Answer:
13 hours
Step-by-step explanation:
Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.
Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,
10 + 5t = 75
We now solve for t to find the amount of hours if takes him to earn enough to buy the shoes.
So,
10 + 5t = 75
Subtracting 10 from both sides, we have
10 - 10 + 5t = 75 - 10
5t = 65
dividing both sides by 5, we have
t = 65/5
t = 13 hours
So, it takes Shawn 13 hours to earn enough to buy the shoes.
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
WILL MARK BRAINLIEST
The graph of F(x), shown below, has the same shape as the graph of G(X) = x3 - x2, but it is shifted to the left 2 units. What is its equation?
O A. F(x) = (x - 2)3 - (x - 2)2
O B. F(X) = (x + 2)3 - (x + 2)2
O C. F(x) = x3 - x2 - 2
O D. F(x) = x3 - x2 + 2
Answer:
B
Step-by-step explanation:
After the translation of 2 units left, the function becomes f(x)=(x-2)³-(x-2)². Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is g(x)=x³-x².
When the shape is moved towards the left by k units, then replace x with x - k.
The function shifted to the left 2 units.
So, the function is f(x)=(x-2)³-(x-2)²
Therefore, option A is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ7
Write an equation of the line in slope-intercept form. (0,2)(3,3)
Answer:
Slope = 1/3
Step-by-step explanation:
Hope this helps.
Someone answered this question with a link that didn't work so i need help
Answer:
y=0.875x + 6
Step-by-step explanation:
Answer:
Y= 7/8X+6
Step-by-step explanation:
Good luck bro .
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
You have to type up a 400 word paper. If you can type 25
words in 3 minutes, how long will it take you to type the
paper?
Answer:
48 minutes
Step-by-step explanation:
25=3 400/25=16x3=48
Answer:
48 minutes
Step-by-step explanation:
25 words - 3 minutes
400 words - x minutes
Cross multiply
25x = 400 x 3
25x = 1200
Divide both sides by 25
x = 1200/25
x = 48
Sam is making wheels for tricycle. He can make 400 wheels in 2 hours. how many hours will it take him to make 1,000 wheels.
Answer:
5 hours.
Step-by-step explanation:
800 wheels in 4 hours.
Half of 400 is 200.
Half one 2 is 1
So 1000 wheels. 5 hours.
The scale of a map says that 6 cm represents 15 km,
What is the actual number of kilometers that is represented by 16 cm on the map
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
Simplify *show work!!*
(X^6)^1/2
Answer:
[tex]x^{3}[/tex]
Step-by-step explanation:
in powers:
when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36
so in this one try to do it like the one up there
6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]
Reflect (-1, -1) over the y-axis.
Answer:
(1,-1)
Step-by-step explanation:
PLEASE HELP
32=7-5x
Answer:
x = -5
Step-by-step explanation:
25 = -5x
x = -5
Which statements descrībe the function fo) =3(3)? Check all that apply
Answer:
?
Step-by-step explanation:
what is 18k+3
asking for a friend
k as in the letter not 18,000
factor 3 out of 18k+3.
3(6k+1)
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 betwen 1 - 50 =
8
16
24
32
40
48
there are 6 multiples of 8
Numbers that are not multiples of 8 = 50 - 6 = 44
Probability the operator will choose a unit that is not a multiple of 8 = 44/50
Expressing in simpler terms = 22/25
Which expression shows the result of applying the distributive property to 12(5y+4)?
60y + 4
5y + 48
17y + 16
60y + 48
Answer:
60y+48
Step-by-step explanation:
Find the value of X
PLEASE HELP ASAP!!!!!
Answer:
-10
Step-by-step explanation:
the upper right is the same (105°), therefore the left 75°
now you have 180 = 75 + x + 115
therefore: -10
please help fast asap
Answer: 47 degrees
Step-by-step explanation:
7x-9=4x+15 because of the vertical angle rule
7x-9=4x+15
3x=24
x= 8
So the angle 7(8)-9 = 47°
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
1 picture 2 questions please and thank you
Answer:
Step-by-step explanation:
Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?
Answer:
7.91
Step-by-step explanation:
I just took the quiz and i got an A
Find the values of x and y so that GHJK is a dart. Be sure to show all work .
Answer:
Step-by-step explanation:
In dart, adjacent sides are equal
JK = GK
3x - 9 = x + 13 {Add 9 to both sides}
3x = x + 13 + 9
3x = x + 22 {Subtract 'x' from both sides}
3x -x = 22
2x = 22 {Divide both sides by 2}
x = 22/2
x = 11
JH = GH
9y = 5y + 8 {Subtract 5y from both sides}
9y - 5y = 8
4y = 8 {Divide both sides by 4}
y = 8/4
y = 2
Help 10 pts!!!
A cedar chest is a shaped like a rectangular prism. The cedar chest is 2 feet tall, 4 feet wide, and 2 feet deep.
What is the surface area of the cedar chest?
Answer:
40 ft^2
Step-by-step explanation:
lateral surface area -Slat = 24 ft^2
top surface area-Stop = 8 ft^2
bottom surface area -Sbot = 8 ft^2
24+8+8= 40
total surface area -Stot = 40 ft^2
Answer:
40
Step-by-step explanation:
took the test
plz help!!!!!!!!!!!!!!!
Which table of values represents a line with a slope of 4/3
Answer:
c
Step-by-step explanation:
have a good day :D
to find the slope you take two points and add the y values and divide it by the x values
so you take the points (0,-2) and (3,2)
the y values are -2and2
2+2=4
the x values are 0 and 3
0+3=0
4/3=4/3 so that table does represent an equation with a slope of 4/3
sorry if this doesnt make sense its hard to explain virtually
What is another way to write 46?
4×4×4×4×4×4
6×6×6×6
6+6+6+6
4+4+4+4+4+4
If you mean 4x6, then it would be C and D.
A would be 4^6 and B would be 6^4, both of which we don't want.
---
hope it helps
Answer:
None of the answers match your question.
Please help me with this
Answer:
i cant see it...
Step-by-step explanation:
...
What is the best method to use?
- 4x - 2y = -12
4x + 8y = -24
Answer:
x=6, y=-6. (6, -6). I used elimination method.
Step-by-step explanation:
-4x-2y=-12
4x+8y=-24
-------------------
6y=-36
y=-36/6
y=-6
-4x-2(-6)=-12
-4x+12=-12
-4x=-12-12
-4x=-24
4x=24
x=24/4
x=6
Apples cost $2 per pound at the local price club, but
the club has a membership fee of $50. Write an
equation to determine how many pounds (p) of apples
you can buy for $58.
(What’s the answer????)
Answer:
x=4
Step-by-step explanation:
y=2x+50
58=2x+50
8=2x
x=4
Does anyone know this answer???
Answer:
VX has the greatest length
Could you guys please help me solve this basic math. PLS OMG ITS DUE :(
Answer:
21÷-3=-7
I dont know what all those extra boxes are for but I hope I helped a little