Answer:
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The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.
Given that:-
Price of the laptop after 1 year = $ 400.
Inflation rate = 2.5 %
We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.
Let the price he had to pay be x.
Hence, we can write,
x + (x*(2.5)*1)/100 = 400
x(1 + 1/40) = 400
x(41/40) = 400
x = 400*40/41 = $ 16000/41 = $ 390.24.
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For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer: 2 minutes
Step-by-step explanation:
Given the following :
Plane A's descent :
y = -2,500x + 14,000
Plane B's Ascent :
y = 4,000x + 1,000
where y = altitude x = minute
Time to be at the same altitude :
Being at the same altitude means ;
Plane A's descent = Plane B's Ascent
-2,500x + 14,000 = 4,000x + 1,000
-2500x - 4000x = 1000 - 14000
-6500x = - 13000
x = 13000 / 6500
x = 2
x = 2minutes.
Answer:
415
Step-by-step explanation:
the nth term of the sequence is -13 + 4n
the sequence is an arithmetic progression with nth term a + (n - 1)d
a = -9, d = a5- a4 = 7 -3 =4
nth = -9 + (n -1) 4
= -9 + 4n -4
= -13 + 4n
hence the 107th term; -13 + 4*107
-13 + 428 = 415
