You have just purchased a car and, to fund the purchase, you borrowed $32,000. If your monthly payments are $615.13 for the next 5 years, what is the APR of the loan?
Answers
9514 1404 393
Answer:
5.76%
Step-by-step explanation:
There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.
__
The value can also be found graphically from the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.
This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...
f(x) = A(P, x/100, t) -615.13
where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.
Related Questions
A.
Find the value of x
(80-x)
3x*
Answers
Answer:
x=80/3
Step-by-step explanation:
80=3x
80/3=3x/3
3's cancel out so you are left with x on the right
80/3 gives you a decimal so you can just leave it in fraction form
Manuel the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 12 clients who did Plan A and 2 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Manuel trained his Monday clients for a total of 21 hours and his Tuesday clients for a total of 12 hours. How long does each of the workout plans last?
Answers
5) The depth finder on a fishing boat gives readings
that are within 5% of the actual water depth. When
the depth finder reading is 250 feet, the actual
depth, x, could be expressed by the inequality:
|x-250| < 0.05x.
Write as two separate inequalities and solve each
part separately using algebra.
Answers
Answer:this is the work I’ve done so there
hi! ❤️ I’m looking for help here thanks.
Answers
Answer:
CBA = 88
BCA = 44
Step-by-step explanation:
Hope this helps! Pls give brainliest!
y=30x+25
how do you graph it?
Answers
Answer:
Step-by-step explanation:
Answer:
the slope is (0,25) and the y-intercept is 30
so plot the points (0,25) & (1,55)
Step-by-step explanation:
its should look like this (i promise its a pic and not one of those dum links lol)
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
A.
m = 6, A'B' =
B.
m = 21, A'B' = 3.5
C.
m = 21, A'B' =
D.
m = 6, A'B' = 3.5
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK
Answers
STEP BY STEP EXPLAINATION:
Plug it in:
F(1/2)=-3(1/2)^3+2(1/2)^2
F(1/2)=3/8+1/2
Add
3/8+1/2=7/8
ANSWER
7/8
Answer:
1/8
Step-by-step explanation:
f(1/2) = -3(1/2)^3 + 2(1/2)^2
f(1/2) = -3(1/8) + 2(1/4)
f(1/2) = -3/8 + 1/2
f(1/2) = 1/8
Hope this helps! Pls give brainliest!
Pat's soccer team has 15 players. 2
3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?
Answers
Answer:
10
Step-by-step explanation:
it worked for me on my School
Answer:
10
Step-by-step explanation:
this really works try it.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $7,200. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
$
Answers
Using the normal distribution and the central limit theorem, it is found that:
a) The 90th percentile for an individual teacher's salary is $50,216.
b) The 90th percentile for the average teacher's salary is $43,914.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of $41,000, thus [tex]\mu = 41000[/tex].Standard deviation of $7,200, thus [tex]\sigma = 7200[/tex].Item a:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28. Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 41000}{7200}[/tex]
[tex]X - 41000 = 1.28(7200)[/tex]
[tex]X = 50216[/tex]
The 90th percentile for an individual teacher's salary is $50,216.
Item b:
Average for a sample of 10, thus [tex]n = 10, s = \frac{7200}{\sqrt{10}}[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.28 = \frac{X - 41000}{\frac{7200}{\sqrt{10}}}[/tex]
[tex]X - 41000 = 1.28\frac{7200}{\sqrt{10}}[/tex]
[tex]X = 43914[/tex]
The 90th percentile for the average teacher's salary is $43,914.
A similar problem is given at https://brainly.com/question/24663213
here's the question ...........
Answers
Answer:
x intercept -7 and y intercept is 9
10. What is the solution of 2x + 11 = 51?
Answers
Answer: The area of a circular trampoline is 108.94 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
2x20=40, 40+11=51
Susanne runs a bakery. Five years ago the bakery sold 224 loaves of bread each day. Today they sell 329 loaves each day. What percent of increase in the number of loaves sold each day?
The percent of increase is %
(type a whole number or a decimal)
Answers
224-329/224=
46.875% increase
Answer:
46.875% - (rounded answers shown below)
Step-by-step explanation:
Percent increase can be calculated by this formula:
(new-original)/original * 100.
