Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, she'll be able to add $100 to her savings account. Esme also plans to purchase a car priced at $20,000 using a no-interest loan. She will make a $300 payment on the loan every month. In how many months will Esme have enough money saved to pay off her loan completely?

Answers

Answer 1

Answer:

She will be able to pay off her loan completely in approximately 50 months

Step-by-step explanation:

The amount Esme earns as net salary = $2,400

The amount she already has in a savings account = $100

The amount she would be able to add to her savings account every month = $100

The cost of the car Esme plans to purchase on the no interest loan, A = $20,000

The amount she will make as payment on the loan every month, P = $300 per month

Let 'x' represent the number of month Esme will be able to pay off her loan completely, we have

The number of month Esme will have enough money to pay off her loan completely is given by the following equation;

20,000 = 100 + 300 × x + 100 × x = 100 + 400·x

∴ x = (20,000 - 100)/400 = 49.75

Therefore, the number of months she will be able to pay off her loan completely = 49.75 months ≈ 50 months.


Related Questions

20 Alex and Chris share sweets in the ratio Alex : Chris = 7:3.
Alex receives 20 more sweets than Chris.
Work out the number of sweets Chris receives.

Answers

Answer:

Alex:Chris 35:15

Step-by-step explanation:

7-3 (ratios)= 4

20 sweets= 4:1

20÷4= 5

5×7= 35 (how many sweets Alex got)

5×3= 15 (how many sweets Chris got)

Alex got 20 more sweets than Chris

(sorry if you didn't understand how I explained it)

Calculate the difference between the two times.
alarm clock number 1
8: 15 am. or pm
alarm clock number 2
3: 30 am or pm.
if u want to spam the answer then I will report u

Answers

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.

plsss help with this question lolz

Answers

Answer:

for output: 4, 6, 8, 10

Input: (i think) 1,5,5,1

Step-by-step explanation:

A picture that measures 7 inches
by 7 inches is being framed.
The area of the picture with
frame is 81 square inches.
What is the width of the frame?

Answers

Answer:

The width of the frame is 2 inches

Step-by-step explanation:

The given dimensions of the picture = 7 inches by 7 inches

The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²

The area of the given picture and the frame, A₂ = 81 square inches

Let 'w' represent the width of the frame and whereby the picture is a square, we have;

The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)

A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²

49 + 14·w + w² - 81 = 0

w² + 14·w - 32 = 0

(x + 16)·(x - 2) = 0

∴ x = -16 or x = 2

Given that 'x' is a natural number, we have;

The width of the frame, x = 2 inches.

Find the kinetic energy of a 0.145-kg baseball that is thrown at a speed of 40 meters per second.

Answers

Answer:

Step-by-step explanation:

You can use the general expression as:

K = 1/2mv²

With your data:

K = 1/2(0.145)(40)²=

1. The points ( − 4, − 4), ( − 4, 4), (4, 4), and (4, − 4) form a square on a coordinate plane. How long is a side length of the square

Answers

Answer:

Length of one side is 8 units

Step-by-step explanation:

Given

The centre of this square is positioned at the origin as visible form the four co-ordinates

All the four co-ordinates are such that they are 4 units along the x-axis and 4 units along the y-axis.

Let us take the following two co-ordinates - (4,4),(4,−4). The X value for these two co-ordinate points is 4 and the Y values are such that one point has y = 4 and the other has y = -4 i.e 8 units in between.  

Thus, length of one side is 8 units.  

 

What is linear equation???

Answers

Answer:

an equation between two variables that gives a straight line when plotted on a graph. In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.

Which of the following lines bets fits the data shown in the scatter plot?

Answers

Labe b dues the dots are closer to it
Definitely b, they all line right up to it

can someone please tell me what angle x is

Answers

Answer:

it's an angle X duh he he he be

In the question,
Two sides are same so their opposite angles will also be same.
So,
75+75+x =180 [ sum of angles of triangle ]
Or, 150+x = 180
Or, x= 180-150
Or, x=30

what kind of triangle is shown

Answers

Answer:

right isosceles triangle.

Answer:

right scalene

Step-by-step explanation:

right angle - if one angle is 90 degree

scalene triangle- if all sides are of different lengths

If one side of a regular pentagon is represented by 3x + 1 , what is the perimeter of the pentagon?

Answers

Answer:

5(3x+1) or 15x+5

Step-by-step explanation:

A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:

 P = 5(3x +1)

Perhaps you want it expanded. Using the distributive property, we multiply each term in parentheses by 5:

 P = 15x + 5

In what quadrant is the point (-7, -16)?

Help!!!!!

