<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
Negative one degree celsius
Answer:
16 - n
Step-by-step explanation:
Answer: D) (x - 2)(x² - 8)
<u>Step-by-step explanation:</u>
Separate the polynomial into two groups of two terms and factor out the common value from each group. If the values factored out from each group are the same, then you can use the grouping method. The factors will be the outside terms and the common factor.
x³ - 2x² + -8x + 16
= x²(<u>x - 2</u>) + -8(<u>x - 2</u>)
= (x² - 8)(x - 2)
Answer:
a) growth
b) $500
c) 6% = 0.06
d)
e) $595.51
Step-by-step explanation:
<u />
<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:
where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:
<u>Part (e)</u>
when x = 3