Answer:
slope is 2/3
Step-by-step explanation:
the x values are going up by 2. the y values are going up by 3.
The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...
... A = P(1 +r/n)^(nt)
Putting your given numbers into the formula, we have
... 876.34 = 300(1 +.06/4)^(4t)
Taking logarithms, this becomes the linear equation
... log(876.34) = log(300) + 4t·log(1.015)
Solving for t in the usual way, we get
... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right
... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t
It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.
23 counting numbers less than 500 are square numbers
(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =
= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =
= 10y + 7y + 7y + 4y - 4 + 8 - 5 - 5 = <u>2</u><u>8</u><u>y</u><u> </u><u>-</u><u> </u><u>6</u>