Horatio has taken out a $12,450 unsubsidized Stafford loan to pay for his four-year undergraduate education. The loan has an interest rate of 7.3%, compounded monthly, and a duration of ten years. Horatio will allow interest capitalization. Making monthly payments, how much interest will Horatio have paid in total by the time the loan is paid in full? Round all dollar values to the nearest cent.

Answers

Answer 1

Answer: I'll just give you an answer based on my understanding.
I'll use the formula for compounding interest.

A = P(1+r/n)^nt

A = future value of the loan including interest
P = principal of the loan
r = interest rate
n = number of times the interest is compounded per year (monthly=12)
t = number of years the money is loaned for

Given:
P = 12,450
r = 7.3%, compounded monthly
t = 10 years

A = 12,450 (1+0.073/12)^12*10
A = 12,450 (1.006)¹²⁰
A = 12,450 (2.05)
A = 25,522.50

25,522.50 - 12,450 = 13,072.50 total interest paid.

Answer 2

Answer:

The correct answer will be option A.

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PLEASE HELP Solve -3x - 5 > 22.
Which statement describes the graphA. The graph crosses the y-axis at (0,7). Increasing from x = -10 tox = -2 and decreasing from x = -2 to x = 10.B. The graph crosses the y-axis at -8,0), increasing from * = -10 tox = -2 and decreasing from x = -2 to x = 10C. The graph crosses the y-axis at (0,7), increasing from x = -10 tox = -2 and remaining constant from x = -2 to x = 10.D. The graph crosses the y-axis at (0,7), increasing from x= -10 toX = 0 and decreasing from x = 0 to x = 10

4. Write an explicit formula for the sequence 6,2, -2, -6, -10.... Then find the 12th term

Answers

Answer:

-38

Step-by-step explanation:

general formula

a + (n-1)(d)

formula for this question

6 + (n-1)(-4)

find d

2-6=-2-2

-4=-4

d=-4

a=6 d=-4

12th term

T12= 6+(12-1)(-4)

= 6 + (-44)

=-38

hope this helps :)

What is the measure of the angle? Enter the answer in the box.
degrees

Answers

Final answer:

Without further context or information, it's impossible to accurately provide the measure of the angle. In Mathematics, the measure of an angle is often determined using protractors, trigonometric ratios or geometric relationships. More specific details or context are needed for an accurate answer.

Explanation:

Without further context or provided information such as a visual reference or mathematical context, it's impossible to accurately provide the measure of the angle. Typically, in Mathematics, we determine measure of an angle using various methods such as protractor, trigonometric ratios (sine, cosine, tangent), or given geometric relationships.

For example, if it is given that the angle is part of an equilateral triangle, we know that all angles are 60 degrees because in any triangle, all the angles sum up to 180 degrees.

Please provide more specific details or context for a more accurate answer.

Learn more about angle measure here:

brainly.com/question/31186705

#SPJ12

Answer:

you have to use the protractor tool

Find a solution to the inequality x > 7.

Answers

you must isolate the x in order you must divide both of each sides of the inequality by the other variable or coefficients.

Here, x > 7 itself is a solution. It represents x must be less than the 7

Hope this helps!

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with $f^(-1)(x).$ In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of $f^(-1)$ and the range of f is the domain of $f^(-1)$ .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. $m^(-1)(x)=-(x)/(7)$ .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of $m^(-1)(x).$

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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(-2√7x^2) * (1/3√28x^3)