Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
q = 177/13
Step-by-step explanation:
3q - 16q = 7 + 2(-89 – 3)
-13q = 7 + 2(-92)
-13q = 7 - 184
-13q = -177
q = (-177)/(-13)
q = 177/13
Answer:
The interest on the savings account is $46.47
Step-by-step explanation:
Here, we want to know the interest earned on the savings account.
The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92
The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45
This is the amount that is supposed to be on the account without interest
So the interest earned would be; 3044.92 - 2,998.45 = $46.47
Answer:
15 feet.
Step-by-step explanation:
Tony's speed = 15 ft/min.
Antonio's = 18 feet /min.
So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.
So the answer is 90-75 = 15 feet.
Answer:
improved mental health
decreased risk of alcohol and drug use
