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jeyben [28]
2 years ago
7

MATH: EXPONENTIAL WORK PROBLEM 1. HELP PLEASE! 13 pts

Mathematics
1 answer:
Strike441 [17]2 years ago
4 0

The amount of the radioactive substance is 374.6 g

<h3>How to determine the amount of radioactive substance?</h3>

The given parameters are:

  • Initial, a = 424 mg
  • Rate, r = 6%
  • Time, t = 2 hours

The amount of the radioactive substance is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 424 * (1 - 6%)^t

At 2 hours, we have:

A(2) = 424 * (1 - 6%)^2

Evaluate

A(2) = 374.6

Hence, the amount of the radioactive substance is 374.6 g

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

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At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which
Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

A+B=14

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

70A+55B=905

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

A=14-B

Substitute this into the second equation: "

70(14-B)+55B=905

First, we can divide everything by 5 to simplify things:

14(14-B)+11B=181

Distribute the left:

196-14B+11B=181

Combine like terms:

-3B+196=181

Subtract 196 from both sides:

-3B=-15

Divide both sides by -3

B=5

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0
3 years ago
I need to know the amount of Iodine -131 remaining after 72 days
jenyasd209 [6]

Answer:

131 remaining after 72 days

Step-by-step explanation:


4 0
3 years ago
IF YOU ANSWER THIS I WILL GIVE YOU BRAINLIEST!! 21PTS
vovangra [49]
<span>200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have. 
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours

225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours. 

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705
705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians. 


</span>
4 0
3 years ago
What isn't the bets approximation for the area of this circle labeled 8 inches use3.14 to approximate pi
Arte-miy333 [17]

Answer:

50.272  in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272  in^2

8 0
3 years ago
A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it
Korvikt [17]

Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\

d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\

5 0
3 years ago
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