Answer:
The approximate monthly rate of growth is 1.24%
Step-by-step explanation:
we have the future value formula

we have
----> annual interest rate
so


Find the approximate monthly rate of growth
Remember that

so
Divide the number of periods t by 12

Applying power rules property



Convert to percentage

therefore
The approximate monthly rate of growth is 1.24%
This kind of exercise can be real drudgery. But it's almost all simple arithmetic, so better you than me. I'll do one of these for you, which will show you how to do the other one.
a). sin · cot / sec
You're supposed to know that [ cotangent = cosine/sine ]
and [ secant = 1/cosine ].
Then the problem becomes
sin · (cos/sin) / (1/cos) = cos²
Aw shucks, I might as well also set up 'b)' for you:
b). cos · csc / tan
You're supposed to know that [ cosecant = 1/sine ]
and [ tangent = sine/cosine ].
Then the problem becomes
cos · (1/sin) / (sin/cos) = (cos/sin)²
Now simply plug in the given values of cos A and sin A .
And may I compliment you on your nail care !
Answer:
It will take you 0.24 hour to ride to your grandparents’ home
It will take you 14 minutes to ride to your grandparents’ home
Step-by-step explanation:
- Your average speed is 15 miles per hour
- The distance to grandmother home is 3.67 miles
- You need to know how long it will take you to do that
∵ Distance = speed × time
∵ Distance = 3.67 miles
∵ Speed = 15 miles per hour
- Substitute these values in the rule above
∴ 3.67 = 15 × time
- Divide both sides by 15 to find the time
∴ Time = 0.24 hour
* It will take you 0.24 hour to ride to your grandparents’ home
- You need to convert the time from hour to minutes
∵ 1 hour = 60 minutes
∵ Time = 0.24 hour
∴ Time = 0.24 × 60 = 14.4
∴ Time ≅ 14 minutes
* It will take you 14 minutes to ride to your grandparents’ home
Answer:
2^40.
Step-by-step explanation:
(4^4)^5
= 4^(4*5)
= 4^20
= (2^2)^20
= 2^40.
Answer:
A:5
Step-by-step explanation:
if it asks for parallel it will always be the same slope