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Eva8 [605]
2 years ago
11

If 22x = 23, what is the value of x?

Mathematics
2 answers:
8090 [49]2 years ago
6 0

Answer:

x = 1.054.

Step-by-step explanation:

Given:  If 22x = 23

To find: what is the value of x.

Solution: We have that

                22x = 23

  On dividing both side by 22

     \frac{22x}{22} =   \frac{23}{22}.

x =  \frac{23}{22}.

x = 1.054

Therefore, x = 1.054.

               

Cerrena [4.2K]2 years ago
5 0
22x=23
x=23/22
.               
23/22=1.04545454545454545...
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George is considering two different investment options. The first option offers 7.4% per year simple interest on the
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Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

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  • P represents the original amount
  • r represents the  rate in decimal
  • t represents the time in years

∵ George deposits $10,000

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∵ He may not withdraw any of  the money for three years after

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∴ t = 3

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∴ A = 10,000 + 10,000(0.074)(3)

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The value of the simple interest investment at the end of three years is $12,220

Part B:

A=P(1+\frac{r}{n})^{nt}, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • n is a number of periods of a year
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∴ P = 10,000

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∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of  the money for three years after

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∴ t = 3

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∴ A=10,000(1+\frac{0.065}{4})^{(4)(3)}

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The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

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