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makvit [3.9K]
3 years ago
9

Mrs. Powell has $800 invested in stocks and $500 invested in a Certificate of Deposit. The CD has an interest rate twice as grea

t as the stocks. If her annual interest on these two investments is $45, at what rate of interest is the $500 invested?
Mathematics
2 answers:
Mashutka [201]3 years ago
7 0
Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%
vodomira [7]3 years ago
6 0

Answer:

$500 at 5%

Step-by-step explanation:

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Alika [10]

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

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6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

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Reorder the terms:

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33 + -36p = (7 * 2 + 6p * 2) + 3

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Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

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-48p = 17 + -33

Combine like terms: 17 + -33 = -16

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Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

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3 years ago
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