red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawrence, at a constant speed of 12 km/h. when t=0, the red bike is 10 km north and the blue bike is 6 km east of Lawrence a. express the distance of the red bike from Lawrence, R, as a function of time in hours, t. b. express the distance of the blue bike from Lawrence, B, as a function of time in hours, t.

a.

b.

Step-by-step explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

b.

Distance of the blue bike from Lawrence

The answer is in the image 

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.