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andreev551 [17]
1 year ago
12

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's

contributions showing all steps in long division.
Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59
Mathematics
1 answer:
DiKsa [7]1 year ago
7 0

The fraction based on the information given illustrated for each person.

<h3>How to illustrate the information?</h3>

Me: $14.89

Friend 1: $7.27

Friend 2: $25.67

Friend 3: $11.59

Total = $59.42

The fraction for each person will be:

Me: $14.89 = 14.89/59.42 = 0.25

Friend 1: $7.27 = 7.27/59.42 = 0.12

Friend 2: $25.67 = 25.67/59.42 = 0.32

Friend 3: $11.59 = 11.59/59.42 = 0.195

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

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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
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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

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

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Some one help me with my bro’s hw
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Answer:

<em>475604-71343= 404357</em>

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The height h of a thrown object as a function of horizontal distance d that it has traveled is a quadratic function. An object i
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Answer:

  h(d) = (17/3249)(-d² +114d)

Step-by-step explanation:

For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...

  f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)

We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...

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Using the appropriate function name and variable, we have ...

  h(d) = (17/3249)(-d² +114d)

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There is a ___ correlation between the number of doughnuts Homer eats and his weight. If Homer wants to lose weight, he should e
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Answer:

There is a linear correlation between the number of doughnuts Homer eats and his weight. If Homer wants to lose weight, he should eat less doughnuts. If Homer graphed this relationship on a scatterplot, an increase on the y axis would lead to an increase on the x axis.

Step-by-step explanation:

Given that doughnuts have a high content of fat and sugar, they are well proved to be fattening foods. Indeed, one would expect that the more doughnuts are consumed per time unit, the more body weight will increase.

Mathematically, both variables (amount of doughnuts consumed and body weight) will behave the same way: an increase in one of them will led to an increase in the other one. The independent variable is the amount of doughnuts consumed by Homer (per unit time), as this is independent on anything else for this given problem, while the body weight is the dependent variable for its will respond to the increase in the amount of doughnuts consumed.

Graphically, the independent variable is plotted on the "<em>y</em>" axis, while the dependent variables is placed on the "<em>x</em>" axis.

Thus, when the relation between both variables is plotted, a straight-line relationships is expected. This is called a linear correlation, and it is interpreted as mentioned above: when the independent variable increases, the dependent variable increases as well, while a decrease in the independent variable leads to a decrease in the dependent one.

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