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Harman [31]
3 years ago
8

Write a quadratic equation whose solutions are 7i and -7i

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0
x = \pm 7i  \\  \\ x^2 = -49 \\  \\ x^2 +49 = 0
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What is 2 3/4 - 5/16​
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Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o
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Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

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Considering fund A,

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R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

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- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

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x = 44000

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