The sales in thousands of dollars that Terrific Toys makes during one month can be approximated by the functions S(x)=2x³-2x²+4x, where x represents the number of days after the first day of the month. About how many days will it take the store to make $50,000?

Answers

Answer 1

Answer:

The days will it take the store to make $50,000 in a whole number are:

30 days.

Step-by-step explanation:

Remember that x represents the number of days, so, you must replace different values in the formula until you obtain a value of $50,000, in this form:

S(x)= 2x³-2x²+4xS(1)= 2*1³-2*1²+4*1S(1)= 4 ($4).

So, I'll show you that the value that you need is 30 in a whole number.

S(30)= 2*30³-2*30²+4*30S(30)= 52,320 ($52,320)

I know that the value exceeds the amount of $50,000, but if you use just a day before:

S(29)= 2*29³-2*29²+4*29S(29)= 47,212 ($47,212)

How you can see, if you use 29 days, the value doesn't reach $50,000, by this reason, you must use 30 days to reach it.


Related Questions

Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.

Which graph shows Janice's position as she roller skates away from her house?

A. Z
B. X
C. W
D. Y​

Answers

Answer:

If I had to guess... I think it would be Y

Step-by-step explanation:

The reason why I think its Y is because the line on the graph seems to go constant till it gets to the tip. As you can see the line is less slanted meaning that she is going slower. (If you know what I mean.. I tend to be bad at explaining things hehe..)

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Answers

Answer:

[tex]y-1=-3(x+2)[/tex]

Step-by-step explanation:

The equation of the given line:

[tex]y-1=\frac{1}{3}(x+2)[/tex]

This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex].  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]

6(1-4w)=-18

do the distributive property

Answers

Answer:

w=1

Step-by-step explanation:

6(1-4w)=-18

(6*1)-(6*4w)=-18

6-24w=-18

-24w=-24

w=1

Will u mark me brainliest plz!!!!???!!!

w=1

Step-by-step explanation:

if h(t) = -3t + 6 + 7t, What is h(3)

Answers

Answer:

h(3) = 18

Step-by-step explanation:

Step 1: Define

h(t) = -3t + 6 + 7t

h(3) is x = 3

Step 2: Simplify

h(t) = 4t + 6

Step 3: Substitute and Evaluate

h(3) = 4(3) + 6

h(3) = 12 + 6

h(3) = 18

h(3)=18
-3(3)+6+7(3)
-9+6+21
-3+21
18

Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?

Answers

How long is Julio hiking?

pls help me with this​

Answers

what are the directions?

The group of points {(0, 1), (0,5), (2, 6), (3, 3)}
is not a function, but the group of points {(1, 4),
(2, 7), (3, 1), (5, 7)} is a function. What do you
notice about the two groups of points? What do
you think it means to be a function?

Answers

Answer:

each x point should be mapped to a y point

Step-by-step explanation:

What are the 4 terms for f(x)=7-2x​

Answers

Answer:

f, x, 7, -2

Step-by-step explanation:

Determine if the conclusion that follows from the given statements below is valid. If valid which law was used?
1. if a number is a natural number then it is a whole number
2. if a number is a whole number then it is an integer
Conclusion : if a number is a natural number then it is an integer

Answers

Answer:

the conclusion is not valid

Answer: The conclusion is valid by the law of syllogism

The law of syllogism follows the basic form:

If P, then Q

If Q, then R

Therefore, if P then R

We can write it like this

[tex]P \to Q \\\\Q \to R\\\\\therefore P \to R[/tex]

We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).


Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift

Answers

The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.

Answer: B period

Step-by-step explanation:

EDGE 2020

3.) Find the domain and range for each of the following functions.

Answers

Domain is x’s and range is y’s.

