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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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From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10
Leto [7]

Answer:

10x^2 + 7x - 1

Step-by-step explanation:

Step 1: Build the expression in numerical form.

  • (8x^2 +10x - 10) - (-2x^2 + 3x - 9)

Step 2: Distribute the negative sign.

  • 8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)
  • 8x^2 + 10x - 10 + 2x^2 + (-3x) + 9  

Step 3: Combine like terms.

  • (8x^2 +2x^2) + (10x -3x) + (-10+9)
  • 10x^2 +7x -1

Therefore, the answer is 10x^2 + 7x -1.

4 0
2 years ago
Which linear inequality is represented by the graph?
ELEN [110]
Where is the graph?
7 0
2 years ago
A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to t
NNADVOKAT [17]

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

3π=9.42

So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

9.42×6.4=60.288

Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

3 0
3 years ago
I want to rearrange the formula of 3+x=ax to find out what x is equal to. I already know the answer via the answer sheet but I w
taurus [48]

Answer:

See below.

Step-by-step explanation:

3+x=ax    (Given)

x=ax-3    (Subtracted 3 on both sides)

x-ax=-3    (Subtracted ax on both sides)

x(1-a)=-3    (Factor out x from x - ax)

x=-\frac{3}{1-a}    (Divided 1 - a on both sides)

7 0
3 years ago
Plsssss Help!!!
Sergeeva-Olga [200]

T F T

Step-by-step explanation: JUST DID THE TEST

4 0
2 years ago
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