Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.
Step-by-step explanation:
- Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
- Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.
⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50
⇒ 1.58 C + 31.2 - 0.78 C = 60
⇒ 1.58 C - 0.78 C = 60 - 31.2
⇒ 0.8 C = 28.8
⇒ C = 36 pounds
- Step 3: Calculate number of pounds of walnuts
⇒ Number of pounds of walnuts = 40 - C = 4 pounds
The sum can be rewritten as y=4x, where y=f(x).
Now, we can rewrite the equation a x=y/4
Therefore, inv(f(x))=x/4
Use this equation:
A = P(1+r)^t
Where A is the final amount
P is the initial amount
r is the annual rate
t is the time in years
P = 1500
r = 0.07
t = 3
A = 1500 (1.07^3)
≈ $1837.56
Have an awesome day! :)
Answer:
Trends:
In the graph or a table you easily can see trends in the data, for example, parts where if x increases also does y, or things like that.
Of course you, with some mathematical knowledge, also can notice those things when you have the equation, so this is a thing that the 3 have in common.
Range:
You usually can see the whole range (all the possible y values) of your equation by looking at the graph or the data set. And obviously, if you have the equation you can easily find the range of it.