Customer: "I made an agreement with my daughter that I will pay 60% of the cost of any product she chooses. Today she is interes

The parametric equations defining the tangent line are:x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:Z=2t=20 ⇒ t=10

The point where tangency occurs is:

r(10)= Cos(10)

i

+ Sin(10)

j

+ 20 kTo derive the tangent line, we need the derivative of r(t):r'(t)= -Sin(t)

i

+ Cos(t)

j

+ 2 kThe directional vector at t=10 yields:r'(10)= -Sin(10) i

+ Cos(10)

j

+ 2

kThus, the equation for the tangent line can be formatted as:x = cos (10) - t×Sin(10)

y = sin (10) + t×Cos(10)

z = 20 + 2t

You can hire 40 clerks. Hope this information is useful.

This issue involves a basic dimensional analysis. We are required to express the rate of 0.992 atm/m in the unit of atm/km.

In straightforward terms, dimensional analysis means converting a measurement into a different unit using conversion factors.

For this case, the necessary steps are:



We observe that 1000 meters = 1 kilometer was used as the conversion factor to change atm/m into atm/km. Consequently, we conclude with the answer 992 atm/km.

Answer:

25%

Step-by-step explanation:

George has a wealth that is 33% (%) greater than Pete's. Let’s assume Pete's wealth percentage is 100%.

Thus, George's wealth percentage = 100% + %

                                                           = %

                                                           = 133%

To find out how much poorer Pete is compared to George, we can calculate;

                                                           = ÷ × 100

                                                           = × × 100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% less wealthy than George.

1. 200% =2
5000 multiplied by 2 equals 10000
2.50% = 0.5
10000 multiplied by 0.5 equals 5000