A, the first one only, this parabola only has a minimum and no maximum. the other statements are also just false
Area of circle = πr²
= 64π
The cord will subtend a semicircle of diameter 8", radius 4". The area of this semicircle:
1/2 πr²
= 0.5 x 4² x π
= 8π
Area of larger region = area of circle - area of semicircle
= 64π - 8π
= 56π inch²
Jack should invest $8400 in the CD account and $3600 in the savings account.
Step-by-step explanation:
Jack wants to earn 7.5% interest per year. That implies he wants to earn
7.5/100*12000 per year i.e $900 per year.
Lets assume he invests X amount in the savings account. That leaves 12000-X to be invested in the CD account.
That implies,
=> 
=> 
=> X = 3600
9514 1404 393
Answer:
- 10,247.38 from continuous compounding
- 10,228.50 from semiannual compounding
- continuous compounding earns more
Step-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
__
The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
