1) Either or
∦
(only two possibilities)
2) Assume (one of two possibilities)
3) (if two parallel lines are cut by a transversal, the corresponding angles are congruent)
4) But is not congruent to
(given)
5) So ∦
(only other possibility)
Answer:
The equation of the line is:
Step-by-step explanation:
Given the points
Finding the slope between the points
Using the point-slope form of the line equation
where m is the slope
substituting the values m = -1 and the point (-3, 8)
Add 8 to both sides
Therefore, the equation of the line is:
Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
Let us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ <em>r </em>= 7% = = 0.07
∴ <em>n</em> = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ <em>A</em> = 19,280.02
∴ <em>t </em>= 13
Substitute these values in the rule above to find <em>P</em>
∵
∴
→ Divide both sides by
∴ 7,821.99888 = <em>P</em>
→ Round it to the nearest dollar
∴ 7,822 = <em>P</em>
∴ <em>P</em> = $7,822
∴ The initial amount of investment was $7,822.