Mathematics, 06.09.2019 21:30 ukyflyfl

Kimberly wants to invest $3,000 in an account that earns 4% annual interest , and x dollars in an account that earns 7% so that on average, she would earn 5.5% interest from both accounts . what would be the equation?

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Answer from: timozy95

The equation of her earnings from both of the accounts is;

120 + 0.07x = 0.055x + 165.

According to the question, Kimberly wants to invest $3,000 in an account that earns 4% annual interest, and x dollars in an account that earns 7%.

For the first account;

Total amount = (4% of $3,000) = 0.04 × $3,000Total amount = $120.

Fir the second account;

Total amount = (7% of x dollars) = 0.07xTotal amount = $0.07x

On the average, she would earn 5.5% interest from both accounts;

Mathematically, we have;

5.5% of $(x + 3000).Total earnings = 0.055x + 165

The equation of the relationship between the accounts is therefore;

120 + 0.07x = 0.055x + 165.

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Answer from: jadejordan8888

The linear equation that represent this situation is

(3,000+x)0.055=3,000(0.04)+x(0.07)

The value of x is $3,000

Step-by-step explanation:

Let

x > the amount invested in an account that earns 7%

we have that

4%=4/100=0.04

7%=7/100=0.07

The linear equation that represent this situation is

(3,000+x)0.055=3,000(0.04)+x(0.07)

Solve for x

165+0.055x=120+0.07x

0.07x-0.055x=165-120

0.015x=45

x=3,000

Answer from: Quest

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Answer from: Quest

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

$y\propto x$

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

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