Answer:
576 cubic cm
Step-by-step explanation:
l×w×h :) 12 is l , 6 is w, 8 is h !
2.98 ÷ 10.5 = .28
8.99 ÷ 27.8 = .32
The best deal is the 10.5 ounce package since the cost is 28 cent an ounce.
what I know is that 12 is less than 300 and divisible by 12/3=4, and12/4=3
Answer:
interest earned= 1436.143
the future value of an annuity= 2836.143
Step-by-step explanation:
Given Data:
Interest rate= 4%
time,t = 18 years
Annual payment, P= 1400
At the end of 18 years, final investment A= ?
As per the interest formula for interest
A= P(1+r)t
Putting the values in above equation
= 1400(1+0.04)^18
= 2836.143
Interest earned = A-P
= 2836.143-1400
= 1436.143 !
Answer:
Step-by-step explanation:
.
It is apparently obvious we could expand the bracket and integrate term-by-term. This method would work but is very time consuming (and you could easily make a mistake) so we use a different method: integration by substitution.
Integration by substitution involves swapping the variable for another variable which depends on x: . (We are going to choose for this question).
The very first step is to choose a suitable substitution. That is, an equation which is going to make the integration easier. There is a trick for spotting this however: if an integral contains both a term and it's derivative then use the substitution .
Your integral contains the term . The derivative is and (ignoring the constants) we see is also in the integral and so the substitution will unravel this integral!
Step 2: We must now swap the variable of integration from x to u. That means interchanging all the x's in the integrand (the term being integrated) for u's and also swapping (dx" to "du").
Then,
.
The substitution has made this integral is easy to solve!
Finally we can substitute back to get the answer in terms of x: