A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?

I would say that statistics is a mathematical subject that allows you to explain scientific data. In a similar fashion, you could use mathematics to explain the various idea in physics as you can use statistics to interpret the results of experiments and the data collected.

Hope that helped!

Answer:

Recursive formula of an arithmetic sequence is given by the expression,

                          Tn=a+(n−1)d

                 Where, Tn= nth term

                              a= First term of the sequence

                              n= Number of term

                              d= Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are Tn=5n+2

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       Tn=a+(n−1)d

       Tn=7+(n−1)5

       Tn=5n+2

If n=6,

       Tn=7+(6−1)5

       Tn=7+25

Tn=32

Hope it helps !

Have a great day!

Based on the sum and the share value after the relevant number of years, Charlotte's share is $4,137.46 and Ali's share is $3,752.54.

This can be solved using the substitution method:

Alice share + Charlotte's share = 7,890

As + Cs = 7,890

As = Cs

(As x Future value factor, 5%, 8 years) = (Cs x Future value factor, 5%, 6 years)

(As x 1.47745) = (Cs x 1.3400)

Cs = (As x 1.47745) / 1.3400

Cs = As x 1.1025746

Slotting these back in the original formula gives:

As + (As x 1.1025746) = 7,890

2.1025746As = 7,890

,As = 7,890 / 2.1025746

= $3,752.54

Charlotte's share will be:

= 7,890 - 3,752.54

= $4,137.46

Find out more on the substitution method at https://brainly.com/question/190818.

Answer:

Using diagram from your another question .

Use Pythagorean theorem

[tex]\\ \rm\longmapsto AC^2=4^2+10^2=16+100=116[/tex]

[tex]\\ \rm\longmapsto AC=10.77[/tex]

Not satisfied (Close but we can't ignore 0.03)

Let required BC be x

[tex]\\ \rm\longmapsto \dfrac{x}{10.77}=cos20[/tex]

[tex]\\ \rm\longmapsto x=0.94(10.77)=10.124ft[/tex]

Camera should be shifted 0.124ft left

Answer:

32^3

Step-by-step explanation:

You are multiplying 32 3 times.

Answer:

6 hours.

Step-by-step explanation:

A day is 24 hours. So in this case, 3 quarters of a day will be 18 hours, half a day is 12 hours, and a quarter of a day will be 6 hours.

Answer:

6 hours

Step-by-step explanation:

1/4=6h

2/4=12h

3/4=18h

4/4=24h

Answer:

20.25

Step-by-step explanation:

7.5x 2.7

break it down 7.5x2=15

7.5x 0.7=5.25 add all together and when multiplying don't forget to move decimals over

Answer:

37 over 4

Step-by-step explanation:

Hi! I hope you're enjoying your day!

First, 9 times 1 is 9 (anything times 1 is itself)

Now, 9 over 4 is 9 divided by 4.

Is 9 divided by 4? Nope!

However, don't worry! The answer will be a fraction.

[tex]\bold{\displaystyle\frac{9}{4}}[/tex]

Can this fraction be reduced? No.

Why? Because 9 and 4 have no common factors, except 1.

And if you divide by 1, nothing will change.

Hence, the answer is

Improper Fraction: [tex]\boxed{\boxed{\bold{\displaystyle\frac{9}{4} }}}[/tex]

Mixed Number: [tex]\boxed{\boxed{\bold{2\frac{1}{4} }}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

Answer:

Point A would be at the coordinates, (-4, 1). Hope this helps!

Answer:

2/3

3/2

Step-by-step explanation:

Answer:

-82.9675 is the mean

Step-by-step explanation:

Hope this helps :) and if it doesn't I am sorry for disappointing you :(

Answer:

the answer is A im not sure tho

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

7.50 (nearest hundredth)

Step-by-step explanation:

General form of geometric progression:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

Given progression:

[tex]5\left(\dfrac13\right)^{n-1}[/tex]

Therefore:

Sum of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{(1-r)}[/tex]

Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:

[tex]\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}[/tex]

[tex]\implies S_{10}=7.499873987...[/tex]

[tex]\implies S_{10}=7.50 \textsf{ (nearest hundredth)}[/tex]

Answer:

-4

negative infinity

negative infinity

Step-by-step explanation:

Answer:

-4

negative infinity

negative infinity

Step-by-step explanation:

Answer:

60° each in equilateral triangle

Step-by-step explanation:

Hope this help you.

Answer:

135 degrees

Step-by-step explanation:

135 degrees form the interior angle of a regular octagon

Answer:

135°

I hope this helps you

:)

Answer:

Solution,

0.02×100=2

I think it will help you.

