A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
The primes in the set [1,10] are 1,2,3,5,7 and the number of elements is 10 so
(5/10)(4/9)=20/90=2/9
which for some reason they converted to 4/18 :P
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Answer:
Part 1) The volume of the storage body is 576 cubic feet
Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
Part 3) Sheila can fit 64 boxes into the truck
Step-by-step explanation:
step 1
Find the volume of the storage body
we know that
The volume of the of the storage body is equal to the volume of two rectangular prism
The volume of a rectangular prism is equal to

First rectangular prism (top)

Second rectangular prism (bottom)

The volume of the storage body is

step 2
we know that
To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
step 3
substitute the given values

therefore
Sheila can fit 64 boxes into the truck