Answer:
<u>D</u>
Step-by-step explanation:
The logical step is to <u>factorize the left side of the equation</u>, which becomes:
Then, you can take the square root on both sides.
Not asked, but good to understand the procedure regardless.
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.
If that's an addition sign, then b=-35.
If it's a division sign, then b=-150
Sorry I can't see which it is! Hope this helped though :)
Good luck!
Answer:
hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...
June 30, 1861: Battle of Philippi. ...
July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...
August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...
October 21, 1861: Battle of Ball's Bluff. ...
November 7, 1861: Battle of Belmont. ...
January 19, 1862: Battle of Mill Springs.
