Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.
Answer:
Step-by-step explanation:
x + 3 /
-()
-
-()
-()
8x +22
-(8x + 24)
The heads probability is ½ and the two’s probability is 1/6. So ½ x 1/6 gives you 1/12. The answer is A. 1/12. Hope this helps.
Answer:
Step-by-step explanation:
The given quadratic equation is:
Comparing it with the standard form of Quadratic Equation , we get:
a = 3, b = -9 and c = 1
Discriminant = b² - 4ac
D = (-9)²-4(3)(1)
D = 81 - 12
D = 69