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Juliette [100K]
3 years ago
6

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v

alue n?
Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

First we need to subtract n on both sides. That will give us 1/5n = 24 - n. Then we need to divide both sides by 1/5 aka multipliying both sides by 5. Now we have n = 120-5n. Now we subtract both sides by n. That will give us 0 = 120 - 4n. Now lets add both sides by 4n. Canceling the 4n on the right side. 120 = 4n. Now we need to divide both sides by 4. 30 = n. Therefore the answer is 30

<h2><u>30 = n thats the answer</u></h2>

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\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}

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\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}

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Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

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