PLEASE HELP

Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____

Answers

Answer 1

Answer:

(a) $62.92 saved in 25 weeks

(b) 41 weeks to save $100

Step-by-step explanation:

Given

[tex]y = 2.92 + 2.4x[/tex]

[tex]x \to weeks[/tex]

[tex]y \to savings[/tex]

Solving (a): Savings in 25 weeks.

This means that: x = 25

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]y = 2.92 + 2.4 * 25[/tex]

[tex]y = 2.92 + 60[/tex]

[tex]y = 62.92[/tex]

Solving (b): Whole weeks to save $100

This means that x = 100

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]100 = 2.92 + 2.4x[/tex]

Collect like terms

[tex]2.4x = 100 - 2.92[/tex]

[tex]2.4x = 97.08[/tex]

Solve for x

[tex]x = 97.08/2.4[/tex]

[tex]x = 40.45[/tex]

Round up

[tex]x = 41[/tex]


Related Questions

PLEASE SOMEONE HELP IM SO CLOSE TO BEING DONE FOR THE YEAR
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Answers

Answer:

Step-by-step explanation:

The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.

12 yd. 3 yd. 9 yd. 6 yd. Find the area of the shape. 39 square yards 56 square yards 72 square yards 106 square yards​

Answers

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

2. Which of the following is the formula in solving for the area of
a circle?
A. A= 2TTI B. A= T12
C.A= id D. A=2 TT12
2
Thodi​

Answers

Answer:

πr²

Step-by-step explanation:

Answer:

formula- TTr2

(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answers

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute?

Answers

HI HI HI HI HI HI HI IBI U 0odfbugfehhwsuydefbuy4bryfbusznxiebyfbeusbxyedyhnwsahzgedb cbd fcegv gjr

What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units

Answers

Answer:the answer is o.7.7

Step-by-step explanation:

The answer would be o7.7 units

If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54

Answers

Answer:
36
Explanation:

Answer:it’s -36

Step-by-step explanation:

What is the amplitude of the graph of y = 2sin(4x - 1) + 3 ?

Answers

Answer: 2

Step-by-step explanation:

The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

What is the graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

What is the amplitude of function?

A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.

Given the function of graph as :

y = 2sin(4x - 1) + 3

Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.

Where a is amplitude , d is vertical shift , c/b is phase shift

Amplitude (a): 2

Period: π/2

Phase Shift (c/b): 1/4 (1/4 to the right)

Vertical Shift (d) : 3

Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

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You randomly select 2 marbles from a mug containing 7 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting one blue marble and then one red marble when you do not replace the first marble before selecting the second marble than when you do replace the first marble before selecting the second marble? Express the answer as a fraction.

Answers

Answer:

Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44

Scenario 2: w/ replacement:  P(blue, then red) = (7/12)(3/12) = 7/48

Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2

Step-by-step explanation:

What is the GCF of 36x^2y and 18xy ^2?

Please i really need the answers

Answers

I’m going to show you the answer

(-1,-9) (8,-7) find the slope of the line through pair of points​

Answers

Answer:

the slope of line is m=2/9

Step-by-step explanation:

Hey can someone help me ? I’ll give brainliest !!

Answers

7 bc I’m so smart thank you ciaoooooo

Answer:

132 kilometers

Step-by-step explanation:

In ΔWXY, x = 32 inches, y = 96 inches and ∠W=16°. Find the area of ΔWXY, to the nearest square inch.

Answers

Answer:

Step-by-step explanation:

423

Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60

Answers

the answer would be C(

Answer:

I believe the answer is (A) 15.

Step-by-step explanation:

If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.

The measurement of a central angle is θ=240 degrees. Find the measurement of θ in radians.

