Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
134,217,728/16,777,216
Even more simplified dividing them would equal 8
To calculate the costs of a quart of strawberries and a quart of raspberries, use the two given condition to set-up an equation. Since two variables are unknown, it needs two equation to calculate the solution. Let x be the cost of a quart of strawberries and y as the cost of a quart of raspberries. So, 1st equation is 3x + 2y = 22, and 2nd equation is 5x + 4y = 39. Substitute one equation into the other by expressing one variable into another variable. Then, the answer is x = $3.5 and y = $5.75.