a) You can afford a loan of approximately $96,927.88.
b) You will pay a total of $288,000 to the loan company.
c) Approximately $191,072.12 of that money is interest.
To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:
M = P * (r(1+r)^n) / ((1+r)^n - 1)
Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).
a) First, we need to calculate the monthly interest rate and the total number of payments:
Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583
Total number of payments = 30 years * 12 months/year = 360
Now we can plug in the values into the formula:
800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)
To solve for P, we can rearrange the equation:
P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)
Using a calculator, we find that P is approximately $96,927.88.
b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:
Total money paid = $800 * 360 = $288,000
c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:
Interest = Total money paid - Loan principal
Interest = $288,000 - $96,927.88
Interest = $191,072.12
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HELP ASAP BRAINLIEST!
One pump can fill a tank of water in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
1.7 hours
6.7 hours
.5 hours
2.3 hours
Answer:
1.7
Step-by-step explanation:
in one hour, the first pump can fill the tank 1/4 of the way
in one hour, the other can fill it 1/3 of the way.
get them to the same denominator.
3/12+4/12=7/12 of the tank in one hour
1÷7/12=12/7=1 5/7=1.7
how do I convert Fahrenheit to Celsius? my homeschooling program does a very confusing job at explaining things.
Answer:
start with your fahrenheit then Subtract 32 then divide by 1.8
Step-by-step explanation:
David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)
Answer:
Inequality: 8.25x + 54 = 9.75
Step-by-step explanation:
Why?
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
While Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
The like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Therefore, it’ll take 36 hours for David to have as much as Fatima.
Answer:
36 hours
Step-by-step explanation:
stay great peepz!
-TinyDiamond
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
A. 5y = 45.00; y = 9.00
Step-by-step explanation:
Step 1:
There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.
So, the amount of money the friends contributed is 5y.
The total amount of all the friends' money put together is given; $45.00.
So 5y = 45.00
______________
Step 2:
Divide 45.00 by 5 to find out how much each of the five friends contributed individually;
45.00 ÷ 5 = 9.00
So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.
y = 9.00
______________
Model it:
5y = 45.00; y = 9.00
______________
Hope this helps! :)
what type of number is 40 squared
a. whole number
b. integer
c. irrational
d. rational
(THE ANSWER CAN BE MORE THAN ONE CHOICE)
Answer:
Step-by-step explanation:
A. C. np
-2(x + 3) = -2(x + 1) - 4
Answer:
infinite solution
Step-by-step explanation:
-2 times x is -2x
-2 times 3 is -6
-2 times x is -2x
-2 times 1 is -2
the equation now looks like this:
-2x-6=-2x-2-4
Simplify
-2x-6=-2x-6
0=0
So this is an infinite solution
Hope this helps!
Pls answer this question
Answer:
648
Step-by-step explanation:
02 =29283 \y8283 862bh7363 sin tag 2836
A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation LaTeX: 1.5s+3.5c=21 represents the relationship between sheets of stickers, LaTeX: s, packs of cardstocks, LaTeX: c, and the dollar amount a kindergarten teacher spent on these supplies.
Answer:
Done
Step-by-step explanation:
Teacher bought $21 worth of stickers and cardstock for his class.
Cost of stickers = $1.50 per sheet
Cost of 's' sheets = $1.5s
Cost of cardstock = $3.50 per pack
Cost of 'c' packs = $3.5c
Equation representing the relationship between sheet of stickers and packs of cardstocks will be,
1.5s + 3.5c = 21
3.5c = -1.5s + 21
1).
y-intercept of the line → (0, 6)
x-intercept of the line → (14, 0)
Therefore, equation of the line represents the line on the graph.
2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.
Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.
May I please receive help?
Answer:
a) 60° b) 50°
Step-by-step explanation:
The measurements of a triangles total angles is always equal to 180.
In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.
In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.
All you need to do now is subtract 80 from 180 and divide the diffrence by 2.
So, 180-80=100
100/2=50
S=50
Q=50
I hope this helped! :D
Pls Help
A sporting goods manufacturer requires 5/6 yd of fabric to make a pair of soccer shorts. How many shorts can be made from 35 yds of fabric?
Answer:
[tex]42[/tex]
Step-by-step explanation:
Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.
So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].
We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].
We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].
So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.
Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.
The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity
The students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
Reasons:
Question: The table of the question is presented as follows, and the graph of the inequality is attached
[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]
Solution:
The inequality with the same solution as the given graph is x < 4
The inequalities created by the students are;
Amanda;
-3·x + 5 > -7
Rearranging the above inequality gives;
-3·x + 5 - 5 > -7 - 5
-3·x > -12
Dividing both sides by (-1) and reversing the inequality sign gives;
[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]
x < 4
Therefore;
The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriateBriana;
The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]
Multiplying both expressions on either side of the equality by 2 gives;
[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]
(2·x - 4) > 4
2·x > 4 + 4 = 8
[tex]x > \dfrac{8}{2}[/tex]
Therefore
x > 4
The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graphCourtney;
The inequality created by Courtney is -7·x + 8 > -3·x + 24
Rearranging gives;
8 - 24 > -3·x + 7·x
-16 > 4·x
4·x < -16
[tex]x < \dfrac{-16}{4}[/tex]
x < -4
Courtney's solution is x < -4, which is not an appropriate solution to the given graphDiana;
Diana's solution is 9·x - 6 < 3·x + 18
Rearranging, we get;
9·x - 3·x < 18 + 6
6·x < 24
[tex]x < \dfrac{24}{6}[/tex]
x < 4
Therefor;
Diana's solution is an appropriate solution to the given graphTherefore, the students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
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Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure
Answer:
Step-by-step explanation:
2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees
Let the smaller angle be x
The larger angle will be 3x+8
X+3x+8=180
4x=180-8=172
X=172/4
X=43
3*43+8= 137
In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?
