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ser-zykov [4K]
3 years ago
10

BRAINLIEST BRAINLIEST!!! EASY MATH! Do with explanation!!

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

<em>Answer is </em><em>given below with explanations</em><em>.</em><em>,</em>

Step-by-step explanation:

1)formula \: for \: linear \: equation \: is \:  \\ ax + by + c = 0 \\ 2) \: solution \: of \: the \: equation \: y = 9x - 3 \\ (2,15) \: is \: the \: solution \:  \\ on \: substitutuing \: the \: points \\ 15 = 9(2) - 3 \\ 15 = 18 - 3 \\ 15 = 15 \\ hence \: proved\\ 3) \: given \:( k,7) \: is \: a \: solution\\ \: of \: y =  - 4x + 1 \\ on \: substitutuing \: the \: points  \\ 7 =  - 4k + 1 \\ 4k =  - 7 + 1 \\ 4k =  - 6 \\ k = \frac{ - 6}{4}  \\ k = \frac{ - 2}{3}

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

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<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

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3 years ago
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