Answer:
Explanation:
Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.
Given mortgage loan value of $389900
Interest rate of 4.85%
We are asked to calculate the interest over the life of the loan.
We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900
Formula for constant payments :
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= constant/monthly payments
r= interest rate on the mortgage loan
n= number of payments = 30×12= 360
P= mortgage loan given
A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1
=$389900×0.0485×1231340.79/25388468.94
=$389900×0.0485×0.04850
A= $917.142
Payment for five years(with interest)= $917.142×60= $55028.52
Calculate balloon payment:
FV= PV(1+r)^n - P((1+r)^n-1/r)
Where FV= future value of balloon payment
PV= initial loan given
r= interest rate on loan
n= number of payments
P= monthly payments
Substitute:
FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)
=$389900×1.2738-917.142(0.2738/0.004041)
=$389900×1.2738-917.142×67.756
= 496654.62-62141.87
FV = $434512.75
Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52
=
solve,,,,,,c-2= -1
please help !!!
Answer:
c=1
Step-by-step explanation:
add 2 to both sides
c-2+2=-1+2
then simplify
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x
Answer:
dont know
Step-by-step explanation:
40 over 100 Simplify the fraction below (14 points)
Answer:
0.4
Step-by-step explanation:
40 divided by 100= 0.4
Find the value of each angle mentioned above.
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 3.1 5.5 3.4 6.1 4.9
The following is the amount ($000) earned by a sample of 12 Klein models.
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 5.1 4.7
Required:
a. Find the degrees of freedom for unequal variance test.
b. State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK.
c. Compute the value of the test statistic.
d. Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.
Answer:
24 ; Tstat > Tcritical ; 0.052 ; Fail to eject the Null
Step-by-step explanation:
Claiborne model:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 $3.1 $5.5 $3.4 $6.1 $4.9
Sample size, n1 = 15
Using calculator :
Mean, m1 = 4.4
Standard deviation, s1 = 1.056
Klein model:
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 $5.1 $4.7
Sample size, n = 12
Mean, m2 = 4.38
Standard deviation (s) = 0.923
To obtain the degree of freedom for unequal variances test, use the Relation :
Degree of freedom (DF) = (s1²/n1 + s2²/n2)² / { [ (s1² / n1)² / (n1 - 1) ] + [ (s2² / n2)² / (n2 - 1) ] }
(1.056^2/15 + 0.923^2/12)^2 / {[(1.056^2/15)^2 / (15 - 1)] + [(0.923^2/12)^2 / (12 - 1)]}
0.0211226 / (0.0003947 + 0.0004581)
= 24.768527
df = 24 rounded down to the nearest whole number.
Decision region :
α = 1-0.95 = 0.05
Tdf, 0.05 = 1.711
Tcritical = 1.711
Reject Null, if Tstat > Tcritical
The t - test statistic :
(m1 - m2) / (s1²/n1 + s2²/n2)
(4.4 - 4.38) / sqrt(1.056^2 / 15 + 0.923^2 / 12)
0.02 / 0.3812301
= 0.0524617
= 0.052
Since, Tstat < Tcritical, we fail to reject the Null. It is not reasonable to conclude that Claiborne model earns more.
What is the mean of the data set 14, 12, 23, 15?
Answer:
16
Step-by-step explanation:
(14+12+23+15)÷4=16
Answer:
16
Step-by-step explanation:
Hope this help
Please help me on this question 30 points on the line
Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
Photo attached please help
Answer:
Wow your on apec to?
Step-by-step explanation:
Wait could you show the whole question and the other answers please. I was going to say C.
I noticed a few others answers missing so I can't properly answer your question.
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
Simplify (3^5)^2/3^-2
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
please help me
is importe
Answer:
11/24
Step-by-step explanation:
change it to :
20/24-9/24
then solve
Answer:
11/24
Step-by-step explanation:
10/12 - 3/8
10/12 + -3/8
5/6 + -3/8
20/24 + -9/24
20 + -9 / 24
= 11/24
Solve the system of equations –2 + y = 14 and -5x – 7y=10 by combining the
equations.
