Answer:
n=-5
Step-by-step explanation:
Using it's concept, the range of the function is given as follows:
0 ≤ m ≤ 1200.
<h3>What is the range of a function?</h3>
The range of a function is the set that contains all possible output values for the function.
For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.
- The smallest possible mass for the substance is of 0 grams, as after the substance decays to 0 grams, it will not assume a negative value, it will just disappear.
- The greatest possible mass for the substance is the initial mass of 1200 grams, as the substance does not adquire mass with time, it just loses it.
Considering these masses, the range of the function is given as follows:
0 ≤ m ≤ 1200.
More can be learned about the range of a function at brainly.com/question/10197594
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<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187
</span>
about 23 years
</span></span>
Answer:
<u>11t² + 7t + 3</u>
Step-by-step explanation:
⇒ (5t² + 4) - (6t² - 7t + 1)
⇒ 5t² + 4 - 6t² + 7t - 1
⇒ <u>11t² + 7t + 3</u>
Answer:
interest earned= 292.878
the future value of an annuity= 892.878
Step-by-step explanation:
Given Data:
Interest rate= 5%
time,t = 8 years
Quarterly payment, P= 600
n= 4 as quarterly
At the end of 8 years, final investment A= ?
As per the interest formula
A= P(1+r/n)^nt
= 600(1+0.05/4)^32
= 892.878
Interest earned = A-P
= 892.878-600
= 292.878 !
