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I am Lyosha [343]
3 years ago
7

A $3,500 principal earns 3% annual interest, compounded semiannually (twice per year). After 20 years, what is the balance in th

e account?
a. $7,700.00 b. $4,713.99 c. $5,600.00 d. $6,349.06
Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0
How many semiannual periods are there in 20 years... 20×2 = 40

FW = PW(1+i)^N
FW = $3500(1+0.03)^40

solve for FW
(sorry no calculator on me)
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In 1984 a locally-owned car company sold 2,743 cars. In 2003, the car sales rose to 4,069. What was the average rate of change f
tatiyna

Answer:

70 cars  per year.

Step-by-step explanation:

Given:

In 1984 a locally-owned car company sold 2,743 cars.

In 2003, the car sales rose to 4,069.

Question asked:

What was the average rate of change for the total number of cars sold?

Solution:

In 2003 number of cars sold = 4069

In 1984 number of cars sold = 2743

Change in the number of car sold = 4069 - 2743

                                                         = 1326

Now, time interval between 2003 and 1984 = 19

The\ average\ rate\ of\ change=\frac{Change\ in\ the\ number\ of\ car\ sold}{Time \ interval}

                                             =\frac{1326}{19} \\=69.789\\\\=70\ cars\ per\ year\  (approx)

Thus, the average rate of change for the total number of cars sold is 70 cars  per year.

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3 years ago
If a storm window is 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide
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\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{\textit{6 more than \underline{w}}}{w+6}\\ A=315 \end{cases}\implies 315=(w+6)(w) \\\\\\ 315=w^2+6w\implies 0=w^2+6w-315 \\\\\\ (w+21)(w-15)=0\implies w= \begin{cases} -21\\ \boxed{15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill w=15\qquad \stackrel{w+6}{L=21}~\hfill

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Answer:

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Step-by-step explanation:

Perpendicular lines have slopes whose product is -1. That is ...

  -6m = -1

  m = 1/6 . . . . . divide by -6

7 0
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Answer:

Well i dont know what all the sides/angles are called but no they are not congruent.

Step-by-step explanation:

Congruent, means for the 2 objects, shapes, etc. to be exactly the same. If you look at the triangles, they are not the same shape of triangle.

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