Simon took out a zero-interest loan for $3,300 to buy a boat. He must pay $300 per month to pay off the total balance of the boat's purchase price. Simon also has $1,000 in his savings account. He plans to deposit $600 every month in this account. So, Simon would like a system of equations that tells him at what point he will be able to pay off the total balance for the boat with the help of his savings. Write the second equation in the system. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.

Answers

Answer 1

Answer:

After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.

Step-by-step explanation:

ending loan's principal balance = beginning loan's principal balance - number of months x $300

or we can simplify it:           l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x

l₁ = ending loan's principal balance

x = number of months

ending savings account balance = beginning savings account balance + number of months x $600

or we can simplify it:         s₁ = s₀ + 600x ⇒  s₁ = 1,000 + 600x

s₁ = ending savings account balance

x = number of months

account balances for months

                                    month 1        month 2         month 3         month 4

boat loan                     $3.000         $2,700          $2,400           $2,100

savings account          $1,600         $2,200          $2,800           $3,400

Answer 2

Answer:

y equals 300x plus 3300

Step-by-step explanation:


Related Questions

For a point to be a solution to a

system of inequalities, the point

must make_ of the

inequalities true.

Answers

Answer:

The signs.

Step-by-step explanation:

For a point to be a solution to a system of inequalities, the points must make the signs of the inequalities true.

For example, the points must give results like 2<3 or 0>-2, these are true solutions. If the points gives 1>2, then that point is not a solution.

Angle relationships with parallel lines can someone help me please

Answers

Answer:

x = 132

Step-by-step explanation:

The angles are supplementary so the add to 180 degrees

x+48 = 180

Subtract 48 from each side

x+48-48 = 180-48

x =132

answer these 6 questions
SOLVE these
1.(13x-15=12x+16)
2.(9x-19=2x-5)
3.(16x-35=7x-8)
4.(6x-5=13-3x)
5.(4x-9=6-x)
6.(5x-2=10-x)

Answers

Answer:

[tex]1)13x - 15 = 12x + 16 \\ 13x - 12x = 15 + 16 \\ x = 31[/tex]

[tex]2)9x - 19 = 2x - 5 \\ 9x - 2x = 19 - 5 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]

[tex]3)16x - 35 = 7x - 8 \\ 16x - 7x = 35 - 8 \\ 9x = 27 \\ \frac{9x}{9} = \frac{27}{9} \\ x = 3[/tex]

[tex]4)6x - 5 = 13 - 3x \\ 6x + 3x = 5 + 13 \\ 9x = 18 \\ \frac{9x}{9} = \frac{18}{9} \\ x = 2[/tex]

[tex]5)4x - 9 = 6 - x \\ 4x + x = 9 + 6 \\ 5x = 15 \\ \frac{5x}{5} = \frac{15}{5} \\ x = 3[/tex]

[tex]6)5x - 2 = 10 - x \\ 5x + x = 2 + 10 \\ 6x = 12 \\ \frac{6x}{6} = \frac{12}{6} \\ x = 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answers:

31

2

3

2

3

2

Look at the attached picture

Hope it will help you

Good luck on your assignment

2/3 of a number is ten what’s the number

Answers

Answer:

15

Step-by-step explanation:

I need help with these questions! I need to finish them quick. Please and thank you!

Answers

Answer:

33ft^2

Step-by-step explanation:

PLEASE HELP! The frequency of a radio wave varies inversely as its wavelength. If a 1,250-meter wave has a frequency of 240 kilohertz, what is the wavelength of a wave that has a frequency of 500 kilohertz? Round your answer to the nearest meter.

Answers

Answer:

600 m

Step-by-step explanation:

I attend LUOA as well.

Answer:

600m

Step-by-step explanation:

I, too, attended LUOA.

hope this helps:)

What is the mean of the data set?
17, 24, 26, 13
04
O 13
20
O 80​

Answers

Answer:

so here is the answer. Hope it helps.

What is the value of x and the length of segment DE?


1. 5/9= 9/(2x+3)


2. 10x + 15 = 9(9)


x=?

length of de=?

Answers

Answer:

[tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Multiply both sides by [tex]9(2x+3)[/tex]

[tex]\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)[/tex]

[tex]5(2x + 3) = 9(9)[/tex]

[tex]10x + 15 = 81[/tex]

Subtract 15 from both sides

[tex]10x + 15 - 15 = 81 - 15[/tex]

[tex]10x = 66[/tex]

Divide both sides by 10

[tex]\frac{10x}{10} = \frac{66}{10}[/tex]

[tex]x = \frac{66}{10}[/tex]

[tex]x = 6.6[/tex]

From the attached;

[tex]DE = 2x + 3[/tex]

Substitute 6.6 for x

[tex]DE = 2(6.6) + 3[/tex]

[tex]DE = 13.2 + 3[/tex]

[tex]DE = 16.2[/tex]

Hence [tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Answer: 6.6 for the first x

Length of DE is 16.2

Also these are correct!

