If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.

q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 = ( multiply both sides by 16 )

464 = k

p = ← equation of variation

when p = 116 , then

116 = ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4

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

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

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

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg