As a result of inflation, the purchasing power of a fixed quantity of money decreases by 5% every year. If a certain quantity of money can buy 940 frozen dinners this year, how many frozen dinners can it buy in 16 years?

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:

7.2 hrs

Step-by-step explanation:

26.1 / 7.25  * 2 =

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

Answer:

60+0.5x <= 180

0.5x <= 120

x <= 240 miles

Step-by-step explanation:

Answer:

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

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

[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]

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:

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

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.

Answer:

30

Step-by-step explanation:

30/5 = 6

Answer:

$308

Step-by-step explanation:

Hope this helped! :)

If this is wrong please comment below! :)

Thx!

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! :)

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:

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:

i am from afghanistan and you

Step-by-step explanation:

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:

110

Step-by-step explanation:

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

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:

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: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

#SPJ2

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:

D

Step-by-step explanation:

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.

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!

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

#SPJ1

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

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:

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?