<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>
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Solution:
Given expression is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2).
To simplify the expression, first multiply the common term within the bracket.
0.2(5x – 0.3) – 0.5(–1.1x + 4.2)
= (5x × 0.2 – 0.3 × 0.2) + (–1.1x × (–0.5) + 4.2 × (–0.5))
= (1x – 0.06) + (5.5x – 2.1)
= x – 0.06 + 5.5x – 2
Combine like terms together.
= x + 5.5x – 0.06 – 2
= 6.5x – 2.06
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Hence the simplified form of 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 6.5x – 2.06.
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
<span>The sum of the
angle of a triangle is 180 degrees. It is mentioned that Hannah drew a pattern
of equilateral triangles. Equilateral triangle has three equal sides. Also, its
angles are the same, having 60 degrees at each corner of the triangle. The answer
is a. Letter b does not qualify to be an equilateral triangle because 120
degrees times 3 is greater than 180 degrees. Letter c and d exceeds the total
number of angles at 180 degrees.</span>
