Answer:
Step-by-step explanation:
The -4 makes the waves taller (Amplitude 4), and the negitive flips over x-axis.
In (3x-pi) The three compresses horizontally making the waves tighter. The -pi shifts the funtion pi to the right.
The +5 shifts up five.
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
<h3>How long would it take $1000 to become $1,400?</h3>
With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
- FV = future value
- PV = present value
- r = interest rate
(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
To learn more about how to determine the number of years, please check: : brainly.com/question/21841217
#SPJ1
2t^2+1
Subtract t^2 from 3t^2 you get 2t^2
which is 2t^2+1 answer
1/3 - 1/4 = 4/12 - 3/12 = 1/12....Fluffy's tail is 1/12 meters longer then Fireball's tail
<h3>
Answer: 2.2 units</h3>
============================================
Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C

Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
---------
Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).