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polet [3.4K]
2 years ago
15

A population of 805 cheetahs decreases by 10% per year. How many cheetahs will there be in the population after 6 years?

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

Step-by-step explanation:

y = a(b)^x

a would represent the initial value.

b would represent the change

x represents the number of years

y = 805(0.9)^6

y = 805(0.531441)

y = 427.8

y =  427 cheetahs

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-6x + 8 ≥ -58 +5x Please solve
vagabundo [1.1K]

Answer:  X ≤ 6

Step-by-step explanation:

6 0
1 year ago
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Rewrite the expressions using radical notation
Ber [7]
Tip:

You put the number of each equation into the form.

Exponent’s denominator goes outside

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4 0
2 years ago
A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0
3 years ago
I'm not sure about 38 - 53 please help! :)
Maru [420]
38. 6900 grams
39. 19600 grams
40.
27910 grams
41. 32840 grams
42. 
610 grams
43. 970 grams
44.
3712 grams
45. 8937 grams
46. 
37 grams
47. 69 grams
48.
1510 grams
49. 4700 grams
50. 150 grams
51. 15 grams
52. 15200 grams
53. 460

I'm sorry if these are wrong but I hope this could help.
5 0
3 years ago
Read 2 more answers
3. Find the balance of a savings account at the end of 15 years if the interest
mr Goodwill [35]

Answer:

The balance of the savings account in 15 years will be $1,750.24.

8 0
3 years ago
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