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omeli [17]
3 years ago
14

A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (

Mathematics
1 answer:
raketka [301]3 years ago
6 0
The increase is an exponential increase in a multiplier
100%+0.45%=100.45% and as decimal 1.0045

Final Value = Initial Value × multiplier^{number of years}
Final value = 300(1.0045)^{60}
Final value = 393 mg (to the nearest whole number)

Half life = 0.5 years
Final value = 300(1.0045)^{0.5}=301 mg
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Is 4,400 is 10 times as much as 440
vagabundo [1.1K]
To do question we have to multiply 10 and 440: ("x times as much" is x Multiplied by", so "twice as much as 4 is 8", or "3 times 4 is 12),

this is 4400 or 4,400 - this is true!
5 0
2 years ago
The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

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3 0
1 year ago
Solve 3x-5=16<br> i need the answer this math
Juliette [100K]
The correct answer is 7. You add five to both sides then divide by three and you get 7 for x

4 0
3 years ago
NEED HELP I WILL MARK BRAINLIST AND DO NOT SPAM
gavmur [86]

Answer: it will take 14 years

Step-by-step explanation:

A savings account is started with an initial deposit of $600. This means that the principal P is

P = 600

It was compounded annually. This means that it was compounded once in a year. Therefore,

n = 1

The rate at which the principal was compounded is 2.1%. So

r = 2.1/100 = 0.021

The duration of time that for which the money stayed in the account is t years. So

Time = t

The formula for compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years. Therefore,

a) the equation to represent the amount of money in the account as a function of time in years would be

A = 600 (1+0.021/1)^1×t

A = 600 (1.021)^t

b) the amount of time it takes for the account balance to reach $800 would be

800 = 600 (1.021)^t

Dividing both sides of the equation by 600, it becomes

1.33 = (1.021)^t

t = 14

7 0
3 years ago
A third-class lever increases the distance a load can be moved. True False
bonufazy [111]
The answer is false :)

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