Using A(t)=500(1.6)^t. When will the starting amount of 500 be doubled?
1 answer:
Answer: , or ~1.4747
. You didn't specify a unit for t, so if that is days, months, or years, that is the amount of specified time.
Step-by-step explanation:
To calculate how long it will take to double, you need to solve for the variable .
To do this, insert the doubled value of 500 where currently is.
Then, simplify the equation by dividing each side by 500.
Then, take the logarithm of both sides.
㏑2 = ㏑(1.6)^t
Using the rule of logarithms, you can simplify this further:
㏑2 = t * ㏑1.6
Next, you can divide each side by ㏑1.6. This is your final answer.
You can simplify this further by dividing the logarithms.
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The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base inches,
The width of the base inches, and
The height of the exhibit inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
By substituting the values, we get
The surface area of the exhibit is 1,638 cubic inches.