Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% more than the manufacturer's purchase price of a new drone. write a function to determine the total amount a customer saves if they purchase a used drone rather than a new drone from Jim's store. let x represent the manufacturer's purchase price of the drone

Answers

Answer 1

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

[tex]\mathbf{Used = 70\% \times x}[/tex]

Express percentage as decimal

[tex]\mathbf{Used = 0.7 \times x}[/tex]

[tex]\mathbf{Used = 0.7x}[/tex]

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

[tex]\mathbf{New= (1 + 15\%) \times x}[/tex]

Express percentage as decimal

[tex]\mathbf{New= (1 + 0.15) \times x}[/tex]

[tex]\mathbf{New= 1.15 \times x}[/tex]

[tex]\mathbf{New= 1.15x}[/tex]

The amount saved is the difference between the prices of the drones.

So, we have:

[tex]\mathbf{Saved =New - Old}[/tex]

This gives

[tex]\mathbf{Saved =1.15x- 0.7x}[/tex]

Subtract

[tex]\mathbf{Saved =0.45x}[/tex]

Express as a function

[tex]\mathbf{f(x) = 0.45x}[/tex]

Hence, the function for the amount saved is f(x) = 0.45x

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Related Questions

What is an equation of the line that passes through the points (6, 2)and (-6, -8)

Answers

Answer:

Step-by-step explanation:

(-8 - 2)/(-6 - 6)= -10/-12= 5/6

y - 2 = 5/6(x - 6)

y - 2 = 5/6x - 5

y = 5/6x - 3

X
х
a) Work out (8 x 10^-3)(2 x 10^-4
Give your answer in
standard form.
(

Answers

Answer:

1.6 x 10^-6.

Step-by-step explanation:

a) Work out (8 x 10^-3)(2 x 10^-4)

= 8 x 2 x 10^(-3 + -4)

= 16 x 10^-7

Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.

= 1.6 x 10^-6.

What bed level deviation is considered precise.

Answers

Answer: A levelling map viewed in Optoprint shows a 0.7mm deviation 'high' in the rear right corner vs the front left 'home' position of the bed.

Step-by-step explanation:

Kayla states the following about the graph of

y = (x + 5) (x - 5) (x + 3)

This equation is 2nd-degree so both arrows will be pointing
the same way.
The ends of the equation will both be pointing up since the
leading coefficient is positive.

Describe in words, in as many ways as you know how, how you
would tell this student whether they were right or wrong.

Answers

Answer:

x^1=-5, x^2=-3, x^3=5

Step-by-step explanation:

Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts

Answers

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

Please help! 20 points! Will give brainliest!

Answers

Answer:

2 and 4 are correct

Step-by-step explanation:

Hope this helps!❄︎

what is the answer??????​

Answers

Answer:

1) A 1 1/3    2) C  1 5/12

Step-by-step explanation:

1) 2/6+4/8+5/10

Reduce 4/8 with 4 and 5/10 with 5.

2/6+1/2+1/2

Reduce 2/6 with 2.

1/3+1/2+1/2

Add fractions with a common denominator.

1/3+2/2

Reduce 2/2 with 1

1/3+1

Write all numerators above the common denominator.

1+3/3

Calculate.

4/3 = 1 1/3

2) 2 3/4 - 1 1/3

Change to improper fractions.

11/4 - 4/3

Write all numerators above the common denominator.

33-16/12

Calculate.

17/12 = 1 5/12

Hope this helps :)

What is the slope for M(4,-8 negative) N(6,-1 negative)

Answers

Answer:

m=7/2

Step-by-step explanation:

What is the distance between points A and B?
A
B
-87-6 5 4 3 -2 -1
0
-
3
2
-
5
4
+
7
6
8
- 6 units
-1 units
O 5 units
6 units

Answers

Answer:

6 units

Step-by-step explanation:

Just count

The distance between points A and B is 6 units.

What is Subtraction?

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In geometry, Distance between two points will be always a positive number.

Distance will be 0, if the points coincide.

Here on a number line, A is marked at -5 and B at 1.

We have to find the distance between A and B.

