Rochelle made three $25 withdrawals and then wrote a check for $100. If she started with $200 in her account, find the total amount she has left in her account in dollars.

Answer:

6*8 / (4-2) = 24

4*8 - (6+2) = 24

Step-by-step explanation:

For the first equation the parentheses are calculated first . Then the operations are done from left to right.

For the second the parentheses are worked out first , then the operations are done from left to right..

40% would be the answer because it has to equal 100% and 2/5 of it is 40%

[tex]2^{-10} = \frac{1}{2^{10}} = \frac{1}{1024}[/tex]

A negative power is equal to 1/that to the positive power.

Final answer:

2 to the -10th power equals 1/1024 or 0.0009765625 in decimal form. It is calculated by taking the reciprocal of 2 raised to the 10th power, following the rules of negative exponents.

Explanation:

The student is asking about 2 to the -10th power, which is a mathematical expression involving negative exponents. When dealing with negative exponents, it's important to remember that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, to calculate 2 to the -10th power, we use the following steps:

Identify the base (2) and the negative exponent (-10).

Understand that a negative exponent means the reciprocal is taken.

Calculate the reciprocal of the positive exponent: 2¹⁰.

Since 2¹⁰ is 1024, the reciprocal is 1 divided by 1024.

So, 2 to the -10th power equals 1/1024, which can also be written as 0.0009765625 in decimal form. This concept is crucial for understanding scientific notation, where negative exponents represent small numbers.

The answer is q - 10 times 6

This expression would equal to 8.

Answer:

8

Step-by-step explanation:

Answer:

29.31 cubic inches

Step-by-step explanation:

The dimension of the cylindrical mold is:

Radius (r) = 2 inches

Height of the cylinder (h)= 5 inches

The dimension of the sphere is:

Radius (r) = 2 inches

Lets calculate the amount of wax needed for the cylindrical candle:

A [tex]=\pi \times r^2\times h[/tex]

[tex]A=3.14\times 2^2\times 5=3.14\times 4\times 5=62.8[/tex] cubic inches

Now, lets calculate the amount of wax needed for the spherical mold:

[tex]A=\frac{4}{3}\times \pi \times r^3=\frac{4}{3}\times 3.14 \times (2)^3=\frac{4}{3}\times 3.14\times8=33.49[/tex] cubic inches

So the approximate difference in the amount of wax needed to make a candle from each of these molds is given by:

Amount of wax for the spherical mold subtracted by the amount of wax for cylindrical mold:

[tex]62.80-33.49=29.31[/tex] cubic inches

So the approximate difference in the amount of wax is 29.31 cubic inches.

Answer:

29.31

Step-by-step explanation:

No.

|y| = x isn't a function because it doesn't pass the vertical-line test. If you need more clarification, please let me know :)

21 miles per hour would be her miles per hour.

i think the answer is 5% compounded annually for 2 years.

                                              hope it helps

Answer:

Sami should invest in 1st case, to get the maximum money.

Step-by-step explanation:

Sami has $500 to invest.

We will use the compound interest formula :

[tex]A=p(1+r/n)^{nt}[/tex]

Case 1:

p = 500

r = 3% or 0.03

t = 4

n = 1

Putting the values in formula we get,

[tex]A=500(1+0.03/1)^{4}[/tex]

[tex]A=500(1.03)^{4}[/tex]

A = $562.75

Case 2:

p = 500

r = 4% or 0.04

n = 1

t = 3

Putting the values in formula we get,

[tex]A=500(1+0.04/1)^{3}[/tex]

[tex]A=500(1.04)^{3}[/tex]

A = $562.43

Case 3:

p = 500

r = 2.5% or 0.025

n = 3

t = 6

Putting the values in formula we get,

[tex]A=500(1+0.025/3)^{6}[/tex]

[tex]A=500(1.0083)^{6}[/tex]

A = $525.42

Case 4:

p = 500

r = 5% or 0.05

n = 1

t = 2

Putting the values in formula we get,

[tex]A=500(1+0.05/1)^{2}[/tex]

[tex]A=500(1.05)^{2}[/tex]

A = $551.25

Comparing all values we can see that case 1 has the highest amount.

Hence, Sami should invest in 1st case, to get the maximum money.

Answer:

Given:

What Ms. Rochelle is trying to do is to divide. So, to solve the problem we divide, but this division is not exact.

[tex]\frac{29}{6}=4\frac{5}{6}[/tex]

This means that there will be 4 groups of 6 students each, and one remaining smaller groups of 5 students, that's the meaning of the mixed number.

Therefore, Ms. Rochelle will have 4 groups of 6 students and 1 groups of 5 students, which sum 29 students in total.

100x^2−36=4(5x+3)(5x−3)

Answer:

[tex]9*10^{11}[/tex]

Step-by-step explanation:

we have

[tex](3*10^{6})*(3*10^{5})[/tex]

we know that

[tex](a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)}[/tex] -----> the bases are multiplied and the exponents are added up

so

in this problem

[tex](3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}[/tex]

[tex]=9*10^{11}[/tex]

Answer:

Step-by-step explanation:

1. B

2. C

The answer to the first is C

Second is B. Hope I'm not mistaken.

