Answer:
Step-by-step explanation:
The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size,
Each year, the population drops to 95% of its previous value. (100 - 5)%
That is, the population is multiplied by 0.95 each year.
Repeated multiplication is signified by an exponent.
Here, that exponent is the number of years from today (t).
<h3>There fore, The population function can be written as ...</h3><h3 /><h3> P(t) = 200·0.95^t</h3><h3>
</h3>
If Olivia wants to prevent interest capitalization, she must pay the accrued interest each month. That amount is
... I = Prt = $13,100×0.076×(1/12) = $82.97
Over 4 years (48 months), these payments total $82.97×48 = $3982.56.
_____
If no payments are made, the loan balance grows by the multiplier (1 +r/12) each month. Then the amount of interest that will be capitalized at the end of 48 months is ...
... $13,100×((1 +0.076/12)^48 -1) = $4637.01
The difference in these amounts is ...
... $4637.01 -3982.56 = $654.45 . . . . . matches selection a.
In the given problem the trick lies in the fact that the time upto which the food supply would last for 600 passengers is given in weeks and that is 3 weeks. First thing to do is convert the 3 weeks to number of days. Then it would be easy to find the number of days the same food supply would last if the number of passengers increases to 800.
Then
3 week = 21 days
Now
For 600 passengers in the ship the food supply will last for = 21 days
then
For 800 passengers in the ship the food supply will last for = (21/800) * 600
= (21/8) * 6
= 15.75 days
So the food supply for 800 passengers would last for 15.75 days
Surface area of a sphere = <span>4π<span>r2</span></span>
the volume of a sphere= <span><span>43</span>π<span>r3</span></span>
so <span>5000π=<span>4/3</span><span>πr3
</span></span><span>> r^3 = 5000 x 3 / 4
=>
r^3 = 3750
</span>taking cube root on both sides
r=15.53616
hope it helps
It would be 1649.04 cause 824.52+824.52=
