Answer:
8
Step-by-step explanation:
Let's call the center of the middle circle J, and the center of the third circle K.
Draw a line from J to the line AD such that the line is perpendicular to AD.
This forms a right triangle that is similar to the triangle ΔADK.
Writing and solving a proportion:
x / DK = AJ / AK
x / 5 = 15 / 25
x = 3
Now, draw lines from J to B and C. We now form two congruent right triangles, where the hypotenuse is 5 and the shared leg is 3.
That means these are both 3-4-5 triangles.
Therefore, BC = 4 + 4 = 8.
As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people? Let's just go with it.
That's the answer to the first part.
35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.
Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:
Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:
The interest is then calculated:
Mrs. Adams will earn $3,120 of interest at the end of year 8.