2 years ago

A savings account increases from $150 to $159. What is the percent increase of the savings account?

Mathematics

1 answer:

creativ13 [48]2 years ago

6 0

Answer:

Step-by-step explanation:

it increased by 9/150 = 0.06 = 6%

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From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

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The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

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A savings account increases from ​$150 to ​$159. What is the percent increase of the savings​ account?

A savings account increases from $150 to $159. What is the percent increase of the savings account?