Answer:
100
Step-by-step explanation:
Answer: 65 - $39 = $26 >> amount you save
26 / 65 = 0.4 = 40% >> discount rate
Step-by-step explanation:
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
The linear approximation of B(t) at t = 2.2 estimates B(t) = 9 for t = 2.8328
Step-by-step explanation:
b'(2.2) = 8 * e^(0.2cos(2.2)) = 7.1117 and b(2.2) = 4.5. The linear approximation of B(t) at t = 2.2 is
L(t) = 7.1117*(t-2.2) + 4.5
We want t so that L(t) = 9
9 = 7.1117*(t-2.2) + 4.5
4.5 = 7.1117 *(t-2.2)
t-2.2 = 4.5/7.1117 = 0.6327601
t = 2.2+0.6327601 = 2.8328
