Answer: C
Step-by-step explanation:
Simplify(Subtract 2)
x > 0
Greater than is represented by a open circle with an arrow pointing right. Because x is greater than <u>0</u>, the point must be on 0.
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Answer:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
After noon:
Noon is 3 hours after 9 AM, so
So in x hours after noon, the value is given by:
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
In how many hours will the prices of the two stocks be the same?
This is x for which:
The prices of the two stocks will be the same in 1.56 hours.
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- <em>A</em> is the future value of the investment/loan, including interest
- <em>P</em> is the principal investment amount
- <em>r</em> is the annual interest rate (decimal)
- <em>n</em> is the number of times that interest is compounded per unit t
- <em>t</em> is the time the money is invested or borrowed for
Let us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ <em>r </em>= 9% = = 0.09
∴ <em>n</em> = 3 ⇒ three times per year
∵ The time is ten years
∴ <em>t </em>= 10
Substitute these values in the rule above to find <em>A</em>
∵
→ Use your calculator to find the answer
∴ <em>A </em>= 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ <em>A</em> = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.