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2 years ago

Use your shapes to create a new shape with an area of 1 square unit that is not a square. Trace your shape.

Mathematics

1 answer:

Elena-2011 [213]2 years ago

7 0

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

<h3>How to determine the new shape?</h3>

The given parameters are:

Area of square = 1 square unit
Large triangles = 2
Medium triangles = 1
Small triangles = 4

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

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3 years ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

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Answer:

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Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

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We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

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3 years ago