Step-by-step explanation:

I just put it in

Put the following equation in slope-intercept form: -3y=12+3x​

Answers

Answer: y= -x - 4

Step-by-step explanation:

PLease HELP!!!
THANK YOU :)
Which of the following inequalities contains (0, 0) in its shaded region?
3x + y < −5
x ≥ −y + 3
y − 7x > −4
3y > 2x

Answers

Answer:

y-7x>4

Step-by-step explanation:

Substitute the point (0, 0) for all of the equation and see which one will be true. The only reason why the 3rd equation is true is because (0) - 7(0) equals to 0 and 0 is greater than -4.

Answer:

C

Step-by-step explanation:

Edge 2021

What is 7+(-7)=? Help me plis

Answers

Hey!!

Here's your answer

7+(-7)

=7-7

=0

so the answer is 0

hope it helps...

Answer:

7+(-7) would be 0 because with one negative and one positive, they cross each other out.

Step-by-step explanation:

hope this helps. :))

At the start of 2014 Mikes car was worth £12000. the value of his car decreased 30% every year.
work out the value of the car at the start of 2017

Answers

Answer:

The worth of car at the start of 2014 = $12000

The value of the car decreased 30% every year.

At start of 2015:

30% of 12000 = \frac{30}{100} \times 12000

100

30

×12000 = 3600

So, the value of the car at start of 2015 = 12000-3600 = $8400.

At start of 2016:

30% of 8400 = \frac{30}{100} \times

8400

100

30

×8400 = 2520

So, the value of the car at start of 2016 = 8400-2520 = $5880.

At start of 2017:

30% of 5880 = \frac{30}{100} \times

5880
100

30

×5880 = 1764

the value of the car at start of 2017 = 5880-1764 = $4116.

So, the value of his car at the start of 2017 is $4116.

Help please!!!! 50 points!!!!


Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000

Answers

Answer:

a

Step-by-step explanation:

i went onto a mortgage calculator and thats what i got, idk how to explain through

Solve -16x = -80.

1.)-5
2.)5
3.)-96
4.)-64

Answers

Answer:

5

Step-by-step explanation:

Answer:

The final answer is [tex]x = 5[/tex], which would be the second choice.

Step-by-step explanation:

Solve the equation:

[tex]-16x = -80[/tex]

-Divide both sides by -16:

[tex]\frac{-16x}{-16} = \frac{-80}{-16}[/tex]

[tex]x = 5[/tex]

So, the final answer is [tex]x = 5[/tex] .

Please help!

Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.

To the nearest cent, how much will he have in 4 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

4425.7

Step-by-step explanation:

2. The cone has a radius of 30 mm and slant height of 34 mm. What is the height h for this cone?​

Answers

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

[tex]\sqrt{r^2+h^2}[/tex]

34 = [tex]\sqrt{30^2 + h^2}[/tex]

[tex]34^2 = 30^2 + h^2[/tex]

[tex]1156 = 900 + h^2[/tex]

[tex]256 = h^2[/tex]

[tex]h = \sqrt{256}[/tex]

[tex]h = 16[/tex]

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
What is Maya’s biking speed?

Answers

Answer:

19 miles per hour

Step-by-step explanation:

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K), and the familiarity with the jokes (denoted by F) using this formula:

Answers

Answer:

L = f(J, K, F)

L = (JK²)/F

So, as the formula appears, the appropriate units will be option A.

Unit for number of laughs = (jokes*knowledge²) / familiarity

Just like the formula suggests.

Step-by-step explanation:

Complete Question

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: L = (JK²)/F

Select an appropriate unit for number of laughs:

A) (jokes*knowledge²) / familiarity

B) familiarity / (jokes*knowledge²)

C) familiarity² / (jokes*knowledge)

D) (jokes*knowledge) / familiarity²

Solution

L = f(J, K, F)

where

L = number of laughs

J = number of jokes

K = amount of knowledge about the joke material

F = familiarity with the jokes

Analysing how the dependent variable depends on each of the independent variables.

- Number of jokes

The number of laughs will increase with the number of jokes and vice versa. It can be stated that there is a direct variation between the number of laughs and number of jokes.

