To determine when the coin will be worth $150, you can substitute 150 for y and solve for t. what value do you get for t when you do that?

5.23 years, the time at which the coin has increased in value to $150.

Step-by-step explanation:

Use the exponential function f(t) = 4*2^t.

Substitute $150 for f(t):  $150 = 4*2^t.

Simplify this by dividing both sides by 4:  $150/4 = 2^t, or $37.50 = 2^t.

Next, solve for the value of t.  To do this, take the common log of both sides, obtaining:

log 37.50 = t*log 2.  Thus, t = [log 37.50] / [log 2].  Evaluate this using a calculator:

t = 1.57403 / 0.30103 = 5.23 time units.  For example, this could be 5.23 years.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2