Use the properties of exponents to rewrite y=3e^-0.6t in the form y=a(1+r)^t or y=a(1-r)^t. round the value or r to the nearest thousandth. then find the percent rate of change to the nearest tenth of a percent.

rewritten function:

the percent decrease is %

The value of r is 0.451

The percentage decrease is about 45.1%

Step-by-step explanation:

The given exponential function is

Using the exponent rule,

Now the value of

Thus, we can rewrite the function as

Therefore, the function in form

The value of r is 0.451

The percentage decrease is about 0.451 ×100 = 45.1%

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.