Answer:
-9/7
Step-by-step explanation:
(-2, 6) (5, -3)
slope = (y₂-y₁)/(x₂-x₁)
slope = (-3-6)/(5--2)
slope = -9/(5+2)
slope = -9/7
Answer:
(1, 4)
Step-by-step explanation:
(x + 1 < 5) is solved by subtracting 1 from both sides of this inequality:
x < 4.
(x - 4 > -3) is solved by adding 4 to both sides: x > 1.
The solution of (x + 1 < 5) ∩ (x - 4 > -3) is thus (1, 4).
principal: $600
interest rate 7%
time:?
For simple interest, the amount of interest (I) is calculated from the principal (P), the annual rate (r) and the number of years (t) using the formula
... I = P·r·t
Fill in the given numbers, and solve for t.
... 84 = 600·0.07·t . . . of course, you know that 7% = 7/100 = 0.07
... 84 = 42t . . . . . . . . simplify
... 84/42 = t = 2 . . . . divide by the coefficient of t
The time period is 2 years.
Total = Principal × ( 1 + Rate ) ^ years
(Solved by taking logarithms)
Years = log (total / principal) / (log (1 + rate))
Years = log (684 / 600) / (log 1.07)
Years = log (1.14) / (log (1.07)
Years = 0.0569048513364726 / 0.0293837776852097
Years = 1.9366077414
1) 22.7 miles per hour
2) 2.64 miles per hour
3)2.2 miles per hour
4) 1.83 miles per hour