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ExtremeBDS [4]
3 years ago
12

What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i

ncrease 150% in 5 years?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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Answer:

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Step-by-step explanation:

0.6(y-10)=6

0.6y-6=6

0.6y=6+6

0.6y=12

y=12/0.6

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the mistake is added 10 to both sides

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3 years ago
A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ? ​
Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

So

area = l \times w \\  = 21 \times 15 \\  = 315 {ft}^{2} \\  \\

So now We need to convert it to yards square

315ft^{2} \times  \frac{ {1yd}^{2} }{ {9ft}^{2} } \\  \\  =  \cancel{315ft^{2}}  \: ^{35}  \times  \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }}  \\  \\  = 35 {yd}^{2}

So how this 9 ft^2 came??

Let's know

ft \to \: yards \\  \\ 3ft = 1yd \\  \\  {3ft}^{2} =  {1yd}^{2}  \\  \\  \boxed{ {9ft}^{2} =  {1yd}^{2}}

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>
8 0
2 years ago
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What is m∠S? Enter your answer in the box. ° An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Side
yulyashka [42]

Answer:

m<S = 45°

Step-by-step explanation:

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3x + 2x + 3x = 180

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ivanzaharov [21]

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Step-by-step explanation:

It's pretty simple: a prime number is a number that can *only* be divided by the number 1 and it's own.

I just checked all the numbers from 1 to 10 in order to solve this problem.

If you have any questions about the way I solved it, don't hesitate to ask!

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