Answer:
Step-by-step explanation:
a like radical just means one that's similar to the original. going through your options, you should look for one with the exact same contents in the brackets as the one asked in the question. in this case, we see it's the third one because the contents inside are the same. the outside value (or known as the stretch/compression value) doesn't change the fact that it is still like to the original.
Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount.
Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:
The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.
n = 370.22.
Hence, the amount received by Danil is given by:
More can be learned about proportions at brainly.com/question/24372153
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Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
Dividing by PV:
Taking logarithms:
Solving for t:
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
