Answer:
FV= $22,536.5
Step-by-step explanation:
Giving the following information:
Growth rate (i)= 1% monthly
Present value (PV)= $20,000
Number of periods= 12 months
<u>To calculate how much will the employee earn after a year, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 20,000*1.01^12
FV= $22,536.5
Answer:
<u>∠ABC = 39°</u>
Step-by-step explanation:
Since ED bisects ∠CBD :
<u>∠EBD = ∠CBE = 30°</u>
<u />
Now, <u>∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°</u>
Solving :
- 99° = ∠ABC + 30° + 30°
- ∠ABC = 99° - 60°
- <u>∠ABC = 39°</u>
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;

= 0.000105
= 0.0016
= 0.01062
= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
= 0.432
The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
Answer:
120
Step-by-step explanation:
2(60)
120
Quick maths.