In this problem, the 'new' value is 329 because it is the large value and is the more recent out of the two values. Therefore, the 'original' value is 224, because it is the value that is less recent than 329.
So, plugging this into the formula, (329-224)/224. This becomes 105/224, which is 0.46875. We multiply this by 100, and the value then becomes 46.875.
If you want to round this percent, it becomes 47% (whole number) or 46.9% (decimal rounded to the nearest tenth)
hello there
im looking for help here. giving brainliest if able to.
Find the volume of a box with the following measurements:
l=6cm
w=4cm
h=10 cm
1: 20 cm2
2: 20 cm
3: 240 cm2
4: 20 cm3
5: 240 cm
6:
240 cm3
Answers
Answer:
4: 20 cm3
Step-by-step explanation:
6 x 4 = 24
24 x 10 = 240
it is cubic since it is volume
Answer: 6
Step-by-step explanation:
4 x 6 = 24
24 x 10 = 240
So the total volume is 240, but without the units it could mean anything. 240 inches or cows, so we have to add cm, but this number could also mean any measurement of centimeters, length, area, perimeter, so we add the 3 to get
240cm3
the 3 is the symbol for cubed, meaning it's measuring the volume of a three dimensional area.
A line passes through point (8,-9) and has a slope of
5/4
Write an equation in Ax+By = C form for this line.
Use integers for A, B, and C.
Answers
9514 1404 393
Answer:
5x -4y = 76
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For the given point and slope, this equation is ...
y -(-9) = 5/4(x -8)
Multiplying by 4 gives ...
4y +36 = 5x -40
Subttracting 4y and adding 40 puts this into the desired form.
5x -4y = 76
Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 1.
Answers
Answer:
136
Step-by-step explanation:
Common difference of 9 means that each term is 9 apart from each other:
1 + 9 = 10 + 9 = 19 + 9 = 28 ...
We can then find the nth term
The difference is 9 → 9n
The 0th term is 1 - 9 = -8
nth term = 9n - 8
Finally plug in (substitute) 16 for n
9(16) - 8 = 144 - 8 = 136
The 16th term is 136
Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 1.
Given : - common difference ( d ) = 9first term ( a ) = 1To Find : -We have to find the 16th term of Arithmetic Progression or sequence .
Concept : -Concept of this question belongs to arithmetic progression ( sequence ) where we can find the values of a , d , nth term by using nth term formula .
So Starting the Solution : -We know that 16th term of a.p. is ,
a + ( 16 - 1 ) da + 15 d --------- ( 1 )Here value of ,
a = 1d = 9Substituting, value of a and d in equation 1 :
1 + 15 ( 9 )1 + 135136Therefore , 16th term of the given arithmetic progression is 136 .
# [tex] \rm{Keep \: Learning}[/tex]There are 28 students in a class. Sixteen of the students are men. What percent of the class are women? Round to the nearest tenth.
Answers
Answer:
42.9%
Step-by-step explanation:
If 16 are men, this means 12 of the students are women (28 - 16 = 12)
So, 12 out of 28 are women = 12 ÷ 28 = 0.42857... = 42.857...% = 42.9%
1/4a + 4b
a = -7 b = 0
Answers
9514 1404 393
Answer:
-7/4
Step-by-step explanation:
If you want to evaluate the expression for the given values of the variables, put the variable value in its corresponding place in the expression and do the arithmetic.
1/4a +4b
= 1/4(-7) +4(0)
= -7/4 +0 = -7/4
7 1/3 or 6 2/3 pls help
Answers
Answer:
7 3/3
Step-by-step explanation:
+3221654236583217089
What is tan C?
А.
11
B
22
Enter your answer in the box. Express your answer as a simplified fraction.
tan C=
B
Answers
Answer:
Tan C = opp/adj
Tan C = 22/11
Bag A contains 7x counters.
Bag B contains 2x counters.
Five counters are taken from bag A and put in bag B.
Write an expression, in terms of x, for the number of counters now in bag B.
Answers
Please answer!no links!!
Picture is included
I selected b but not sure…
Answers
Answer:
B is the correct answer darling
Step-by-step explanation:
don't doubt yourself :)
have a lovely day <3
Answer:
B
Step-by-step explanation:
[tex]\dfrac{-1}{5}(30x-10)=15\\\\ \dfrac{-1}{5}*30x -10* \dfrac{-1}{5}=15\\\\-6x + 2 = 15[/tex]
Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 15. The sample of group-participation adolescents had an average of M = 53.8.
