The answer to the question is a
Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC = 
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,

The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
M + n²
= (2) + (-2)²
= 2 + 4
= 6
answer is A. 6
because negative times negative = positive
18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.
Step-by-step explanation:
The given is,
Population of 4000
Rate of grow 3.5% every year
Population after few years 7500
Step:1
Formula to calculate the population with the grow rate every year,
..........................(1)
Where,
F - Population after t years
P - Initial population
r - Rate of grow
t - No.of years
From given,
F = 7500
P = 4000
r = 3.5%
Equation becomes (1),


1.875 = 

Take log on both sides,

Substitute log values,


= 18.273
t = 18.273 year
or
t = 18 years 3 months 2 weeks
Result:
18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.
Answer:
$511.5
Step-by-step explanation:
Given: Selling price of bike at Danny´s shop is $550
Bike is sold 7% less at competitor´s shop.
Lets find the discounted amount at Danny´s competitor shop.
∴ 
Now, finding the cost of bike at Danny´s competitor.
Cost of bike at Danny´competitor= 
Cost of bike at Danny´s competitor= 
∴ Cost of bike at Danny´s competitor is $511.5.