Answer:
To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!
Step-by-step explanation:
Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
--- initial
--- rate
--- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where
Express percentage as decimal
The required is the calculated using:
So, we have:
<em>The total amount received is: $1906650</em>
Thank you for letting me help :)
<u>Answer</u>
2,737,152a⁵b⁵
<u>Explanation</u>
(2a - 3b)¹⁰ = (2a)¹⁰ - 10(2a)⁹(3b) + 47(2a)⁸(3b)² - 144(2a)⁷(3b)³ - 212(2a)⁶(3b)⁴ + 352(2a)⁵(3b)⁵
The 6th term in this expression is 352(2a)⁵(3b)⁵
352(2a)⁵(3b)⁵ = 352 × 2⁵a⁵ × 3⁵b⁵
= 352 × 32 ×243 ×a⁵b⁵
= 2,737,152a⁵b⁵
