Answer:
t=7.27 years
Step-by-step explanation:
Let the money be p and t will be the number of years that will be needed for the money to get double.
ATQ, 2p=p*(1+0.1)^t
2=(1.1)^t
log(2)/log(1.1)=t, t=7.27
Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
THE ALTERNATIVE IS THE 847
20 miles an hour is a slope of 20 on the miles versus hours graph.
<em>Graph equivalent ratios following a pattern of moving right 1 and up 2 from the original point. </em>
There's no grid shown. Assuming the ticks are 1 each on x and y, right one up two gives a slope of 2, not 20; check that it doesn't say "up 20". If it does check it, as written don't.
<em>Draw a line from the origin that connects all the points. </em>
Is this one of the checkables? If so CHECK ME. The line will have a constant slope of 20 mph.
Every point on the line is an equivalent ratio.
CHECK ME. Is this different than the last one? Yes, each point on the line has a constant ratio, it's 20 miles per hour.
As the line goes up, the speed increases.
The speed is the slope of the line. As we go along a line with constant slope, the speed doesn't change. Don't check.
Alexander can pick any ratio of miles per hour on the line and he will be biking at 20 mph.
Any pair (h,m) on the line through (0,0) and (1,20) will always have m/h=20mph. He can't really pick any ratio; it's always equivalent to 20mph. But as long as he picks from this line he'll be biking at 20mph, so let's CHECK THIS.
Answer:
x^2-18x+y^2+18y+137=0
express both x and y term in completed square form
(x-9)^2 -81+(y+9)^2-81+137=0
(x-9)^2+(y+9)^2-25=0
(x-9)^2+(y+9)^2=5^2
here the x coordinate of the centre is +9
y coordinate is -9(the negative value of the value associated with the x and y square brackets)
radius=5
