Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$
we know that
the formula to calculate the slope between two points is equal to
in this problem we have
substitute the values in the formula
therefore
<u>the answer is the option</u>
K = ln(ending amt/bgng amount)/6 years
k = ln(99,000,000/94,000,000) / 6 years
k = ln(
<span>
<span>
<span>
1.0531914894
</span>
</span>
</span>
) / 6 years
k =
<span>
<span>
<span>
0.0518250679
</span>
</span>
</span>
/ 6
k =
<span>
<span>
<span>
0.0086375113</span></span></span>
Final population = bgng*e^k*years
Where "e" is the mathematical constant 2.718281828
Final population = 94,000,000*e^<span>0.0086375113*12</span>
Final population = 94,000,000*e^<span><span><span>0.1036501356
</span>
</span>
</span>
Final population = 94,000,000*
<span>
<span>
<span>
1.1092123132
</span>
</span>
</span>
<span><span>
</span>
</span>
Final population =
<span>
<span>
<span>
104,265,957
</span>
</span>
</span>
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
