Answer:
3.The angle is 24°
4.120°
Step-by-step explanation:
There are 360° in a complete revolution thus for 15 equally space spokes, the angle between every spoke is given by 360° ÷ 15 =24°
In a clock, a complete revolution yields 360°. For a 20 minutes turn, the minute hand will cover (360° ÷ 12) × 4 =120°
Step-by-step explanation:
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Divide 3 by 6 and then multiply -2/3 by 3/1
1/2x - 2
Answer: I believe it is option 1
Step-by-step explanation:
The points should be going through (-2,0) (0,4)