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ser-zykov [4K]
3 years ago
11

Which expression is equivalent to 5(4x + 3) − 2x?

Mathematics
1 answer:
Kay [80]3 years ago
7 0

Step-by-step explanation:

It's 18x + 15

I hope it help

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Daniel ran 38 laps on the track. Each lap is 1/4 mile long. How many miles did Daniel run?
Harman [31]

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Step-by-step explanation:

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What is the perimeter of the triangle?
Alex

Answer:

p=a+b+c

sode+base+side

6 0
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Write the point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 include all of you
ycow [4]

<u>Answer: </u>

The point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 is 3x + y – 19 = 0

<u>Solution: </u>

The point slope form of the line that passes through the points \left(x_{1} y_{1}\right) and parallel to the line with slope “m” is given as  

y - y_{1} = m\left(x - x_{1}\right) --- eqn 1

Where “m” is the slope of the line. x_{1} \text { and } y_{1}are the points that passes through the line.

From question, given that slope “m” = -3

Given that the line passes through the points (6,1).Hence we get x_{1} = 6 ; y_{1} = 1

By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -3 can be found out.

y – 1 = -3(x – 6)

y – 1 = -3x +18

On rearranging the terms, we get

3x + y -1 – 18 = 0

3x + y – 19 = 0

Hence the point slope form of given line is 3x + y – 19 = 0

8 0
3 years ago
Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate
sertanlavr [38]

The monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be better option.

Given that for $200,000 loan Option 1 is a 30-year loan at an APR of 10% Option 2 is a 15-year loan at an APR of 9.5%.

A concept that implies that the future value of money will be lower than its present value due to several factors such as inflation is known as TVM(time of value money).

Monthly Payments

Option 1

Loan Amount = $200,000

Number of payments = 30×12 = 360

Monthly interest rate = 10%/12 = 0.008333333

Monthly payment = Loan amount (1+ monthly interest rate)ⁿ×monthly interest rate/[(1+monthly interest rate)ⁿ- 1]

Monthly payment=200,000×(1+0.008333333)³⁶⁰×(0.008333333)/[(1+0.008333333)³⁶⁰-1]

Monthly payment=33062.328/18.83739

Monthly payment=$1755.144

Option 2

Loan Amount = $200,000

Number of payments = 15 x 12=180

Monthly interest rate = 9.5%/12=0.00792

Monthly payment = 200,000(1+0.00792)¹⁸⁰(0.00792)/[(1+0.00792)¹⁸⁰-1]

Monthly payment=6553.096/3.137

Monthly payment=$2088.97

Total Payments

Option 1

As we've found out the monthly payments, we now need to multiply it by the number of months.

$1755.144×360 = $631851.84

Option 2

$2088.97×180 = $376014.6

Conclusion

Option 2 will always be the better option economically as it saves $255837.24 ($631851.84 - $376014.6) in total payments.

Hence, For $200,000 loan Option 1 a 30-year loan at an APR of 10% Option 2 a 15-year loan at an APR of 9.5% is the monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be the better option.

Learn more about monthly cost from here brainly.com/question/1476828.

#SPJ1

5 0
2 years ago
What is f(x) - g(x)?
Gala2k [10]
f(x)=9x^3+2x^2-5x+4\\\\g(x)=5x^3-7x+4\\\\f(x)-g(x)=(9x^3+2x^2-5x+4)-(5x^3-7x+4)\\\\=9x^3+2x^2-5x+4-5x^3+7x-4=9x^3-5x^3+2x^2-5x+7x+4-4\\\\=\boxed{4x^3+2x^2+2x}
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3 years ago
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