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3241004551 [841]

2 years ago

8

A camera has listed a price of $687.99 before tax. If the sales tax rate is 9.25% find the total cost of the camera with sales t

ax

1 answer:

sergiy2304 [10]2 years ago

7 0

Answer:

$ 751.63

Step-by-step explanation:

1) To find 9.25% of $687.99, multiply both of them. 687.99 x 0.0925 = 63.64

2) Add the previous number to the original price of the camera, 687.99 + 63.64 = $751.63

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If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.

zhannawk [14.2K]

Answer:

$h= 2x$

Step-by-step explanation:

Given

Square

$Side = x$

Triangle

$Base = x$

$Altitude = h$

Required

Find h, if both shapes have the same area

The area of the square is:

$Area = x * x$

$Area = x^2$

The area of the triangle is:

$Area = \frac{1}{2} * Base*Height$

$Area = \frac{1}{2} * x*h$

Equate both areas

$x^2 = \frac{1}{2} * x*h$

Divide both sides by x

$x = \frac{1}{2} *h$

Multiply both sides by 2

$2*x = \frac{1}{2} *h*2$

$2x = h$

$h= 2x$

3 0

2 years ago

A national survey interviewed 3800 people ages 18 and older nationwide by telephone. One question asked was the amount of gasoli

NeTakaya

Answer:

For this case a parameter represent the population data and for this case the parameter would be the true mean $\mu$ who represent the amount of gasoline they used in the previous week

$\bar X= \frac{\sum_{i=1}^n X_i}{3800} =11.75$

And the sample mean is an unbiased estimator of the true mean.

Step-by-step explanation:

For this case a parameter represent the population data and for this case the parameter would be the true mean $\mu$ who represent the amount of gasoline they used in the previous week

And in order to estimate the parameter of interest we use a survey of n =3800 and the sample mean who represent an statistic is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And we got:

$\bar X= \frac{\sum_{i=1}^n X_i}{3800} =11.75$

And the sample mean is an unbiased estimator of the true mean.

4 0

3 years ago

Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcak

mojhsa [17]

9514 1404 393

Answer:

A) t = 0.25c +25

B) c = 52

C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

0.25c

In addition, she is paid $25, so her total amount she is paid is ...

t = 0.25c +25

__

B. In order to earn $38, the number of cupcakes sold must be ...

38 = 0.25c +25

13 = 0.25c . . . . . . subtract 25

52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

__

C. On one of the average weekdays, Ella could be expected to earn ...

t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

8 0

2 years ago

If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50

Fed [463]

Lets use the formula $RWT=J$ to solve this, where,

R is the rate
W is the number of workers/things
T is time
J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

$R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1$

<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use $R=0.1$ (previously found) to figure out T.</em>

<em> $RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10$ </em>

So it will take 10 seconds for 50 printers to print 50 pages.

ANSWER: 10 seconds

4 0

3 years ago

Read 2 more answers

I need help with this!

Viefleur [7K]

Answer:

the answer is option E.

Step-by-step explanation:

it is in the form f/g (x).

we know f and g from the equation;

we can rewrite it as, (√(9-x^2)/(3x-1))

if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.

on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.

this means that option E is the right one that satisfies the condition. it means the domain is [-3, 1/3) U (1/3, 3] .

4 0

2 years ago