Answer:
Annuity C: Deposit $72,000 one lump sum
Step-by-step explanation:
The yield is improved when the money is on deposit for a longer period.
If the $2400 annual deposit is made at the first of the year, then it will yield more than $600 deposits made at the first of each quarter.
If the $72,000 deposit is made at the beginning of the period, the entire amount is earning interest for the entire period.
Annuity C will provide the largest yield.
25 $.
4 (dollars per game) x 5 (how much games) = 20.
+ 5 $ for one shoe rental.
Answer:
A. We have two lines: y = 2-x and y = 4x+3 Given two simultaneous equations that are both required to be true.. the solution is the points where the lines cross... Which is where the two equations are equal.. Thus the solution that works for both equations is when 2-x = 4x+3 because where that is true is where the two lines will cross and that is the common point that satisfies both equations. B. 2-x = 4x+3 x 2-x 4x+3
______________
-3 5 -9
-2 4 -5
-1 3 -1
0 2 3
1 1 7
2 0 11
3 -1 15
The table shows that none of the integers from [-3,3] work because in no case does
2-x = 4x+3 To find the solution we need to rearrange the equation to the form x=n 2-x = 4x+3 2 -x + x = 4x + x +3 2 = 5x + 3 2-3 = 5x +3-3 5x = -1 x = -1/5 The only point that satisfies both equations is where x = -1/5 Find y: y = 2-x = 2 - (-1/5) = 2 + 1/5 = 10/5 + 1/5 = 11/5 Verify we get the same in the other equation y = 4x + 3 = 4(-1/5) + 3 = -4/5 + 15/5 = 11/5 Thus the only actual solution, being the point where the lines cross, is the point (-1/5, 11/5) C. To solve graphically 2-x=4x+3 we would graph both lines... y = 2-x and y = 4x+3 The point on the graph where the lines cross is the solution to the system of equations ... [It should be, as shown above, the point (-1/5, 11/5)] To graph y = 2-x make a table.... We have already done this in part B x 2-x x 4x+3 _______ ________ -1 3 -1 -1 0 2 0 3 1 1 1 7 Just graph the points on a cartesian coordinate system and draw the two lines. The solution is, as stated, the point where the two lines cross on the graph.
Hope this helps.
Step-by-step explanation:
Answer:
The function describes the motorboat's distance from the shore 
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change = 
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Answer:
69
Step-by-step explanation:
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