<u>Answer
</u>
After 12 years Emily's salary will be doubled
<u>Explanation
</u>
Here the salary increase can be considered as increase in the principle amount annually.
There are two methods to calculate the number of years.
1) 72 Rule
The rule state that, the number of years required to double the principle amount at given rate of interest, we just divide 72 by the interest rate.
In this problem Principle amount =$25,000 (in this rule no importance in principle amount)
Rate of interest, R = 6%
Number of years taken to double the amount = 72/6 =12 years
2)compound interest calculation method
P[1+R/100]^N = 2P
[1+ R/100 ]^N= 2
R is 6%, N is number of years
(1.06)^N =2
e^(ln(1.06^N)) = 2
e^N㏒(1.06)=2
N x ㏑(1.06) = ㏑(2)
N =㏑(2)/㏑(1.06) ≈11.8917 ≈ 12 years
Answer:
Largest possible number of sweets in each tray
Step-by-step explanation:
Given:
Number of orange-flavored sweets = 36
Number of grape-flavored sweets = 44
To find: largest possible number of sweets in each tray
Solution:
HCF(highest common factor) of two or more numbers refers to the greatest number which can divide the given numbers
To find largest possible number of sweets in each tray, find the HCF(highest common factor) of 36 and 44.
So,
So,
Largest possible number of sweets in each tray
Answer:
a food container and a bowl
The new mixture has a total volume of 5 L + 9 L = 14 L.
70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is
3.5 L / 14 L = 0.25, or 25%
