Paying an extra $100 each month on a $60,000 loan with an 8% APR over 25 years will reduce the loan term and total interest paid. To calculate the effect, compute the total cost of the loan with and without the extra payments and subtract these two sums.
Explanation:The subject at hand pertains to understanding the impact of additional payments on a loan, which falls under the domain of financial mathematics. Let's dissect the impact of paying an extra $100 per month on a $60,000 loan with an 8% annual interest rate over 25 years.
Firstly, we need to calculate the monthly payment for a 25-year loan of $60,000 at 8% interest. This can be calculated by using a loan calculator or the loan payment formula. Then, calculate the total cost of the loan by multiplying this monthly payment by the number of months in the loan term (25 years x 12 months).
You then do a similar calculation, but this time add an extra $100 to the monthly payment. The extra repayment will reduce the loan term and decrease the total interest paid. To see the effect, compare the total cost of the loan with and without the extra $100.
Therefore, the difference between these two sums will give you the saved amount due to the additional $100 monthly payment. This saving is the effect of making additional payments on the loan.
Learn more about Loan payment here:https://brainly.com/question/34897239
#SPJ12
Making additional monthly payments can shorten the loan term and save money on interest payments.
Explanation:To calculate the effect of making additional monthly payments on the cost of the loan, we can compare the total interest paid and the duration of the loan with and without the additional payments. Without any additional payments, the monthly payment for a $60,000 loan with an 8% APR and a 25-year term would be $459.18. With an additional $100 each month, the monthly payment would increase to $559.18.
By making the additional $100 payments, the loan would be paid off faster, reducing the term from 25 years to approximately 17 years and saving the borrower 8 years of monthly payments. Additionally, the total interest paid over the course of the loan would also be significantly reduced compared to just paying the required monthly payments.
In summary, making extra monthly payments of $100 can shorten the loan term and save the borrower money on interest payments.
Learn more about Effect of additional monthly payments on a loan here:https://brainly.com/question/20374995
#SPJ12
A company ears a profit of $100 the first month it is in business. Every month after that, the
company ears a profit that is 1 1/2 the previous month's profit.
What will the company's profit be in the fifth month?
Good evening ,
Answer:
1318.75 $Step-by-step explanation:
Look at the photo below for the details.
:)
Please help with 22 I will give brainliest
Answer:
5 is the greatest number of cups we can make.
Step-by-step explanation:
Given: 50 red bears, 25 blue bears and 35 green bears.
Now, finding the greatest number of cups we can make with same number of each colour in cups.
∴ we will be using greatest common factor (GCF) to know the number of cups.
[tex]50= 5\times 5\times 2\\\\25= 5\times 5\\\\35= 5\times 7[/tex]
∴ [tex]GCF= 5[/tex]
5 is the greatest number of cups we can make with same number of each colour.
Use prime factorization to find the GCF of 10, 45
Answer:
GCF(10, 45) = 5Step-by-step explanation:
[tex]10=2\cdot\boxed{5}\\\\45=3\cdot3\cdot\boxed{5}\\\\GCF(10,\ 45)=\boxed{5}[/tex]
A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
50 gallos of 70%
100 gallons of 85%
Step-by-step explanation:
x = amount of 70% antifreeze
y = amount of 85% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .70x + .85y = .80(x + y)
Multiply second equation by 100 on both sides to remove the decimals 70x + 85y = 80(x + y)
70x + 85y = 80x + 80y (distributive)
70x - 80x + 85y - 80y = 0
-10x + 5y = 0
Now we have the following system of equations:
x + y = 150
-10x +5 y = 0
Multiply the first equation by 10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 5y = 0
------------------------------
15y = 1500
Solve for y 15y = 1500 y = 100
x+100=150 x=50
The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.
What is its area?
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)
[tex]72=2(l+10)[/tex]
[tex]72=2l+20[/tex]
subtracting both sides from 20:
[tex]72-20=2l+20-20[/tex]
[tex]52=2l[/tex]
Dividing both sides by 2:
[tex]52\div2=2l\div2[/tex]
[tex]26=l[/tex]
Length is 26 feet.
And, to get the area we put the formula of finding the area:
[tex]Area=length\times width[/tex]
[tex]Area=26\times 10[/tex]
[tex]Area=260[/tex]
Therefore, the area of the rectangular playroom is 260 feet² .
Final answer:
To determine the area of the rectangular playroom at Miss Pittypat's Day Care, we calculate the length using the perimeter and width provided, then multiply the length by the width. The playroom's area is found to be 260 square feet.
