Mr Kent sells calculators for $35 each. If an order is placed from a business account, there is a $50 shipping fee, and no fewer than 100 calculators can be purchased. Which is a reasonable amount of money that a business would spend when ordering calculators?

Answers

Answer 1

Answer:

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

[tex]c=\$50[/tex] ---- shipping fee

[tex]r =\$35[/tex] --- unit selling price

[tex]n \to[/tex] number of orders

[tex]n \ge 100[/tex] ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

[tex]f(n) = r * n + c[/tex]

This gives:

[tex]f(n)=35 * n + 50[/tex]

[tex]f(n)=35n + 50[/tex]

Recall that the domain is: [tex]n \ge 100[/tex]

So, we have:

[tex]f(n)=35n + 50[/tex]   [tex]n \ge 100[/tex]

The reasonable amount of order implies that we calculate the range of the function

[tex]n \ge 100[/tex] implies that the minimum is 100

So:

Substitute 100 for n in [tex]f(n)=35n + 50[/tex]

[tex]f(100) = 35 * 100+50[/tex]

[tex]f(100) = 3500+50[/tex]

[tex]f(100) = 3550[/tex]

So, the range of the function is:

[tex]3550 \le f(n) < \infty[/tex]


Related Questions

D
Y
T
What criteria can be used to prove these two triangles congruent?
HL
SSA
ASA
AAS
Previous

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The ASA rule states that:

If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Angle-Angle-Side (AAS) Rule

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The AAS rule states that:

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then triangle ABC is congruent to triangle QRP.

Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p

Answers

Answer:

C (3rd choice)

Step-by-step explanation:

Domain (x-values):

We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.

Range (y-values):

We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.

A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?

Answers

Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

Angle measurements 84 degree help find out what’s the other side degree

Answers

Answer: 84 degrees

Step-by-step explanation: because of corresponding angles

Find the inverse of f(x)

Answers

Answer:

[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]

The diameter of a strand of rope is 1.2 ×10^-3 inch. The diameter of a strand of floss is 2.0 ×10^-4 inch.
How much longer is the diameter of the strand of rope than the diameter of the strand of floss?
A. 2.0 ×10^-7 inch
B. 1.0 ×10^-7 inch
C. 2.0 ×10^-3 inch
D. 1.0 ×10^-3 inch

Answers

Answer:

D. 1.0 x 10^-3

Step-by-step explanation:

1.2 ×10^-3 = .0012

2.0 ×10^-4 = .0002

.0012

.0002

_______

.0010 = 1.0 x 10^-3

Answer:D

Step-by-step explanation:


Which expression makes the equation true for all values of x?
16x – 16 = 4(.? _)
A 4x - 4
B 4x - 16
C 2x - 2
D 12x - 12

Answers

Answer:

16x - 16 = 4(4x - 4) Step-by-step explanation:

Complete the steps to simplify ^5 square root of 4 * square root of 2
Rewrite using rational exponents.

Answers

Answer:

2^(2/5) * 2^½ => first option

Step-by-step explanation:

^5√4 * √2 = ^5√2² * √2

= 2^(2/5) * 2^½ => first option

The expression can be written as [tex](4)^\frac{1}{5}\times(2)^\frac{1}{2}[/tex]. The correct option is C.

What is an expression?

The symbol " that expresses a number's root is known as radical, and it is read as x radical n or the nth root of x. The horizontal line that surrounds the number is known as the vinculum, and the number beneath it is known as the radicand. The index or degree is the number n written before the radical.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is ⁵√4 x√2. The expression can be written as:-

E =  ⁵√4 x√2

[tex]E = (4)^\frac{1}{5}\times(2)^\frac{1}{2}[/tex]

To know more about an expression follow

https://brainly.com/question/28519153

#SPJ2

audio
For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect?

Answers

8 cans

48/6=8

since each student collected equal amounts then divide the number of cans by the number of students

Can somebody help me

Answers

Answer:

14.583333% decrease

Step-by-step explanation:

First find the difference

24000-20500 =3500

Then divide by the original amount

3500/24000 =.14583333

Change to a percent

14.583333% decrease

Answer:

14.6%

Step-by-step explanation:

Use the ol’ reliable: [tex]\frac{new(value)-old(value)}{old(value)}*100[/tex]

In this case: [tex]\frac{20500-24000}{24000}*100=-14.6[/tex]

It’s a 14.6% decrease.

Can someone pls give me the answer to this?

Answers

it would be 10

Step-by-step explanation:

once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10

Can 4, 6, and 12 be the measure of the sides of a triangle?
and
Can 6, 15, and 20 be the measure of the sides of a triangle?​

Answers

Answer:

yes they can

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes they can............

HELP

PLSSSSSSSSSSSSSSSSSSSSSS

Answers

OH SO LIKE CHESTER WAS A REALLY BAD PERSON.

Need help algebra 1 Picture include

Answers

Answer:

A

Step-by-step explanationA :

Terry sees this offer:
Refurbished Phone = 35% off
Now only £78

How much was the phone before the discount?

Answers

The phone was 120 (1%=1.2 so 1.2x100)

Please help or else you will get killed by Shrek!

