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3 years ago

Solve for x! Please help!

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

$\dfrac{AD}{DC}=\dfrac{DC}{DB}$

We have AD = 16, DC = x, DB = 9. Substitute:

$\dfrac{16}{x}=\dfrac{x}{9}$ <em>cross multiply</em>

$x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12$

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2 years ago

Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He

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Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

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Let P be the initial amount she invested in an account that pays 6% interest.

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Simple interest = Principal x rate x time

After one year, for the first account,

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