Answer:
The solution to the equation is
x = -4
Step-by-step explanation:
We want to find the solution to the equation
(1/4)x - 1/8 = 7/8 + (1/2)x
First, add -(1/2)x + 1/8 to both sides of the equation.
(1/4)x - 1/8 - (1/2)x + 1/8 = 7/8 + (1/2)x - (1/2)x + 1/8
[1/4 - 1/2]x = 7/8 + 1/8
x(1 - 2)/4 = (7 + 1)/8
-(1/4)x = 8/8
-(1/4)x = 1
Multiply both sides by -4
x = -4
Answer:
True
Step-by-step explanation:
A number and its reciprocal have the same sign.
The cosecant is the reciprocal of the sine.
Therefore, the cosecant has the same sign as the sine.
Answer:
14.74%
Step-by-step explanation:
The formula for ANNUAL PERCENTAGE YIELD (APY) for an account that is COMPOUNDED CONTINUOUSLY is given as
APY = Pe^rt - 1
Where P = Principal
e = exponential
r = rate
t = time
Since Principal and Time was not given in the question,
APY = e^r - 1
r = 13.75% = 0.1375
APY = e^0.1375 - 1
APY = 1.147401706 - 1
APY = 0.147401706
Converting to percentage
= 0.147401706 × 100
= 14.7401706%
Approximately to 2 decimal places: 14.74%
Therefore, the annual percentage yield is 14.74%
