Answer:
30°
Step-by-step explanation:
Angle C = 55°, Angle D = Angle A = 65°, Angle B = 2x
Sum of angles in a triangle = 180°
65° + 55° + 2x = 180
120 + 2x = 180
2x = 180 - 120
2x = 60
x = 30°
Answer:
Take deep breaths and focus, don't be afraid to ask for help.
Good luck!
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes, so we can find the slope:
Thus, the equation is of the form:
We substitute one of the points and find "b":
Finally, the equation is of the form:
ANswer:
