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ASHA 777 [7]
3 years ago
7

For a loan of $100,000 at a rate of 6% for fifteen years, the payment is about $843 a month. For the same loan amount, at an int

erest rate of 7.5%, you must increase the life of the loan to keep the same payment. The term must extend over 18 years instead of 15 years. With these thoughts in mind, how would paying off a loan early affect the amount of interest paid for the loan?
Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

Condition 1:

Loan amount is = $100000

Rate of interest = 6%

Time period is = 15 years

Monthly payment amount = $843

Condition 2:

Loan amount = $100000

Rate of interest = 7.5%

Time period is = 18 years

Monthly payment =  Lets suppose this is the same $843.

Lets suppose no reducing method is applied on both conditions.

So in 15 years the amount to be paid will be = 180*843 = $151740

In 18 years the amount becomes = 216*843 = $182088

So the interest amount paid in the second condition is higher than the amount paid in first condition.

Hence, paying off a loan early will result in paying less interest amount paid for the loan.


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posledela
11 2/3, I think. 2*3 + 1 = 7 & 7/3*5/1 (where you do straight multiplication) you get 35/3 which simplifies to 11 2/3. Hope this helped, but um what is the weight measurement or is that not mentioned?
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3 years ago
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One week Michael worked 40 hours and sold 2,870 worth of shoes if his employer paid him 12.50 per hour and 6% commission of all
liq [111]

Answer:

Money which Michael make in commission = 158.7

Step-by-step explanation:

Given that,

number of hours Michael worked in a week = 40 hours

total sale of the week = 2870

commission which Micheal will get on sale = 6% above 225sale

To find,

total money Michael make in commission in the week

Commission = (2870 - 225)*6%

Commission = (2870 - 225)*6/100

Commission = 2645 *6/100

Commission = 158.7

Total money Micheal make in a week = (40*12.50) + (158.7)

                                                                 = 658.7

5 0
3 years ago
in a circle a 60 sector has an area of 25 pi square feet. what is the circumference? leave your answer in terms of pi and in sim
belka [17]
The area of the sector is given by the equation,
                           A = πr²(x / 360°)
where x is the number of degrees in the figure. 
                           25π ft² = (πr²)(60/360)
The value of  r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector. 
                           C = 2πr(x/360)
Substituting,
                              C = 2π(12.45)(60/360)
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7 0
3 years ago
MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

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Answer:

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