Answer:
-169
Step-by-step explanation: add 45 on both sides
Answer:
r=-169
Step-by-step explanation:
I hope it helped bro
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
HELP I NEED HELP ASAP
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)
$35 bill before tax
tax:5.8%
Tip:21%
Answer:
If tip goes only on amount but not on tax: $44.38
If tip goes on total including tax: $44.81
Step-by-step explanation:
If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.
tax + tip = 5.8% + 21% = 26.8%
100% + 26.8% = 126.8% = 1.268
1.268 * $35 = $44.38
If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.
Bill before tax: $35
Add 5.8% tax: 1.058 * $35 = $37.03
Add tip to the amount including tax: 1.21 * $37.03 = $44.81
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:
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
Emilia and Sydney went out to dinner. The bill came to $48. They want to leave a 20% tip and
split the bill. How much do they each pay?
$9.60
$28.80
$57.60
$68.00
Answer:
Option B is correct.
Step-by-step explanation:
Total bill = $48
Tip = 20%
Amount of tip = 20% of 48
Amount = [tex]\frac{20}{100}*48[/tex]
Amount = 0.2 * 48
Amount = $9.60
Total bill with tip = 48 + 9.60 = $57.60
Dividing by 2 as they are spliting the bill.
Each pays = [tex]\frac{57.60}{2}=28.80[/tex]
Therefore,
Option B is correct.
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! )
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
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
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.
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?
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!
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
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.
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
Divide 161 miles in the ratio 6:1
URGENT
Solve for x in the equation x squared minus 12 x + 36 = 90.
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Answer:
It's A on edge
Step-by-step explanation:
Answer:
A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot
Step-by-step explanation:
bc im taking test :)
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.
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.
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!
(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.....
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
Can anyone give me the awnser?
Answer:
Step-by-step explanation:
You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.
x - a = -2by^2
Divide by -1 on both sides
-x + a = 2by^2
Divide by 2b on both sides
(-x + a)/2b = y^2
Take the square root of both sides
[tex]\sqrt{(-x+a)/2b}=y[/tex]
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.
I dont understand how to graph it can someone help me
Answer:
ok so you first point is the y intercept =5 plot this at 5 on the y axis/vertical line from there you plot your slope =1/2 you go up 1 and over 2
Answer: you calculate where the points are and place them in the coordinated spots
Step-by-step explanation:
When looking at coordinates, the first number is on the x axis(horizontal/ side to side line) and the second in on the y axis(vertical/ up and down line) then counting the lines of the point over to the given x axis number, then up the given y axis number
A jar is filled with buttons of various colors. If the jar has a total of 200 buttons and 70% are green, how many green buttons are there?
Answer:
140 green buttons
Question 5
Maria can bake 35 cookies in of an hour. How many cookies can
she make in 4 hours?
Answer:
140
Step-by-step explanation:
just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)
Answer:
its 140 in 4 hours
Step-by-step explanation:
hope this helps!
HELP I WILL GIVE YOU 20 POINTS
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