Decide which other to give him prices is better and explain why. Storage locker A rents for $32/yd2 per month. Storage locker B rents for $1.58/ ft2 per week. Assume 1 month = 4 weeks. Which one is better and why.

The amount that would be in the account when Jackson is 40 years old with continuous compounding is $74,044.49.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

$6000 x e^0.028 x 12 = $74,044.49

To learn more about continuous compounding, please check: https://brainly.com/question/26476328

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Answer:

12cm

Step-by-step explanation:

This is a problem which can be solved with the pythagoras therom.

[tex]a^{2} +b^{2} =c^{2}[/tex]

Plus we can split this triangle into two triangles.

The split triangle has dimensions of 13(bc) by 5 cm(dc).[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]5^{2} +b^{2} =13^{2}[/tex]

Now we solve for b which is the lenght of bd

[tex]25 +b^{2} =169[/tex]

[tex]b^{2} =144[/tex]

[tex]b = \sqrt{144}[/tex]

[tex]b = 12[/tex]

Therefore the lenght of bd is 12cm

Hope this helps! :)

Answer:

Using the exact probabilities from the binomial we can find the probability of obtaining 18 or more successes out of 20 trials.

hope it helps!

Answer:

6/11

Step-by-step explanation:

count how many numbers there are 11

count how many numbers you have that are less than 4 or odd

put that number over the total

simplify if possible

Answer:

7.2 hrs

Step-by-step explanation:

26.1 / 7.25  * 2 =

Answer:

i am from afghanistan and you

Step-by-step explanation:

Answer:

To find the mean, you must add up all of the numbers in the data set and then divide them by the amount of numbers there are.

Step-by-step explanation:

For example:

1, 2, 3, 4, 5

To find the mean, we first add up all of these numbers:

1 + 2 + 3 + 4 + 5 = 15

Next, since there are 5 total numbers here, we divide their sum by 5:

15/5 = 3

That is how we get the mean (or average) of the data set.

Answer:

$308

Step-by-step explanation:

Hope this helped! :)

If this is wrong please comment below! :)

Thx!

Answer:

110

Step-by-step explanation:

it is 110 because it is the number in the middle of the data set.

Answer:

1p 2p 2p 2p 5p 5p 10p

Step-by-step explanation:

Available coins that are less than 11p:  1p 2p 5p 10p

11p with two coins ⇒ 1p + 10p only

11p with three coins ⇒ 1p + 5p + 5p only

11p with three coins ⇒ 2p + 2p + 2p + 5p only

Therefore, the seven coins that Luke has are:

1p 2p 2p 2p 5p 5p 10p

The answer is going to be c

Answer:

I believe it's C) 0.8125

Step-by-step explanation:

I’m sorry I don’t know how to explain it step by step

Answer:

Read explanation.

Step-by-step explanation:

The dilation is by a sf (of 6)

This means that to find P'Q', you do 3*6 which is 18

To find N'Q, you do 9*6 which is 54.

Answer:

less!

Step-by-step explanation:

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

soooooo that in mind! maria earned more than billy!

Answer:

D

Step-by-step explanation:

Answer:

60+0.5x <= 180

0.5x <= 120

x <= 240 miles

Step-by-step explanation:

Answer:

D. 27 units

Step-by-step explanation:

27 is greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.

Answer:

The stick hits the ground 2.37 seconds after it is dropped.

Step-by-step explanation:

Your function is incorrect.

I will assume that the correct function is

h = -16t² + 90

When the stick hits the ground, its height is 0.

We are looking for the value of t, time, when h = 0.

Set h = 0, and solve for t.

h = -16t² + 90

-16t² + 90 = 0

-16t² = -90

t² = 5.625

t = 2.37

The stick hits the ground 2.37 seconds after it is dropped.

Answer:

30

Step-by-step explanation:

30/5 = 6

Answer:23.6ft

Step-by-step explanation:

SOHCAHTOA

sin(80)=(o/24)

Multiply both sides by 24 and 24 on the right side will cancel out.

