Answer:
The balance after the payment is $1263.84.
Step-by-step explanation:
The formula for amount after compound interest is
Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.
According to the given information,
P=1455.69
r=0.128
n=365
t=45
Put these values in the above formula,
The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is
Therefore the balance after the payment is $1263.84.
Answer:
B
Step-by-step explanation:
The double angle formulae for cosine is
cos2x = cos²x - sin²x
[ using sin²x + cos²x = 1 ]
cos2x = cos²x - (1 - cos²x) = cos²x - 1 + cos²x = 2cos²x - 1
Also cos2x = (1 - sin²x) - sin²x = 1 - sin²x - sin²x = 1 - 2sin²x
The double angle formulae are
cos2x = cos²x - sin²x = 2cos² - 1 = 1 - 2sin²x
Hence
cos60° = cos²30° - sin²30°
cos60° = 2cos²30° - 1
cos60° = 1 - 2sin²30°
B is not a representation of cos60°
AYZ is a right triangle (we're given that YA is perpendicular to XZ). So, we can use the pythagorean theorem to find the missing side:
But we're also given , so we have
Since AZ is half of YZ, which is 10, we deduce AZ=5.
Solving for YA, we have