A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.



The manager recognizes that the data approximates a transformation of the parent sine function, .

Which value is closest to the amplitude of the transformed function?

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

Answer:

I think that actually all of them represent a function , except D .

hope it was helpful .

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

Answer:

Answer is D!

Step-by-step explanation:

y=-3x-2

Substitute x and y values and check

-3(-2) = 6 - 2 = 4

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

Answer:

$52.50 (rounded)

Step-by-step explanation:

I = Prt

I = 154.4(.085)(4)

I = 52.496

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

Answer:

100/25 = 4

so an equivalent would be 12/3

Answer and Step-by-step explanation:

100 divided by 25 is equal to 4., or [tex]\frac{4}{1}[/tex].

That is equivalent to [tex]\frac{100}{25}[/tex].

#teamtrees #PAW (Plant And Water)

Mi Gusta

Answer:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

No solution

Step-by-step explanation:

Answer:

Im not sure how to solve by addition but if you solve its it is no solution

Step-by-step explanation:

Hope this helps

Answer:

500 + 3(s) ≥ 1200

Step-by-step explanation:

Ok so the goal is to earn 1,200 / month

We know that she already earns 500/month

So lets do some subtraction

Because she needs to make ATLEAST 1,200, well use either ≤ or ≥

Lets call (s) the number of sales she makes

Lets form the inequality

500 + 3(s) ≥ 1200

If my answer is incorrect, pls correct me!

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-Chetan K

SAS, I guess (side angle side)

Step-by-step explanation:

Since AM=BC then AM+MB=MB+BN.

Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent

Answer:

B. SAS (Side Angle Side)

Step-by-step explanation:

its right on E2020

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:

22 mph

Step-by-step explanation:

83.6 miles

3.8 hours

83.6/3.8 = 22 mph

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

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Answer:

x= 32

w=74

Step-by-step explanation:

my explanation is in the picture

The value of w and x in circle M below  mathematically given as

w = 74 , x = 32

Generally, the equation for the sum of angle of a triangle  is mathematically given as

w+x+c = 180

w+a = 106

w+x = 106

therefore,

106 +c = 180

c = 180-106

c = 74

w = 74

thus,

w+x+c = 180

74 + x + 74 = 180

x = 180 -148

x = 32

In conclusion, the value of w and x in circle M below is

w = 74 , x = 32

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Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!

Answer:

20

Step-by-step explanation:

Just write down the answer.

Answer:

Step-by-step explanation:

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

Answer:

4(2a + b)

and

8a + 4b

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

8a+4b

4(2a+b)

hope this helps

Answer:

approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101

Answer:

B

Step-by-step explanation:

The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.

Answer:

It depends were you are looking from but there is shows D. Oval so ig thats

the answer

Answer: A

Step-by-step explanation: Because you multiple 5m by 1/12?

If the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

i.e. Slope  [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]

We have,

The ramp has a slope of  [tex]\frac{1}{12}[/tex],

Horizontal length of [tex]5m[/tex]

Height of ramp [tex]=x[/tex]

So,

Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]

        [tex]\frac{H}{5} =\frac{1}{12}[/tex]

      [tex]H=\frac{5}{12}[/tex]

       [tex]H=0.4 \ m[/tex]

So, the Height of the ramp is [tex]0.4 \ m[/tex] .

Hence, we can say that if the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

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Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]