Submit Answer
attempt out of 2
o
PLEASE ANSWER!!
Answer:
Step-by-step explanation:
-2+y=14
-5x-7y=10
y=14+2
y=16
-5x-7(16)=10
-5x-112=10
+112 +112
-5x=122
x=-24.4
The amount of cases in Gotham city is 540
people for the first 12 of 2020. In July, a spike at the rate
of 5.2 people for each day in the month hits. Additionally, the
joker has infected all of Arkham Asylum's 225 patients with the
virus. What month will you hit 1,000 cases of cases in Gotham?
Answer: October, the 10th month
Step-by-step explanation:
540/12 = 45[with this in mind , we can assume that this is how many people get infected per month, except for July, and some factors.]
July is special for it not only has the specific unqiue rate of 5.2 infections per day. with this in mind, lets multiply....
5.2 x 31 = 161.2And to top it off, we have another 225 infections to consider.
So with consideration of 161.2, 225, 540, and the fact that 45 people get infected on an average month, lets add....
161.2 + 225 + 540 = 926.2
926.2 + 45 = 971.2
971.2 + 45 = 1016.2
It only took until the 10th month of october to hit 1000.
PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!
Answer:
1. C.
2. B.
Step-by-step explanation:
Hope This Helps!!! : )
3. Solve for x.
3r + 11
9x-14
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint. b) The wood you are using for the floor costs $3.50 per square foot. How much will it cost to buy the material for the floor, assuming you can buy a piece exactly the right size? Show your work.
Please Help ASAP
1. Andrew and Griffin both worked hard over the weekend. Together they earned a total of $65. Griffin earned $15 more than Andrew.
(a) Write a system of equations for the situation. Use a for the amount Andrew earned and g for the amount Griffin earned.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each person earned. (You must solve by graphing, other solving methods will not earn credit)
Answer:
2x-15=65
Step-by-step explanation:
You have to subtract 15 dollars from 65 because it is extra money that Griffin had earned. Now you are left with 40 so now you would divided 2 since its both Griffin and Andrew. At the end, Griffin earned 35 dollars and Andrew earned 20 dollars.
1. True or false: A function is a rule that assigns each input exactly one
output.
True
False
a. If a spinner is spun twice, are the events
independent or not independent? Justify
your answer.
2
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
A package of 11 slices of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answer:
$4.86
Step-by-step explanation:
2.97/11= .27 .27x18= $4.86
According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?
A): $10,470
B): $10,590
C): $11,150
D): $11,320
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Dont worry about what I type hear the answer is C
Can someone please tell me the answer ..
Answer:
148
Step-by-step explanation:
how do you solve these problems?
a. (2/7)x + 5= -21 and
b. 1/2(18x-2)=0
2 1/2 divided by 3 4/6=?
Please help me.
Answer:
15/22
Step-by-step explanation:
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system. It is spread by the Culex species of mosquito. In a particular region in 2010 there were 629 cases of neuroinvasive West Nile virus out of a total 1,021 cases in a sample, and there were 486 neuroinvasive cases out of a total of 712 cases in a sample in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases
Answer:
Yes, the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Step-by-step explanation:
2010 proportion:
629 cases out of 1021. So the proportion is:
[tex]p = \frac{629}{1021} = 0.616[/tex]
2011 proportion:
486 cases out of 712. So the proportion is:
[tex]p = \frac{486}{712} = 0.683[/tex]
0.683 > 0.616 so the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Answer:
for ppl with edge its c
Step-by-step explanation:
edge 2022
Multiply (5 + 4i)(3+ 2i)
Answer:
45
Step-by-step explanation:
Answer:
7 + 22i
Step-by-step explanation:
hope this helps
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?