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Ugo [173]
3 years ago
9

A sequence starts at 200 and 30 is subtracted each time . 200 , 170, 140 ...

Mathematics
2 answers:
kirza4 [7]3 years ago
3 0

Answer:

-10 & -40

Step-by-step explanation:

the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.

frozen [14]3 years ago
3 0

Answer:

-10 and - 40

Step-by-step explanation:

If 30 is subtracted.

30×6= 180

200-180=20

20-30= - 10

-10-30= - 40.

.:the first two numbers less than zero are. - 10 AND - 40

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Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4
Ber [7]

Answer:

  •    Option C.    P=10-6e^{-t}

Explanation:

<u>1. Separate variables:</u>

      \dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt

<u></u>

<u>2. Find the indefinite integrals</u>

    -\ln{(10-P)}=t+C

<u></u>

<u>3. Solve for P</u>

      10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}

<u></u>

<u>4. Use the initial condition, P(0) = 4, to find K:</u>

  • 4 = 10 - K(e⁰)
  • 4 = 10 - K
  • K = 10 - 4
  • K = 6

<u></u>

<u>5. Substitute K = 6 into the integrated equation:</u>

       P=10-6e^{-t}

That is the option C.

4 0
3 years ago
Reggie will finance a car with a sticker price of $9,250. he pays $1,500 down payment he finances the car and makes 48 monthly p
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