Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
Answer:
List all of the solutions.
50km=
9minutes=
14km=
Step-by-step explanation:
PLZ HELP ASAP
Answer:
the 2nd one I think i mean I forget stuff but not math that much
5 of the text is an article about
endangered species, what fraction of the cover page is the article about endangered species
Answer:
The answer is 0.15
Step-by-step explanation:
In this 2/5 of 3/8 is about endangered species
Therefore to obtain the answer we need to multiply the two fractions
2/5 × 3/8
Fraction of the cover page about endangered species is therefore = 2/5 × 3/8
= 0.15
46
11.5
23
Consider the ordering
... -2 < -1
Now consider the ordering of their absolute values:
... 1 < 2
_____
Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.
Given Information:
Annual interest rate = r = 12%
Principal amount = P = $1000
Number of years = t = 3
Required Information
Accumulated amount = A = ?
Answer:
Annual compounding = A = $1404.93
Semi-annuall compounding = A = $1418.52
Quarterly compounding = A = $1425.76
Monthly compounding = A = $1432.30
Daily compounding = A = $1433.14
Step-by-step explanation:
The accumulated amounts in terms of compound interest is given by
Where P is the initial amount invested and A is the accumulated amount.
For annual compounding:
i = 0.12
N = 3
For semiannually compounding:
i = 0.12/2 = 0.06
N = 2*3 = 6
For quarerterly compounding:
i = 0.12/4 = 0.03
N = 4*3 = 12
For monthly compounding:
i = 0.12/30 = 0.004
N = 30*3 = 90
For daily compounding:
i = 0.12/365 = 0.0003287
N = 365*3 = 1095