Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
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It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Probability of students having their own vehicle
= 2/10
= 1/5
Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?
Answer:
100$ per month
Step-by-step explanation:
Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?
Answer:
1359.24
plz mark brainly
Step-by-step explanation:
Please Help me with this
Answer:
16X^2 - 8x
Step-by-step explanation:
A = L x W
L = x + 5 + 3x + 4x - 9 = 8x - 4
W = 2x
(8x - 4) (2x) = 16x^2 - 8x
Mr. Abdullah’s new car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons
Answer:
280
Step-by-step explanation:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
the process of finding factors
find the area of a circle that has a radius of 7/10 cm. use 22/7 for pi
Answer:
77/50 ≈ 1.54
Step-by-step explanation:
A=πr²
A = (22/7)(7/10)²
A = 77/50
A ≈ 1.54
PLEASE MARK IT AS BRAINLIEST
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answer:
Whats a kayak?
Step-by-step explanation:
Use the distributive property to remove the parentheses.
9(6-v)
Answer:
[tex]54-9v[/tex]
Step-by-step explanation:
To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.
[tex]9(6-v) = 9(6) +9(-v)[/tex]
[tex]=54-9v[/tex]
Hope this helps :)
If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.
Answer:100 times 7
Step-by-step explanation: because
Solve for X.
8=5
X 9
Answer: x = 14.4
Step-by-step explanation:
Answer:
x = 14.4Step-by-step explanation:
8/x = 5/9 just cross multiply
5x = 8(9)
x = 72/5 divide 5 both sides
x = 14.4
Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II
Answer:
The total number of weeks Michelle needs to save is 29.
Step-by-step explanation:
Michelle plans to save $1185 in a number of weeks to determine later.
In the first 7 weeks, she will save $45 each week for a total of
$45 * 7 = $315
In the next 8 weeks, she will save $30 each week for a total of:
$30 * 8 = $240
During these 15 weeks, she has saved
$315 + $240 = $555
She still has a remaining $1185 - $555 = $630 to save.
Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:
$630 / $45 = 14 weeks
Total weeks = 15 + 14 = 29
The total number of weeks Michelle needs to save is 29.
anybody understand this ? please help me .
Answer:its a or b
Step-by-step explanatio
Answer:
The answer is (2)
Step-by-step explanation:
We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].
Find the Surface Area:
Of the picture below
6cm
3 cm
3 cm
2 cm
Answer:
72 cm^2 OR 72 sq cm.
Step-by-step explanation:
6 x 5 = 30
10 x 3 = 30
2 x 6 = 12
30 + 30 + 12 = 72
Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.
find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!
Answer:
Diverges
Step-by-step explanation:
Using the ratio test to test the series:
Convert 86 to base 5.
Answer:
321
Step-by-step explanation:
Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.
How to convert any number into base 10?To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.
After it, we need to add it. It will give us a number of the 10 bases.
Conversion of any 10 base number into base 5
To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.
Converting 86 to base 10
⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]
⇒ 86₁₀
Converting 86₁₀ into 86₅
When the number 86 is converted in a base of 5 will be (321)₅
Since we need to go down to up to 321₅ will be the correct answer.
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What is the domain of the relation?
✔ -4<=x<=6
What is the range of the relation?
✔ -4<=y<=4
Is the relation a function?
✔ yes
here are all the answers
Answer:
thx for ur help
if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points
The mathematical answer would happen to be... 0
Answer:
0
Step-by-step explanation:
Find the area of the shape shown below
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?
Perimeter = 2x length + 2x width.
2(2x+3) + 2(x-5) = 44
Simplify:
4x + 6 +2x -10 = 44
Combine like terms:
6x -4 = 44
Add 4 to both sides:
6x = 48
Divide both sides by 6:
X = 8
Now replace x with 8 in the equation for length:
2x + 3 = 2(8) +3 = 16 + 3 = 19 cm
Length = 19 cm
There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
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After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer: 13,668 i think.
Can you help with the 2 that are not correct?
Answer:
MPO=MNO
NPO=MNP
Step-by-step explanation:
MPO=MNO because MPO opposite angles of a parallelogram are congruent.
MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.
NPO=MNP because they are alternate interior angles. (If you don't understand what that means I can come back and explain it)
For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.
Answer:
There are 24 right handed students
Step-by-step explanation:
This is a ratio question so it would be represented as 1:4.
First you would do 1 + 4 which is 5.
Then do 30 ÷ 5 which is 6.
Finally multiply 6 by 4 and 1.
So 6 × 4 × 1 is 24.
So there are 24 students who are right handed.
Hope this makes sense!
Solve -3(5x-9) please
Answer:
12
Step-by-step explanation: