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aalyn [17]
3 years ago
14

During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

aining apples. On the third hour he sold 25% of the remaining apples, and so on, selling 5% more each following hour. If during the third hour he sold 34 kg of apples, how many kilograms of apples did he have initially?
Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

75 kg

Step-by-step explanation:

%25 of ___ will give you 34.

____ x 0.20 = 34

____ = 34/0.20

34/0.20=170

___=170


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3 years ago
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone
ad-work [718]

Answer:

Part 1) The exponential function is equal to y=1,350(0.95)^{x}

Part 2) The population in 2010 was  992\ fish

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

a=1,350\ fish

b=(100\%-5\%)=95\%=0.95

substitute

y=1,350(0.95)^{x} ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

y=1,350(0.95)^{x}

so

For x=(2010-2004)=6\ years

substitute

y=1,350(0.95)^{6}=992\ fish

7 0
3 years ago
the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from
Aleks [24]

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

5 0
3 years ago
Please help me with this question
scZoUnD [109]
12 hours? If I'm wrong, sorry about that
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3 years ago
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