Suppose that a new employee starts working at $7.72 per hour and receives a 4% raise each year. After time t, in years, his hourly wage is given by the equation y=$7.72(1.04)t. Find the amount of time after which he will be earning $10.00 per hour.

6.5978 years

Step-by-step explanation:

y=7.72(1.04)^t

10=7.72(1.04)^t

1.04^t=1.2953367875647668

log 1.04^t=log 1.2953367875647668

t log 1.04=log 1.2953367875647668

t=6.5978 years

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

ratio is 2 : 9

the answer is three

13.5 : 3