30x + 30y = 450

20x + 25y = 345

answer: 3 square ft per minute

The annual Income is 49,000 $.

It is required to find the family’s annual income.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Say, the annual income =x $

(32/100)*x=15680

x=15680*100/32

x =49,000 $

Therefore, the annual Income is 49,000 $

Learn more about arithmetic here:

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B. Is true. Because if you were to multiply the number you would get these answers.

Option: D is the correct answer.

The k-value is: [tex]\dfrac{-1}{4}[/tex]

The table of values of x and y are given as follows:

    x        y

   -4        1

    8       -2

    12      -3

    20      -5

We know that x and y are said to be in proportional with constant of proportionality k if there is a constant k such that:

       [tex]y=kx[/tex]

for different ordered pair (x,y)

Here for ordered pair (-4,1) we have:

[tex]1=k\times (-4)\\\\i.e.\\\\k=\dfrac{-1}{4}[/tex]

Similarly for all the  other ordered pair we get:

k is a constant and

[tex]k=\dfrac{-1}{4}[/tex]

    Hence, the answer is:

          Option: D

Answer: 1/2

Step-by-step explanation:

7

11

×

22

28

=

7 × 22

11 × 28

=

154

308

=

154 ÷ 154

308 ÷ 154

=

1/2

Let the person's arm length be = x

Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.

So, the inequality equation becomes:

[tex]20\leq1.2x\leq40[/tex]

This gives x=[tex]\frac{20}{1.2}=16.66[/tex] or [tex]16\frac{2}{3}[/tex]

or x=[tex]\frac{40}{1.2}[/tex]=33.33 or [tex]33\frac{1}{3}[/tex]

Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.

Answer:

Step-by-step explanation:

Let the arm length of tuxedo be x which varies from 20 inches to 40 inches.

If length of the sleeves is about 1.2 times a person's arm length.

Then the arm length of a person will be 1.2x.

Inequality for the arm length will be

20 < 1.2x < 40

Now we divide this inequality by 1.2

[tex]\frac{20}{1.2}<x<\frac{40}{1.2}[/tex]

16.67 < x < 33.33

This inequality represents the arm length of people having arm length between 16.67 and 33.33 inches.

tuxedo rental shop does not provide tuxedos to the persons having arm length less than 16.67 and greater than 33.33.

Solution: We are given:

Predicted Sales by Sameera [tex]=38[/tex]

Actual Sales by Sameera [tex]=28[/tex]

Now to find the Percent error, we have to use the below formula:

[tex]Percent-Error= \frac{|Predicted-value - Actual-value|}{Actual-value} \times 100 \%[/tex]

                       [tex]=\frac{|38-28|}{28} \times 100 \%[/tex]

                       [tex]=\frac{10}{28}\times 100 \%[/tex]

                       [tex]=35.71 \%[/tex]

Therefore, the percent error is [tex]35.71 \%[/tex]      

Answer:

c

Step-by-step explanation:

45, you substitute 3 in for k and multiply

Your answer would be the very first one since t would represent time(minutes) which is the x-axis, that's how you find the domain. And since your domain starts as a closed dot at 0 and ends as a closed dot at 14 t- 0<= t <= 14

Hope this was helpful :)

The answer is 7209.306

Look at where the line crosses the X axis.

Here we see it crosses -2

So your answer is A (-2, 0)

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

Thus, option [tex]1[/tex] is correct.

A point on the y-axis, through which the slope of the line passes, is called as intercept . The point at which the line crosses [tex]x[/tex]- axis is called [tex]x[/tex] intercept and the point at which the line crosses [tex]y[/tex] - axis is called [tex]y[/tex]  intercept .

According to the information provided by the graph,

The line crossed [tex]x[/tex]- axis at [tex]x = -2[/tex].

So, the intercepts of  [tex]x\\[/tex] axis will be [tex](-2,0)[/tex].

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

Learn more about intercepts here:

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An example that has no real solution could be an equation like:

-11x+4=-11x-11

Answer:

B. $76.86

Step-by-step explanation:

Step 1: Insurance premium is $0.33 per $100.

Step 2: In 279500, there are 2795 hundreds of dollar.

Step 3: find the premium.

2795*0.33 = 922.35

This is premium per year.

Step 4: There are 12 months in a year.

Therefore, his month mortgage payment = 922/35 = $76.86

Thank you.

I will try my best to assist you with your question.

4/9 to -2/9 = -2/3

Show work!

_____________________________

4/9 -4/9 = 0/9

0/9 + (-2/9) =-2/9

-4/9+-2/9= -6/9

-6/9=-2/3

The answer is -2/3

Hope I helped!

Good Luck!

Answer:

The answer is .4sqr ft

Step-by-step explanation:

That board is 2 feet by 4 feet:

Area = 2 x 4 = 8 sq. ft.

The hole will have an area that is 5% of this value.

8 sq. ft x 0.05 = 0.4 sq. ft.

Answer:

0.4 sq. ft.

That would be 24 inches the cornholes probability is due to the angles and geometric force. If you throw it at the 24 by 48 dimension of thee board the probability for it to actually go in is a small but more likely chance. if you tweak how hard you are tossing' it the more results you will get of width and distance from the hole. Eventually tho you will indefinitely get it in to the hole.