Answer:
Step-by-step explanation:
<em>y</em> = 10(- 1) - 3 = <em>- 13</em>
<em>y</em> = 10(0) - 3 = <em>- 3 </em>
<em>y</em> = 10(1) - 3 =<em> 7 </em>
<em>y</em> = 10(5) - 3 = <em>47</em>
The speed of wind and plane are 105 kmph and 15 kmph respectively.
<u>Solution:</u>
Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.
We have to find the air speed of the plane and speed of the wind.
Now, let the speed wind be "a" and speed of aeroplane be "b"
And, we know that, distance = speed x time.
Now at head wind → 
So, solve (1) and (2) by addition
2a = 210
a = 105
substitute a value in (1) ⇒ 105 + b = 120
⇒ b = 120 – 105 ⇒ b = 15.
Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.
Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.
Answer: the tuition in 2020 is $502300
Step-by-step explanation:
The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500
The fee in 2018 is the 19th term of the sequence. Therefore,
T19 = $45,4120
n = 19
Therefore,
454120 = 20500 + (19 - 1) d
454120 - 20500 = 19d
18d = 433620
d = 24090
Therefore, an
equation that can be used to find the tuition y for x years after 2000 is
y = 20500 + 24090(x - 1)
Therefore, at 2020,
n = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
9514 1404 393
Answer:
445.10 feet
Step-by-step explanation:
The relation between angle of depression and distance to the boat is ...
Tan = Opposite/Adjacent
tan(angle of depression) = (200 ft)/(distance to boat)
Then the distance to the boat is ...
distance to boat = (200 ft)/tan(angle of depression)
__
We want the change in distance between the two angles, so ...
change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')
= (200 ft)(cot(17°31') -cot(46°41'))
change in distance ≈ 445.10 ft
1.425 gallons of apple juice are in one container
I got this because if she starts with 6 gallons and she’s left with 0.3 gallons, you would need to subtract 6 by 0.3 (6-0.3=5.7). So now you know how much is in 4 bottles. Now you need divide 5.7 by 4 to find out how much is in each container (which is 1.425).
