The function of exponential growth or decay is given as y= a(1 ± r)ˣ. y represents a function of exponential decay with 45%. The correct option is D.
<h3>What is exponential growth or decay function?</h3>
Consider the function:
y= a(1 ± r)ˣ
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
- If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
- If there is negative sign, then there is exponential decay happening by r fraction or 100r %.
If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.
Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,
1 - r = 0.55
-r = 0.55 - 1
-r = -0.45
r = 0.45
r = 45%
Hence, y represents a function of exponential decay with 45%.
Learn more about exponential growth and decay here:
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Answer:
-2x-2y=-8
-4x-8y=-20
From the 1st eqn
Dividing through by 2
you have
-x-y=-4
Multiply through by -(minus)
x+y=4
x=4-y
Substitute into eqn 2
-4x-8y=-20
-4(4-y)-8y=-20
-16 + 4y - 8y = -20
-4y = -20 +16
-4y = -4
y= 1
Substitute into any of the other eqn's to get x
x= 4-y
x= 4-1
x=3
Answer:
Top left.
Step-by-step explanation:
Fold the three squares together, then each triangle up.
Answer:
You buy six newspaper ads & eighteen social media ads.
Step-by-step explanation:
First, we change ads into variables to be more easier to calculate :
Let newspaper = x
Let social media = y
Second, make this variables into an equation, given that you purchase a total of 24 ads :
x + y = 24 (first equation)
Next, given that x = $18.50 & y = $26.50 & spent a total of $588 so you can make another equation :
18.50x + 26.50y = 588 (second equation)
Now, solve this simultaneous equation using elimination or substitution (depends on you) :
substitution =>
x + y = 24 ----------(1)
18.50x + 26.50y = 588 ---------(2)
(1)=> y = 24 - x ------(3)
(3)=>(2) 18.5x + 26.5(24-x) = 588
18.5x + 636 - 26.5x = 588
-8x = -48
x = 6
sub x=6 into(3)
(3)=> y = 24 - 6
= 18
newspaper = x
= 6
social media = y
= 18
