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IgorLugansk [536]
3 years ago
15

What are the missing y values in the table

Mathematics
2 answers:
nadezda [96]3 years ago
8 0

Answer:

0.) Y= -5

-1.) Y= +3

Step-by-step explanation:

trasher [3.6K]3 years ago
4 0
Y=-5 x=3 have a great day
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Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) First, find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(b) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (a):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(c) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

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3 years ago
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Answer:

Jerry has a better saving plan for increasing his savings than Carlos

Step-by-step explanation:

Jerry's initial principal = $1000

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This means that at the end of 6 months, Jerry would have $1,300 dollars at home

For Carlos the interest rate is 4% per year compounded monthly

If we calculate his interest per month we have:

Interest = 1000 x 4/(100 x 12) = $3.33

2nd month = 1003.33 x 4/(100 x 12) = $3.34

3rd month = 1006.68 x 4/(100 x 12) = $3.36

4th month = 1010.04 x 4/(100 x 12) = $3.37

5th month = 1013.41 x 4/(100 x 12) = $3.38

6th month = 1016.79 x 4/(100 x 12) = $3.40

At the end of 6 month, Carlos would have $1020.18 in the bank

Hence, Jerry has a better saving plan for increasing his savings than Carlos

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13.7

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