An employee receives an hourly rate of $20, with time and a half for all hours worked in excess of 40 during the week. Payroll data for the first week of the calendar year are as follows: hours worked, 42; federal income tax withheld, $140; Social security tax rate, 6%; and Medicare tax rate, 1.5%; state unemployment tax, 5.4% on the first $7,000; federal unemployment tax, 0.8% on the first $7,000. What is the net amount to be paid to the employee? If required, round your answers to the nearest cent.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

pls ask

77

step-by-step explanation:

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!