Answer:
A
Step-by-step explanation:
The graphs are attached.
First of all, the day proposal goes out, 25 people know, so the initial condition is y = 25 at x = 0.
Hence, graph would start at y = 25.
Looking at the graphs, we can eliminate B and D immediately because they start at 50.
Now, it says every day, this number (y) triples, so 1 day after, it would be:
25 * 3 = 75
So, the graph would show x = 1 and y = 75
We can eliminate "C" as it doesn't show 75 at x = 1.
And we look at A and it is correct.
So,
A is the graph of the situation represented.
Answer:
There is no equation to answer
Step-by-step explanation:
(4, -6) e (-2, 1)
a = Δy / Δx
a = (y-yo) / (x-xo)
a = [1-(-6)] / (-2-4)
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Two equations
let c the calories in carrot
let h the <span>calories in </span><span>hershey's kisses
</span><span>
4c + 8h = 230 eq 1</span>
10 c + 7 h = 263 eq 2
to solve the solution we multiply eq 1 by 10
we multiply <span>eq 2 by 4
</span>
40 c + 80 h = 2300
40c + 28 h = 1052
we subtract the two equations we get
52 h = 1248
h= 24
and so in replacing h = 24 in the equation we get c = 9.5
