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stiks02 [169]
3 years ago
11

PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-

14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

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Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75
rodikova [14]

Answer:

C. N = 400 / 10

Step-by-step explanation:

Lawn-cutting Bank Account = $325

Amount paid for gas = $75

Total amount earned = Lawn-cutting Bank Account + Amount paid for gas

= $325 + $75

= $400

Amount earned per every lawn he mowed = $10

How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

5 0
3 years ago
Help!<br> What would d be?
Oxana [17]

Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

10² + 8² = c²

100 + 64 = 164

c² = 164

c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

6 0
4 years ago
Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?
vampirchik [111]

Answer:

\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}

Step-by-step explanation:

\text{The quadratic formula of}

ax^2+bx+c=0

\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================

\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}

5 0
3 years ago
Read 2 more answers
A stock price is losing value at a rate of 4 cents every minute. After 15 minutes, the price of the stock is $10.24 (1024 cents)
Sveta_85 [38]
Jesus ew math bruh. Anyway let’s sing the campfire


Song


6 0
3 years ago
Can someone help me with this?
Westkost [7]

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

7 0
3 years ago
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