Lucy Garcia took out a loan for $40,000 at 10 percent interest for 10 years. Her monthly payments are $528. 60. She made payments for one year and has paid the principal down to $37,546. 36. She now wants to repay the loan early. The loan specifies a $300 prepayment penalty if she pays the loan now. How much will she save by paying the loan early (round final answer to nearest dollar)?

Answers

Answer 1

The amount saved due to early payment is $19,242

Data;

Monthly payment = 528.60Number of payment = 10 years * 12 = 120 Total payment if not prepaid = 528.60 * 120 = $63,432

Total Payment for the whole term

The total payment for the whole term is the equal to the product of monthly payment and the number of payment as calculated above.

The total amount in cash in case of prepayment is

[tex]total amount in case of prepayment = monthly payment * number completed + balance + penalty[/tex]

The number of payment completed = 12

Balance = $37,546.36

Penalty for prepayment = 300

The amount of prepayment is

[tex]528.60 * 12 + 37546.36 + 300 = 44,189.56[/tex]

The amount saved due to early payment is

[tex]63432 - 44189.56 = 19,242[/tex]

The amount saved due to early payment is $19,242

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Related Questions

190x+700=1,460. Solving this equation, we get x

Answers

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

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A veterinary office pays PupFood $32. 75 for each bag of dog food. If the office spent $655, how many bags of food did they purchase? (Use only a number for your answer)

Answers

Answer:

20 Bags

Step-by-step explanation

The total costs would be given by the formula:

Total $ = (Bags of Food)*(Cost/bag)

We know total cost and price per bag:

$655 = (Bags of Food)*($32.75/bag)

Bags of Food = ($655/$32.75)

Bags of Food = 20 Bags

Luis trabaja en Canadá por cada 15 dólares que gana envía 8 a su

Familia que vive en Zacatecas. La semana pasada ganó 300 dólares¿Cuanto

Dinero enviará a su familia?

Answers

Usando proporciones, hay que Luis enviará 160 dólares a su familia.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, la regla de tres es dada por:

15 dólares - 8 envíados

300 dólares - n envíados

Aplicando multiplicación cruzada:

15n = 300 x 8

n = (300 x 8)/15

n = 160

Luis enviará 160 dólares a su familia.

Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852

A correlation coefficient is a numerical index that reflects the relationship between ______ . a. three variables b. one variable c. one variable and two variables d. two variables

Answers

A correlation coefficient is a numerical index that reflects the relationship between two variables.

What is the correlation coefficient?

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, an independent variable.

The given blank in the sentence can be filled with two variables.

Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.

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LOOK AT IMAGE FOR MORE INFO

I NEED THIS ASAP! I WILL GIVE BRAINLEST, 5 STARS, AND LOTS OF POINTS IF U ANSWER CORRECTLY THANKS.

Answers

Answer:

This is an obtuse scaline triangle.

Step-by-step explanation:

Hope I Helped!!

PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.

Q.1. One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?

Answers

Answer:

answer is 75

Step-by-step explanation:

you need to add all of them then take away 12 then you get your answer.

–(9y – 1) answer to problem

Answers

Given ques:-

–(9y – 1) solve?

Answer:-

-(9y-1) here ( - ) minus is distributed to 9y nd -1

which gives,

-9y+1

Hope it help ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Please can you help me with this and the answer is not 6.4

Answers

Answer: Find details in the picture. The answer is 4.9

Step-by-step explanation:

Choose the logarithmic form of the exponential equation 3^7 = (4x+3).​

Answers

Answer:

546

Step-by-step explanation:

4x3^7=2187

so now its

2187=4x+3

subtract 3 from both sides

now its

2184=4x

divide both sides by 4

546=x

The crew is taking 180 ounces of oranges and 220 ounces of apples. How many pounds of fruit are they taking in all?

Answers

$25, divide each amount by 16, then add together

help me now !!!

-11=t-5
help me

Answers

Answer:

[tex]\huge\boxed{\bf\:-6 = t}[/tex]

Step-by-step explanation:

[tex]-11 = t - 5[/tex]

Bring - 5 to the right hand side of the equation.