Answers

Answer:

Those points are in Quadrant 3

need help please hurry !!!!​

Answers

Answer:

answer: c

Hope that helps!

Determine the value of x in the given figure help

Answers

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

An arrow is shot so that it hits the target above. Which of the following describes the method for calculating the
probability of hitting the red region?
A area of white circle / (area of blue circle - area of yellow circle)
B. (area of blue circle - area of yellow circle) / area of white circle
C area of white circle / (area of red circle - area of yellow circle)
D. (area of red circle - area of yellow circle) / area of white circle

Answers

Answer:It is c i think

Step-by-step explanation:

Calinda is painting the design on her bedroom wall. The large circle has a diameter of 32 inches. To the nearest square inch, how much paint swill she need for the shared reign on

Answers

Answer:

804 inches

Step-by-step explanation:

Amount of paint she would need is equal to the area of the circle

Area of a circle = πr²

π = 3.14

r = 32/2 = 16

The diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x 16² = 804 in

please help im very very desperate

Answers

Answer:

Exponential

Step-by-step explanation:

If it were quadratic, y-axis would fall and rise in points, so its not quadratic.

If it were linear, it would have a pattern with a rise/over formula, and it doesn't go in a pattern, so the only answer left is: Exponential.

Answer:

Exponential

Hope this helps!

Ok so i have graphed these values and this is the graph i got which appears to be exponential:

The measurement of angle D is _____ degrees

Answers

Answer:

157

Step-by-step explanation:

The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.

Answers

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

Rotate an isosceles right triangle around a line that contains the triangle's hypotenuse

Answers

Answer:

See attachment 2 for the rotation

Step-by-step explanation:

The question has a missing figure

See attachment 1 for the missing figure of the isosceles right-triangle

Required

Rotate around the hypotenuse

From the attachment, the hypotenuse is along the blue vertical line along the y-axis.

So, when the isosceles triangle is rotated around the hypotenuse, the result of the rotation we get a composite figure that has two congruent solids.

Which is a cone of radius and height equal to half of the hypotenuse

See attachment 2 for the rotation

what's your answer????/????????/////??

Answers

Answer:

Top right

Step-by-step explanation:

The two sides are parallel to each other. :)

Anyone know how to do this

Answers

Answer:

c or a

Step-by-step explanation:

Answer:

A(-3,-1)-----A'(-1,2)

B(2,1)------B'(4,4)

here

x is increased by -1--3=2

and

y is increased by2--1= 3

so

A.(x',y')=(x+2,y+3)

Find the coefficient of x^4 in 3x^3-5x^4 + x-7

Answers

Answer:

-5

Step-by-step explanation:

the coefficient of x^4 is -5

Find the perimeter of the composite shape. Round to the nearest hundredth.

Answers

Answer:

36 is ur perimeter

Step-by-step explanation:

Answer: 47.31

Step-by-step explanation: I just took the unit test

en las matematicas para que concepto se usan las letras?

Answers

Answer:

En matemáticas, las letras son utilizadas en las ecuaciones, para representar a través de ellas valores no conocidos que deben ser dilucidados por quien realiza la ecuación. Las letras más utilizadas con este propósito son las letras X e Y.

Así, por ejemplo, se da una suma con un valor numérico y un valor faltante denominado X, con un resultado también numérico, con lo cual el valor de X surgirá del resultado de la ecuación planteada. Por ejemplo:

8 + X = 10

X = 10 - 8

X = 2

8 + 2 = 10

Find the unit rate in the following scenarios, and explain how you solved.
1. In 6 days, the temperature dropped 18 degrees. How many degrees per day did the temperature drop?

no links<3

Answers

Answer:

3 degress per day

Step-by-step explanation:

18/6=3 sorry for the bad spelling

A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p

Answers

2 Answers:   p = 0.2 and p = 0.8

==================================================

Explanation:

Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.

We're given n = 12, and we need to find p.

The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92

So the equation to solve is 12p*(1-p) = 1.92

Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8

Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
plz help

Answers

Answer:

133 windows in 7 hours

Step-by-step explanation:

38 divided by 2 and you get 19

19 x 7 = 133

Answer:

133 windows

Step-by-step explanation:

First, you would want to find how many windows he can clean in 1 hour.

You know that 38 windows = 2 hours.

To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.

Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.

Find the slope of a line parallel to this given line: -10y + 3= -6x

Answers

Answer:

Y=3/5 x +3/10

Step-by-step explanation:

5.5555 pounded to the nearest
hundredth
IS​

Answers

Answer:

5.55000

Step-by-step explanation:

i think

Answer:

5.56

Number:  

5.555

Nearest:  

Hundredths (2 decimals)

Mode: Round

=5.56

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