Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)
cos Ф/2=⁺₋√((1+cosФ)/2).
In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2). (we will have a negative number)
cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2 (≈-0.92387...)
Answer: cos 157.5º= -√(2+√2) / 2
Answer:
x=1
Step-by-step explanation:
First find a common denominator between 7 and 4 which is 28, Multiply both equations by 28 eliminating the denominators so now you have theses two equations: 4(2x + 12) = 7(3x + 5) distribute these equations to get:
8x + 48 = 21x +35 now you want to get the x's on one side so 8-21 = -13 which as an equation so far would be -13x + 48 = 35 now do 35-48 = -13 so you can have 13x alone on one side. Your final equation now before you solve is
-13x = -13 the divide -13 by -13 to get 1.
Hope this helps you understand it better
A = price of the desktop
b = price of the laptop
now, we know the laptop was more expensive than the desktop by 250 bucks, thus
b = a + 250.
for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.
how much is 8.5% of a? well (8.5/100) * a, or
0.085a.
how much is 5% of b? well, (5/100) * b, or
0.05b.
now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that 0.085a + 0.05b = 296.

how much did the laptop cost? well, b = a + 250.
Answer:36 times hope it helps
Step-by-step explanation:
This can be solve using the formula:
F = P ( 1 + i)^n
where F is the money after n years
P is the initial amount of money
i is the annual interest rate
n is the time in years
since you deposit in 3 accounts P = 2200/3
F = ( 2200 / 3) ( 1 + 0.03)^6
F = $ 875.64 is the money each account earned after 6 years