Given Function: <span>x + 3y=1
Solve into y=mx+b form
subtract x from both sides
3y=1-x
Divide both sides by 3
y= 1/3 - x/3
The graph is neither vertical or horizontal. It has a decreasing slope </span>
Answer:
Step-by-step explanation:
All you do is multiply straight across [both denominator and numerator] to arrive at your answer. Then, multiplying two <em>x</em>'s together gives you 
. So, with all that being said, you have your answer.
I am joyous to assist you anytime.
The answer is choice D
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Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
$260
I don’t know what model/formula you are supposed to be using.
But what I did first was calculated what 30% of 2700$ is.
2700 x .3 = 810
So it depreciates $810 per year.
$810 x. 3 years = 2430
2700 - 2430 = 260
In three years, the laptop will be worth $260
