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klio [65]
2 years ago
14

Identify if the given equation represents exponential growth or decay.

Mathematics
1 answer:
charle [14.2K]2 years ago
5 0

Answer:

The first is decay, seeing as it is in between 1 and 0

The second is growth, as it is greater than 1

Step-by-step explanation:

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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Answer:

40

Step-by-step explanation:

6 0
2 years ago
One of the largest pumpkins ever grown weighed about 3/4 ton.How many pounds did the pumpkin weigh?
atroni [7]
1500 pounds since a ton I 2000 just multiply it by 3/4
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Ba%5E2%20-2a-b%5E2%3D0%7D%20%5Catop%20%7B2b%2B2ab%3D0%7D%7D%20%5Cright
oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
2 years ago
1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the
son4ous [18]
<span>(a) $7.04 (b) 704/1599 (c) 0.44 (d) 14 (e) $98.56 (a) How much profit does Lucy earn when she sells a necklace? Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation. P = $15.99 - $3.38 - $5.57 P = $12.61 - $5.57 P = $7.04 So her profit is $7.04 per necklace. (b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers. The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599. The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599. (c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)? Pardon the lack of formatting 704/1599 = 0.4403 Rounded to the nearest hundredth gives 0.44 (d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work. This question is asking for total cost. So divide the $223.86 by the sale price of $15.99. $223.86 / $15.99 = 14 14 necklaces were sold. (e) How much profit did she earn from the number of necklaces she sold? Show your work. Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So $7.04 * 14 = $98.56</span>
5 0
3 years ago
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Galina-37 [17]

Answer:$247

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