A company is producing christmas light strings containing 20 small bulbs. Suppose the success or failure of a bulb is independen
1 answer:
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Answer:
And we can solve for y and we got:
And using condition (1) we can solve for x and we got:
So then the minimum cost for this case would be:
Explanation:
For this case the graph attached illustrate the problem for this case
We know that the total area is 60000, so then we have:
If we solve for x we got:
(1)
Now we can define the cost function like this:
We can use the condition (1) and if we replace in the cost function we have:
Since we need to minimize the cost, we can derivate the function in terms of y and we got:
And we can solve for y and we got:
And using condition (1) we can solve for x and we got:
So then the minimum cost for this case would be:
Answer:
73 years
Explanation:
To solve this problem, we can use the formula for the annual compound interest, which is:
where:
A is the final amount after time t
P is the principal
r is the rate of interest
t is the time
In this problem, we have:
is the principal
is the interest rate (5.5%)
We want to find the time t at which the amount of money is
A = $100,000
Therefore, we can re-arrange the equation and solve for t:
So, it will take 73 years.