-10
40=4x
10°=x
since they're equal just plug in X for one
2(10)+30= angle r
50° = angle r
we have two 50° angles and we know every triangle is 180°
so create the formula
angle r + angle q + angle p =180°
fill it in
50° + 50° + p = 180°
so angle p= 80°
How much water does a cube-shaped tank with equal dimensions of 3.3 feet hold?
We need the volume
Side=a=3.3ftVolume:-
a³3.3³35.94ft³To find how much water the cube can hold
⇒ must find volume
⇒ which is the amount of space that a shape occupies, or
that is enclosed within the shape
The volume of a cube-shaped tank:
⇒ is the length, width, and height multiplied together
⇒ since this is a cube, all the side lengths are equal
⇒ Volume = (side-length)^3
Based on the information given
⇒ side-length is 3.3 feet
Therefore:
Volume = [tex]3.3^3 = 35.937ft^3[/tex]
Thus the cube-shaped tank can hold 35.937 cubic feet of water
Answer: 35.937 cubic feet of water
Hope that helps!
If abcd is also a rhombus, what must be the value of x? 13 15 18 23
Answer: it’s 13
Step-by-step explanation:
I just took the Unit Test On Edge2022
in which age bracket does the most number of parcitipants fall?
The most number of participants fall on the age bracket of 37-39.
hope this helps
Can someone help me with these 3 questions? I need them asap (Test) Screenshots are below! I will give 15 pts!
Answer:
Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]
Triangle #1
[tex]21^2+x^2=29^2[/tex]
[tex]x^2=29^2-21^2[/tex]
[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]
Triangle #2
[tex]1.6^2+3.0^2=x^2[/tex]
[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]
Triangle #3
[tex]x^2+40^2=41^2[/tex]
[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]
I hope this helps!
A solid shape is made by joining two cones.
Each cone has the same radius.
One cone has
slant height = 2 × radius
The other cone has slant height = 3 × radius
The total surface area of the shape is 135. 21 cm²
Curved surface area of a cone = tırl where r is the radius and / is the slant height
Work out the radius.
The surface area of the solid shape is the amount of space on it
The radius of the two cones is 2.93 cm
How to determine the radius?The given parameters are:
Cone 1: slant height, l = 2rCone 2: slant height, L = 3rSurface area = 135. 21 cm²The surface area of the shape is calculated using:
T = πr(L + l)
So, we have:
135.21 = πr(2r + 3r)
Evaluate
135.21 = 5πr²
Divide both sides by 5π
r² = 135.21/5π
Evaluate the quotient
r² = 8.61
Take the square root of both sides
r = 2.93
Hence, the radius of the cones is 2.93 cm
Read more about surface area at:
https://brainly.com/question/6613758
How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?
Answer:
Shift 1 unit to the right
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
The given function is
So, the given function can be written in the form of basic form as
...(1)
The translation is defined as
.... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer: b.) shift 1 unit to the right
Step-by-step explanation: on edg 2020
The mayor wants to know how the people of the city feel about a bottle tax. she sends her staff to a randomly selected block in each of the city's election districts. the staff members interview all the residents on the block that are home that day. what is the population? all the people in the city all the people who live on the block all the people who live on the block and are home that day
The population is all the people in the city, and sample is all the people who live on the block and are home that day.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.
According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.
If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.
Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.
Learn more about the population and sample here:
brainly.com/question/9295991
Answer:
The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.
(A) or All the people in the city
the second part (C) or all the people who live on the block and are home that day
Step-by-step explanation:
got it right on edg
A rectangle measures 9 4/5 meters 5 3/4 meters. What is its area?
Answer:
56.35 meters squared
Step-by-step explanation:
lmk if its inches
Which expression represents "eight less
than twice a number"?
Answer:
2n-8
Step-by-step explanation:
The expression eight less then twice a number will be shown in the following steps.
First, we tackle the first part of the sentence “Eight less” from here we can derive that there is a -8 in the expression.
Secondly, we can tackle the second part “twice a number” so this would be mean 2 times N, or 2n
From the two steps previously we can the conclude the answer must be 2n-8
A , B , C , D ??????????????????????
Answer:
3 2/3 cups
Step-by-step explanation:
1 1/3 for one recipe.
2/3 cups for the second recipe.
1 2/3 for the third recipe.
Add all of the amount of cups used to get the total amount of sugar used.
1 1/3 + 2/3 + 1 2/3 = 3 2/3
She used 3 2/3 cups of sugar in all.
hope this helps!! p.s. i really need brainliest :)
A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurants new spaghetti sauce. Which graph shows a relationship between y, the number of customers who preferred the new spaghetti sauce, and x, the total of customers?
The graph that shows the proportional relationship y = 0.7x is Graph A.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:
k = 7/10 = 0.7.
And the equation is:
y = 0.7x.
When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.
More can be learned about proportional relationships at https://brainly.com/question/10424180
Solve the following....
[tex]2(x-3)=2x+4[/tex]
Answer:
No answer. The question is not correct. 2x-6 cannot be equal to 2x+4
Step-by-step explanation:
2(x-3) = 2x+4
2x-6 = 2x+4
This can't be true. 2x-6 cannot be equal to 2x+4:
Subtract 2x from both sides and we are left with -6 = 4: FALSE
Answer:
no solutionStep-by-step explanation:
Taking the LHS and distributing
2(x - 3)2(x) - 2(3)2x - 6Equating to the RHS
2x - 6 = 2x + 4On inputting any value for x, this equation will not be correct.
Hence, it has no solution.
Julia T. earns $22.22 per hour. What is her straight time pay for a 36-hour week?
Answer: her pay was $799.92
Step-by-step explanation:
multiply the number of hours she worked by her pay per hour:
22.22(36)
= 799.92
Answer:
given:
hours worked=36hours
payment per hour=$22.22
to find:
payment in a week
solution: 22.22×36
=799.92$
ans:her total pay for a 36 hour week is $799.92
Help me quickly please, im not good at this kind of math.
Answer:
*Bottom*
Step-by-step explanation:
so hat is $8.50
gloves are $51
cleats are $85
cleats are $76.50 more than the hat.
what value makes the following equation true? x + 10 = 18
x=8
Solution:In order to determine the value of x that makes the equation true, we need to subtract 10 from both sides:x+10=18x=18-10x=8Therefore, when x=8, the equation x+10=18 is true.Hope it helps.
Do comment if you have any query.
Answer:
8 + 10 = 18
Step-by-step explanation:
no need for explanation simple addition
A. 5
B. 7
C. 2.6
D. 5.5
Answer:
A 5 is the distance between
Step-by-step explanation:
(-2 -2)^2 + ( 0-3)^2 = d^2
d = 5
Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest 10th of an hour, will it take them to paint the room together?
Answer:
0.6 hours or 40 mins
Step-by-step explanation:
1/2 + 1/6 = 2/3
A manager drew this box-and-whisker plot to represent the weights, in pounds, of the 440 crates the company is shipping.
Box-and-whisker plot ranging from 80 to 180 with ticks at increments of 2.5. Plot defined by points at 84, 99.5, 113, 143, 170.
How many crates weigh more than 99.5 pounds?
Select from the drop-down menu to correctly complete the statement.
About
Choose...
crates weigh more than 99.5 pounds.
Answer:
330
Step-by-step explanation:
took the test
Answer:
330 is the answer.
Step-by-step explanation: