Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18

Answers

Answer 1

The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.

What is monthly compounding?

Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.

Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.

Thus;

[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]

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Related Questions

A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 161 mocha
and 299 chocolate. What percent of the cupcakes sold that day were mocha?

Answers

Answer:

35%

Step-by-step explanation:

35% percent of the cupcakes were mocha

161 +299 =460
161 divided by 460 is 0.35
Which is 35% we’re mocha cupcakes

PLEASE HELP
Classify the solid.
Your answer

Answers

Answer:

Square pyramid

Step-by-step explanation:

Hope this helps

How much more interest would be earned on a 100,0000 CD for 9 months than for 6 monthd

Answers

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

How is the additional interest determined?

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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Question Completion:

APY = 4%

Is the vertex of -x^2q-2x+10=0 parabola a maximum value or minimum value?

Answers

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Determine whether the parabola is maximum value or minimum value?

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

x = -( -2/2(-1) )

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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A dice is rolled. What is the probability of rolling a 6 or less than 4?

Answers

Answer:

Rolling a 6 would be 1 in 6

And rolling a four or less would be 4 in 6

Step-by-step explanation:

S= {1,2,3,4,5,6}

|S|=6

E=rolling a 6 orless than 4

➜{1,2,3,6}

|E|=4

P(E)=|E| /|S|

➜4/6

➜2/3

Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.
19.
4-
2
4
x
Which of the equations given below describes the transformation of f?
OA. g(x) = f(x) - 4
OB.
g(x) = 4f(x)
O c.
g(x) = f(x) + 4
OD.
g(x) = -4f(x)
E

Answers

The transformation of f (x) exists g (x) = f (x) - 4.

What is meant by exponential functions?

A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. By solving at a certain input value, a function is assessed. When the beginning value and growth rate are known, an exponential model can be discovered.

We observed that:

f (0) = 2

For the function g (x) we have:

g (0) = -2

Therefore,

g (x) = f (x) - 4

Looking for intersection with axis and we have:

g (0) = f (0) - 4

g (0) = 2 - 4

g (0) = -2 (correct demonstration)

The transformation of f (x) is: A. g (x) = f (x) - 4

Therefore, the correct answer is option A. g (x) = f (x) - 4.

The complete question is;

Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.

Which of the rules given below shows the transformation of f?

A. g(x) = f(x) - 4

B. g(x) = f(x - 4)

C. g(x) = f(x) + 4

D. g(x) = f(x + 4)

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HELP ME PLEASE RIGHT NOW ASAP

Answers

The representation of the set builder notations are:

{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}:  Set of values greater than -2{t | t ∈ Q}: Set of all rational numbers

How to determine what the set builder notations represent

From the question, we have the following parameters that can be used in our computation:

The set builder notations

Solving: set builder notation 1

This is given as

{y | 22.3 < y ≤ 77.5}

The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5

Solving: set builder notation 2

This is given as

{w | w ∈ Z}

The notation Z means integers

This means that the set w is the set of all integers

Solving: set builder notation 3

This is given as

{x | x > -1}

The greater than (>) operator means that the smallest value of y is greater than -1

Solving: set builder notation 4

This is given as

{t | t ∈ Q}

The notation Q means rational numbers

This means that the set t is the set of all rational numbers

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Solve the problem.
2) A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's
performance they have sold a total of 914 tickets. Also, they have sold 80 more adult tickets than
children's tickets. How many children's tickets have they sold?
A) 421
B) 419
C) 413
D) 417

Answers

Answer:

417

Step-by-step explanation:

bc i said so

A factory makes 1200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. enter the fewest number of workdays the factory will need to make 12,600

Answers

Answer: 7

Step-by-step explanation:

9/6 = 1.5

1200 x 1.5 = 1800 (t-shirts a work day)

12 600/1800 = 7

7 work days

PLEASE HELP NOW!!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

0.48 is the correct answer

Find f(2) for the following quadratic.
• Write your answer as a number only.

Answers

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

How do you find f 2 on a parabola?

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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plz anserw these questions. i will give brainelst

Answers

Answer:

Hello, their has been a update to brainly. we no longer accept images, **** off

Step-by-step explanation:

Solve the following quadratic equation for all values of x in simplest form.

4(x 2−5)−1=3

Answers

The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6

How to determine the solutions to the equation?

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Help ASAP!!! Which of the following terms correctly describes the object below?

Answers

Answer:

The letters:

A.

B.

E.

Step-by-step explanation:

why?

A = it is a polygon

B = it's a solid figure

E = it's a prism (pentagonal prism)

HOPE IT HELPS

(FROM CROSS)

Only answer if you’re sure :) need full equation. Will give Brainly!

