What do the horizontal lines in an elevation-versus-time graph mean?

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

or

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

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MariettaO [177]

Answer:

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tell me anything you know about my hero academia :> And does anyone know what 41 = -3y + 11 by any chance its ok if you don't

sdas [7]

Answer:

y=-10

Step-by-step explanation:

In this problem you're trying to figure out what y equals.

First you subtract 11 from both sides.

30=-3y

Then, you divide each side by -3 to find y.

-10=y

y=-10

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3 years ago

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X divided by x minus 2 greater than or equal to zero

Tema [17]

X/x-2 >= 0 equals x/x >= 0+2 simplified x >=2

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4 years ago

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K I don't feel like doing this either so.

frutty [35]

Answer: 68 minutes or 1 hour and 8 minutes spent in all putting up the fence

Step-by-step explanation:

(4/5) x 60 = 48 minutes

4/5 is the same as 0.8, which is what you get when you divide four by 5

So, 0.8 x 60 = 48 is also acceptable

Then,

(1/3) x 60 = 20 minutes

1/3 is the same as 0.333333333333, which is what you get when you divided 1 by 3

So, 0.33333(and so on) x 60 = 20

- Typically, you can round 0.3333333 down to something like 0.333 which should give you a similar answer

Then, as it asks you for how much time he spent in all, you add those two together

48 minutes + 20 minutes = 68 minutes OR 1 hour and 8 minutes (There is sixty minutes in 1 hour, so subtract the 60 from 68 and then you have 8 minutes left, thus 1 hour and 60 minutes)

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2 years ago