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Lynna [10]
3 years ago
7

the value of a company's stock changes by -$2.25 each day. After how many days will the value of the stock change by -$18?

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0
8 days. -18÷-2.25= 8
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A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Tiffany's Furniture Store buys a table at a wholesale price of $103.00. If the markup rate at Tiffany's Furniture Store is 55%,
coldgirl [10]
If I am reading this right, the final total after adding the 55% markup rate should be $159.65.
8 0
3 years ago
0.00045−2.5⋅10 −5 = what is the answer i been up all day
Mama L [17]
If I’m getting this right the equation is: 0.00045 - 2.5 x 10 - 5? The dot in between 2.5 and 10 indicates a multiplication sign

So...

0.00045 - (2.5 x 10) - 5
0.00045 - 25 - 5
= -29.9999 -> -30
8 0
2 years ago
What letter or symbol that represents some unknown value
tatiyna
A \ letter \ or \ symbol \ that \ represents \ some \ unknown \ value \ is  &#10;&#10;known \ as \ a \ Variable.
8 0
3 years ago
How do I solve this?
Snowcat [4.5K]

Answer:

Step-by-step explanation:

First, let's find the area of the triangle. The Area of a triangle can be modeled as

b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24

To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16

16pi= approximately 50.24

50.24/2= 25.12

25.12 + 16 = 41.12

The area of the figure is approximately 41.12 ft^2

Hope this helps and please mark me brainliest, it really helps!

:)

7 0
2 years ago
Read 2 more answers
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