Explanation:
The question involves calculating the area of a rectangle when given the perimeter and the width. To find the length, we first use the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since the perimeter is given as 72 feet and the width is 10 feet, we can solve for the length:
72 = 2l + 2(10)
72 = 2l + 20
52 = 2l
l = 26 feet
Once we have the length, we calculate the area by multiplying the length by the width:
Area = l × w
Area = 26 ft × 10 ft
Area = 260 square feet
Therefore, the area of the rectangular playroom is 260 square feet.
what is (8,1) and (-3,5) in slope intercept form?
There are 3 blobs per $1.50 what is 6 blobs per _____
Answer:
$3
Step-by-step explanation:
3 blobs for 1.50
that means 1 blob is (1.50 / 3) which is 50 cents per blob
0.50 * 6 = 3 dollars for 6 blobs
The question is about cost ratios. Given that 3 blobs are worth $1.50, a single blob is worth $0.50. Therefore, 6 blobs would cost $3.00.
Explanation:The question is asking about cost ratios. In the presented situation, there are 3 blobs for every $1.50. We can say that the cost of one blob is $1.50 divided by 3, which is $0.50. If we are looking for the cost of 6 blobs, we simply multiply the cost of one by 6, which gives us $3.00. Therefore, 6 blobs cost $3.00.
Learn more about Cost ratios here:https://brainly.com/question/32936121
#SPJ12
Five math questions
Answer:
THE FIRST ONE IS -3<1
THE SECOND ONE IS 7.11>-7.1
THE THIRD ONE IS 16 OVER 5
I DON'T KNOW THE LAST TWO SORRY
Answer:
#1
# 1
x=4
don't know number 4 and 5
so i think it is
7 and 9
[3,4]
Step-by-step explanation:
Please help asap!!
Answer:
(4,-1)
Step-by-step explanation:
the graph goes up or down by 2 each time so 2x2=4
then half of -2 is -1
the numerator of a fraction is 9 and the denominator is6. all of the following numbers are equivalent except
Question is incomplete, complete question is given below.
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except _____.
A) 2/3
B)3/2
C)1 1/2
D)18/12
Answer:
A) 2/3
Step-by-step explanation:
Given:
The fraction is [tex]\frac{9}{6}[/tex]
By solving the above fraction to its simplest form we get
[tex]\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}[/tex]
Now For Option A which is [tex]\frac{2}{3}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is Not equivalent to given fraction.
Now For Option B which is [tex]\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option C which is [tex]1\frac{1}{2}[/tex]
Solving above equation to simplest form we get,
[tex]1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option D which is [tex]\frac{18}{12}[/tex]
Solving above equation to simplest form we get,
[tex]\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Hence all answer B C and D are all equal to [tex]\frac{3}{2}[/tex] except A which is [tex]\frac{2}{3}[/tex]
Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grapes?
Answer:
$0.64/lb
Step-by-step explanation:
The price per pound of the grapes is $0.8/pound and this can be determined by using the unitary method.
Given :
Dylan buys 3.2 pounds of grapes for $2.56.
To determine the price per pound of the grapes, the unitary method can be used and in the unitary method single unit is evaluated first then the necessary unit by multiplying the single unit.
Given that Dylan buys 3.2 pounds of grapes for $2.56 so, through the unitary method the unit price per pound will be:
[tex]=\dfrac{2.56}{3.2}[/tex]
= $0.8 / pound
So, the price per pound of the grapes is $0.8/pound.
For more information, refer to the link given below:
https://brainly.com/question/21648365
OMGGGGGGGGGG help me
Answer:
sin 39 = BS / 500
0.629320391 * 500 = BS
BS = 314.6601955 feet
ie. h = 314.66 feet
Answer:
404.9 m
Step-by-step explanation:
In the attached file
A bag contains white marbles and yellow marbles 58 in total. The number of white marbles is 2 more than 3 times the number of yellow marbles. How many white marbles are there
Answer:
44.
Step-by-step explanation:
Let, x= white marbles
and y= yellow marbles
Now, according to the first condition
x + y = 58 … (1)
According to the second condition,
x= 3y+2
Or, 3y - x = -2 … (2)
Adding (1) and (2)
4y= 56
Or, y= 14 ... (3)
Now, putting (3) in (1)
x = 44
Therefore there are 44 White marbles and 14 yellow marbles.
In 2018, there were 238 Republicans, and 201 Democrats in the House of Representatives. Find the percentage of Republicans in the House of Representatives in 2018.
Answer:
54.2%
Step-by-step explanation:
The total number is 238 + 201 = 439. The percent that is Republican is:
238 / 439 × 100% = 54.2%
The percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%, computed using the formula for percentage calculation - (number of Republicans/total number of representatives)*100.
