Let the number of years after 2001 be x, then
1280000 + 19500x = 1700000
19500x = 1700000 - 1280000 = 420,000
x = 420000/19500 = 22 years.
x = 22 years.
Answer: 10 times
Step-by-step explanation:
1 litre = 1000 ml
6 litres = 6000 ml
Lawnmover holds 600 ml
So 6000 ml will fill
6000/600 = 10 times
We'll use the exponent rule that a^(b+c) = a^b*a^c
to break up 17^16 into 17^(14+2) = 17^14*17^2
That allows us to factor like so
17^16+17^14
17^14*17^2+17^14*1
17^14(17^2 + 1)
Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.
Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290
Because 290 ends in a 0, this means that 5 is a factor
290 = 5*58
This makes 5 to be a factor of the original expression.
----------------
So overall,
17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58
The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.
Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.
Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.
Perimeter of a square = 4s = 20ft
s = 20/4 = 5 feet
New length = 5 + 2 = 7 ft
New width = 5 - 1 = 4ft
New perimeter = 2(7 + 4) = 2(11) = 22ft
A reasonable estimate could be any number that makes sense. Say the average elementary student is 4' 10" then a reasonable estimate could be 3' to 3' 6" because the desk would be about a 1' 6" shorter than the person.
