If you are asking for the rounded amount, it would be about 3.19
hope i understood the question and i helped a bit !
Answer:
the answer is 42
Step-by-step explanation:
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years
A = P (1 + r/n)^nt
A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited
A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99
$349.99 - 273 = $76.99
The compounded interest amounts to $76.99
The answer would be 49 miles
if you let x equal the number of weeks and y equal the total amount of miles, you could set up the equation
y = 3.5x + 14
to find the amount of miles Oliver ran during the 10th week, you would plug in 10 for x, giving you
y = 3.5(10) + 14
y = 35+14
y=49
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is


We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2


Third choice