[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Hii student!

-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -- -- -- -- - -- - -- -- -- --

[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]

 The value of t = -6

-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -

[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]

We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.

                                           

To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.

T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.

So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?

We can make that happen by adding 5 to both sides.

We add 5.

[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]

[tex]\bullet[/tex] However, we also need to add 5 to the other side.

[tex]\sf -11+5=t}[/tex]

Simplify!

[tex]\sf -6=t}[/tex]

NOW the variable, t, is all by itself.

                                     

Tip: Why not check your work and make sure there are no mistakes?

We can proof-read, but we can also do this:

Plug in the solution (t=-6) into the original equation.

[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain

[tex]\sf -11=-11[/tex]

Since both sides (the left hand side, l.h.s. and  the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!

--

Hope that this helped! Best wishes,

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

--

4 divided by 1/3 is 12 becuase

Answers

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

So:

4×3=12

That's why the answer is 12.

There are 5 red, 18 green, and 17 blue pens in a bag. Leah selects a pen 800 1

times without looking. Before each selection, she replaces the pen in the

bag. Write and evaluate an expression to predict the number of times Leah

selects a pen that is red or green. *

Answers

The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800

How to determine the expected selection of red or green pen?

The distribution of the pen is given as:

Red = 5

Green = 18

Blue = 17

The number of red or green pen is:

Red or green = 5 + 18

Evaluate

Red or green = 23

In a selection of 800 pen, the expected number of red or green pen is:

E(x) = 23/(5 + 18 + 17) * 800

Evaluate the sum

E(x) = 23/40 * 800

Evaluate the expression

E(x) = 460

Hence, the number of times Leah is expected to select a pen that is red or green is 460

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plese huryyyyyyyyyyyy!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Formulas to keep in mind

Volume (cone) = 1/3πr²hVolume (sphere) = 4/3πr³

Solving

It's given in the question that the volumes are equal and height of the cone is 96 unitsEquate the volumes and substitute the value of h

⇒ 1/3πr₁²h = 4/3πr₂³

⇒ r₁² x 96 = 4 x r₂³

⇒ r₂³ / r₁² = 24

⇒ r₂ (Radius of sphere) = 2.88 units

⇒ r₁ (Radius of cone) = 1 unit

Give the equation for the piece wise function. WILL GIVE BRAINLIEST IF GIVEN A ANSWER

Answers

Answer:

This is not a function

Step-by-step explanation:

take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.

3) Jane organized this stem and leaf plot to display recent temperatures. How many days of temperatures are displayed? A) 8 B) 9 C) 10 D) 12

Answers

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

How to determine the number of days displayed?

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

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In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
54.4 inches
12.6 inches
9.1 inches
6.4 inches

Answers

Answer:

option 2 12.6 inches

Step-by-step explanation:

the answer is 12.6 inches

Answer:

2 12.6 inches

Step-by-step explanation:

have a great day!

pleaseeeeeee helppppppp meeeeeeeeeeeeeeeee​

Answers

Answer:

60%

Step-by-step explanation:

lets assume that the weight of K's bag is 100 just to make it easier.

K's bag=100

M's bag=120

D's bag=75

to find the percentage of M's bag over D's we divide D's over M's

75/120= 62.5%

Then round down to the nearest tens

62.5=60

Please help asap tysmm



Use an equation to find the value of each indicated variable.
show your work and show how you found your answer.

Answers

Answer:

[tex]y = 36 \\ z = 54[/tex]

Step-by-step explanation:

[tex]3y + 2y = 180 \\ 5y = 180 \\ y = 36[/tex]

[tex]y + z + 90 = 180 \\ y + z = 90 \\ 36 + z = 90 \\ z = 90 - 36 \\ z = 54[/tex]

WILL GIVE BRAINLIEST, THANKS AND 5 STARS!
PLEASE HELP ME!
QUESTION IN SCREENSHOT
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Answers

Answer:

4 and -1

Step-by-step explanation:

Roots are the X values of the quadratic equation, or where it crosses the x axis

Answer:

a, f

Step-by-step explanation:

Please answer asap and show all work giving points for it ! :)

Answers

Answer:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 6% per year compounded 1 times per year over 10 years is $4,477.12.

