The answer is -13. You figure it out by multiplying 2.5×-5.2=13
Answer:
x = 11/4 or 2.75
Step-by-step explanation:
Perimeter: 43
Perimeter: L + L + W + W
L = 4x + 3
W = 2x + 2
(4x + 3) + (4x + 3) + (2x + 2) + (2x + 2) = 43
4x + 4x + 2x + 2x + 3 + 3 + 2 + 2 = 43
8x + 4x + 6 + 4 = 43
12x + 10 = 43
12x = 43 - 10
12x = 33
12x/12 = 33/12
x = 33/12
Answer:
A. 29 feet
Step-by-step explanation:
Use cos to find the hypotenuse
cos = adj/hp
0.64 = 20/hyp
hyp = 20/0.64
hyp = 31.25
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Use Pythagorean Theorem to find the height of tree above eyes
a² + b² = c²
a² + 20² = 31.25²
a² = 31.25² - 20²
a² = 576.5625
a = 24 (to the nearest foot)
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Finally add in the eye height
h = 24 + 5
h = 29 feet
Answer:
a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) Antonio is expected to make a profit of 37445.17 in 7 months from now.
Step-by-step explanation:
a) The equation described on statement represents a geometrical progression, which is defined as:
(1)
Where:
- Initial amount, measured in monetary units.
- Rate, dimensionless. (The progression is increasing when
, and decreasing when
)
- Time, measured in months.
- Profit, measured in monetary units.
Given that
, we calculated the rate below:
![1+r = 0.82](https://tex.z-dn.net/?f=1%2Br%20%3D%200.82)
![r = 0.82-1](https://tex.z-dn.net/?f=r%20%3D%200.82-1)
The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) If we know that
, then the expected amount for Antonio in 7 months from now is:
![y = 150,210\cdot (0.82)^{7}](https://tex.z-dn.net/?f=y%20%3D%20150%2C210%5Ccdot%20%280.82%29%5E%7B7%7D)
Antonio is expected to make a profit of 37445.17 in 7 months from now.