If $206.40 amounts to$237.36 in 2 years, find therate of simple interest perannum

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

The interest rate is 7.5%

Step-by-step explanation:

You get the difference from the new number and the original. In this case, it is 30.96. I then divided the original by 30.96. The answer turned out to be .15. I doubled checked my answer by timing the original by .15 and adding it. But, I had to divide .15 by 2 so I could get the amount per year. So, it would be 7.5% per year of interest.

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sesenic [268]

Answer:

x=10

Step-by-step explanation:

it is saying x-2 multiplied by 5=40

5(x-2)=40

5x-10=40

5x=50

x=10

6 0

2 years ago

Read 2 more answers

the area of the mojave desert is 25,000 square miles. A scale drawing of the mojave desert has an area of 10 square inches. What

PtichkaEL [24]

Given that t<span>he area of the mojave desert is 25,000 square miles and a scale drawing of the mojave desert has an area of 10 square inches.

The scale of the map is given by

$\sqrt{25,000} : \sqrt{10} = \sqrt{2,500\times10} : \sqrt{10} \\ \\ =50 \sqrt{10} : \sqrt{10} =50:1$

Therefore, the scale of the drawing is 50 : 1.
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7 0

3 years ago

How do I get this answer?

Keith_Richards [23]

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

cos(2x) = cos²(x) -sin²(x)
cos²(x) +sin²(x) = 1
cos(x) = 1/sec(x)

<h3>Proof</h3>

Starting with the left side, we can transform it into the right side.

$2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}$