MATHEMATICS HIGH SCHOOL

if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Write the expression for the sum in the relation you want.

Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

Sn > 5543

35(1.06^n -1) > 5543 . . . . substitute for Sn

1.06^n -1 > 5543/35 . . . . divide by 35

1.06^n > 5578/35 . . . . . . add 1

n·log(1.06) > log(5578/35) . . . take the log

n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

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A share of stock in the Bree Medical Supply Company is quoted at 35 1/4 . Suppose you hold 20 shares of that stock, which you bought at 31 1/2. If you sold your stock at 35 1/4, which of the following would be true? A. You suffered a loss of $75.00.
B. You made a profit of $705.00.
C. You suffered a loss of $630.00.
D. You made a profit of $75.00.

Answers

In the given question, there are several information's of immense importance. The information's are:
Cost Price of a stock of Bree Medical Supply = 31 1/2
   = 63/2 dollars
Cost at which the 20 stocks of Bree Medical Company bought = (63/2) * 20
   = 630 dollars
Sale price of each stock = 35 1/4 dollars
Sale price of each stock = 141/4 dollars
Sale price of 20 stocks = (141/4) * 20
= 705 dollars
Then amount of profit made = (705 - 630) dollars
      = 75 dollars
So it can said that the statement you made a profit of $75 and so option "D" is the correct option.

Can anybody help e with this question ?? 9! - 5!

Answers

9! - 5!
(9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1)
(72 × 42 × 20 × 6 × 1) - (20 × 6 × 1)
(3024 × 120 × 1) - (120 × 1)
(362880 × 1) - (120 × 1)
362880 - 120
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The ratio of a model scal die cast motorcycle is 1:18. the model is 5.25 inches long. what is the length of the actual motorcycle in feet and inches?

Answers

1: 18 = 5.25/x
18(5.25)=1x
94.5=1x
94.5/1=1x/1
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