so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.
cross multiply: 100x = 813555
divide each side by 100 to isolate x: 8135.55
the truck driver will pay $8135.55
Answer:
9 inches deep
Step-by-step explanation:
12 inches - 3 inches = 9 inches
Answer:
- $855,000
- Dividend per share of common stock = $1.06
Step-by-step explanation:
1. Preferred Share dividends.
There are 300,000 preference shares and each of them got $2.85. Total dividends are;
= 300,000 * 2.85
= $855,000
2. Total dividends = $3,500,000
Dividends left for Common Shareholders (preference gets paid first)
= 3,500,000 - 855,000
= $2,645,000
Common shares number 2,500,000
Dividend per share of common stock = 
= $1.06
Let's start by grouping like terms so we can factor out the most
(4x^4+24x^3)+(12x^2+8x)
now let's factor out as much as possible. we see all coefficients are multiples of 4, we will also factor out as high a degree of x as we can
4x^3(x+6)+4x(3x+2)
now we see that we still have a common multiple of 4x that we can remove
4x(x^2(x+6)+(3x+2))
so we find 4x is the largest value we can factor out
Answer:
The probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the travel times to get to work.
The expected travel time is, <em>μ</em> = 38.3 minutes.
The distribution of random variable <em>X</em> can be defined as the distribution of time interval between which a person reaches their work place at a constant average rate.
This implies that <em>X</em> follows an Exponential distribution with parameter,
.
The probability density function of <em>X</em> is:

Compute the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work as follows:




Thus, the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.