Answer:
32
Step-by-step explanation:
180+116= 296
360-296= 64
64/2= 32
jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.
a. what is the down payment?
b. what is the amount of the mortgage?
c. what are the closing costs?
d. what is the total amount of the mortgage if they finance the closing costs with the mortgage
The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.
Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.
Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.
So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.
To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000
Therefore, Jason's down payment is $43,000.b)
The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.
Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000
Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.
Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000
Closing costs = $13,545
Therefore, the closing costs are $13,545.
d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545
Total amount of the mortgage = $400,545
Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
For more questions Amount.
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A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?
Answer:
7/25
Step-by-step explanation:
This solid shape is made from 5 cubes.
Answer:
what is the question?
Step-by-step explanation:
Evaluate the expression when
x= -2 and y = 4
Expression: x² - 8
у
Answer:
x= -2 , y = 4
then
R/ (-2)² - 8(4)
R/ 4-32
R/ -28
Step-by-step explanation:
Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?
Answer:
380
Step-by-step explanation:
280 coffe machine
15 bag multiple for 40= 600 - 15%= 540
540+280=820
1200-820=380
A=144pi^2 ft. Find the radius
Which number is rational?
/2
10
O
16
Answer:
16
Step-by-step explanation:
Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).
pi is also known to be irrational although the proof is a bit more demanding.
Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational
Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
Learn more about compound interest here:
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Sample 1: 64, 52, 72, 56, 80, 68, 75, 58, 48, 55
Sample 2: 72, 36, 84, 92, 54, 72, 80, 62, 44, 32
How much greater is the interquartile range in Sample 2 than in Sample 1?
4.8
19
25
28
Answer: sample of 100
:3
PLEASE IM IN CLASS PLEASE
Answer:
71.88
Step-by-step explanation:
........................
So if 9 of the 32 are women, then everybody left would be a guy. That's 32 - 9 = 23 men. To turn that into a percentage, just divide the number of men by the total amount of people in the class: 23/32 = 71.875% which rounded is 71.88%
Find the gradient of the line passing through the points (4a, -a) and (6a, 5a)
Answer:
3
Step-by-step explanation:
Gradient is also called slope .
=> m = y₂ - y₁ / x₂ - x₁
=> m = 5a + a / 6a - 4a
=> m = 6a / 2a
=> m = 3
Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and drawn at random , what is the probability that you will draw the letters F-R-E-D in that order?
Answer:
24
Step-by-step explanation:
F R E D
F R D E
F E R D
F E D R
F D E R
F D R E
so for each letter u have 6 so 4 x 6=24
Write the equation of a line that passes through the point (0,5) and has a slope of 4/5
Answer:
[tex]m = \frac{4}{5} \\ from \: \: y = mx + c \\ at \: (0,5) \: \: \\ 5 = 0 \times \frac{4}{5} + c \\ c = 5 \\ equation \: is \: \: y = \frac{4}{5} x + 5[/tex]
What is the range of fat grams for the five sandwiches?
A. 15
B. 16
O c. 21
D. 21.2
.
O E. 24
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer: 9x^2-48x+64
I was wrong originally
I am so sorry
Step-by-step explanation:
(3x-8)(3x-8)
9x^2-24x-24x+64
9x^2-48x+64
Help brainliest
Write an equation in slope-intercept form of the line that passes through the given points
Answer:
y = - [tex]\frac{4}{3}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m = [tex]\frac{-1-3}{0+3}[/tex] = - [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - [tex]\frac{4}{3}[/tex] x - 1 ← equation of line
What is the value of −9×(14) ÷(−0.75)?
(NO FILES OR LINKS I CAN'T DOWNLOAD THEM
Answer:
Im pretty sure it's 168
Step-by-step explanation:]
9 x 14 = 126
126 ÷ 0.75 = 168
Equations
Yes
No
5a -1 = 14
true for a = 3
O ㅁ
100-b2= 80
true for b= 10
32 = 16
true for f = 2
Answer:
yes
No
yes
Step-by-step explanation:
I think it will help you
-4x + 10 = 42 what is the value of x
Answer:
x=-8
Step-by-step explanation:
Well subtract 10 on both sides
-4x=32
Div ide -4 on both sides
x=-8
Answer:
x = -8
Step-by-step explanation:
-4x + 10 = 42
-10 -10
-4x = 32
/-4 /-4
x = -8
to check work, insert x into the normal equation
-4(-8) + 10 = 42
32 + 10 = 42
Mario shot 30 baskets in 6 minutes. Chris shot 48 baskets in 8 minutes. How many more baskets did Chris shoot per minute?