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α = .05.
Answers
Testing the hypothesis, we can conclude that since the p-value of the test is 0.0114 < 0.05, which means that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
At the null hypothesis, we test if the mean is the same of the general population, that is:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if it is different, that is:
[tex]H_1: \mu \neq 50[/tex]
The test statistic is given by:
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
For this problem, the parameters are:
[tex]M = 53.8, \mu = 50, \sigma = 15, n = 100[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]
[tex]z = 2.53[/tex]
Two tailed test, so the p-value is P(|z| < 2.53), which is 2 multiplied by the p-value of z = -2.53.
Looking at the z-table, z = -2.53 has a p-value of 0.0057
2(0.0057) = 0.0114
The p-value of the test is 0.0114 < 0.05, which means that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
A similar problem is given at https://brainly.com/question/25147864
Please Help! I will give you a lot of points!
Answers
#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
The sum of two numbers is
17. Their difference is 41. Find the numbers.
Answers
Answer:
The numbers are 12 and −29.
Mark me as the brainlist
HELP HELP HELP HELP HELP
Answers
Answer:
yesyes
Step-by-step explanation:
Ok so
he parent equation of the given graph is
where, n is any even number.
When this function is vertically shifted ( vertical dilation) down in the y- axis,
we get a graph similar to the one given in the question.
Your welcome Hope it REALLy help :).
the table shows amounts earned for pet sitting. how much is earned after a 9-day job
Answers
Answer:
There's no table, can you add a photo (I'll answer it when you add it)
Step-by-step explanation:
What type of polygon must have a diagonal such that at least part of the diagonal falls in the exterior of the polygon?
Choose the correct answer below.
Concave polygon
Convex polygon
Answers
Answer: Concave polygon
Step-by-step explanation:
Hope this helps!
Answer:
concave polygon
Step-by-step explanation:
the concave polygon has one of it corners facing inside of the shape.
where a convex polygon is like a normal polygon you see more often
Let's Create
Fill in the blank with the value that will make the equation true.
1) __+2/3= -1/4
2) __-3/4= -7/12
3) __÷3/4= -2
4) __÷0.04=800
5) (____)(5.6)= -6.72
Let's Analyze
Fill in the blank with the value that will make the equation true.
1) 1/4+___=7/12
2) 5/8-___= -3/8
3) 1/3÷___= 1/9
4) (2.1)(____)=0.63
5)_____-0.98= -7.65
Answers
Answer:
.
1) 1/4+___=7/12
2) 5/8-___= -3/8
3) 1/3÷___= 1/9
4) (2.1)(____)=0.63
value
I
3. Anayah is playing a game. She started with 10 points. In the first round she
lost 20 points. In the second round she won 45 points. Which of the
following shows the changes in Anayah scores?
a) 10 - 20 +45
b) 10 - 20 – 45
c) -10 - 20 + 45
d) -10 – 20 - 45
Answers
Answer:
A.
Step-by-step explanation:
It's set up exactly as it is said. She starts with 10 points automatically so you would put:
10
Then it says that she lost 20 points. Losing is subtraction. You would add this to the equation:
10-20
Then it says she won 45 points. Winning is addition. You would add this to the equation:
10-20+45
This equation matches up with A. thus A. being the correct answer. If they ask for the answer, it is 35 by the way. Hope this helps!
a) 10 - 20 +45
Step-by-step explanation:
Is known :
She started with 10 points.
In the first round she lost 20 points.
In the second round she won 45 points.
Asked :
Which of the following shows the changes in Anayah scores?Aswered :
She started with 10 points - In the first round she lost 20 points + In the second round she won 45 points
= 10 - 20 + 45
The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by one, the simplified result is 6/7. Find the original fraction.
Answers
Answer:
10/12
Step-by-step explanation:
Let's work backwards.
We decrease both 6 and 7 by one, then we get 5 and 6. So our new fraction is 5/6. We know that the denominator is two more than the numerator, so we have to pick numbers that are multiples of 5 and 6 and make it so the denominator is two more than the numerator.
Lucky for us we only have to multiply 5 and 6 by 2 to get an answer that works:
10/12