Find the perimeter of the rectangle. The drawing is
not to scale.
47 ft
57 ft

Answer:

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

Step-by-step explanation:

You know that her guaranteed salary is $500, and she also gets a commission that is 15% of her sales. So, the expression is

500 + 0.15x

Where x is total sales. When you are given $975 as her total sales, plug it in for x:

500 + 0.15(975)

500 + 146.25

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

the answer is 1097 because I calculated every single thing.

5/6÷(-2/3) is -1 1/4. Decimal form would be -1.25

Answer:

208 square feet

Step-by-step explanation:

Area (shaded) = Area (rectangle) - Area(triangle)

= (17 x 16) - 1/2(16 x 8)

= 16 (17 - 4)

= 16 (13)

= 208 square feet

Answer:

22

Step-by-step explanation:

a=larger number     b= smaller number

a=2b-10,  a+b=38

2b-10+b=38

3b=48

3b/3=48/3

b=16

a+16=38

a=38-16

a=22

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

Answer:

a factor of 4

Step-by-step explanation:

The equation is

[tex]500 (2) {2}^{t} [/tex]

Which can be simplified to

[tex]500 (4) {}^{t} [/tex]

Since 4 is the base, the constant factor is 4.

Answer:

1,6,14,21, and 42 are not prime numbers of 42.

Step-by-step explanation:

42
21x2(done)
7(done)x3(done)

2, 3, and 7 are prime numbers of 42

Answer:

6

Step-by-step explanation:

because prime numbers are numbers with two factors one and the number itself and 6 is having more than two factors.

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

The formula for the exponential function is:

[tex]y(t)=y(0)*(1+R)^t[/tex], where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  [tex]y=30*(1.003)^x[/tex].

When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                         %R=0.003*100=0.3%

Read more about the exponential function here:

https://brainly.com/question/8935549

The Carlos pay in service charges is $1721.3  

We have given that the Carlos took seven years to pay off his loan by making identical quarterly payments.

The loan had a principal of $22,375 and 5.49% interest, compounded quarterly.

P=22375 and interest rate =5.49%

Carlos paid a total of $28,821.67.  

We have to find how much did Carlos pay in service charges

First we find the monthly payment of the loan

The formula for monthly payment is,

[tex]M=\frac{amount}{discount}[/tex]

Discount factor

[tex]P=\frac{1-(1+i)^{-n}}{i} \\[/tex]

Where, Amount = $22,375 and r=0.0549 and compounded quarterly therefore n=4

[tex]i=r/n=0.0599/4[/tex]

i=0.0137

Time =7 years

[tex]n=4\times 7=28[/tex]

Now put all the values in above formula we get

[tex]P=\frac{1-(1+0.01372)^{-28}}{0.01372}\\\\P=\frac{1-(1+0.1372)^{-28}}{0.01372}\\\\P=\frac{1-0.6827}{0.01372}\\\\P=\frac{0.3172}{0.01372}\\\\P=23.11[/tex]

Monthly payment,

Use the value in the formula of monthly payment

[tex]M=\frac{22375}{23.1177}[/tex]

[tex]M=967.871[/tex]

The payment he has for for 7 years compounded quarterly that is  for 28

Therefore the payment,

[tex]Payment= 967.871 \times 28 = $27100.39[/tex]

[tex]Service charges = Total payment - payment[/tex]

                           [tex]= $28,821.67 - $27100.39[/tex]

                           [tex]= $1721.27[/tex]

Therefore, Carlos pay in service charges is $1721.3

To learn more about the monthly payment visit:

https://brainly.com/question/2151013

Answer:

a

Step-by-step explanation:

just took test on edge

Answer:

Yes because of the commutative property

Answer:

A

Step-by-step explanation:

the order does not matter just the numbers and signs

========================================================

Explanation:

A full circle of radius r has the circumference of

C = 2*pi*r

A semicircle will have us divide this value in half

2pi*r turns into pi*r

The curved distance along the top is roughly pi*r = pi*5 = 3.14*5 = 15.7 cm.

Add this onto the straight line distance along the bottom to arrive at 15.7+10 = 25.7 cm

Answer:

x = 7/4

Step-by-step explanation:

4x + 3 = 10

4x = 10 - 3

4x = 7

x = 7 ÷ 4

x = 7/4

hope that helps...

Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)

The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)

[tex]\tt{4x+3-3=10-3}[/tex]

[tex]\tt{4x=10-3}[/tex]

[tex]\tt{4x=7}[/tex]

Divide both sides by 4 in order to isolate x:

[tex]\tt{x=\frac{7}{4}[/tex]

Hope it helps!

Have an amazing day!

Good luck!

[tex]\tt{EnjoyingLife}[/tex]

Answer:

225 adult tickets 530 student tickets

Answer:

4.5 miles per hour

Step-by-step explanation:

you start with 18 = 4x

divide both sides by 4

and you get x = 4.5

very far, but it can come to beaches as well

Answer:

Step-by-step explanation

Perpendicular lines have slopes that are negative reciprocals of one another.

so, in this case, the given slope is 2.

The negative reciprocal of that would be -1/2.

so far, our equation looks like: y=-1/2x+b

now, take the point given to us, (-4,2) and plug it into the y and x values.

2= -1/2(-4) +b

2= b+2

b=0

Our y intercept is zero, so our final answer will be:

[tex]y=-\frac{1}{2} x[/tex]

Answer as a compound inequality: [tex]-4 \le y < 2[/tex]

Answer in interval notation:  [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have [tex]y \ge -4[/tex] which is the same as [tex]-4 \le y[/tex]

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that [tex]y < 2[/tex]

Combine [tex]-4 \le y[/tex] and [tex]y < 2[/tex] to get the compound inequality [tex]-4 \le y < 2[/tex]

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

Answer: 886.88

Explanation: 982.2-95.32=886.88 you take one from the hundreds place and add it to the tens, then you take from the tens place then add it to the ones. Then you take the ones place and add one to the tenths place

Answer:

[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]

# Jerry Don is here#

Answer:

(180-110)/7

Step-by-step explanation:

angles on a straight line add up to 180

Answer:

7 hours

Step-by-step explanation:

You would divide 289 by 17. You get 17. Then you would divide 119 by 17 and you get 7

Answer:

7 Hours of work to earn $119

Step-by-step explanation:

You would divide $289 by 17 hours to find your hourly wage. You would find the hourly wage to be $17 an hour. Then you would take $119 and divide it by $17, and you'll find the number 7, this is your hours of work you have to work to earn $119.

[tex] - 2x + 4y = 4[/tex]

[tex]2x + 8y = 8[/tex]

[tex]2x - 2x + 4y + 8y = 4 + 8[/tex]

[tex]12y = 12[/tex]

[tex]y = 1[/tex]

[tex]2x + 8(1) = 8[/tex]

[tex]2x + 8 \: = 8[/tex]

[tex]2x = 0[/tex]

[tex]x = 0[/tex]

[tex]a(0. \: .1)[/tex]

Answer:

False

Step-by-step explanation:

You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.

What the question is thats how to calculate the median.

Have a wonderful day!

From the definition of the range, we understood that the given statement is false.

The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".

We need to state whether the given statement is true or false.

The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:

R = Highest Value (H) - Lowest Value (L).

Therefore, from the definition of the range, we understood that the given statement is false.

To learn more about the range visit:

https://brainly.com/question/4135956.

#SPJ2

A simple algebra equation!

You have to replace each x with 4, so the equation would look like this:

-4·4+1.5·4-2.5-2·4-6.5

Evaluate the terms, you get:

-16+6-2.5-8-6.5

Then you add and subtract where needed:

-10-16 = -27

And that's the final answer!

ANSWER: 27

The inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.

As she has only $20. Thus, the inequality expression which can be used for this condition is,

[tex]1.20x+2.5\leq20[/tex]

Solve the above equation and find the value of x,

[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]

Divide both side with 1.20,

[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]

Hence, the number of cups she can Monica is 14.

Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Learn more about the inequality equation here:

https://brainly.com/question/17724536

Answer:

b

Step-by-step explanation:

Answer:

P V = N R T      ideal gas equation

V2 / V1 = T2 / T1       dividing equations

V2 = 397 cm^3 * (220 / 515) = 170 cm^3

Answer:

nope ummm a negative number times another negative is positive. whats your question tho?