Answer:
$8 is the independent variable. The amount he earns is the dependent variable.
Step-by-step explanation:
No matter what he is making $8 an hour is a constant. While how much he makes is dependent on how much he works.
can someone please help me with this question? thankyou!
This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Show your work.
Answer: 1%
Step-by-step explanation:
Let x be the sale price.
Commission = 6.5% of x = 0.065x (Before discount)
Discount amount = 10% of x = 0.1x
Final sales price = x- 0.1x = 0.9x
Commission after discount = 6.5% of (0.9x)
= 0.065 (0.9x)
= 0.0585x
Loss = ( Commission before discount ) - (Commission after discount )
= 0.065x - 0.0585x
= 0.0065x
Loss percent = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]
Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.
The sales person lost a commission of 10%.
Let's assume that the price of the car is 1000. The commission the salesperson earns is $65(0.065 x 1000). The price of the car after the 10% discount is $900 (0.9 x 1000). The commission the salesperson earns on the discounted car is $58.5(0.065 x $900). The commission lost = (58.5 / 65) - 1 = 10%To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849
Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?
A.) $18,000
B.) $6,000
C.) $20
D.) $300
Answer: B.) $6,000
Step-by-step explanation:
The equation shows how much Jordan has to pay per month until he is finished paying the loan.
This is a linear equation in the form: y = mx + c
y is the amount left to be paid
m is the change per month which means it is the amount paid per month
x is the independent variable that is changed which means it is the no. of months
c is a constant figure which in this case would be the amount borrowed.
With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.
The original amount of loan must therefore be:
= $6,000
12 km
9 km
What is the length of the hypotenuse?
C =
kilometers
Answer: 13km
Step-by-step explanation:
how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://
Answer:
use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.
Divide 161 miles in the ratio 6:1
when she got in her car to drive to work,Mia had 11 1/2 gallons of gas in her tank. if she used 1/8 of the gas in her tank to get to work, how much gas does she have left?
If the value of 3/4÷x is a whole number, which number is the value of x ?
Answer:
1/8
Step-by-step explanation:
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
HELP I NEED HELP ASAP
QUICK PLEASE!!!!!
please solve this for me thanks
Answer:
2.5
Step-by-step explanation:
FG is the exact same as FE which is 2.5.
Help please with this problem!
Answer: B.
Step-by-step explanation:
4x + 8y = 2(4y + 2x)
Answer:
B
Step-by-step explanation:
A. 4 (2x + y)
8x + 4y ( So not this! )
B. 2(4y + 2x)
8y + 4x ( This is right! )
C. 4(2x + 4y)
8x + 16y ( So not this! )
D. 8 (y + 2x)
8y + 16x ( So not this! )
8g - 5g =24.
(For a test)
Answer:
8g-5g=24.
We move all terms to the left:
8g-5g-(24.)=0
We add all the numbers together, and all the variables
8g-5g-24=0
We add all the numbers together, and all the variables
3g-24=0
We move all terms containing g to the left, all other terms to the right
3g=24
g=24/3
g=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8g-5g=24
8-5=3
3g=24
3g/3=24/3
g=8
Help plssss! What is the volume of this composite solid?
Answer:
B.
(づ ̄ ³ ̄)づHave A nice day Cute Sir
Answer:
Step-by-step explanation:
160
help meeeeeeeeeeee
pls
Answer:
with what lol?
Step-by-step explanation:
Answer:
with what
Step-by-step explanation: ican help
The house was bought for $125,000 in 1990, the overage rate is 7.85%, what year will the purchase of the house be worth 3 times the purchase price?
Answer: 2005
Step-by-step explanation:
Exponential function to determine the value of item after t years,
[tex]f(x)=A(1+r)^t[/tex] , where r= rate of growth, A=Initial value.
