Answer:
Step-by-step explanation:
Given
- Deposit = $10000
- Interest rate = 3.2% PA
- Interest type = compound
- Frequency = continuous
- Time = 6 years
Calculation
- Total = 10000*e^(rt) = 10000*e^(0.032*6) = $12116.71
Answer: As GH moves, the reflected image changes its position with respect to the position of the line. The polygons will touch one another if the line of reflection touches polygon ABCD.
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
Answer:
it is a mixed number the number is 1 1/2
Step-by-step explanation:
Total cost = 1.50 per bottle
y = 1.50x
If x = 1, y = $ 1.50 (1,1.5)
If x = 2, y = $ 3.00 (2,3)
If x = 3, y = $ 4.50 (3, 4.5)
If x = 4, y = $ 6.00 (4, 6)
There are your 4 sets of ordered pairs to graph.
You could continue with more x-values to get more ordered pairs.