Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
t=87.36643 ≈ 87.4 minutes
Step-by-step explanation:
y=a(.5)^{\frac{t}{h}}
y=a(.5)
h
t
y=6 \hspace{15px} a=340 \hspace{15px} h=15 \hspace{15px} t=?
y=6a=340h=15t=?
6=340(.5)^{\frac{t}{15}}
6=340(.5)
15
t
\frac{6}{340}=\frac{340(.5)^{\frac{t}{15}}}{340}
340
6
=
340
340(.5)
15
t
0.0176471=(.5)^{\frac{t}{15}}
0.0176471=(.5)
15
t
\log(0.0176471)=\log((.5)^{\frac{t}{15}})
log(0.0176471)=log((.5)
15
t
)
\log(0.0176471)=\frac{t}{15}\log(.5)
log(0.0176471)=
15
t
log(.5)
Power Rule.
15\log(0.0176471)=t\log(.5)
15log(0.0176471)=tlog(.5)
Multiply by 15.
\frac{15\log(0.0176471)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}
log(.5)
15log(0.0176471)
=
log(.5)
tlog(.5)
Divide by log(.5).
t=\frac{-26.299915}{-0.30103}
t=
−0.30103
−26.299915
t=87.36643\approx 87.4 \text{ minutes}
t=87.36643≈87.4 minutes
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.