Aubrey prepared 15 kilograms of dough after working 5 hours. How many hours did Aubrey work if she prepared 18 kilograms of dough?
Answers
Answer:
6 hours
Step-by-step explanation:
Set up a proportion:
15kg/5 hrs = 18kg/x hrs
Cross multiply:
5(18)=15x
90 = 15x
Divide by 15:
90/15 = x
6 = x
Answer:
21
Step-by-step explanation:
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The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample? asking the first 50 employees who come to work on Monday morning to take the survey telling the managers in each of the 5 departments to randomly select 10 people to take the survey giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey sending an email to all 250 employees asking them to complete the survey within the next couple of days
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.
Which statement is true?
Plan A will be worth more than plan B after two years.
Plan A will be worth the same amount as plan B after one year.
Plan B will be worth more than plan A after three years.
Plan B will be worth more than plan A after four years.
Answers
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Thus the correct answer is Plan A will be worth more than plan B after two years.
The true statement is Plan A will be worth more than plan B after two years.
What is the worth of the plans with the passage of time?
The equation that can be used to represent the future value of plan A:
Total value = initial value x ($100 x number of years)
Value in 2 years: 1000 x (100 x 2) = $1200
Value in 3 years: 1000 x (100 x 3) = $1300
Value in 4 years: 1000 x (100 x 4) = $1400
The equation that can be used to represent the future value of plan B:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
- Value in 2 years: 1000 x(1.05^2) = $1102.50
- Value in 3 years: 1000 x(1.05^3) = 1157.63
- Value in 4 years: 1000 x(1.05^2) = 1215.51
To learn more about future value, please check: brainly.com/question/18760477
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Answers
Answers
Answer:
Her gross pay for that week=$525
Step-by-step explanation:
Step 1: Express the gross pay
The gross pay can be expressed as follows;
A=F+(R×T)
where;
A=the gross pay per week
F=fixed income per week
R=commission rate
T=total commission sales
In our case;
F=$300 a week
R=15%=15/100=0.15
T=(2,500-1,000)=$1,500
replacing;
A=300+(15% of 1,500)
A=300+(0.15×1,500)
A=300+225=525
A=$525
Her gross pay for that week=$525
a
5 6 7 8 9
b 3.8 4.6 5.4 , Blank, blank
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Answers
Ahhh ! That's where simplifying comes in. Before you even try to
compare the fractions, make sure each one is in simplest form.
To simplify a fraction:
-- List the factors of the numerator (the top number).
' 1 ' is always one of them.
-- List the factors of the denominator (the bottom number).
' 1 ' is always one of them.
-- If there's any OTHER number (besides ' 1 ') that's a factor of both the
top and bottom, then divide the top and bottom both by that number.
-- If there's another one, then divide the top and bottom by it.
-- Keep doing that until ' 1 ' is the only factor of both the top and bottom
numbers. Then you know that the fraction is in simplest form.
When you have simplified both fractions to their simplest form, THEN you
can compare them, and see whether they represent the same number.
If they do, then their simplest forms will both look exactly the same !
b. y = 3
c. y = 4
d. y = 5
Answers
General Idea:
Say if f(x) is the parent function, then f(x-c) represents transformation described as horizontal translation or shift of f(x) by ' c ' units to the right.
Applying the concept:
Here we are given a function , after the transformation of horizontal shift of 4 units to the right, the function will be given as below: