Answer:
The new volume is 7^3 or 343 times the old volume
Step-by-step explanation:
The original sphere has a volume of
V = 4/3 pi r^3
The radius is multiplied by 7
The new volume is
V = 4/3 pi (7r) ^3
V = 4/3 pi (7)^3 r^3
The new volume is 7^3 or 343 times the old volume
Answer:
98
Step-by-step explanation:
for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.
For 5 sides you get 3 triangles
For 6 sides - 4
For 7 sides - 5
For 8 sides - 6
Looks like we get 2 less triangles than the number of sides in the polygon
Answer for 100 sides is 98 triangles.
if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.
<h3>What is an interest in banking?</h3>
Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formular for calculating compound interest is expressed as;
A = P(1 + r/n)^(n*t)
Where A is final amount, P is initial principal balance, r is interest rate, n is number of times interest applied per time period and t is number of time periods elapsed.
Given the data in the question;
- Initial principal balance P = $4000
- Interest rate r = 5.5% anuually = 5.5/100 = 0.055
- Final amount A = $5600
- Time t = ?
We substitute our given values into the expression above.
A = P(1 + r/n)^(n*t)
5600 = 4000(1 + 0.055/1)^(1*t)
5600 = 4000( 1.055 )^t
( 1.055 )^t = 5600 / 4000
( 1.055 )^t = 1.4
We take log of each sides
0.02325t = 0.1461
t = 0.1461 / 0.02325
t = 6.3
Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.
Learn more about compound interest here: brainly.com/question/27128740
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Answer:
I think 4 number is correct
Answer:
sticks and stones
Step-by-step explanation:
juice wrld
