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Marysya12 [62]
3 years ago
13

Suppose that you have just graduated with $30,000 in student loan debt, at 9% annual interest, compounded monthly. You must make

a payment at the end of each month, and willbe finished paying off the loan at the end of 10 years.a. How much is each payment?
b. How much money, in total, will you end up paying by the time you have paid off the loan?
c. How much of what you will end up paying is interest?
d. [Just to think about, not to hand in: How painful is the answer to part c of this question?]
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

Step-by-step explanation:

Principal amount = 30,000

I = 9% is compounded monthly ⇒ 0.09/12 = 0.0075

n= 10 years ⇒ 10* 12 = 120 periods

Formula for decreasing annuity payments is R =[ I/[1 - (1+I)^(-n)]] * P

R = 0.0075/[1 -  1.0075^(-120)] * 30,000 = $380, amount of each payment

Total amount paid is = 380*12*10 = 45600

Interest paid = Total amount - loan amount = 45600 - 30000 = 15600

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Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr
amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0
2 years ago
-5x-12>6x-4 Solve the inequality and give the answer in interval notation.
lora16 [44]

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

x < -\frac{8}{11}

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1  and goes to -infinity(left)

So interval notation is (-∞, -\frac{8}{11})

7 0
2 years ago
A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t
fgiga [73]
No, Abe is incorrect.

If you don’t know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^
25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.
8 0
2 years ago
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function
hammer [34]

Answer: Its a function

Step-by-step explanation:

6 0
3 years ago
For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
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