Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
Answer:
A(10) = $13,961.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
P = 8259
r = 0.0525
t = 10 years.
Hence,
A = 8,259.00 × e^(0.0525×10)
A = $13,961.50
Therefore, the money that will be in the account after 10 years is $13,961.50
Divide the numerator by the denominator and you will get 0.125
Consecutive numbers differ by one, which means that if you start with a certain integer 
, you obtain the next integer by adding one.
So, if you start with 
, the three consecutive numbers are
The sum of these three numbers is
This number is divisible by 3 because you can write it as
Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.