24sin(80)=23.6ft

The height of the wall where the ladder reaches will be 23.64 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

sin 80° = h / 24

h = 24 x sin80°

h = 23.64 feet

The height of the wall where the ladder reaches will be 23.64 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

[tex]\frac{x+4}{-5}[/tex] = y  can be rewritten as [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

4. Write in inverse notation:

f(x) = [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Therefore, B is the answer.

Step-by-step explanation:

a = original number of adult tickets

c = original number of child tickets

a/c = 2/5

a = 2c/5

(a+70)/(c+300) = 1/3

(2c/5 + 70)/(c + 300) = 1/3

2c/5 + 70 = (c + 300)/3

2c + 350 = 5(c + 300)/3

6c + 1050 = 5(c + 300) = 5c + 1500

c = 450

a = 2c/5 = 2×450/5 = 2×90 = 180

Joshua sold therefore in total

180 + 70 = 250 adult tickets.

and by the way

450 + 300 = 750 child tickets.

A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

Set is defined as the arrangement of elements. They can be represented using the venn diagram.

Given the following sets

U = {x: x is an integer and 2≤x≤10} = {3, 4, 5, 6, 7, 8, 9}
A = {x: 2x+1>7} = {x > 3}

B={x: x^2>20} = {x >± 20}

From the set, can see that A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

Learn more on sets here: https://brainly.com/question/13458417

Answer:

2 and 4

Step-by-step explanation:

Because the graph lines go straight across instead of up and that means there was no snow fall so that is the least amount of snowfall.

Your welcome :)

Answer:

I believe the period is 1. Because if it was y= sin2 (2(x-1/2) then the period would be 2.

[tex]x - 2y > - 12[/tex]

[tex] - 2y > - x - 12[/tex]

[tex]2y < x + 12[/tex]

[tex]y < \frac{x}{2} + 6[/tex]

[tex]plot \: the \: line \: of \: eq \: y = \frac{x}{2} + 6[/tex]

[tex]0 < \frac{0}{2} + 6[/tex]

[tex]0 < 6 \\ true[/tex]

If x is in quadrant I, then both sin(x) and cos(x) are positive. The angle x/2 also belongs to quadrant I, and hence each of sin(x/2), cos(x/2), and tan(x/2) are positive.

Recall that for all x,

cos²(x) + sin²(x) = 1

and multiplying through both sides by 1/cos²(x) = sec²(x) gives another flavor of this identity,

1 + tan²(x) = sec²(x)

It follows that

sec(x) = √(1 + tan²(x)) = √937/19

which immediately gives us

cos(x) = 19/√937

and from the identity above we find

sin(x) = √(1 - cos²(x)) = 24/√937

Recall the half angle identity for cos :

cos²(x) = (1 + cos(2x))/2

which means

cos(x/2) = + √[(1 + cos(x))/2] = √[1/2 + 19/(2√937)]

Then

sin(x/2) = + √(1 - cos²(x/2)) = √[1/2 - 19/(2 √937)]

and by definition of tan,

tan(x/2) = sin(x/2) / cos(x/2) = 1/12 √[649/2 - 19 √937/2]

Just to be clear, the solutions are

[tex]\cos\left(\dfrac x2\right) = \sqrt{\dfrac12 + \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\sin\left(\dfrac x2\right) = \sqrt{\dfrac12 - \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\tan\left(\dfrac x2\right) = \dfrac1{12} \sqrt{\dfrac{649 - 19\sqrt{937}}2}[/tex]

Answer:

117.29 cubic feet

Step-by-step explanation:

* means multiplied by

V=π*r^2*(h/3)

V=π*4^2*(7/3)

V=3.14*16*(7/3)

V≈117.29

Answer:

8 and below

Step-by-step explanation:

Everything below 9

Answer:

Any real number less than or equal to 8;

for example:

8, 7, -100, π

Answer:

970,060

Step-by-step explanation:

i think this is correct-

Edit: i just realised the number was 907,060 ._.

976

Step-by-step explanation:

Answer:

What are the numbers in the parentheses?