6 quarters and 7 half dollars
6(.25)=1.5
7(.5)=3.5
1.5+3.5=5
P(t) = 40(2)^(kt)
<span>when t=10, (1990), N = 55 </span>
<span>55 = 40(2)^(10k) </span>
<span>1.25 = 2^(10k) </span>
<span>take the ln of both sides, hope you remember your log rules </span>
<span>10k = ln 1.25/ln 2 </span>
<span>10k = .32193 </span>
<span>k = .032193 </span>
<span>so P(t) = 40(2)^(.032193t) </span>
<span>in 2000, t = 20 </span>
<span>P(20) = 40(2)^(.032193(20)) </span>
<span>= 62.5 million </span>
<span>for the formula </span>
<span>P(t) = a(2)^(t/d), d = the doubling time </span>
<span>so changing .032193t to t/d </span>
<span>= .032193t </span>
<span>= t/31.06 </span>
<span>so the doubling time is 31.06 </span>
<span>another way would be to set </span>
<span>80 = 40(2)^(.032193t) </span>
<span>2 = (2)^(.032193t) </span>
<span>.032193t = ln 2/ln 2 = 1 </span>
<span>t = 31.06</span>
Answer:
2.2
Step-by-step explanation:
To find a, you use a formula called the law of cosines:
The law of cosines tells us:
a^2 = b^2 + c^2 - 2bc cosA
So lets plug in the values:
a^2 = 4^2 + 3^2 -2(4)(3)cos(32)
a^2 = 25-24cos32
a^2 is roughly equal to 4.97
therefore a roughly equal to 2.2
8/25 i hope this helpeddddddd
Answer:
the answer is in the photo.
hope it helps.