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3 years ago

How long will it take for the money to triple? Compounded continuously.

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

If e^(rt) is 3, then taking logarithms tells you

... rt = ln(3)

So, the time to triple the amount is

... t = ln(3)/0.0275 ≈ 39.95 . . . . years

_____

The working out that is shown in the picture appears to be correct.

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Hey, It's your lucky day bcos you'll get 50 points for free.Type anything in the answer box to claim

Tpy6a [65]

Answer:

what?

Step-by-step explanation:

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2 years ago

A vial contains 20mL of medicine.If each dose is 1/3 of the vial,how many mL is each dose.Express your answer as a decimal

Genrish500 [490]

Answer:

each dose = 6.7 mL ( to 1 decimal place)

Step-by-step explanation:

Total volume of vial = 20mL

each dose of vial = 1/3 of the total volume

let us express this fraction as a real number:

1/3 of 20 = 1/3 × 20

Since we are to express the answer as a decimal, let us convert the fraction to decimal:

1/3 = 0.3333

∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL

since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p

∴ each dose = 6.7 mL

4 0

3 years ago

How do I find the number of solutions for this equation? 6y = 12x + 36

Soloha48 [4]

Answer:

6y = 12x + 36 is x= 1 /2 y−3

15y = 45x + 60 is x= 1 /3 y+ −4 /3

Step-by-step explanation:

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3 years ago

The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

8 0

3 years ago

How you solve 7p+9=81

Burka [1]

Try and get the variable by its self by -81 from both sides then divide it by 7 and get ur answer.

7 0

3 years ago

Read 2 more answers