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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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We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?
g100num [7]

Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

150 divided by 10

5 0
3 years ago
Can someone please help me with this question?
Vanyuwa [196]

Answer:

5 seconds

Step-by-step explanation:

In 5 seconds it will be at 98 meters

x = -b/2a

x = -20/2(-2) = -20/-4 = 5

8 0
3 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
3 years ago
What’s the equation.?
Stella [2.4K]

Answer:

See below

Step-by-step explanation:

You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:

1/4(x * 1/3) = $28.90.

If you need to solve it:

1/4 * 1/3x = 28.90

1/12x = 28.90

x = 346.80

8 0
3 years ago
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