Explain how to find 45% of a number

Which soap dispenser shows that 64% of its soap has been used?

masha68 [24]

Dispenser C is your answer

16/25 x 4/4 = 64/100

64/100 = 0.64, or 64%

Your answer is Dispenser C

hope this helps

7 0

3 years ago

Item 2 In a box-and-whisker plot, what fraction of the data is greater than the first quartile? Enter the fraction in simplified

Serga [27]

Answer:

3/4= 75 % of the data is greater than the first quartile in a box-and-whisker plot.

Step-by-step explanation:

75 % of the data is greater than the first quartile in a box-and-whisker plot.

The first quartile denoted by Q1 is the median of the lower half of the data set.

This means that 25% of the values lie in the first quartile and 75 % of the values lie above the first quartile.

In the box and whisker plot the longer box indicates the interquartile range whereas the sides represent the 1st and 3rd quartile. The first quartile is the region where the values start and increase to the interquartile range.

75 % means = 75/100 or 0.75 or 3/4

75/100= 15/20= 3/4

6 0

3 years ago

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde

valentina_108 [34]

Answer:

each payment = $214.20

Step-by-step explanation:

For ordinary annuity,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

Here, FVOA = $50,000

year, n = 14

Since the interest will be paid monthly, m = 12

interest rate, r = 4.5% = 0.045

PMT = ?

Putting all the values into the ordinary annuity formula,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

$50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x 233.4399

or, PMT = $50,000/233.4399

PMT = $214.19

or, monthly payment will be $214.20 (Nearest cent)

7 0

3 years ago

Can someone help me with this question?

elixir [45]

Answer:

A. the number of hours it takes for him to finish the race.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

3 0

3 years ago

Read 2 more answers

A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a

mezya [45]

Answer:

See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

$y=sin(x)$

That function has:

Midline, also known as rest or equilibrium position: y = 0
Minimum: - 1
Maximum: 1
Amplitude: the distance between a minimum or a maximum and the midline = 1
period: the interval of repetition of the function = 2π

The more general sine function is:

$y=Asin(Bx+C)+D$

That function has:

Midline: y = D (it is a vertical shift from the parent function)
Minimum: - A + D
Maximum: A + D
Amplitude: A
period: 2π/B
phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2

Amplitude, A = 3

midline y = - 1 ⇒ D = - 1

y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

$y=3sin(2x/\pi+C)-1$

Substitute (0, -1)

$-1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0$

Hence, the function to graph is:

$y=3sin(\pi x/2)-1$

To draw that function use this:

Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
Minima: 3(-1) - 1 = - 3 - 1 = -4
y-intercept: (0, - 1)
x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0

3 years ago