Lydia has half of her investments in stock paying a 10% 10 % dividend and the other half in a stock paying 15% 15 % interest. If her total annual interest is $460 $ ⁢ 460 , how much does she have invested?

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overtymeguddamusik overtymeguddamusik

25-05-2022
Mathematics

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Lydia has half of her investments in stock paying a 10% 10 % dividend and the other half in a stock paying 15% 15 % interest. If her total annual interest is $460 $ ⁢ 460 , how much does she have invested?

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-05-26T15:21:09+02:00

The Lydia has invested $3680 if the Lydia has half of her investments in stock paying a 10 % dividend and the other half in a stock paying 15% interest.

What is invested amount?

A payment made to acquire the securities of other businesses with the goal of earning a profit is referred to as an investment.

Let's suppose the invested amount is $x,

According to the problem, we can find the value of x:

(x/2)(10/100)(1) + (x/2)(15/100)(1) = 460

x/20 + 0.15x/2 =460

x = $3680

Thus, the Lydia has invested $3680 if the Lydia has half of her investments in stock paying a 10 % dividend and the other half in a stock paying 15% interest.

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