The question is an illustration of arithmetic operations.
The integer that represents the vertical rise is 76
Upward movements are represented with positive, while downward movements are represented with negative.
So, the given parameters are:
[tex]Up = 100m[/tex]
[tex]Down = -72m[/tex]
[tex]Up= 48m[/tex]
The vertical rise is:
[tex]Rise = Up_1 + Down + Up_2[/tex]
So, we have:
[tex]Rise = 100m -72m +48m[/tex]
[tex]Rise = 76m[/tex]
Hence, the integer that represents the vertical rise is 76
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Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm
The equation which relates the height of the flower pot based on the number of pots is 4a + 16
Creating a system of linear equations based on the information given :
a = number of flower pots b = height of base4a + b = 32 - - - - - (1)
2a + b = 24 - - - - - (2)
From (2)
2a + b = 24
Make b the subject ;
b = 24 - 2a - - - - (3)
Put b = 24 - 2a in (1)
4a + 24 - 2a = 32
4a - 2a + 24 = 32
2a = 32 - 24
2a = 8
a = 8/2
a = 4
From (3) :
b = 24 - 2(4)
b = 24 - 8
b = 16
The equation which relates the height of a flower pot is 4a + 16
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Graph the inequality on the number line
B>-9 graph
Answer:
-9=9
Step-by-step explanation:
that the answer I think
5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi
Answer:
(0,2),(1,6),(−2,−6) are solutions
Find the value of x.
A) 870
C) 127°
E) 66°
B) 106°
D) 100°
Answer:
100
Step-by-step explanation:
y + 140 = 180 {Linear pair}
y = 180 - 140
y = 40
Given triangle is an isosceles triangle.
x + y + y = 180 {angle sum property of triangle}
x +2y = 180
x +2*40 = 180
x + 80 = 180
x = 180 - 80
x = 100
1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?
Distributive property and division property of equality
Subtraction property of equality and division property of equality
Distributive property and collecting like terms property
Addition property of equality and division property of equality
Answer:
B. Subtraction property of equality and division property of equalityStep-by-step explanation:
Given equation:
8.5d + 7.5 = 100 + 3Step 1, subtract 7.5 from both sides:
8.5d = 103 - 7.5Step 2, divide both sides by 8.5:
d = 95.5/8.5Correct answer choice is B
(sinα+cosα)^2−(sinα−cosα)^2
Answer:
Error
Step-by-step explanation:
The answer is Error u might want to ask ur teacher
AB || DE. Calculate the value of angle x°.
Answer:
23 maybe because there is a 90 degree angle
Answer:
sorry sorry for bad hand writing
but u are right it is 153 degree
pls make me brainiliest
A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?
Answer:
$80.87
Step-by-step explanation:
The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87
If Mac were to get 76 apples from her friends and then get 3 more from the store, and then find two absolutely fine apples in the sewers, then go for a walk and find 7500 apples in someone's car, how many healthy apples would she find? Bet you can't solve it ;)
Answer:
3?
Step-by-step explanation:
Answer:
None because the apples are all poisoned.
Step-by-step explanation:
Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm
Answer:
take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root
What is 4.4 dvided 1.85
Answer:
2.378378378
Step-by-step explanation:
rounded it would be 2.4
On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?
The Monday and Tuesday attendance are illustrations of proportions.
Tuesday's attendance is larger than Monday's 7500
The given parameters are:
[tex]\mathbf{Monday = 4 \times 10^2}[/tex]
[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]
The number of times (n) the Tuesday attendance is larger than Monday's is:
[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]
So, we have:
[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]
[tex]\mathbf{n = 7500}[/tex]
Hence, Tuesday's attendance is larger than Monday's 7500
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Simplify 5^4/5^3
5^7
5^-1
1/5
1/5^7
Answer:
5^4-3
5¹
by law
a^m÷a^n= a^m-n
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced?
Answer:
The price of the dress was reduced by 25%
Step-by-step explanation:
Answer:
The price for the dress was reduced by 25%.
Step-by-step explanation:
25% of 40 is 10.
40 - 10 = 30, explaining the dress' price reduction from 40 to 30.
Hope this helps!
What can divided 62 and 30
When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number
Answer:
It would be 6.
Step-by-step explanation:
6 halved is 3.
3, then 5 added is 8.
I need help with this
Answer:-40 - 180=-220
Step-by-step explanation:
water is 0 so when subtracting it will be negative.
the answer is -220 because of how deep the submarine is.
you will keep subtracting the farther down you go.