The least common multiple of 8 and 9 will be 72
Answer: 96%
Step-by-step explanation:
There are 25 total cyclists and 24 of those finished the race in less than 51 minutes. The question would like this 24 to be expressed as a percentage of 25.
In percentage this would be:
= Number of cyclists who finished in 51 minutes / Total number of cyclists * 100%
= 24 / 25 * 100%
= 96%
Assuming that the population follows an exponential function, the it will take the form:
y=a(bˣ)
where:
a=initial value
b=growth factor
x=time
thus plugging our values in the equation we get:
y=40000(1.1ˣ)
thus the population in 2011 when t=3 will be:
y=40000(1.1³)
y=53240
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2

Expand the expression

Collect like terms

Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
brainly.com/question/16863577
#SPJ1
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
1 / 5 = 0.20
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 20
Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*
In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:
<h2><u><em>
0.2</em></u></h2>