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denis23 [38]
3 years ago
8

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32

Tasya [4]3 years ago
5 0

Answer:

No

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = \sqrt{c^2-b^2}. Then plugging in the values for c and b, we get a = \sqrt{1024} = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

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Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

<h3>The interest rate of the bank</h3>

To do this, we make use of 1.50% interest rate

<h3>The exponential growth equation</h3>

Here, we have:

Initial, a= 625

Rate, r = 1.5%

The exponential growth equation is

A(t) = a * (1 + r)^t

So, we have:

A(t) = 625 * (1 + 1.5%)^t

Evaluate

A(t) = 625 * 1.015^t

Hence, the exponential growth equation is A(t) = 625 * 1.015^t

<h3>The value in 25 years</h3>

Here, t = 25.

So, we have:

A(25) = 625 * 1.015^25

Evaluate

A(25) = 906.84

Hence, the value in 25 years is $906.84

<h3>The investment with more money</h3>

<u>#Investment A</u>

a = 625

r = 1.5%

t = 5

So, we have:

A(5) = 625 * 1.015^5

Evaluate

A(5) = 673.3

<u>#Investment B</u>

a = 625

r = 5%

t = 1

So, we have:

A(1) = 625 * 1.5^1

Evaluate

A(1) = 937.5

By comparison, 937.5 is greater than 673.3

Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

Read more about exponential growth equation at:

brainly.com/question/23729449

#SPJ1

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