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3 years ago

The line plot below shows the weight (in grams) of vitamin bottles.

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

I cannot answer this because there is no question.

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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:

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

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

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

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0

3 years ago

Please help! Will vote brainliest!

adoni [48]

Step-by-step explanation:

D={0,1,2,..}

E={1,4,9,16,25}

F={22,24,26,28}

expression 4 is correct

6 0

3 years ago

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 de

adelina 88 [10]

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

6 0

3 years ago

Divide a salad with six friends, 1/3 is missing, how much does each person get?

Talja [164]

Each friend gets 1/9. If you have 1 salad and 1/3 is missing that leaves you with 2/3, you have 6 friends and I am assuming they each get an equal amount so 2/3 equals 4/6, 4/6 equals 6/9, there are 6 people, they each get 1/9.

4 0

3 years ago

Write this number in word form 3388198

mel-nik [20]

The answer is three million , three hundred , eighty eight thousand , one hundred , ninth eight

3 0

3 years ago