Answer:
6
Step-by-step explanation:
You would first divide 48/8 than you would get 8 baskets per minute.
Answer:
6
Step-by-step explanation:
Mario: 1 minute = 5 baskets and 5 x 6 = 30.
Chris: 1 minute = 6 baskets and 6 x 8 = 48.
can someone please help? :)
Answer:
The first step is to find the volume of the two hemispheres.
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]
Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.
Volume of sphere
[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]
[tex] = 2304\pi \: in^{3} [/tex]
Volume of solid
= volume of cylinder -volume of 2 hemispheres
Let's find the volume of the cylinder.
[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]
Volume of cylinder
[tex] = \pi( {12}^{2} )(24)[/tex]
[tex] = 3456\pi \: in^{3} [/tex]
Thus, volume of solid
[tex] = 3456\pi - 2304\pi[/tex]
[tex] = 1152\pi[/tex]
[tex] = 1152(3.14)[/tex]
[tex] = 3617.28 \: in^{3} [/tex]
Answer:
Solution :-Volume of solid = Volume of Sphere - Volume of cylinder
Volume = 4/3πr³ - πr²h
Volume = 4/3 • π • 12³ - π • 12² • 24
Volume = 4/3 • π • 1728 - π • 144 • 24
Volume = 4 • π • 576 - π • 3456
Volume = π(3456 - 2304)
Volume = π(1152)
Volume = 3619.11 in³
[tex] \\ [/tex]
In a group of 25 boys , 8 are in the Science League team and 13 in the math League team and 6 in both the teams. How many are not in any team?
Can someone please help me with this ❤️❤️
Answer:
See below for answers
Step-by-step explanation:
y=5(2)ˣ
y=5(2)⁻²=5(1/2²)=5(1/4)=5/4
y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2
y=5(2)⁰=5(1)=5
y=5(2)¹=5(2)=10
y=5(2)²=5(4)=20
What is the length of the hypotenuse in the following figure.
Answer:
5
Step-by-step explanation:
what do you mean ?? its already written there
Answer:
The answer is 5
Step-by-step explanation:
The answer is 5 because the length across from the right angle is always the hypotenuse.
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
3.2 AT
The angles in the smaller prism measure 90
degrees.
The perimeter of the rectangular bases changes by
a factor of 2.
The surface area changes by a factor of 8.
The larger prism has twice the volume of the
smaller prism.
The area of the rectangular bases changes by a
factor of 4.
1.6
-
-
-
-
-
-
10.4
V
0.8
2.2.
Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
for what value of x does the function have an output of -7, given that g(x) = -3x + 8
Answer:
X=5
Step-by-step explanation:
-3x+8=-7
-3x=-15
X=5
-0.3x2 + 2x + 3
What is this equation in a table ?
Answer:
Here
Step-by-step explanation:
Just pick numbers and substitute it into the equation for x
Need help, have to submit this very soon!!
Answer:
see explanation
Step-by-step explanation:
length = [tex]\frac{60}{8}[/tex] = 7.5 in
scale factor = [tex]\frac{image}{original}[/tex] = [tex]\frac{8}{60}[/tex] = [tex]\frac{2}{15}[/tex]
---------------------------------------------------
length = [tex]\frac{192}{4}[/tex] = 48 cm
scale factor = [tex]\frac{omage}{original}[/tex] = [tex]\frac{4}{192}[/tex] = [tex]\frac{1}{48}[/tex]
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *
4 Wrong Answers
[tex]Correct = 11*4=44[/tex]
[tex]Incorrect = Correct - 40 = 4[/tex]
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13