Answers

Answer:

D as in donKAY

Step-by-step explanation:

If MrBeast bought 69 Lamborghini's and bought 420 Rolex watches how many items in all would he have bought altogether?

Answers

it’ll be 489 altogether

have a great day :)

Answer: 489

Step-by-step explanation:

420+69=489

25+ POINTS WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

perimeter of rectangle=a+b+c

=3x+3x+15

=6x+15

if perimeter of rectangle is 90,

perimeter=a+b+c

90=3x+3x+15

90-15=6x

75/6=x

12.5=x

Answer:

X=12.5

Step-by-step explanation:

3x+3x+15

If it equalls 90 then write it as 6x+15=90

Now isolate X.

6x+15=90

6x=75

x=12.5

CHECK UR WORK

(3*12.5)+(3*12.5)+15=90

37.5+37.5+15=90

75+15=90

90=90

9
State the various transformations applied to the base function f(x) = [x] to obtain a graph of the function g(x) = -[x]+2
A reflection about the x-axis and a vertical shift upward of 2 units.
A reflection about the y-axis and a vertical shift downward of 2 units.
A reflection about the y-axis and a vertical shift upward of 2 units.
A reflection about the x-axis and a vertical shift downward of 2 units.

Answers

Answer:the answer is B

Step-by-step explanation:

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

8 17/18

Step-by-step explanation:

3 5/6 + 5 1/9

23/6 + 46/9

161/18

8 17/18

In mixed form.. 8 whole number 17/18

The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance or slope formula(s), determine the most precise classification of LMNP: parallelogram, rectangle, rhombus, or square​

Answers

Answer:

Its a rectangle.

Step-by-step explanation:

After graphing the points, we can quickly figure out it cant be a square.

Then, when we draw the sides, we see it has to be a rectangle, since each side has a perfect 90 degree angle, and the opposite side lengths are parrelel.

Answer:

Step-by-step explanation:

What is true of the type of angle in this lesson? It measures half the sum of the arc it intercepts. It measures twice the sum of the arc it intercepts. It measures half the sum of the arcs it intercepts. It measures twice the sum of the arcs it intercepts.

Answers

Answer:

Step-by-step explanation:

Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.

Find the probability that a randomly selected point within the circle falls in the white area. 60* 60* r = 4cm round to the nearest tenth of a percent

Answers

Answer:

66.7%

Step-by-step explanation:

Please find attached the complete question

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that a randomly selected point within the circle falls in the white area = degree occupied by white area / sum of angles in a circle

sum of angles in a circle = 360

degree occupied by white area = sum of angles in a circle - sum of degrees of shaded area

360 - (60 + 60) = 240

240 / 360

convert to its simplest form by dividing by 120 = 2/3

2/3 x 100 = 66.7%

Answer:

66.7

Step-by-step explanation:

Al precio de un producto se le aplica un descuento del 30% y al nuevo precio otro descuento del 30% cual es el descuento total?

Answers

Answer:

The total discount is 51%.

Step-by-step explanation:

A 30% discount is applied to the price of a product and another 30% discount to the new price. What is the total discount?

Let the price is p.

After first discount, the price is

= 70% of p = 0.7 p

After second discount, the price is

= 70% of 0.7 p

= 0.7 x 0.7 p

= 0.49 p

So, let the total discount is d.

[tex]d = \frac{p - 0.49 p}{p}\times 100 = 51%[/tex]

An element with a mass of 630 grams decays by 30% per minute. To the nearest minute, how long will it be until there are 30 grams of the element remaining?

Answers

Answer:

It should take somewhere 9 minutes to decay until there are 30 grams remaining.

Step-by-step explanation: I just estimated

Dadas as coordenadas dos vértices de uma triângulo ABC, em que A=(1; 1), B=(4; 1)
e C=(4; 5), responda as questões a seguir:
a) Qual o valor do perímetro do triângulo ABC?

b) Qual o valor da área do triângulo ABC?

Answers

Answer:

kjhgfdsadfg jhgfdsasdfgh mnbvcxz poiuytre

Step-by-step explanation:

What’s the answer?? To question 4

Answers

Answer:

jkjkjkjkjkjk

Step-by-step explanation:

jkjkjkjkjkjkj

Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.

Answers

Answer:

$19.99

Step-by-step explanation:

There are 12 months in a year, so in 2 years, there are 24 months.

Find how much each payment will be by dividing the cost by 24:

479.76/24

= 19.99

So, each payment will be $19.99

Help me please???!!!!!!!

Answers

Answer:

im not sure

go on volume calculator

Step-by-step explanation:

11. The length of a rectangle is decreased by 25%
and the width is increased by 40%. Calculate
the percentage change in the area of the
rectangle.

Answers

Answer:

Step-by-step explanation:

given.quesion.

The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle

to. find.

area of the rectangle

given

decreased. 25•/•

increased.40•/•

solusion

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 - 25%) x B x (1 + 40%)

A = L x B x 0.75 x 1.40 = L x B x 1.05

Therefore the area of the rectangle has increased by 5%.

required answer.

5•/•

answer. with. explamation. in. attachment.

hope. it's. helps. you.

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