Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is
where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get
Divide both sides by 10.
Therefore, the missing dimension of the prism is 6 in.
Answer:
33
Step-by-step explanation:
Given that :
Card numbered from: 500 - 799
The required number of values must meet both conditions 1 and 2
Condition 1 : first of the 3 digits is odd :
500 - 599 = 100
700 - 799 = 100
(100 + 100) = 200 cards
Condition 2: three digits is divisible by 6
{500 - 599} and {700 - 799}
The numbers divisible by 6 are 33
For this problem, you would replace x with 7 then solve.
3/ (7+2) - sqrt(7-3) =
3/9 - sqrt(4) =
1/3 - 2 = -1 2/3 = -1.67
f(7) = 1
Answer:
no it would equal ANE
Step-by-step explanation:
This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily. We need to find t.
1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years
Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.
