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MArishka [77]
3 years ago
6

Lauren deposited $3,000 into a savings account with an annual interest rate of 0.75%. She made no deposits or withdrawals for 3

years. If interest was compounded annually,
which equation represents the balance in the account after 3 years?
A = 3000(1 +0.0075)^3
A = 3000(1 -0.0075)^3
A = 3000(1 + 0.075)^3
A = 3000(1 +0.75)^3
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0
The upper one is correct. Because 0,75% = 0,0075 ( :10) and since the interest rate is positive it has to be 1 + ...
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Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

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Range is the y values or ouputs
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we can use any x value
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find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
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plug that in to the equaiton to get the y value

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