Answer:

Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
=
×
×
= 
The probability of selecting two red marbles would be 1/19
Answer:
Step-by-step explanation:
Y=8(32)+12
Y=256+12
Y=268 (Sandra)
Y=8(24)+12
Y=192+12
Y=204 (Bela)
204+268=472
He earns $472/month
Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
The rule of the compounded interest is A = P
, where
- n is the number of periods
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
We start with
$1,187.92
With the interest and the late fee charge
$1,187.92 (1 + 0.1225/12) + 30 = $1,230.05
With the interest minus the payment of $125
$1,230.05 (1 + 0.1225/12) - $125 = $1,117.60
The new principal after the latest payment is $1,117.60.