Two investors have net worths of $12 million (investor A) and $1 million (investor B). they set their investment limits at 2% an

Answer:

final equation: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's current salary: 55,000

With an annual increase of $3,700, her salary after n years is 55,000 + 3,700n

Isabel's current salary: 63,000

With an annual increase of $2,900, her salary after n years is 63,000 + 2,900n

Setting the two salary equations equal gives:

55,000 + 3,700n = 63,000 + 2,900n

I hope this provides the assistance you need.

For this scenario, we start with the function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Reorganizing yields:
 </span><span>w (x) = - 5 (x² + 4x - 8x - 32)
 </span><span>w (x) = - 5x² - 20x + 40x + 160
 </span><span>w (x) = - 5x² + 20x + 160
 </span><span>Next, we take the derivative:
 </span><span>w '(x) = - 10x + 20
 </span><span>Setting this to zero and solving for x:
 </span><span>0 = -10x + 20
 </span><span>10x = 20
 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting back:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
 </span><span>w (2) = 180 meters
 </span>Conclusion:
 The peak height attained by the stone is:
 w (2) = 180 meters

Answer:

The correct answer is Option C.

Step-by-step explanation:

We are provided with the dimensions of the podium, including its length, width, and height, and need to determine its surface area.

To find the surface area of a cuboid, the formula used is 2(LW + WH + HL)

Referring to the provided figure, the dimensions of the upper cuboid are

L=2.5 ft., W=1.5 ft, H=1.5 ft

Since the upper face appears twice, it must be deducted to accurately calculate the area

The dimensions for the lower podium are

L=7.5 ft., W=1.5 ft, H=1.5 ft

Therefore, the overall surface area of the podium, including the bottom, is

19.5 + 49.5 - 3.75 = 65.25 square feet.

Thus, option C is indeed correct.

First find the amount of tax: 98.90 - 92 = 6.9. Next, compute the tax rate by dividing the tax by the pre-tax price: 6.9 / 92 =.075. Convert to a percentage by multiplying by 100:.075 * 100 = 7.5. Thus the tax rate is 7.5%.