Answer:
$637.50
Step-by-step explanation:
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
There is 0.00105669 quarts in a milliliter

Setting

, you have

. Then the integral becomes




Now,

in general. But since we want our substitution

to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means

, which implies that

, or equivalently that

. Over this domain,

, so

.
Long story short, this allows us to go from

to


Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get

Then integrate term-by-term to get


Now undo the substitution to get the antiderivative back in terms of

.

and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
For the answer to the question above asking h<span>ow many more book does the other grade need to read to have the same rate?
I think the answer here is </span>the 7 grader needs to read 94 more books in order to catch up with 6 grade.