1) Take natural logarithms (Ln) on both sides of the first equation:
f(t) = 18 [0.887]^t => Ln [f(t) ] = Ln (18) + t Ln(0.887)
2) Take natural lograrithms (Ln) on both sides of the second equation:
f(t) = Qo [e] ^ (-kt) => Ln [f(t) ] = Ln(Qo) - kt
3) Make the coefficients equal=>
Ln (Qo) = Ln(18) => Qo = 18
Ln (0.887) = - k => -k = -0.1199
4) Substitute the terms in f(t) = Qo [e]^ (-kt) =>
f(t) = 18 [e]^ ( -0.1199 t)
Answer: 18 [e]^(- 0.1199t)
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Solve for y:</u>
- yr = xw - a
- y = (xw - a)/r
In order for them to raise the same amount of money, they will need to sell 12 bags of cookies.
<h3>What is the equation?</h3>
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
If x is no of bags of cookies must they sell in order for them to raise the same amount of money;
For sister 1 ;
You start out with $24 and sell each bag of cookies, c, for $3.The amount of money the person raised;
y = $ 24 + ($3 / bag)x
y=24+ 3x
For case 2;
y= $ 0+ ($5 / bag)x
y=5x
If both raise the same amount of money(y) then;
24 + 3x = 5x
5x-3x=24
2x=24
x=12
Hence, the number of bags of cookies will be 12 must they sell in order for them to raise the same amount of money.
To learn more, about equations, refer;
brainly.com/question/10413253
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Step-by-step explanation:
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