- Amount of knowledge about the joke material

The more one understands the joke material, the funnier the joke. In fact, the joke can be termed funnier when one understands the joke material deeply. The direct variation of number of laughs to knowledge about joke material isn't just enough, the number of laughs varying directly as the square of the knowledge of joke material seems more fitting.

- Familiarity with the joke

The more familiar one is with a joke, the less funny it is. Hence, it's an inverse relationship between number of laughs and the familiarity with the joke.

L = (JK²)/F

So, as the formula appears, the appropriate units will be

(jokes*knowledge²) / familiarity

Just like the formula suggests.

Hope this Helps!!!

The question is incomplete. Here is the complete question.

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: [tex]L = \frac{J.K^{2} }{F}[/tex].

Select an appropriate unit for number of laughs:

(jokes*knowledge²) / familiarity

familiarity / (jokes*knowledge²)

familiarity² / (jokes*knowledge)

(jokes*knowledge) / familiarity²

Answer: Unit for number of laughs is (jokes*knowledge²) / familiarity

Step-by-step explanation: Number of laughs (L) is related to jokes (J), knowledge (K) and familiarity (F) according to the proportion: [tex]L = \frac{J.K^{2} }{F}[/tex]

The unit for L will be: L = (jokes.knowledge²).familiarity⁻¹

or

L = [tex]\frac{jokes*knowledge^{2} }{familiarity}[/tex]

Are the ratios 3:9 and 1:3 equivalent

Answers

Answer:

[tex]yes \\ 1 : 3 = 3 : 9[/tex]

Step-by-step explanation:

yes.

[tex]1 : 3 = 3 : 9[/tex]

Let see how is it possible,

[tex]3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9[/tex]

Also,

[tex]1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

pls help me i dont understand pls help

Answers

Answer:

its 11 by 6

Step-by-step explanation:

hope it works out

Answer:

The correct answer is 11/6

Step-by-step explanation:

Hope it works out !!

The diameter of a sphere is 6 ft 6 in. Find the radius.

Answers

Answer:

3 ft 3 in

Step-by-step explanation:

The radius is half the diameter.  

If the diameter is 6 ft 6 in, then the radius is 3 ft 3 in.

What is the y-intercept of the line with equation y = 3x + 2

Answers

Answer:

The y-intercept is 2.

Step-by-step explanation:

We can find the y-intercept by looking at the linear equation y = mx + b.

m = slope

b = y-intercept

hello!

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

Let's find the y-intercept of this line.

You should notice that the equation is written in Slope-Intercept Form:

[tex]\bigstar{\boxed{\pmb{y=mx+b}}}[/tex]

Where

m -> slope

b -> y-intercept

In the equation y=mx+b, the y-intercept is b, and in the equation y=3x+2, 2 is the y-intercept.

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

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Which of the points shown below are on the line given by the equation y = x + 3​

Answers

Answer: B

Step-by-step explanation:

When sound is created it travels to the ear through a

Answers

Answer:

medium

Step-by-step explanation:

The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.

Answer:

Medium

Step-by-step explanation:

your welcome loves

There are 855 pieces of candy in the piñata. There are 19 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?

Answers

Answer: 45

Step-by-step explanation: 85/19=45

The answer would be 45 pieces of candy

PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST: Which geometric solid is the best model for the head of a human being?
A. Cylinder
B. Cone
C. Pyramid
D. Sphere​

Answers

Answer:

sphere

Step-by-step explanation:

Human heads are close to circles and sometimes are circles

Sphere is the best model for the head of a human being.

A human head definitely doesn't represent a Cone neither a Pyramid.

Now a cylinder is a solid which is circular at its edges and straight in its length which clearly does not model the human head. Now the Sphere, it does closely represent the outside figure of a human head.  

Thus Sphere is the best model for a human head.

Therefore option D, sphere is the correct answer.

Learn more about Sphere, refer:

https://brainly.com/question/26506182

#SPJ2

Write and solve a proportion to answer the question.
72 is what percent of 45?

Answers

Answer:

160% is for 72 of 45

The diameter of a circle measures 24 mm. What is the circumference of the circle? use 3.14 for π, and do not round your answer.

Answers

Answer & Step-by-step explanation:

[tex]Circumference=d\pi[/tex]

The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.

[tex]Circumference=(24)\pi[/tex]

We will use 3.14 for pi.

[tex]Circumference=75.36[/tex]

So, the circumference of the circle is 75.36 mm.

how many 3 combinations can you make with 11 numbers

Answers

Answer:

9

Step-by-step explanation:

3+8+7+6+5+88+456-8734_65+9999

Answers

Answer:

is this the right question

Answer:

1773

Step-by-step explanation:

because if you put the _ as - it mean to subtract so then you see how I got it

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