Answer:
There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.
Step-by-step explanation:
If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
Cost in dollars Books Delivered $27.25 4 $39.25 6 $75.25 12 $93.25 15 Mr. Peterson's Book Store delivers to customers after they have purchased. The costs are shown above in the table a. What is the cost per book? b. What is the delivery fee? Solve each proportion
Helpppp pleaseeeee
Answer:
a) cost per book: $6
b) delivery fee: $3.25
Step-by-step explanation:
a)If we assume the cost per book and the delivery fee are constant, then we can find the cost of 2 books by subtracting the cost for 4 books from the cost for 6 books
cost per book = (cost for 6 books - cost for 4 books)/(6 -4)
= ($39.25 -27.25)/2 = $12/2 = $6 . . . . . cost per book
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b)The delivery charge will be the difference between the delivered cost and the cost of the books. For 4 books, that is ...
delivery charge = $27.25 -4(6.00) = $3.25
_____
Additional comment
The relationship between delivered cost and number of books is not proportional. There are no proportions to solve in this problem.
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
help please!!!!!!!!!!!
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
Compare -8 and 3. Which statement is not true?
Answer:
B
Step-by-step explanation:
it is the opposite of A, which is true, as |-8| = 8
The _______ of an observation is determined by how far the values of the independent variables are from their means.
Answer:
The leverage of an observation is determined by how far the values of the independent variables are from their means.
Jerry left a $5.55 tip on a meal that cost $37. What percent of the meal's cost was the tip? What was the total cost of the meal including the tip?
A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?
Answer:
as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4
Step-by-step explanation:
Plsss help!, bRAInLIST!!
Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?
HELP ME ASAP!!
Solve the system.
2x - 5y = -8
2x - 5y = 12
Which statement is true?
A. The solution is (1,2).
B. The system has infinitely many solutions.
O C. The system has no solution.
What integer that best describes the statement "the stock rose 8 points"?
A.-8
B.15
C.-15
D.+8
Answer:
D.+8
Step-by-step explanation:
"The stock rose 8 points."
The word rose indicates that the number will be positive.
Hope this helps :)
Answer:
D
Step-by-step explanation:
hope it helps
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
The circumference of a circle is 240 meters. What is the approximate
radius of the circle? (Use 3.14 for 7)
A) 9 meters
B) 38 meters
C) 76 meters
D) 153 meters
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answer:
True
Step-by-step explanation:
For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.
Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:
Answer:
(a) f(x) = -3x +6
Step-by-step explanation:
Solve for y, then write as a function.
3y +9x = 18 . . . . . . given
y +3x = 6 . . . . . . . . divide by 3
y = -3x +6 . . . . . . . subtract 3x
f(x) = -3x +6 . . . . . written using function notation
what will the base b be in log 1000 = 3 make this true
Step-by-step explanation:
the base b will be 10.
because if base is not provided it means 10.
therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.
hope this helps you.
Given m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:
Answer:
4x+4)° (2x-16)
Step-by-step explanation:
(4x+4)° (2x-16)°
A bookshelf contains 6 German books, 4 Spanish books and 7 French books. Each book is different from one another. How many different arrangements can be done of these books if
Answer:
17 different arrangements
Step-by-step explanation:
6+4+7=17
Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!
The following relation is a variation. Which description best represents the relation?
Answer:
x and y are directly related because y = -3x
Step-by-step explanation:
After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?
The minimum score Jenny need on that exam to have an overall mean of 80 is 98.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, after three exams, Jenny has a mean score of 74.
Let the minimum score of the one exam remaining be x
Now, (3×74+x)/4 =80
⇒ 222+x=320
⇒ x=320-222
⇒ x=98
Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
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How many tens equal 6 thousands
When it was 70 degrees outside. 50 members showed up at a beach club. For each degree the temperature rose, another 10 members came to the beach club. Write the function, Kt), that represents the number of members at the beach club as a function of the temperature
Answer:
what to do here I don't know sorry
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Find the average rate of change of the function from x=1 to x=2.
f(x)=−10/x^2
Enter the exact answer.
Average rate of change =
Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
Hello there hello hello
Answer:
(-4,-7)
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
Answer:
Ah hello!
Step-by-step explanation:
Sam has 3 bottles of water. Together Sam and Dave have at most 12 bottles of water. How many bottles of water can Dave have?
Inequality-
ANSWER-
Answer: 9
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
If you divide 12 and 3 you will equal 4