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What value should come in place of quest...

What value should come in place of question mark (?)
`(1.06+0.04)^2-?=4xx1.06xx0.04`

A

1.0404

B

1.4

C

1.5

D

1.45

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (1.06 + 0.04)^2 - ? = 4 \times 1.06 \times 0.04 \), we will follow these steps: ### Step 1: Simplify the left side First, we need to calculate \( (1.06 + 0.04)^2 \). \[ 1.06 + 0.04 = 1.1 \] Now, we square \( 1.1 \): \[ (1.1)^2 = 1.1 \times 1.1 = 1.21 \] ### Step 2: Calculate the right side Next, we calculate \( 4 \times 1.06 \times 0.04 \). \[ 1.06 \times 0.04 = 0.0424 \] Now, multiply by 4: \[ 4 \times 0.0424 = 0.1696 \] ### Step 3: Set up the equation Now we have: \[ 1.21 - ? = 0.1696 \] ### Step 4: Solve for ? To find \( ? \), we rearrange the equation: \[ ? = 1.21 - 0.1696 \] Now, we perform the subtraction: \[ 1.21 - 0.1696 = 1.0404 \] ### Conclusion Thus, the value that should come in place of the question mark (?) is: \[ ? = 1.0404 \] ### Final Answer The correct answer is \( 1.0404 \). ---
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