Answer:
a = 1/2
Step-by-step explanation:
f(x) = ax(x-3) and f(-2) = 5
Replace x with -2 and f(x) with 5
5 = a (-2) (-2-3)
5 = a (-2)(-5)
5 = 10a
Divide each side by 10
5/10 = 10a/10
1/2 =a
To simplify the problem imagine the half-life was 2.5 minutes. This means that there would be 10/2.5=4 periods of halving the mass, which means 1/2⁴=1/16 of 18g=1.125g.
So for the given half-life we calculate 10/2.552=3.9185 approx. So we now find 2 to this power=15.1211 approx and divide into 18=1.19g. This is close to the rough estimate we did earlier.
2,582.1 ÷ 10 = 258.21
Answer = 258.21
Good Luck! :)
Answer:
P=300cm
Step-by-step explanation:
P=4a=4.75×4=300cm
The amount of interest he would earn in one (1) year is equal to $80.
<u>Given the following data:</u>
- Interest rate = 10% = 0.1
To determine how much interest he would earn in one (1) year:
<h3>How to calculate
simple interest</h3>
Mathematically, simple interest is given by this formula:

<u>Where:</u>
- S.I is the simple interest.
- P is the principal or starting amount.
- T is the time measured in years.
Substituting the given parameters into the formula, we have;

Simple interest = $80
Read more on simple interest here: brainly.com/question/24341207