Answer:
The monthly payment will be of $11,485.37
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.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.
Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
https://brainly.com/question/13796006
Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answer:
80 miles for the .9 one.
Step-by-step explanation:
Peterson Packaging Inc. does not currently pay dividends. The company will start with a $0.70 dividend at the end of year three and grow it by 10% for each of the next six years. After six years of growth, it will fix its dividend at $1.36 forever. If you want a 15% return on this stock, what should you pay today given this future dividend stream?
student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology
Answer:
7/8
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
Help me please I’m not smart -
1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Find the missing side length.
AJKL ~ AGKH
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
65
Step-by-step explanation:
Hi,
Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.
I hope this helps :)
Answer:
65
Step-by-step explanation:
The sum of the three angles of any triangle is equal to 180 degrees
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?
Multiply (6+3i)(3+i)
Dilations-He Said, She Said (12/10)
Answer:
um.....
Step-by-step explanation:
HELP PLEASE ! 15 POINTS NO SCAM LINKS OR REPORTED.
Answer:
I think it is either C or D
Step-by-step explanation:
I'm so sorry id didn't find the answer, i tried
Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.
Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Answer:
The percent markup is 91%.
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?
A. 60 in.
B. 40 in.
C. 30 in.
D. 20 in.
PQ are the first two letters and AB are the first two letters.
Since the windows are similar the letters in one are in the same orientation as the other ones.
This means PQ would be the same as AB
PQ = 60
The answer is A. 60 in.
Answer:
a
Step-by-step explanation:
when can a parallelogram also be a kite?
9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
Julio spent $52.43 on batteries. If they cost $7.49/pack, how many packs did he buy?
Answer:
7
Step-by-step explanation:
52.43 ÷7.74=7
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal
what is the total of 8 and 4 times y
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
[tex]a_{n} = a_0 + (n-1)d[/tex]
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]
ai = ai-1 + 6
This means that [tex]d = 6[/tex]
In this question:
Sum of the first 800 terms, so [tex]n = 800[/tex]
First term is -53, so [tex]a_1 = -53[/tex]
The 880th term is:
[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]
Sum
[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]
The sum of the first 880 terms in the sequence is 2,273,920.
add;200g+0.04kg=-----------dag
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
Convert 562 hectograms to pounds to the nearest hundredth
Answer:
Is that your answer
Answer:
123.90
Step-by-step explanation:
1 Hectogram = 0.22 lbs
[tex]562*0.22=123.90\\[/tex]
help pls will give brainliest !!!!
Answer:
can you retake the picture i cant really see this one very well
Step-by-step explanation:
10^(4x−1)=2^5 round the answer to the nearest tenth
HELP!
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..