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slega [8]
2 years ago
7

Find the area of the following figure. Explain how you found your answer.

Mathematics
2 answers:
Anna007 [38]2 years ago
7 0

Answer:

26 1/2 units

Step-by-step explanation:

First find the area of the rectangle at the bottom

A = l*w

A = 5 *4 = 20

Then find the area of the left triangle

A =1/2 bh = 1/2 (3 * 3) = 9/2

Then find the area of the right triangle

A = 1/2 bh = 1/2 ( 2*2) = 4/2 =2

Add the areas together

20 + 9/2+2 = 22 +9/2 = 22+4 1/2= 26 1/2

iragen [17]2 years ago
5 0

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

  = 4.5 cm^2

For the smaller one : A = bh/2

A = 2 x 2 / 2

   = 2 cm^2

For the rectangle : A = lw

A = 4 x 5

   = 20 cm^2

Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!

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The value of a small airplane depreciates exponentially every year after it is purchased. The value, in thousands of dollars, a(
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Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.

<h3>Exponential function:</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
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In this problem, the function for the value of the airplane after t years is given by:

A(t) = 131.5(0.8)^t

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.

To learn more about exponential functions, you can take a look at brainly.com/question/8935549

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Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
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Option C

Monthly loan payment is $ 93.33

<em><u>Solution:</u></em>

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

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Thus monthly loan payment is $ 93.33 Option C is correct

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