The product 0.02 x 100 = 0.02 x 10² =2

A number system is defined as a system of writing to express numbers.

The given is 0.02 x 100

We need to find the product of zero point zero two times of hundred.

This we can do by using the operation multiplication.

Multiplication is a method of finding the product of two or more numbers

We know that 100 we can write in the form of 10²

When 0.02 is multiplied with 10² we get 2

Hence, the product 0.02 x 100 = 0.02 x 10² =2

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

  7.50

Step-by-step explanation:

To evaluate an expression for particular values of the variables, put those variable values in place of the corresponding variable and evaluate the resulting numerical expression according to the Order of Operations.

  [tex]2x^2 +\dfrac{y^2}{3}\qquad\text{for x=1.5 and y=3}\\\\=2(1.5)^2+\dfrac{3^2}{3}\\\\=2(2.25)+\dfrac{9}{3}=4.50+3=\boxed{7.50}[/tex]

Answer:

C) 45-38

Step-by-step explanation:

The reason why this is your answer is because if we subtract, the answer is less than 12.

Thanks!

Answer:

How Can I answer this

Step-by-step explanation:

Read the example over and over again until u get it

Answer:

A) At least 1 Right angle

Step-by-step explanation:

As you can seel all the shapes here have atleast 1 right angle, but all the shapes don't have all the things that the other answer choices are saying.

So hence, your answer is A) At least 1 Right Angle

Thanks!

Mark me brainliest!

Answer:

312.3

Step-by-step explanation:

Answer:

~Y/n here~ I would think that the greater the slope the steeper the line. b is the slope of the line. So the slope means that a unit change in x, so the independent variable will result a change in y by the amount of b. Slope can show both steepness and direction in a linear function.

(Hope this helps!)

Answer:

A. 19.96.

I originally got: x = 19.957458 which I round up and got 19.96.

Step-by-step explanation:

Since the ball is going upwards, then down, we have a parabola.

In the form of

[tex] - {x}^{2} + bx + c = 0[/tex]

The leading coeffeicent is negative because we are increasing then decreasing.

Let use t for seconds and h is height.

So we have a function

[tex]h(t) = - {t}^{2} + b(t) + c[/tex]

Since I'm have no information: I'm use calculus and physics to solve this.

All objects fall at the speed of

[tex] - 9.8 \frac{m}{ {s}^{2} } [/tex]

Which is the unit for acclereation.

Since we have are trying to a poisition versus time function, note that the anti derivative of acclereation will give us velocity. So let calculate that

[tex] \frac{d}{dx} (a) = - 9.8x[/tex]

Then note that the anti derivative of velocity is poistion.

[tex] \frac{d}{dx} (v) = - 4.9 {x}^{2} [/tex]

So we know our leading coeffeicent, is -4.9x^2.

The ball is initially launched at a speed of 15 m/s. So the first derivative of the function at x=0, should be 15.

[tex] \frac{d}{dx} (x) = - 4.9 {x}^{2} + bx[/tex]

[tex]v = - 9.8x + b[/tex]

Since 0 times anything is 0, b must be 15 in order to have a first derivative of 15.

Since 0,1 is the y intercept, c will be 1.

So our answer is

[tex] - 4.9 {x}^{2} + 15x + 1 = 0[/tex]

b). When x=1, we get a height of 11.1. Plug in 1 into the function, and we get 11.1

c). Set the function equal to zero and use quadratic formula to solve. You will get 3.13 seconds.

d. The max occurs when the velocity is 0. So we can first differentiate the function, which we will get

[tex] - 9.8x + 15 = 0[/tex]

Then we solve for x.

We get 1.5 seconds. Then plug in 1.5 into the function, we get 12.5. So the max height is 12.5 and this occurs at 1.5 seconds.

e).

Answer:$0.81675

55/1000*$14.85=$0.81675

Step-by-step explanation:

Answer: 9 houses

Step-by-step explanation:

Step 1:

Since 2/3 of the houses were sold last month, 1/3 of them were left.

45 * 1/3 = 15 houses left last month

Step 2:

Since 2/5 of the remaining houses were sold this month, 3/5 of them were left

15 * 3/5 = 9 houses left to be sold

there's your answer hope this helps :)

Answer:

(number line is attached as a file)

Step-by-step explanation:

The blue indicates x<-1 and the red indicates x<3. The yellow indicates the solutions to this inequality. (Since this is an "or" problem, both areas of the red and blue can work)