Jasmine bought a new stereo system for $480.50 if the tax rate is 6 1/2 what was the total cost of the stereo system?

$511.7

Step-by-step explanation:

Given data

Cost of stereo system= $480.50

Tax= 6 1/2% = 6.5%

Let us find the amount of the tax

=6.5/100*480.5

=0.065*480.5

=$31.2

Hence the amount of the tax = $31.2

Therefore the total cost is

=31.2+480.50

=$511.7

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: