The factors of 18 are 1,2,3,6,9,18 and the factors of 72 are 1,2,3,4,6,8,9,12,18,24,36 and 72.
The classic formula relating rate (also called “average speed”), time and distance is:
r x t = d
That is, rate x time equals distance. The problem statement asks us for the rate and gives us the time (6 hours) and distance (480 miles). We can substitute those values into the classic formula:
r x 6 hours = 480 miles
To solve for r, we divide the terms on both sides of the equal sign by 6 hours. This works because the two sides are equal and we treat them equally by dividing the two sides by the same amount, so the results should be equal. Thus we get:
r = 480 miles/6 hours
Simplifying, we get:
r = 80 miles/hour
To CHECK, let’s plug back into the original equation:
r x t = d
80 miles/ hour x 6 hours = 480 miles
480 miles = 480 miles which is true. Yippee.
The rate that will double Lars deposit of $50 in 29 years will be calculated as follows:
Suppose the account used was using compound interest. Thus to determine his future value we shall use the formula:
FV=P(1+r)^n
where:
FV is future value
p=principle
r=rate
n=periods
from the information given
FV=$100
p=$50
n=29 years
we are required to find r
thus
100=50(1+r)^29
100/50=(1+r)^29
2=(1+r)^29
2^(1/29)=1+r
1.02419=1+r
hence:
r=0.02419~2.419%
Using the 45 45 90 right triangle theorem to solve this problem, where the isosceles sides are x and the hypotenuse is xrad2
the answer is A, 8
hope this helped!
9.8 is a rational number that is between 9.7 and 9.9. Hope this helps!