Explanation:The subject of this question is Mathematics, specifically Percentage Calculation. To answer the question, we need to find the percentage of Republicans in the House of Representatives in 2018. Given that there were 238 Republicans and 201 Democrats, the total number of representatives is 238 + 201 = 439.
To find the percentage of Republicans, we divide the number of Republicans by the total number of representatives and multiply by 100. So, the calculation would be: (238/439) * 100, which gives approximately 54.21%. Therefore, the percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%.
Learn more about Percentage Calculation here:https://brainly.com/question/32197511
#SPJ2
-3x-4ya 2
Зr + 3y=-3
Answer:
x= -2 and y=1
Step-by-step explanation:
Given equations:
-3x - 4y = 2
3x + 3y = -3
Adding these two equations, we get:
3y - 4y = -1 ⇒ y=1
⇒ 3x + 3(1) = -3 ⇒ x=-2
Giselle pays $240 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Model the situation with a linear function.
A: b = 235 + 5x
B: b = 240 - 5x
C: b = 235 - 5x
D: b = 240 + 5x
Answer:
B) b = 240 - 5 x is the required expression to decipher the situation.
Step-by-step explanation:
The amount paid to the club in the advance = $240
Amount deducted in each visit = $5
Let us assume the number of times the club visited = x
So, the amount deducted in x visits = x ( $5) = 5x
Let b : amount Left after x visits
So, Amount left after x visits = Advance Amount - Deductions after x visits
⇒ b = $240 - 5x
or , b = 240 - 5x is the required expression to decipher the situation.
Answer:
Giselle pays $240 on advance
Each time she uses ,$5 is deducted
Let no of time she use be x
So, Amount deducted = 5x
As Giselle pays $240 in advance
So 5x amount will be deducted from $240 to get net amount
So b= 240-5x
B) is Correct
how many solutions are there to this equation 3(x-4)+5-x=2x-7
51/70 = x/100 Please answer I need help
Answer:
x=510/7
Step-by-step explanation:
51/70=x/100
cross product
70*x=51*100
70x=5100
x=5100/70
x=510/7
x =72.86. This means that 51 out of 70 is equivalent to 72.86%.
51/70 = x/100.
51 * 100 = 70 * x.
5100 = 70 x
5100 / 70 = x.
The result is x = 72.86.
So, x = 72.86.
This means 51 out of 70 is equivalent to 72.86 out of 100 as a percentage.
On a train car there are 30 rows of seats and each row has 5 seats .find the total number of seats on 6 train cars .draw a model and write an equation to support the answer
Answer:
900
Step-by-step explanation:
30 x 5 = 150 and 150 x 6 = 900. You would make a model with 5 rows of 30, then make 6 of them
The volume of Saturn is 8.27 × 10^14. This is about 766 times the volume of Earth.
What is the approximate volume of Earth? Show your work.
Answer: 67
Step-by-step explanation:
17 is added to a number, the result is 37 less than twice the number. Find the number
To find the number, subtract 37 from both sides of the equation and isolate 'x'. The number is 54.
Explanation:To find the number, let's represent it with the variable 'x'. The problem states that when 17 is added to the number, the result is 37 less than twice the number.
Mathematically, this can be represented as:
x + 17 = 2x - 37
To solve for 'x', we can start by subtracting 'x' from both sides of the equation:
17 = x - 37
Next, we can add 37 to both sides to isolate 'x':
54 = x
Therefore, the number is 54.
1) Does the point (0,4) make either equation true? Substitute it in and find out.
Answer:
The point (0,4) doesn't make either equation true.
Step-by-step explanation:
Consider the equations.
[tex]y=-2x[/tex] and [tex]y=x+3[/tex]
We need to determine the point (0,4) make either equation true.
Substitute x=0 and y=4 in [tex]y=-2x[/tex]
[tex]4=-2(0)[/tex]
[tex]4=0[/tex]
Which is false.
Substitute x=0 and y=4 in [tex]y=x+3[/tex]
[tex]4=(0)+3[/tex]
[tex]4=3[/tex]
Which is false.
Hence, the point (0,4) doesn't make either equation true.
given f(x)= -3/4x-6 and its domain: (-8, 0, 4) what is the range of the function?
