So you are seeing how much time it'll take so you solve for "t", the time.
<span>So you take the formula A=Pe^(rt) </span>
<span>A=2000 because it's the end value </span>
<span>P=20 because it's the starting value </span>
<span>r=.85 since 85%=.85 and .85 is the rate </span>
<span>Plug the values in and you get 2000=20e^(.85t) </span>
<span>What you do is you divide by 20 so you get 100=e^(.85t) </span>
<span>Take the natural logarithm of both sides 'cause of e and a natural log is written as ln so you get </span>
<span>ln 100=.85t ln e and because you can use the power rule you end up with .85t ln e and </span>
<span>ln e=1 so you have ln 100 = .85t so you divide by .85 so (ln 100)/.85=t and t=5.4178472776331 </span>
<span>hours </span>
<span>3. Exponential decay: </span>
<span>A= Pe^(rt) </span>
<span>where </span>
<span>A is the final amount </span>
<span>P is the initial value </span>
<span>r is rate of decay </span>
<span>t is time (years) </span>
<span>Let's say x is the initial amount then (1/2)x=xe^(32r) </span>
<span>I used x because the value isn't given but anyway division by x would give you 1/2=e^(32r) </span>
<span>Take the ln of both sides so ln 1/2=32r ln e and then ln e=1 so ln 1/2=32r. </span>
<span>Divide both sides by 32 and you'd get (ln 1/2)/32=r and r= -0.021660849392498 </span>
<span>4. Another depreciation question. </span>
<span>Each year the item retains 88% of its last-year value. </span>
<span>Solve: 250,000(0.88)^x = 100,000 </span>
<span>0.88^x = 0.4 </span>
<span>x = [log0.4]/[log0.88] </span>
<span>x = 7.168 years </span>
Answer:
B
filled up a slot even though i answered first in the comments lol
Answer:
60
Step-by-step explanation:
65% = .65, so
60 × .65 = 39
or the equation could be
60/.65 = x
Hope this helps, if not please let me know and i will do my best to correct my mistake.
Answer:
3.3
Step-by-step explanation:
to determine the answer
calculate the volume of the cone
the volume of the cone = volume of the sphere
use the volume of the sphere to find the radius
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
(1/3) x (22/7) x (6^2) x 4 = 150 .86
volume of sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
(4/3) x radius^3 x (22/7) = 150.86
radius^3 = (3/4) x (7/22) x 150.86
radius^3 = 36
find the cube root of 36
radius = 3.3
37.71
Answer:
The Height is 15in
Step-by-step explanation:
V=L.W.H
300=10x2xH
300=20xH
300/20=H
H=15in
