Mike bought a set of golf clubs that cost k dollars. He signed an installment agreement requiring
a 5% down payment and monthly payments of g dollars for 12 years.
a.
Express his down payment algebraically.
b. How many monthly payments must Mike make?
C.
Write expressions for the total amount of the monthly payments and the finance charge.

Answers

Answer 1

Using the appropriate interest relation, the solution to the problems posed are :

Down payment = 0.05k 144 monthly payments Total monthly payment made = 144g

Down payment :

5% of total cost Total cost = k

5% × k = 0.05k

B.)

Number of monthly payments :

Number of months per year = 12

Number of years = 12

Number of monthly payments = 12 × 12 = 144

C.)

Total charge :

Monthly payment = $g

Number of monthly payments × amount paid

g × 144 = 144g

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Related Questions

There are 45 questions on your math exam. You answered 810

of them correctly. How many questions did you answer correctly?

Answers

Answer:

810/45=18 as the answer

If
p
:
q
=
1
3
:
2
and
p
:
r
=
3
4
:
1
2
, calculate the ratio
p
:
q
:
r
Giving your answer in its simplest form.

Answers

Answer:

  p : q : r = 3 : 18 : 2

Step-by-step explanation:

Given:

  p : q = (1/3) : 2

  p : r = (3/4) : (1/2)

Find:

  p : q : r

Solution:

We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.

  p : q = (9)(1/3) : (9)(2) = 3 : 18

  p : r = (4)(3/4) : (4)(1/2) = 3 : 2

Then the ratio of interest is ...

  p : q : r = 3 : 18 : 2

_____

Additional comment

We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.

  LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3

__

As with integers, you also have ...

  LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)

The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...

  LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3

Jim is running on a trail that is 7/8 of a mile long. So far he has run 4/5 of the trail. What fraction of a mile has he run so far?

Answers

Answer:

7/10

Step-by-step explanation:

4/5 of 7/8 means we can multiply the fractions to get the answer

28/40 can be simplified by dividing by 4 to get:  7/10

Which graph represents y=⌈x⌉over the domain 2≤x≤5 ?

Answers

Answer:

4

Step-by-step explanation:

#1 has to be excluded, since it jumps from 4 to 5 and has a hole between x=4 and x=5

#2 loses the extreme values. It would be correct if the domain was [tex]2<x<5[/tex]

#3 is including values in the interval [tex]1<x \leq 2[/tex] which aren't in our domain.

#4 is the remaining one.

[tex]\boxed{\sf m+14=3}[/tex]

Answers

Step-by-step explanation:

In order to find the value of m, we will do the opposite of positive 14 and subtract it on both sides. Now we have m = -11.

Hope this helps :)

Answer:

m = -11

Step-by-step explanation:

m+14 = 3m+14-14 = 3-14m = -11

You want to start a business selling shoes. The shoes cost $30 to
a
make as well as a $50 delivery fee from the company. You are
planning to sell the shoes for $45 each.

QUESTIONS:

Write a function that represents the cost to make the shoes.
Write a function that represents the revenue from selling the shoes.
Write a function that represents the profit from selling the shoes.
How many shoes will you have to sell to make profit?

Answers

Answer:

A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $32 per pair of shoes. The shoes ...

5 pages

Step-by-step explanation:

can i have help please with these

Answers

Answer:

Please mark as brainlest please

what is the completely factored form of this polynomial

Answers

Answer:

b)7x²(x-4)(x+6)!!!!!!!!!!!!

Answer:

D)  7x²(x+4)(x-6)

Step-by-step explanation:

the greatest common factor of all 3 terms is 7x²

7x²(x² + 2x - 24)

now we can factor x² + 2x - 24 to be:

(x+4) (x-6)

12 less than the quotient of a number and 4.

Answers

Answer:

Let’s let the unknown number be “x”

Now we can just plug it in

quotient of a number and 4

x/4

12 less then the quotient

(x/4)-12

Complete the proof:
Given: DA||YN , DA=YN
Prove:<ANY= <YDA​

Answers

Answer:

[tex]^{}[/tex]wer here. Link below!

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

help please, i need to find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

(1, 3) and (-3, -5)
write a linear equation given the two points

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope;  (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

    m = 2 and using point (1, 3) , solve for "b"

       y = mx + b

       3 = 2(1) + b

       3 = 2 + b

      1 = b

3.  Write the linear equation: y = 2x + 1

Factor 2a² + 8ab - 3a – 126 by grouping.
-
2a? + 8ab3a - 12b =


PLEASE HELP ILL GIVE BRILLIANCE

Answers

Answer:

Step-by-step explanation:

(1): "a2"   was replaced by   "a^2"

((2a2 +  8ab) -  3a) -  12b

2a2 + 8ab - 3a - 12b

Solve for x:

42=3x+6
Question 2 options:

x=-16


x=16


x=12


x=14

Answers

X=12 because 12x3+6=42

Answer:

42=3x+6

subtract 6 from both sides

42-6=3x+6-6

to get

36=3x

divide both sides by 3 to isolate x

36/3=3x/3

to get

12=x

factor completely. x^2-2x-24​

Answers

Answer:

(x-6)(x+4)

Step-by-step explanation:

17 helpppppppppppppppppppppppppppppp

Answers

Answer:

if understand this correctly

Step-by-step explanation:

it would be half a meter

Answer:

Hi. is there a picture you can upload in your next question? I can try to help!

Step-by-step explanation:

Byeeee have a nice day

Type your number answer in decimal form. Do not round.

2,500 grams = _______ Kilograms.

Answers

2500 grams = 2.5 kilograms.

Remember:-

1000 grams = 1 kilogram.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Use substitution to solve this system of an equation of y= 2x -4

Answers

A system of equations consists of at least two equations

The value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

The equation is given as:

y = 2x - 4

The actual question is to solve for x.

So, we start by adding 4 to both sides of the equation

y +4 = 2x - 4 + 4

y +4 = 2x

Rewrite the equation as:

2x= y +4

Divide both sides of the equation by 2

[tex]\mathbf{\frac{2x}2 = \frac{y +4}2}[/tex]

Divide 2x by 2

[tex]\mathbf{x = \frac{y +4}2}[/tex]

Split the fraction

[tex]\mathbf{x = \frac{y}2 +\frac{4}2}[/tex]

Simplify

[tex]\mathbf{x = \frac{y}2 +2}[/tex]

Hence, the value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

Read more about systems of equations at:

https://brainly.com/question/12895249

What value of g makes the equation true?
–11
–3
3
11

Answers

What equation are u talking abt?

The following table shows the distance from the bus stop as a function of time:

Time (in minutes)
x Distance (in meters)
f(x)
0 45
3 40
6 35
9 30
12 25
Find and interpret the meaning of the x-intercept in this scenario.

a
(45, 0); the distance away from the bus stop

b
(27, 0); the time it takes to reach the bus stop

c
(45, 0); the time it takes to reach the bus stop

d
(27, 0); the distance away from the bus stop

Answers

Answer:

b on the time it takes to reach the bus stop

what is ten minus three to the second power

Answers

Answer: 1

Step-by-step explanation: 3 to the second power is just 3x3 which is 9. But because you asked "What is ten minus" we write it as 10 - 9 = 1 Hope it helped ^^

An electrician charges $45 for a house call and then an additional $16 dollars an hour to fix your lights. If the electrician is there for 4 hours, how much would you owe the electrician. You would owe them dollars

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to above statement ~

[tex]y = 16x + 45[/tex]

where,

y = total money charged by electrician

x = number of additional hour he/she works

so, let's plug the value of x as 4 hours to find y ( total money charged by the electrician )

that is ~

[tex]y = (16 \times 4) + 45[/tex]

[tex]y = 64 + 45[/tex]

[tex]y = \$ \: 109[/tex]

So, you owe a total of $ 109 to the electrician ~

Malachy, Sarah & Paul share some money in the ratio 1 : 9 : 3.

In total, Malachy and Paul receive £52.

How much does Sarah get?

Answers

Step-by-step explanation:

Answer is in the picture

Determine the pattern shown in the table.
Please help

Answers

Answer:

A

Step-by-step explanation:

Both the input and output are being increased by 1.

For Incap T-shirts, the cost of producing x t-shirts can be expressed as C=0.6x2+0.52x+3200.

The revenue they gain can be expressed as R=100x. What is the maximum profit (revenue subtract cost) they can make? In other words, what is the maximum value of R−C? Express your answer to 2 significant figures.

Answers

The maximum profit is $923.44 which is gotten when 83 T shirts are produced.

Given the function:

Profit = Revenue - Cost

Profit (P) = 100x - (0.6x²+0.52x+3200)

P = -0.6x² + 99.48x - 3200

The maximum profit is at dP/dx = 0, hence:

dP/dx = -1.2x + 99.48

0 = -1.2x + 99.48

1.2x = 99.48

x = 82.9

x ≅ 83

The maximum profit is at x = 83, hence:

P = -0.6(83)² + 99.48(83) - 3200

P = 923.44

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A carpenter needs 5 1/2 strips of lumber for a project If each strip measures $ meter, how many meters of lumber does the carpenter need in all?

Answers

Answer:

A carpenter needs 4 1/3 strips of lumber for a project. Each strip is to measure 1/3 meter.

Step-by-step explanation:

Answer:

5 1/2 meters because 5 x 1/2 gives 11/2 so mixed fraction will be 5 1/2

What is the slope and y-intercept -4x+2y=-2

Answers

Answer:

Slope: 2

Y-intercept:  (0, -1) or - 1

Step-by-step explanation:

Given the linear equation, -4x + 2y = -2:

Transform the given equation into its slope-intercept form, y = mx + b:

-4x + 2y = -2

Add 4x to both sides:

-4x + 4x + 2y = 4x - 2

2y = 4x - 2

Divide both sides by 2 to isolate y:

[tex]\frac{2y}{2} = \frac{4x - 2}{2}[/tex]

y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).

There are men and women at a meeting.
There are 42 women.
40% of the people at the meeting are men.
Work out the total number of people at the meeting.

Answers

Answer:

70 people

Step-by-step explanation:

40% of people are men, then 60% are women.

60% of x is 42 people, find x:

0.6x = 42x = 42/0.6x = 70
men=40%Women=100-40=60%

Let total people be x

ATQ

[tex]\\ \sf\longmapsto 60\%\:of\:x=42[/tex]

[tex]\\ \sf\longmapsto 0.60x=42[/tex]

[tex]\\ \sf\longmapsto x=42/0.6=70[/tex]

A car is 500 miles from its destination after 2 hours and 410 miles from its destination after 3.5 hours. What is the rate of change?
A. 1.5 miles per hour
B. 60 miles per hour
C. 90 miles per hour
D. 135 miles per hour

PLEASE HELP









Answers

Answer:

500-410=

= 90

Step-by-step explanation:

your answer is c 90 miles per hour

Answer:

1. -1/3

2. (11,13) and (8,18)

3. -2

4. undefined

5. 60 miles per hour

Need help with this please.

Answers

Point slope: y-y1 = m(x-x1)
First find the slope
Draw triangle from(-1,1) to (0,-1)
There’s 2 down, 1 right = -2/1 = -2 slope
Now plug in the point (-1,1)
m = slope

Solution: y-1 = -2(x + 1)
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