We are given with the equation <span>p(t) = 1.1*e^0.047t where p represents the price, t represents the time in years. price varies exponentially with time. If p is 3 dollars in the future, then
</span><span>3 = 1.1*e^0.047t
</span>ln 2.727272 = 0.047 t
t = 21. 35 years or year 2001.
Answer:
78.2
Step-by-step explanation:
Hope this helps
Answer:
The radius will be half of your diameter so,
since 26 is your diameter half of that is = 13 is your new radius.
Now finding the area:
13^2 = 169
169 x 3.14 = 530.66 cm2 is your area.
Formula of an area of a circle:
πr^2
pi(3.14 or 22/7 depending on whatever they tell you to use for pi) x radius being squared
A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.
Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3
<em><u>Solution:</u></em>
Given that,
Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)
Here "times" represent multiplication
<em><u>The above sentence can be written mathematically as:</u></em>

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

Cancelling the common terms in numerator and denominator,

Multiplying terms in numerator and denominator,

Negative sign in numerator and denominator cancels each other

Reducing to lowest terms we get,

In decimal form we get,

Thus solution to given expression is 0.3