The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.
Then we have the following:
1) 22% grow
y = a( 1 + 22%/100 )^x = a(1.22)^x
So the solution is: 124(1.22)^x
2) 12% decay
y = a( 1 - 12%/100 )^x = a(0.88)^x
So the solution is: y = f(x) = 44(0.88)^x
3) 20% decay
y = a( 1 - 20%/100 )^x = a(0.8)^x
So the solution is: f(x) = 22(0.8)
4) 12% Groth
y = a( 1 + 12%/100 )^x = a(1.12)^x
So the solution is: f(x) = 42(1.12)^x
Answer:
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Step-by-step explanation:
Steps:
Subtract 4 from both sides:
Simplify:
Divide both sides by 12:
Simplify:
Answer:
4 bags of chocolate chips and 1 bag of walnuts.
Step-by-step explanation:
Find how many ounces are in 3 pounds:
16 oz = 1 lb
16 oz × 3 = 3 lbs
48 oz = 3 lbs
Variable x = number of chocolate chips
Variable y = number of walnuts
4x + 1y = 15
Keep in mind it must equal up to 48 oz and be $15 or under.
4 bags × 12 oz = 48 oz
1 bag × 4 oz = 4 oz
48 oz + 4 oz = 52 oz > 48 oz
4 bags × $3 = $12
1 bag × $2 = $2
$12 + $2 = $14 < $15
Both requirements have been met.
Answer:
Either C or B I’m not quite sure which one. I’m sorry
Step-by-step explanation:
We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C.,
f (x) = 
+5.
