Fidel has a rare coin worth \$550$550dollar sign, 550. Each decade, the coin's value increases by 10\%10%10, percent.
2 answers:
Answer:
Option B -
Step-by-step explanation:
Given : Fidel has a rare coin worth $550. Each decade, the coin's value increases by 10%.
To find : Which expression gives the coin's value, 6 decades from now?
Solution :
The given situation represents the exponential function,
where, a is the initial value i.e. a=$550
r is the increased rate r=10%
n is the time i.e. n=6
Substitute the value in the formula,
Therefore, option B is correct.
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Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution and
so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that since w ehave a cooloing,
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.