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Elanso [62]
3 years ago
6

Find the area of the shape in the photo.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0
5.76 feet

I did the equation:        1.6+3.2
                               A =  ---------- + 2.4
                                            2
I did 1.6 + 3.2 = 4.8. Then I did, 4.8 divided by 2 equals 2.4. I then did, 2.4 times 2.4 equals 5.76 feet .

Sorry if its confusing.

Rashid [163]3 years ago
4 0
First, you would start with finding the center of the trapezoid. You would multiply 1.6 by 2.4, leaving you with 3.84 sq ft for the center. Then, you subtract 1.6 from 3.2 because you want to find the area of the triangles. You would get 1.6. That means there is a triangle with a base of 1.6 feet and a height of 2.4 feet. The formula for calculating the area of a triangle is base times height divided by 2, and in this case it is 1.6 times 2.4 divided by 2. You would get 1.92, and to find the total amount of ft sq, you would add 1.92 and 3.84 to get 5.76 feet squared(don't forget to label!).
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The highest possible number of inhabitants in that little town are 743.

<h3>What are inhabitant?</h3>

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

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1. 4x– 15 = 17 - 4x+10x<br> Help?
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Answer:

x=-16

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4x– 15 = 17 - 4x+10x

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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)}

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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