Answers

Answer:

Step-by-step explanation:

Only one answer will do for this question and that is 1.

y/x = 5/5  =   1

y/x = 6/6  =  1

y/x = 1/1 = 1

The one you have to be careful with is when x = 0 y = 0. You can't solve this by using y/x  because 0/0 is undefined at this point.

will mark brainlist!! please help ​

Answers

Answer:

(2 2) is answer of this question

Answer:

(2,2) is the solution to both lines A and B

Step-by-step explanation:

this is because they both intersect at point (2,2)


Question 7: I Can Identify the Slope and Y-intercept in an Equation.

Answers

Answer:

a) m = 3   b = 1/5

b) y = 1/2x - 3

Step-by-step explanation:

y=mx+b

This a final question can anyone help ASAP

Answers

Answer:

4.6

Step-by-step explanation:

What number is equivalent to

32 + 6 – (14 – 5 × 2) ÷ 4

A
234

B
1012

C
14

D
15

Answers

That answer would be A hope it right

Answer:

C you all welcome:)

Step-by-step explanation:

A was wrong sorry to tell you

Find the measure of m∠A (inside the triangle).

Find the measure of m∠B.

Find the measure of m∠C.

Answers

Answer:

85 degrees

Step-by-step explanation:

180=x+4x-20

180=5x-20

200=5x

x=40

C=2(40)+5

C=80+5

C=85

Just need the answer to this question. No explanation needed

Answers

The distance of the ship from lighthouse found using sine law at both locations are 14.12 miles and 4.8 miles.

What is sine law?

The sine law asserts that the ratio of a triangle's side length to the sine of its opposing angle, which is constant for all three sides.

From the given figure we can find θ = 30 - 10 = 20°

According to sine law, we can write the following equation,

[tex]\frac{9.6}{sin \theta} = \frac{x}{sin \angle ABL} = \frac{y}{sin \angle LAB} \\[/tex]

From the figure, we get that ∠LAB= 10° (alternate angles)

∠LBC = 30°

∠ABL = 180 - 30 = 150°

θ = 20°

Substituting above values in the equation we get ,

[tex]\frac{9.6}{sin 20} = \frac{x}{sin 150} = \frac{y}{sin 10} \\\\\frac{9.6}{0.34} = \frac{x}{0.5} = \frac{y}{0.17}[/tex]

Solving the above we get,

x = 14.12

y = 4.8

Therefore the ship began 14.12 miles from the lighthouse and after travelling 9.6 miles south it is at 4.8 miles from the lighthouse.

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Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240

(You must define you variables and show your equations)

Answers

Tony purchased 12 books and 6 magazines for a total of $240.

What is equation?

An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.

He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.

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Malika owns a small business selling bagels. She knows that in the last week 63
customers paid cash, 22 customers used a debit card, and 13 customers used a credit
card
Based on these results, express the probability that the next customer will pay with
cash as a fraction in simplest form.

Answers

The correct answer is 9/14

Surface area & volume. HELP please I don’t know how to do this I need the steps if possible :(

Answers

Answer:

Surface Area is 78 un.

Volume is 40 un³.

Step-by-step explanation:

A = 2(wl + hl + hw)

2 · (4 · 5 + 2 · 5 + 2 · 4)

2 · 38

76

V = whl

4 · 2 · 5

40 un³

if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}

Answers

1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.

2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.

3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.

4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.

5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.

6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.

What is a function?

It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.

On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.

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What is the value of x in the equation below?

1/3(12x-24) = 16

2
6
8
10

Answers

9514 1404 393

Answer:

  (b)  6

Step-by-step explanation:

Eliminating parentheses gives ...

  4x -8 = 16

Dividing by 4, we have ...

  x -2 = 4

  x = 6 . . . . . . add 2

Jason found the measure of angle A

Answers

Jason and Allison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of 22° 8’ 6”. At the same time, Allison is standing 48 feet closer to the tree, measuring an angle of elevation of 30° 40’ 30” to the owl. If Jason and Allison are the same height, their eyes 5 feet from the ground, find the height of owl in the tree.

15) Find x if m m/MTU = 38°, and m/STU = 2x + 88.

x + 50 = 2x + 88

Answers

Therefore , the solution of the given problem of equation comes out to be  x = 38.

What is equation?

Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.

Here,

Given : m m/MTU = 38°, and m/STU = 2x + 88.

thus,

x + 50 = 2x + 88

To find the value of x:

We do,

=> x + 50 = 2x +88

=> x -2x  = 88 -50

=> -x = -38

=> x = 38

Therefore , the solution of the given problem of equation comes out to be x = 38.

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WILL MARK BRAINLIEST!

Given: parallelogram ABCD, calculate the length of AD

Answers

Answer:

15

Step-by-step explanation:

Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5,  20-5=15 so the answer is 15

Would be amazing if you marked this brainliest :)



HELP PLSSS ILL GIVE BRAINLEST NOO FILES OR LINKS WILL REPORT

The graph of y = ax? + c, where a and c are
constants, is shown. What is the value of a ?

Answers

Answer:

A = 1/4

Step-by-step explanation:

Answer:

A = 1/4 is the correct answer

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