How do I find x using my givens ?
2 answers:
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Answer:
The amount of money after 12 years is $19581.99 to the nearest cents
Step-by-step explanation:
The formula of the compound continuously interest is V = P , where
- V is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ A person places $7320 in an investment account
∴ P = 7320
∵ The account earning an annual rate of 8.2%, compounded continuously
∴ r = 8.2% ⇒ divide it by 100 to change it to decimal
∴ r = 8.2 ÷ 100 = 0.082
∵ The time is 12 years
∴ t = 12
→ Substitute these values in the formula above to find V
∵ V = 7320
∴ V = 19581.99121 dollars
→ Round it to the nearest cents ⇒ 2 d.p
∴ V = 19581.99 dollars
∴ The amount of money after 12 years is $19581.99 to the nearest cents.
check the picture below.
a positive slope, means an increasing slope, namely, a line that is higher from left-to-right, so the right tip of it is going upwards. A negative y-intercept,
now, if you notice the 3 green lines, the line is increasing, the right-side is higher than the left-side, and the y-intercept, namely where x = 0, or where the graph touches the y-axis, their y-intercept is on a negative value of y.
now, look at the red line, it has also a positive slope, is increasing, however, there's no way it can have negative y-intercept. If it remains increasing, it can only have a y-intercept of 3 or higher, but not lower than that. The only way it can have a negative value for the y-intercept is if it tips over, but if we do that, the slope will be decreasing.
