Jayvion took out a simple interest loan to pay for some new furniture. If the loan was for 5 years at 12% and he paid $960 interest, how much money did he borrow?

Answers

Answer 1

Answer:

$544.73

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

A is final amountP is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

A = 960

r = 0.12

t = 5

Step 2: Solve for P

Substitute in variables [Simple Interest Rate Formula]:                                [tex]\displaystyle 960 = P(1 + 0.12)^5[/tex][Interest] (Parenthesis) Add:                                                                            [tex]\displaystyle 960 = P(1.12)^5[/tex][Interest] Evaluate exponents:                                                                        [tex]\displaystyle 960 = P(1.76234)[/tex][Interest] [Division Property of Equality] Isolate P:                                        [tex]\displaystyle 544.73 = P[/tex][Interest] Rewrite:                                                                                            [tex]\displaystyle P = 544.73[/tex]

Related Questions

i need the answer asap

Answers

Step-by-step explanation:

A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5

now , let AB be 4x and AC be 5x such that

AC = AB + BC

AC - AB = BC

5x - 4x = BC

x = BC

ratio of AB : BC = 4:1

by using section formula

( mx2 + nx1 / m+n , my2 + ny1 / m+n )

where m = 4 and n = 1

B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )

B = ( 8 -3 / 5. ,. -24 + 4 / 5)

B = ( 5/5. ,. -20/5 )

B = ( 1. , -4 )

1 ÷ 8, or 1/8, is 0.125

Answers

Answer:

both

Step-by-step explanation:

Answer:

true! :)

Step-by-step explanation:

A hot air balloon is at an altitude of

100 1/5 yards. The balloon's altitude decreases

by 10 4/5 yards every minute. Determine the

number of minutes it will take the balloon to reach an altitude of 57 yards.

Answers

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

What is y if x is 0?

Answers

Answer: is there a picture or something i can see to help you?

No pictures ? I don’t know

How did the Great Depression impact European nations?

Answers

It impacted the nations by America not making trades

Is 4x-10y=2 equal to 4x-3y=0?

Answers

Answer:

No it is not

Step-by-step explanation:

Solve the inequality.
-3.25y <-61.75

Answers

Step-by-step explanation:

-3.25y < -61.75

-3.25y < -61.75

-3.25. -3.25

whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.

y > 19 , S.S= [ 20,21,22,23.....]

Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)

Answers

Step-by-step explanation:

Please refer to the attachment

Find the slope.

Bonus: Write the equation of the line.

Answers

Answer:

1 so y=1+b

Step-by-step explanation:

9514 1404 393

Answer:

slope: -1equation: y = -x +3

Step-by-step explanation:

The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.

Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

__

The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...

  y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)

  y = -x +3

Lily and Matthew are walking from home to school. Matthew has to return a library book on the way and follows the sidewalk. Lily walks directly to school. Assume the path they take forms a right triangle. Use the lengths in the diagram to determine how far Lily walks. Round your answer to the nearest tenth of a mile. Show your work and explain how you determined your answer. 20 points btw

Answers

I think it’s 0.1875 ❤️

(10 − 343) − 2 × 6 simplify the operation using the order of operations

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]

[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?​

Answers

Answer:

5 hours and 13 minutes

Step-by-step explanation:

Hope this helps!! Please mark brainlliest.

5 hrs and 13 minutes

Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.

Answers

First attachment = 3
Second attachment = -7
Third attachment = 25

what’s four times a number (algebra wise)

Answers

Answer:

4x

Step-by-step explanation:

Write the expression
a2b3c2d in expanded
form.

Answers

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?

Answers

Answer:

Quadrant II and III

Step-by-step explanation:

Given

Point E

[tex]x < 0[/tex] i.e. negative x

and

[tex]y \ne 0[/tex]

Required: Determine the possible quadrant(s) of E

[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out

Solving further:

[tex]x < 0[/tex]

The two quadrants where the x coordinates is negative are II and III.

Hence, point E belongs to quadrants II or quadrants III

Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?

Answers

answer is (4,8) or (-8,4)

A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²

Answers

Answer:

The answer is C. 12 m2

Step-by-step explanation:

Hope this helps!! :) :) Please mark brainlliest.

The answer is C 12m2

In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?

Answers

Do you have answer choices?

4 (k - 6) = 6 (-4 - 5k)
a) 10
b) 0
c) -2
d) 8

Answers

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

Que es una ecuación cuadrática

Answers

Step-by-step explanation:

En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.

can you all please help me with a and b ​

Answers

Answer:

Step-by-step explanation:

a.

area of one face=3²=9 units²

b.

whole surface area=6×3²=6×9=54 units²

Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.

Which of the following outcomes could represent the tennis balls Tony selected?

(A) All of the tennis balls are blue.

(B) There is 1 tennis ball of each color.

(C) There are exactly 3 green tennis balls.

(D) There are more red tennis balls removed than other colors.

(E) The number of red tennis balls is the same as the number of blue tennis balls.

Answers

B is the right answer

Answer:

b

Step-by-step explanation:

you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.

Answers

The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You can perform 10 push-ups in 25 seconds.

Then the equation represents the relationship between time x and the number of pushups y will be

The number of push-ups will be zero for zero seconds.

Then we have

y - 0 = [10/25] (x - 0)

    y = 0.4x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

what is the solution to the equation sqrt 2x+3- sqrt x+2=2

Answers

Answer:

x= 23

Step-by-step explanation:

The correct answer on edge is 23

2/5× = ?


I don't understand how to answer this​

Answers

Answer:

10

Step-by-step explanation:

2x5 is basically 1x5= 5x2=10

Identify the diameter of circle A

AB
AS
BT
TS

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

Since we know that, diameter is always twice of radius, and also one important point that,

A diameter is the longest chord of the circle passing from the centre of the circle, hence here,

BT is the diameter of the circle,

option c.) BT

Answer:

BT

Step-by-step explanation:

This is because a line which passes through the centre of a circle and falls on the circumference is called the diameter.

A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is ​

Answers

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = [tex]2\dfrac{1}{2}=2.5[/tex] years

To find:

The principal value.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]

[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]

[tex]34476=P\left(1.04\right)^{2.5}[/tex]

[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]

Now,

[tex]P=31256.0090[/tex]

[tex]P\approx 31256[/tex]

Therefore, the value of sum or principal value is Rs.31256.

Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?​

Answers

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2

Write the equation in standard form using integers.

Answers

Answer:

it would be:

3x-4y=-8

Step-by-step explanation:

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