For a, the domain is -2<=x<1
For a, the range is 1<=y<2

For b, the domain is 1<=x<=2
For b, the range is -2<=y<=2

(The <= is the ones with a line under, meaning equal to, if that makes sense. So write with a line under rather than equal sign)
Hope this helps!

why is (4,1) not a solution to the equation y=3x+1

Answers

Answer:

When you plug in the coordinate into the equation, the equation becomes false.

Step-by-step explanation:

Step 1: Define

y = 3x + 1

(4, 1)

Step 2: Substitute and Evaluate

1 = 3(4) + 1

1 = 12 + 1

1 ≠ 13

Answer: plus x and y into the formula

Step-by-step explanation:

An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?

Answers

The new cost of the Xbox is $165.60

1.00 - 0.28 = 0.72

0.72 * 230 = 165.60

What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2

Please Help!!

Answers

The answer is D -5/2

Answer:

D

Step-by-step explanation:

You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).

You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.

Hope this helps! :)

Solve 4x + 10-30
X<5
x>5
X<10
X>10

Answers

Answer:

0

Step-by-step explanation:

4x + 10 - 30

4 × 5 + 10 - 30

20 +10 - 30

30 - 30

0

(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =

Answers

Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.

If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives

-csc²(y) y' = 1

y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)

Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by

f(a, b) • v

Compute the gradient ∇ f(x, y) :

f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j

At the point P, we have

f(x, y) = - 8/17 i - 8/17 j

So, the derivative of f at P along v = - 4 i + 5 j is

(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17

Plssssss answer thjs quet

Answers

Answer:

I’m. Not really good at math but I think its b

Step-by-step explanation:


Step 1: m2m+mZn +mzo = 180 degrees (sum of angles of a triangle)
Step 2: mp +mZo = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, mZm+mZn+mZo=mZn + MZD Step 4: So.mZm+mZn=mZp
In which step did the student first make a mistake and how can i be corrected?
Step 1: it should be mZm+mZnam 2990 degrees (corresponding angles)
Step 1: I should be mm +mZn+mZo = 90 degrees (adjacent angles)
Step 3: t should be mZm+mZnm Zo=mZo-mZp Step 2. n should be mZo-mZo=90 degrees (complementary angles) -​

Answers

Answer:

mZo == mc+a3/3x + 9b == mZnam

Step-by-step explanation:

Hope i could help :)

(2x + 25) y
(3x - 10)
solve to get the answers of the variables

Answers

Answer:

y = 65 degrees

Step-by-step explanation:

(this is what i remember from geometry at least so let me know if i got anything wrong)

2x+25 and 3x-10 are opposites which means they are equal to each other.

2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides

25 = x-20 to get the x value alone add 20 to both sides

45 = x

now you can plug in x to either equation to find out what their degree is

2(45)+25 = 115 degrees

and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y

180-115 = 65 degrees

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,

(2x + 25) = (3x - 10)

2x + 25 = 3x - 10

25 + 10 = 3x - 2x

x = 35

Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,

(2x + 25)° + y° = 180°

2x + 25 + y = 180°

Substitute the value of x,

2(35) + 25 + y = 180

70 + 25 + y = 180

95 + y = 180

y = 85°

Hence, the value of the variables x and y are 35 and 85, respectively.

Learn more about Vertical angle here:

https://brainly.com/question/24460838

#SPJ2


(a). Solve for x if 133x = 43 seven
(). Given that fix - 2x2 - 8x + 5 and g: x - x -2
(i). Calculate f(-3)
(ii). Find the values of x, such that f(x) = g(x)

Answers

Step-by-step explanation:

*Syntax Error*

just consult with your teacher

Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?

Answers

Given:

[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex].

To find:

The expression, which is equivalent to the given expression.

Solution:

We have,

[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex]

[tex]=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex]         [tex][\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}][/tex]

[tex]=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex]         [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Cancel out the common factors.

[tex]=\dfrac{1}{1+\cos (x)}[/tex]

Therefore, the correct option is C.

    Given question is incomplete; find the complete question in the attachment.

    Simplified form of the given trigonometric expression will be represented by Option C.

Given expression is,

[tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )[/tex]

[tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}[/tex] [Since. [tex]\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}[/tex]]

                          [tex]=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}[/tex]

                          [tex]=\frac{1}{1+\text{cosx}}[/tex]

   Therefore, Option C will be the correct option.

Learn more,

https://brainly.com/question/11607107

What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point

f(5)=40

f(5)=20

f(5)=5

f(5)=10

Answers

The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is

[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]

Solve for [tex]f(5)[/tex]:

[tex]\dfrac{f(5)-10}2=15[/tex]

[tex]f(5)-10=30[/tex]

[tex]\boxed{f(5)=40}[/tex]

how do i do this! pls help ASAP, and pls show work too!

Answers

Answer:

a = (g +b)/cx = (u +2)/2

Step-by-step explanation:

Find the variable in the expression and see what has been done to it. Here, 'a' has been multiplied by c, and b has been subtracted from the product. Undo those operations in reverse order.

Undo the subtraction of b by adding b to both sides.

  g +b = ca -b +b

  g +b = ca . . . . . note b is no longer subtracted from the product

Undo the multiplication by dividing both sides by c.

  (g +b)/c = (ca)/c

  (g +b)/c = a

  a = (g +b)/c

__

The second problem is worked exactly the same way.

  u = 2x -2

  u +2 = 2x . . . . . add 2 to both sides

  (u +2)/2 = x . . . . divide both sides by 2

  x = (u +2)/2

help me please i’m stuck, thank you

Answers

Answer:

the answer is D. 8

Step-by-step explanation:

2x+14=3x+6

14=x+6

8=x

D

answer is: D. 8

helped my sister on this problem

3 different numbers which are all equivalent to 10

Answers

Answer:

2 4 6

Step-by-step explanation:

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.

b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.

(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).

Answers

A. Length = 10
Width = 6
B. 1.6 cm

Company A charges a $100 annual fee plus a $9/hr car share fee. Company B
charges $120 plus $7/hr. What is the minimum number of hours that a car
share needs to be used per year to make Company B a better deal?
O A. 11
O B. 10
O C. 12
O D. 9

Answers

Answer:

A.11

Step-by-step explanation:

i think 11 hours is the minimum number of hours that a car share needs to be used per year because it might also make Company B a more stabilized deal.

Answer:

A, 11

Step-by-step explanation:

Explanation: if you ignore the annual and just multiply both hourly by 10 and add the annually after they are both equivalent to 190 and since B costs less from 11 hours and beyond B will cost less.

HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?

Answers

Answer:

Please explain your question better.

Step-by-step explanation:

60 - 720 = 660

660 divided by 12 = 55

Answer:

60

Step-by-step explanation:

$720 divided by $12 is 60.

I don't think I did this right.

Nope prolly not

Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)

Answers

Answer: y - 3 = -1/5(x+5)

Step-by-step explanation:

Hope this helps

IN THE CENTRAL CITY GRAND PRIX, OUT OF 50 CARS THAT STARTED THE RACE, 12
OF THEM FINISHED. WHAT PERCENT OF THE CARS FINISHED THE RACE? WHAT
PERCENT DID NOT FINISH THE RACE?
I need a step by step explanation please !!!

Answers

Answer:

24% finished, 76% did not

Step-by-step explanation:

12cars/50 total +24%, and then just subtract 100% by the 24 to get 76% for the remaining percent

Answer:

24% finished and 76% did not

Step-by-step explanation:

you have the ratios:

12/50 and 38/50

These have to be turned into percentages so they need to have a denominator of 100

to do this, figure out what you have to multiply the denominator by to get 100

In this case, 50 times 2 is equivalent to 100.

Then, whatever you multiplied the denominator by, you multiply the numerator by

In this case, 12 times 2 is 24 and 38 times 2 is 76

Once you have the end products, take the numerator and add a percentage sign to it

Chat me if you have anymore questions

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