The range of function is { 0, -6, -9}
Solution:Given that the function is:
[tex]f(x) = \frac{-3}{4}x - 6[/tex]
Also given its domain is (-8, 0, 4)
To find: Range of the function
Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)
As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the x
For x = 8:
[tex]f(-8)=\frac{-3}{4} \times(-8)-6=6-6=0[/tex]
[tex]f(-8)=0[/tex]
For x = 0:
[tex]\begin{array}{l}{f(0)=\frac{-3}{4} \times(0)-6=-6} \\\\ {f(0)=-6}\end{array}[/tex]
For x = 4:
[tex]\begin{array}{l}{f(4)=\frac{-3}{4} \times(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}[/tex]
Thus the range of function is { 0, -6, -9}
(50,3)
(60,7)
(80,14)
Use two of the points on the trend line to find the slope of the trend line
Answer: 2/5
Step-by-step explanation:
slope = change in y/change in x (y2-y1/x2-x1)
slope (using points (50,3) and (60,7)) = 7-3/60-50 = 2/5
A movie theater sends out a coupon for 85% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation is y=__________
(Use integers or decimals for any numbers in the expression).
Answer:
[tex]y=0.15x[/tex]
Step-by-step explanation:
Given:
Original price of the ticket is [tex]x[/tex]
Price after using the coupon is [tex]y[/tex]
Coupon discount is 85% of [tex]x=0.85x[/tex]
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,
[tex]y=x-0.85x=x(1-0.85)=0.15x\\\therefore y=0.15x[/tex]
The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line [tex]y=0.15x[/tex] strictly remains in the first quadrant as both [tex]x[/tex] and [tex]y[/tex] can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of [tex]x[/tex] and [tex]y[/tex] positive.
Sherry invested some money at 7% interest Sherry also invested $242 more than four times that amount at 6% how much is invested at each rate if Sherry receives $427.13 in interest after one year
$1331 is invested at 7% and $5566 is invested at 6%
Step-by-step explanation:
The formula of the simple interest is I = P r t, where
P is the money investedr is the rate of interest in decimalt is the time of investmentAssume that Sherry invested $P in the first account
∵ Sherry invested $P in the first account at 7% interest for 1 year
∵ I = P r t
∴ The interest of the 1st account = P( [tex]\frac{7}{100}[/tex] )(1)
∴ The interest of the 1st account = 0.07 P
∵ Sherry also invested $242 more than four times that amount at
6% for 1 year
- Multiply P by 4 and add 242 to the product
∴ Sherry invested in the 2nd account (4P + 242)
∵ I = P r t
∴ The interest of the 2nd account = (4P + 242)( [tex]\frac{6}{100}[/tex] )(1)
∴ The interest of the 2nd account = 0.06(4P + 242)
- Simplify it
∴ The interest of the 2nd account = 0.24 P + 14.52
∵ Sherry receives $427.13 in interest after one year
- Equate the 1st interest and the 2nd interest and equate the sum
by 427.13
∴ 0.07 P + 0.24 P + 14.52 = 427.13
∴ 0.31 P + 14.52 = 427.13
- Subtract 14.52 from both sides
∴ 0.31 P = 412.61
- Divide both sides by 0.31
∴ P = 1331
∵ She invested (4P + 242) in the 2nd account
- Substitute P by 1331
∴ She invested in the 2nd account = 4(1331) + 242 = 5566
∴ She invested $1331 at 7% interest
∴ She invested $5566 at 6% interest
$1331 is invested at 7% and $5566 is invested at 6%
Learn more:
You can learn more about interest in brainly.com/question/11149751
#LearnwithBrainly
what is
[tex] \frac{5}{7} \times \frac{8}{9} [/tex]
Select all that are x-intercepts of the tangent graph.
Answer:
The answer is pi and 3pi
Step-by-step explanation:
Answer:
pi and 3 pi
Step-by-step explanation:
the second one is: (B) x=pi/2 and (D) x=3pi/2
:)
Mr Hays Bought a 5 gal. bucket of paint costing $175
Answer:
Nice! Uhh... What am I supposed to do with this info?
A yoga studio offers memberships that cost $60 per month for unlimited classes. The studio also accepts walk-ins, charging $10 per class. If someone attends enough classes in a month, the two options cost the same total amount. How many classes is that? What is that total amount?
Final answer:
To determine the number of classes at which the total cost for both options is the same, we can set up an equation. When attending 6 classes in a month, the total cost for both options will be the same, which is $60.
Explanation:
To determine the number of classes at which the total cost for both options is the same, we can set up an equation. Let x be the number of classes attended in a month.
For the membership option, the total cost is $60 per month.
For the walk-in option, the total cost is $10 multiplied by the number of classes attended.
Setting up the equation, we have:
60 = 10x
Dividing both sides by 10, we find:
x = 6 classes
So, when attending 6 classes in a month, the total cost for both options will be the same.
Using this value of x, we can find the total amount. For the membership option, it would be $60. For the walk-in option, the total amount is $10 multiplied by 6 classes, which is $60 as well.