Today, you deposit $2,400 in a bank account that pays 4 percent simple interest. how much interest will you earn over the next 5
1 answer:
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Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
-
=
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
<u>Answer-</u>
2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.
<u>Solution-</u>
Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.
Taking,
x = number of people,
y = pounds of turkey.
This condition can be represented as,
As given in the question, when x = 6 y = 3
Now, putting the values of k in the equation, the equation becomes
Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.
All the calculations are shown in the attached table.
