A tortoise can reach speeds of 0.12 m/s. Work out the speed of a tortoise in
1 answer:
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Answer:
Point of intersection (-11/3 , 1/3)
All distances from the vertices are
Step-by-step explanation:
The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)
We need to find the perpendicular bisector of the triangle first
let's take one side connecting A and B
mid point of A and B = (-1,3)
Slope of the line joining A and B = -1
slope of perpendicular to line joining A and B = 1
equation of line passing through (-1,3) with slope 1
y - 3 = 1(x-(-1))
y -3 = x+1
x-y = -4 ............(1)
similarly
mid point joining B and C = (-3,-1)
slope perpendicular to line joining B and C = -2
Equation of perpendicular bisector of line joining B and C =
y +1 = -2(x +3 )
y+1 = -2x -6
2x+y = -7 ..........(2)
On solving 1 and 2
x= -11/3 , y= 1/3
Distances
From A =
From B =
From C =
Answer:
<h3><u>Option 1</u></h3>Earn $50 every month.
- Let x = number of months the money is left in the account
- Let y = the amount in the account
- Initial amount = $1,000
This is a <u>linear function</u>.
<h3><u>Option 2</u></h3>Earn 3% interest each month.
(Assuming the interest earned each month is <u>compounding interest</u>.)
- Let x = number of months the money is left in the account
- Let y = the amount in the account
- Initial amount = $1,000
This is an <u>exponential function</u>.
<h3><u>Table of values</u></h3><u />
From the table of values, it appears that <u>Account Option 1</u> is the best choice, as the accumulative growth of this account is higher than the other account option.
However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month. To find this, graph the two functions and find the <u>point of intersection</u>.
From the attached graph, Account Option 1 accrues more until month 32. From month 33, Account Option 2 accrues more in the account.
<h3><u>Conclusion</u></h3>If the money is going to be invested for less than 33 months then Account Option 1 is the better choice. However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.