(1) Angle 1 and angle ____ are supplementary angles.
(2) Angle 8 and angle ____ are corresponding angles.
(3) Angle 6 and angle ____ are vertical angles.

Answers

Answer:

Step-by-step explanation:

8) angle 2 (or angle 3)

9) angle 4

10) angle 5

Answer:

(1) Angle 1 and angle __2__ are supplementary angles.

(2) Angle 8 and angle __4__ are corresponding angles.

(3) Angle 6 and angle __7__ are vertical angles.

Mark me brainliest please

Which polynomial expression represents a sum of cubes? (6 – s)(s2 6s 36) (6 s)(s2 – 6s – 36) (6 s)(s2 – 6s 36) (6 s)(s2 6s 36)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the cubes of a polynomial expression can be written as,

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

Therefore, we need to find the polynomial expression which looks similar to the above expression,

[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]

Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].

Learn more about Expression:

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Answer:

(6 + s)(s2 – 6s + 36)

Step-by-step explanation:

2022

PLEASE HELP URGENT

Given \tan \theta =0.6, find the value of b

Answers

[tex] \tan(theta ) = \frac{5.3}{b} \\ [/tex]

[tex]0.6 = \frac{5.3}{b} \\ [/tex]

[tex]b = \frac{5.3}{0.6} \\ [/tex]

[tex]b = 8.83 \: \: cm[/tex]

how do i do dis i need help i get it i just cant get the right answer i need super nanny

Answers

Answer:

The answer of point 4 is:

[tex]distance = \sqrt{ {4}^{2} + {11}^{2} } \ = (11.70469991072)[/tex]

kim and darren left campus traveling in opposite directions. if kim drove 35mph and darren drove 30mph, how far were they after 1 1/2 hours?

Answers

Answer:

Kim 52.5 miles, Darren 45 miles

Step-by-step explanation:

Kim drove 35 mph:

    35 mph x 1.5 hours = 52.5 miles

Darren drove 30 mph:

    30 mph x 1.5 hours = 45 miles

Select the expression that has a value of 23.
Question 5 options:

6 + (9 x 3) ÷ 3 + 8

(6 + 9) + 3 ÷ 3 + 8

6 + 9 x 3 ÷ (3 + 8)

(6 x 9 x 3) ÷ 3 + 8

Answers

Follow PEMDAS

You do stuff in order of parenthesis first, then exponents, then multiply or divide (reading left to right order), then add or subtract (left to right order)

So first answer is correct.

First do 9*3 =27 (parenthesis)
Second do 27/3= 9 (divide)
Third do 6+9+8 = 23 (addition)

Determine if you can make a triangle from the 3 given side lengths.
3 cm, 16 cm, and 8 cm

Answers

Check the picture below.

we have three sides, let's look at the two smaller sides first.

check picture atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check picture below

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.

What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"

Answers

Answer:

F. 12

Step-by-step explanation:

There are two right triangles.

Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.

Let's take the left one.

a² = (8√3)² - (4√3)²a² = 192 - 48a = √144 a = 12

The length of the altitude is 12.

The correct option is : F. 12

The length of an altitude is 12 units.

The correct option is 12.

What is Pythagoras' theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

As per the information provided, it is given that the triangle is an equilateral triangle.

The side of the triangle is 8√3 units.

To find the length of the altitude of the equilateral triangle:

Let the length of altitude is h units.

Then, as per Pythagoras' theorem,

h² =  (8√3)²- (4√3)²

h² = -16(3) + 64(3)

h = -48 + 192

h² = 144

h = 12

Therefore, h = 12 units.

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Find the equation of the line.
Use exact numbers.
y=y=y, equals
x+x+x, plus

Answers

Answer:

y=x-5

Step-by-step explanation:

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