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yulyashka [42]
2 years ago
10

Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the inter

est earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Mathematics
1 answer:
aleksklad [387]2 years ago
4 0

Answer:

c

Step-by-step explanation:

you would do

m = money overall

(m*1.08) +3000= you would do that twelve times

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Find the volume of the cylinder
gizmo_the_mogwai [7]

Step-by-step explanation:

volume of cylinder formula pi*r²*h

radius of 9cm is 4.5 as 9/2

so 4.5²*15 is 303.75cm

303.75*pi is 303.75picm³

8 0
2 years ago
How to find the average squared distance between the points of the unit disk and the point (1,1)
ddd [48]
The unit disk can be parameterized by the function

\mathbf p(r,\theta)=(r\cos\theta,r\sin\theta)

where 0\le r\le 1 and 0\le\theta\le2\pi. The squared distance between any point in this region (x,y)=(r\cos\theta,r\sin\theta) and the point (1, 1) is

(x-1)^2+(y-1)^2=(r\cos\theta-1)^2+(r\sin\theta-1)^2
=(r^2\cos^2\theta-2r\cos\theta+1)+(r^2\sin^2\theta-2r\sin\theta+1)
=r^2(\cos^2\theta+\sin^2\theta)-2r(\cos\theta-\sin\theta)+2
=r^2-2r(\cos\theta-\sin\theta)+2

The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.

\dfrac{\displaystyle\iint_{x^2+y^2
=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}
=\dfrac{\frac{5\pi}2}\pi=\dfrac52
5 0
3 years ago
The figure shown below is a rhombus. Give the angle value (numerical, not the letters.
Rzqust [24]

Answer:

90 deg

Step-by-step explanation:

Recall that for a rhombus, the diagonals always intersect at right angles.

Hence angle PXM is 90 deg

6 0
3 years ago
Read 2 more answers
The function f is given in three equivalent forms.
Reil [10]

Answer:

C     Vertex is (2, 27)

Step-by-step explanation:

C     Vertex is (2, 27)

3 0
3 years ago
Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat
Taya2010 [7]

Answer:

\displaystyle \left(1,\frac{5}{12}\right)

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

w=mt+b

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

0=m(0)+b

It follows that b=0

The equation now takes the form:

w=mt

Using the point (12,5):

5=m(12)

We find m:

\displaystyle m=\frac{5}{12}

The final equation is:

\displaystyle w=\frac{5}{12}\cdot t

Substituting t=1:

\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

\boxed{\displaystyle \left(1,\frac{5}{12}\right)}

6 0
3 years ago
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