Answers

Answer:

4.189 radians

Step-by-step explanation:

Given data

θ=240 degrees

Let us convert from  degrees to radians

Angle in Radian= Angle in degree* π/180

Substitute

Angle in Radian= 240* π/180

Angle in Radian= 4* π/3

Angle in Radian= 4* 3.142/3

Angle in Radian=12.568/3

Angle in Radian=4.189 radians

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Answers

Answer:

170

Step-by-step explanation:

Find X and Y. ( solve using picture)

Answers

y is 72 because it is 180-108=y

Step-by-step explanation:

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Answers

Answer:

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asap ​

Answers

8mx8m will not be enough room the average room for a dance floor is 15 x 15

Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =

Answers

y = 3/4x +b
5= 3/4*4 + b
5=3+b
b=2
y=3/4x+2

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

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Help will give Brainlyest if right

Answers

Answer:

-4 , 0 would be the answer your looking for I believe

in a group of 52 cards, how many different groups of 5 cards can you be dealt?

Answers

Answer:

10

Step-by-step explanation:

50 divided by 5 = 10 and the extra 2 are left out because we are finding how many groups of 5 we can get.

Complete the equation to show the relationship between the price and the weight w . P= _ w

Answers

Answer:

[tex]p = 0.3w[/tex]

Step-by-step explanation:

Given

[tex]w \to weight[/tex]

[tex]p \to price[/tex]

[tex](w,p) = (12,3.60)[/tex]

Required

The equation

First, we calculate the unit ratio (k)

This is calculated by dividing price by weight

[tex]k = p/w[/tex]

[tex]k = 3.60/12[/tex]

[tex]k = 0.3[/tex]

Recall that: [tex]k = p/w[/tex]

Make p the subject

[tex]p = kw[/tex]

Substitute [tex]k = 0.3[/tex]

[tex]p = 0.3w[/tex]

A circle has a sector with area \dfrac{17}{2}\pi 2 17 ​ πstart fraction, 17, divided by, 2, end fraction, pi and central angle of \purple{\dfrac{17}{9}\pi} 9 17 ​ πstart color #9d38bd, start fraction, 17, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the circle?

Answers

Answer:

The area of the circle is equal to [tex]9\pi[/tex].

Step-by-step explanation:

Given that,

The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]

The central angle is [tex]\dfrac{17}{9}\pi[/tex]

We need to find the area of circle.

We know that,

[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]

So, the area of the circle is equal to [tex]9\pi[/tex].

What would be the exponent of m if (m3)4

Answers

Answer:

16

Step-by-step explanation:

hope this helps

1/2 lbs of flour is put in a jar. If it fills 2/5 of the jar, what quantity of flour can jar?

Answers

Answer:

1 1/4 pounds

Step-by-step explanation:

1/2 ÷ 2/5 = 5/4

whats the answers??????????????

Answers

the arrows pointing to 36

All divided into 10 percent so the answers are as follow

A) 37

B) 6.4

C) 8.58

Combine like terms in 3x + 2y + 2x + 4y + 1

Answers

Answer: 5x+6y+1 is the answer

Step-by-step explanation: to combine like terms that have to have the same variable so you can add them so for example you have 3x+2x which is equal to 5x then 2y+4y which is = to 6y and you also have 1 that isn't adding to anything because the others have variables

Answer:

5x + 6y + 1

Step-by-step explanation:

You are also simplifing and collecting the like terms. 3x + 2x = 5x. So that goes first as it appears first in the equation. Secondly, 2y + 4y = 6y, and that adds on to the previous answer. So far we have 5x + 6y. Now just add te 1, as it has no like value.

Pleaseeee help me it’s a pre quiz and I’m alone with the teacher

Answers

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

Plz hurry find the surface area and volume to the nearest whole number

Answers

Answer:

87.96 or 88 - surface area

62.83 or 63 - volume

Step-by-step explanation:

Answer:

Surface area: 89 yd

Volume = 63 yd

Step-by-step explanation:

Surface area:

A=2πrh+2πr^2

=2·π·2·5+2·π·2^2

=87.96459

Volume:

V=πr2h

=π·22·5

=62.83185

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