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SSSSS [86.1K]
3 years ago
9

An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

The answer is  98.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 970

r=rate = 15.1%=0.151

Exponential Decay:

b=1-r=1-0.151=0.849

Write Exponential Function:

y=970(0.849)^x

Plug in time for x:

y=970(0.849)^{14}

y= 98.05718

Evaluate

y≈98.1

Amanda [17]3 years ago
3 0
The amount of the element remaining (y) in grams after time (t) in minutes is defined by the equation y=970(1-.151)^t. Substitute t=14 into the equation and solve for y. y=970(.849)^14=98.06 rounded to two decimal places.
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What is the sum of the first 6 terms of the series <br> -1+4-16+...
Romashka [77]

Answer:

819

Step-by-step explanation:

Givens

  • a = -1
  • r = - 4
  • n = 6

Formula

Sum = a(1 - r^n) / ( 1 - r)

Sum = -1(1 - (-4)^6 / (1 - -4)

Sum = -1 (1 - 4096) / 5

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3 years ago
Solve for n: 21k – 3n + 9p &gt; 3p + 12.
Katyanochek1 [597]
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3 years ago
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Veronika [31]

Answer:

$ 1850

Step-by-step explanation:

As it is simple interest, the interest will be same each year.

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The amount borrowed = 2081.25 - 231.25 = $ 1850

3 0
2 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

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3 years ago
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sergiy2304 [10]

Answer:

-2/3x+6

Step-by-step explanation:

6 0
3 years ago
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