Joan must save at least $500 to open a savings account. She saves $80 each month toward her goal. What is the fewest number of months before Joan can open the account?

A. 5 months
B. 6 months
C. 7 months
D. 8 months

Answer:

See below ~

Step-by-step explanation:

Combination Rule

#1) ²²C₂₀

#2) ¹²C₈

Answer:

[tex]\displaystyle ^{22}C_{20} =231[/tex]

[tex]\displaystyle ^{12}C_{8} =495[/tex]

Step-by-step explanation:

Binomial Coefficients

[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]

[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]

[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]

The most number of participants fall on the age bracket of 37-39.

hope this helps

Answer:

A. E

B. D

C. A

Trust me on this one! I used a calculator.

Answer:

56.35 meters squared

Step-by-step explanation:

lmk if its inches

Answer:

Step-by-step explana what grade math is this?

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

The given parameters are:

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

Answer: [tex]2^4,4^2,16^1[/tex]

Step-by-step explanation:

Let's evaluate each expression

Remember the little number that is the exponent means to multiply that number by itself that amount of times

[tex]8^2=[/tex]8×8=64 this is not 16

[tex]2^4=[/tex]2×2×2×2=4×4=16

[tex]2^8[/tex] we already know [tex]2^4[/tex] was enough so this must be over 16 and incorrect

[tex]4^2=[/tex]4×4=16

[tex]16^1[/tex]=16

Answer:

B. Function A has a vertical asymptote at x = 1.

Function B has a vertical asymptote at x=−3.

Step-by-step explanation:

You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.

The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.

The following data for the Week and miles run variables are provided to construct linear regression model:

Week miles run

      1    5

      2    8

      4    13

     6    15

     8    19

    10    20

The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:

Let week = x, and miles run = y, then we get this table:

              x      y      xy    [tex]x^2[/tex]     [tex]y^2[/tex]

----------------------------------------------------

             1       5       5      1      25

             2      8       16    4     64

             4      13      52   16   169

             6     15       90   36  225

            8      19      152   64  361

           10     20     200  100 400

-----------------------------------------------------

Sum =  31   80    515   221  1244

Based on the above table, the following is calculated:

[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]

[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]

[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]

[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]

[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]

[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]

Therefore, we find that the regression equation is:

miles run = 4.6986 + 1.6712 Week

y = 4.6986 + 1.6712x (approximately)

To the thousandths place, it becomes:

y = 4.699 + 1.671x

Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.

Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Learn more about linear regression here:

https://brainly.com/question/18854090

Answer:

y-1.671

4.699

Step-by-step explanation:

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Circumference

Answer: it’s 13

Step-by-step explanation:

I just took the Unit Test On Edge2022

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]

the true equation

let the unknown be y

[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]

[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]

[tex]y = 75000 - 5000[/tex]

[tex]y = 70000[/tex]

[tex]y = 7 \times {10}^{4} [/tex]

therefore, the correct answer is option D

Answer:

B is correct

I = (5200)(0.06)(2.5)

Step-by-step explanation:

Brainliest would be very much appreciated

The improper fraction is 45/8.

Answer:

45/8

Step-by-step explanation:

to get an improper fraction, you multiply the denominator by the whole number and add the numerator to the total. So for this problem 5(8)=40+5= 45/8

Answer:

729 square inches

Step-by-step explanation:

9^3 or 9×9×9

(im not sure but i think thats it)

a=45

Hope it helps.

Do comment if you have any query.

Answer:  her pay was $799.92

Step-by-step explanation:

multiply the number of hours she worked by her pay per hour:

22.22(36)

= 799.92

Answer:

given:

hours worked=36hours

payment per hour=$22.22

to find:

payment in a week

solution: 22.22×36

=799.92$

ans:her total pay for a 36 hour week is $799.92

We need the volume

Volume:-

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = [tex]3.3^3 = 35.937ft^3[/tex]

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

Step-by-step explanation:

the formulas can be easily found on the internet.

remember, the diameter of a circle is 2 times the radius.

so, the radius of our circle here is 4/2 = 2 cm.

circumference :

2×pi×r = 2×3.14×2 = 12.56 cm

area :

pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²

hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !

so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

The population is all the people in the city, and sample is all the people who live on the block and are home that day.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.

According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.

If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.

Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.

Learn more about the population and sample here:

brainly.com/question/9295991

Answer:

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.

(A) or All the people in the city

the second part (C) or all the people who live on the block and are home that day

Step-by-step explanation:

got it right on edg

Answer:

A  5    is the distance between

Step-by-step explanation:

(-2 -2)^2   +  ( 0-3)^2 = d^2

d = 5

Answer:

Step-by-step explanation:

the answer is uniform

Answer:

Skewed right :)

Step-by-step explanation:

The most data points are to the left and there is barely any to the right. That is why it is skewed right :)

Have an amazing day!!

Please rate and mark brainliest!!

Credits to: hautauv!!!

Step-by-step explanation:

=> p=1(l+b)

=> P = 1l + 1b

=> 1l - P = 1b

=> b = 1l - P/1

~Done~

Or

p=1(l+b)

Step 1: Flip the equation.

b+l=p

Step 2: Add -l to both sides.

b+l+−l=p+−l

b=−l+p

Answer:

b=−l+p

Answer:

im not sure but i think this is the answer

Step-by-step explanation:

I think it would be 130 + 0.75m

Which simplified could be 130.75m Hope it helps! :)

0.75m - 20

[tex]130+0.75\left(m-200\right)\ =\ 0.75m-20[/tex]

[tex]0.75(m-200) + 130[/tex]

The slope is 0.75

Substitute m for 0 ( [tex]0.75(-200) + 130[/tex])

Evaluate the equation ( [tex]0.75(-200) + 130[/tex]) = -20, this is the y-intercept

now the equation is [tex]slope + intercept[/tex] = [tex]0.75 -20[/tex]

The graph that shows the proportional relationship y = 0.7x is Graph A.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer:

so the answer is tyrany because i love to talk aboutheaarts so this is waht happened

Step-by-step explanation:

x=8

Hope it helps.

Do comment if you have any query.

Answer:

8 + 10 = 18

Step-by-step explanation:

no need for explanation simple addition

Answer:

Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]

Triangle #1

[tex]21^2+x^2=29^2[/tex]

[tex]x^2=29^2-21^2[/tex]

[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]

Triangle #2

[tex]1.6^2+3.0^2=x^2[/tex]

[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]

Triangle #3

[tex]x^2+40^2=41^2[/tex]

[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]

I hope this helps!

Rate of change:-

Slope:-

So

Next time is off course 50 .

Price should be calculated

Option A✓

Check all

Option B:-

No

Option C

yes

Option D

Yes