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Hunter-Best [27]

3 years ago

7

Mr & mrs have $5170 total in bank.. at end of month, mr deposits $450 & mrs deposits $626 into her account. they now hav

e an equal amount of money in their accounts? how much money did each of them have at first?

1 answer:

Valentin [98]3 years ago

4 0

$5170.00+$450.00+$626.00 DIVIDED BY 2

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Find the Area of the figure below, composed of an isoceles trapezoid and one

MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can find the total area dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then

step one

find the area of the isosceles trapezoid using

$A=\frac{a+b}{2}*h$

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

$A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14$

Step two

find the area of the semicircle

the area of a circle is given by

$A_{c}=\pi \frac{d^{2}}{4}\\$

but, we need the area of half circle, we need divide this by 2

$A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}$

now the diameter of the semicircle is 2, put this value into the equation

$A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\$

find the total area

total area= area of the trapezoid +area of the semicircle

$total\ area= 14+\frac{\pi }{2} \\total\ area=15.6$

so, the total area is 15.6 square units

Have a good day.

5 0

3 years ago

Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight

gulaghasi [49]

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
Coefficient of determination, $r^2$ , is a measure of variability in one variable can be explained variation in the other.

Here, r= 0.80

$\Rightarrow\ r^2= (0.80)^2=0.64$

That means 64% of the variability in weight can be explained by the relationship with height.

8 0

3 years ago

-4 1/2 ÷ (-2 2/3)<br><br> I need it as a mixed number in simplified form.

Leya [2.2K]

(-4 1/2) / (-2 2/3) =.....turn to improper fractions
(- 9/2) / (-8/3) =...when dividing fractions, flip what u r dividing by, then multiply

-9/2 * -3/8 =
27/16 =
1 11/16 <==

4 0

3 years ago

Please I need the answer quickly

USPshnik [31]

Well, for number 15, this is what I came up with, I hope it is what your teacher is looking for:
So it starts out with 3 butterflies, and it doubles every minute:
3x2 = 6 That is for the first minute
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24x2 = 48 That is for the fourth minute

So, It asks for using the power of 2 in your answer, that is what I came up with for part A.

For part B I would say something like this:

X represents the number of butterflies left.
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3 years ago

An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare t

Lyrx [107]

Answer:

The answer is "6.3 and 5.25"

Step-by-step explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

$(0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\$

Formula for Calculating slope:

$M=\frac{y_2-y_1}{x_2-x_1}$

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8 0

3 years ago