6 results

rounding - replacing a number with an approximate value that has a shorter, simpler, or more explicit representation

9 /11 as a decimal rounded to 3 decimal places

9 /11 as a decimal rounded to 3 decimal places
Typing in [URL='https://www.mathcelebrity.com/perc.php?num=9&den=11&pcheck=1&num1=16&pct1=80&pct2=70&den1=80&idpct1=10&hltype=1&idpct2=90&pct=82&decimal=+65.236&astart=12&aend=20&wp1=20&wp2=30&pl=Calculate']9/11 to decimal[/URL], and rounding to 3 decimal places we get:
[B]0.818[/B]

A car is purchased for $24,000 . Each year it loses 30% of its value. After how many years will t

A car is purchased for $24,000 . Each year it loses 30% of its value. After how many years will the car be worth $7300 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Set up the depreciation equation D(t) where t is the number of years in the life of the car:
D(t) = 24,000 * (1 - 0.3)^t
D(t) = 24000 * (0.7)^t
The problem asks for D(t)<=7300
24000 * (0.7)^t = 7300
Divide each side by 24000
(0.7)^t = 7300/24000
(0.7)^t= 0.30416666666
Take the natural log of both sides:
LN(0.7^t) = -1.190179482215518
Using the natural log identities, we have:
t * LN(0.7) = -1.190179482215518
t * -0.35667494393873245= -1.190179482215518
Divide each side by -0.35667494393873245
t = 3.33687437943
[B]Rounding this up, we have t = 4[/B]

Rick sold a total of 75 books during the first 22 days of May. If he continues to sell books at the

Rick sold a total of 75 books during the first 22 days of May. If he continues to sell books at the same rate, how many books will he sell during the month of May?
Set up a proportion of days to books where n is the number of books sold in May:
22/31 = 75/n
Using our [URL='https://www.mathcelebrity.com/proportion-calculator.php?num1=22&num2=75&den1=31&den2=n&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator[/URL] and rounding to the next integer, we get:
n = [B]106[/B]

Rounding

Free Rounding Calculator - Rounds a number to the nearest number of your choice

Rounding to Decimal Places

Free Rounding to Decimal Places Calculator - Rounds a number to a select number of decimal places

The population of a town is currently 22,000. This represents an increase of 40% from the population

The population of a town is currently 22,000. This represents an increase of 40% from the population 5 years ago. Find the population of the town 5 years ago. Round to the nearest whole number if necessary.
To get the population 5 years ago, we'd discount the current population of 22,000 by 40%. We can write a 40% discount as 1.4.
Population 5 years ago = 22,000/1.4
Population 5 years ago = 15,714.29
Rounding to the nearest whole number, we get [B]15,714[/B]