Find how much interest is earned for one year: $3000 x .015 = $45
Use that answer to find how much interest is earned for 15 years: $45 x 15 years = $675
Add original investment to interest for balance: $3000 + $675 = $3675

5 0

3 years ago

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

8 0

3 years ago

Solve for the missing value in the proportion:

OverLord2011 [107]

Answer:

Step-by-step explanation:

6/9=18/27

I just divided 27 by 3 which is 9

8 0

2 years ago

To make a ribbon wreath, Casey needs 10 1/2 yards of ribbon. Each package of ribbon contains 3 3/4 feet of ribbon. How many pack

kvasek [131]

The answer is 8.4 so you would need 9 rolls of ribbon

6 0

3 years ago