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The problem states that (3)/(4) of the money is 36000 frs.
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31 stepsHere are the solutions to the problems:
16.
Let be the total amount of money.
The problem states that of the money is .
So, we can write the equation:Solve for .
Multiply both sides by :
All of the money is worth .
17.
Identify the number to be rounded.
The number is 3.256.
Round to 3 significant figures.
The first three significant figures are 3, 2, and 5.
The digit after the third significant figure (5) is 6. Since , we round up the third significant figure.
So, 5 becomes 6.
The number 3.256 correct to 3 significant figures is .18.
Calculate the value of each term.
Perform the subtraction.
The value is .
19.
Identify the principal amount (), rate (), and time ().
Principal () =
Rate () = per annum = 0.08
Time () =Use the simple interest formula
.
The simple interest is .
20.
Identify the diameter ().
Diameter () =
Use the formula for the circumference of a circle
.
Using :The circumference is .
21.
Write the decimal as a fraction.
Simplify the fraction to its lowest terms.
Divide both the numerator and the denominator by their greatest common divisor.
Both 75 and 1000 are divisible by 25.So, the fraction in its lowest terms is .
0.075 as a fraction in its lowest term is .22.
Calculate the value of each term.
Multiply the results.
The value is .
23.
Identify the average and the number of values.
Average of 3 numbers = 45
Number of values = 3Use the formula
Sum = Average Number of values.
The sum of the three numbers is .
24.
Identify the total volume and total price.
Total volume of kerosene =
Total price =Calculate the price per liter.
The price per liter was .
25.
Calculate the total fraction of salary spent.
Spent on food =
Spent on rent =
Total spent =
To add these fractions, find a common denominator, which is 10.Total spent =
Calculate the fraction left for other things.
The whole salary is represented by 1.
Fraction left =The fraction left for other things is .
26.
Identify the number.
The number is 72,295.
Write the number in words.
The number is Seventy-two thousand, two hundred ninety-five.
In words, 72,295 is .27.
Identify the number.
The number is 2.503.
Determine the place value of 5.
In the number 2.503:
2 is in the units place.
5 is in the tenths place.
0 is in the hundredths place.
3 is in the thousandths place.
The value of 5 in the number is or .28.
Identify the given values for the rectangular lawn.
Perimeter () =
Length () =Use the formula for the perimeter of a rectangle
, where is the width.
Solve for .
Divide both sides by 2:
Subtract 4 from both sides:
The width of the lawn is .
29.
Add the numbers in base 10.
Convert the sum (65 in base 10) to base 5.
Divide 65 by 5 repeatedly and record the remainders.
remainder 0
remainder 3
remainder 2
Read the remainders from bottom to top: .
So, in base 5 is .30.
Identify Peter's birth year and the age he will be.
Birth year = 1982
Age =Add the age to the birth year to find the target year.
Peter will be 37 years old in the year .
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