Distance between A and B = 1 - -5 = 1 + 5 = 6 units

Hence distance between A and B is 6 units.

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What is the answer to the question below, I have been working on it for a while. Plz help!
The quotient of 10 times m and 7

Answers

Answer:

10m / 7

Step-by-step explanation:

times = multiplication of 10 and variable m

quotient of = division of 7

Mackenzi is buying school supplies. She needs to buy 30 writing utensils so that she doesn't run out during the year
but only has $20.90 saved up. If pencils are $0.35 and pens are $0.95 at the school store, how many of each could
she get if she spent all of her savings?
х
Answer the following questions. Round your answers to the nearest whole numbers.
How many pencils can she buy?
How many can she buy?
*Help ASAP please!*

Answers

She can buy 16 pens and 16 pencils.

The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.

Answers

Answer:

78.5

Step-by-step explanation:

[tex]r^{2}[/tex]x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

what is the answer ?????​

Answers

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

PLEASE I NEED HELP


The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)

Answers

Answer:

14.0

Step-by-step explanation:

First, find the area of the whole circle using the equation pi * r^2.

pi * (7^2) = 49pi

Then, to only get the area of a quarter of the circle, divide this number by 4.

49pi/4 = 38.485

Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.

1/2 * (7*7) = 24.5

Then subtract that number from the previous one.

38.485 - 24.5 = 13.985

You need to round this to 3 significant figures, so it would be 14.0.

Hope this helps

The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.


What are the coordinates of the transformed rectangle P'Q'R'S'?

A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)

Answers

Answer:

The answer should be A.

Step-by-step explanation:

I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)

I NEED HELP THIS HW IS DUE TODAY​

Answers

a) 15xy
b) -6x^3y
c) 6x^2y^2
d) -7y

2.
a) 2a
b) -7b
c) -12

3a. (d) 10x^2
3b. (d) -3x^2
Your homework is multiple choice? This is easy man, the answer is right below the question itself

help i don’t get it

Answers

Answer:

2.2+3(3.4)

=2.2+10.2

=12.4

Step-by-step explanation:

28.5 is 30% of what number

Answers

Answer:   28.5 is what percent of 30? = 95.

Step-by-step explanation:

answer it pls
pls
pls

Answers

Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer

Answers

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

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What equation represents this sentence?

28 is the quotient of a number and 4.


28=n4

4=n28

4=28n

28=4n

Answers

I think it’s 28=4n because quotient means the result of. And then I get 4n because the number comes before the variable.

The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.

What is an equation?

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.

It is given that, 28 is the quotient of a number and 4.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

Suppose the number is n,

n/4=28

Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.

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What are the coefficient terms and Constants of 10x + 5 + 3x + 1

Answers

Answer:

The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.

Step-by-step explanation:

Coefficients = The number that is in front of the variable.

Constant = Any number without a variable.

(Variables are the letters that you may find in an equation or function.)

Hope this helps you :)

Answer:

The coefficient are 10 and  3

The constants are 5 and 1

Step-by-step explanation:

A coefficient is the number in front of any known term.

A constant is a number by itself.

So the coefficient are 10 and  3

The constants are 5 and 1

Write a function that represents the relationship between X and y shown in the graph below

Answers

Answer:  y = 3x-10

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

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

answer is 10,029 ft/h if I'm not wrong

I need help im horrible at math and who ever does this for me please i will give you 100 pts and brainliest

Answers

Answer:

1/4 > 1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

mhmh idek man

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)

Answers

Answer:

C

Step-by-step explanation:

When

f(x+3) would indicate a Shift 3 units to the left

f(x-3) indicates a Shift 3 units to the right

y+3=f(x) indicates a Shift 3 units up

y-3=f(x) indicates a Shift 3 units down

Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C

pls help!!

Dominick buys a package of soup mix that is 1.38 ounces. How many ounces are 6 packages of soup mix?​

Answers

Answer:

8.28

Step-by-step explanation:

this is the answer because

.08*6= .48

.3*6= 1.8

1*6=6

.48+1.8 = 2.28

6+2.28=8.28

7. E(5, 4), F(8, 1) what is the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

The answer for this lol thanks

Answers

Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

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