3 years ago

Which symbol makes the sentence true? − 9/16 ? -3/5 A.< B.> C.=

1 answer:

7 0

$- \frac{9}{16}= -\frac{45}{80} \\ \\ -\frac{3}{5} = -\frac{48}{80} \\ \\ -\frac{45}{80} >- \frac{48}{80} \\ \\ =>- \frac{9}{16} > -\frac{3}{5} 

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Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$