Answered

IDNLearn.com provides a user-friendly platform for finding answers to your questions. Whether it's a simple query or a complex problem, our community has the answers you need.

Hazel invested part of a Php10,000 inheritance in stocks paying 6.5%
simple interest annually. She invested the rest in bonds paying 4.25% simple
interest annually. If Hazel will receive Php 582.50 in interest after one year,
how much did she invest in stocks? How much did she invest in bonds?​

Sagot :

Ayfat23idn

Answer:

she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Step-by-step explanation:

Let the amount invested in the stock= X

Let the amount invested in the bond= Y

For quantity equation,

X + Y = 10000 ............eqn(1)

✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X

✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y

The interest equation can be written as

0.065X + 0.0425Y = 582.50.........eqn(2)

We can make X subject of formula from eqn(1)

X= 10000 - Y

Substitute into eqn (2)

0.065(1000-Y) + 0.0425Y= 582.50

Multiply through by 10000

650(10000 - Y) + 425Y = 5825000

6500000 - 650Y + 425Y =5825000

Y= 2986.66

If we substitute Y into (X + Y )= 10000

X+2986.66= 10000

X= 7013.33

hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.