As per given , A = 7.85% = 0.0785
A = $125,000
Substitute all values in function, we get
[tex]f(x)=125000(1+0.785)^t[/tex]
When f(x)= 3A , then
[tex]3A=A(1.0785)^t\\\\\Rightarrow\ 3=(1.0785)^t[/tex]
Taking tog on both sides , we get
[tex]\ln 3=t\ln 1.0785\\\\\Rightarrow\ t=\dfrac{\ln 3}{\ln 1.0785}\\\\\Rightarrow t=\dfrac{1.09861228867}{0.0755711868471}\approx15[/tex]
The year will be 1990+15= 2005
Hence, the required year = 2005
Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question example is $750, 7%, 3 years.
Answer:
750/100 X 7 = 52.50
52.50 X 3 = $157.50
Step-by-step explanation:
divide principal amount by 100 then multiply by interest percentage. this gave 52.50
now multiply the interest amount by number of years
in this case 3
52.50 X 3 = $157.50
can you help me please ??
Answer:
25 pages.
Step-by-step explanation:
all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.
HELP I WILL GIVE YOU 20 POINTS
I need help.... Quickly!
Answer:
Rectangle Y.
Step-by-step explanation:
Find the perimeter of both rectangles.
If you want to find rectangle X, the breadth of the rectangle but the length of it isn't the same since it has been shortened, and since it covers half of the card for length...
Length = 14 ÷ 2 = 7cm
Perimeter = 6cm + 6cm + 7cm + 7cm = 26cm (Rectangle X)
Now, let's find perimeter for rectangle Y.
The length for the rectangle is the same as it isn't shortened or anything else, but the breadth is different as it have been shortened, since it covers half of the card for breadth...
Breadth = 6 ÷ 2 = 3cm
Perimeter = 3cm + 3cm + 14cm + 14cm = 34cm
(Rectangle Y)
Explaination: Rectangle Y will have the longer perimeter, (add in the solution that I wrote for rectangle X and Y)
(3х + 4) - (х + 2) =
The answer to (3x + 4) - (x + 2) is
2(x + 3).
(3x + 4) - (x + 2) = 2(x+3)
Answer:
2x + 2 is the answer.....
Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.
Answer:
Mr Lee gets 9kg
Mrs Scarlett gets 6kg
Step-by-step explanation:
First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.
We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient
15kg/10 = 1.5kg
This means that each person gets 1.5 kg of chocolate.
Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:
6*1.5kg = 9kg
And Mrs Scarlett will get the remaining, that is:
15kg - 9kg = 6kg
Mrs Scarlett will get 6kg of chocolate.
A farming community begins with one resident. Then every year, the number of residents multiplies by 10 Write an expression using an exponent to
represent the number of residents in the community after 5 years
Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
Another student bought 4 notebooks at $1.30 each and a dictionary for $15.50. The sales tax is 3%. What was the total cost?
It's $21.32 <3 hope this helps!
Please help!! worth 20 points !!
Answer:
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = [tex]\frac{22}{7}[/tex]
C = [tex]\frac{22}{7}[/tex] * 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = \frac{22}{7}
7
22
C = \frac{22}{7}
7
22
* 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
If a square shaped napkin had a side length of 9 inches what is the area of the Napkin?
Answer:
81
Step-by-step explanation:
its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81
Please help don’t know answer
Answer: y= X+3
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y- intercept
a certain coin is a circle with a diameter of 18mm. What is the exact area of either face of the coin in terms of pi (3.14)
Answer:
254.34 mm².
Step-by-step explanation:
For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.
[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]
Therefore, the area of either face of the coin is 254.34 mm².
I hope this helps!
a num
A retailer purchased a photocopy machine for Rs 1.60,000 from a dealer. Helshe
spent Rs 2,500 for transportation and Rs 1,500 for the local tax. If he/she sold it at
a profit of Rs 6,000 to a customer, how much did the customer pay for it with 13%
VAT?
b number
A supplier sold a machine levying 13% VAT on Rs 3,20,000 to a retailer. The
retailer spent Rs 10,000 for transportation and Rs 5,000 for the local tax. If the
retailer sold it at a profit of Rs 15,000 to a customer, how much did the customer
pay for the machine with 13% VAT?
Answer:
answer is rs 192100ra 395500
Please help! Thank you! :D Giving brainlest
Answer:
H ≤ -2.4
Step-by-step explanation:
dark line pointing left at -24