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tatuchka [14]
3 years ago
12

Question 10 [10 points] The number of frogs in a pond increases continuously at a rate proportional to the number present. There

are 150 frogs present at a given time and 530 present 4 hours later. (a) How many frogs will there be 10 hours later the initial time? (b) How long will it take for the population to reach 10000 frogs?
Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:

a) 1325 frogs b)75.47 hours

Step-by-step explanation:

start = 150 frogs

after 4 hours = 530

1) figure out how many frogs per hour 530/4 = 132.5 frogs per hour

2) 10 hours after initial time * 132.5 frogs = 1325 frogs

3) Time to reach 10000 frogs is => 10000 / 132.5 = 75.47 hours

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2 years ago
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Y = -11x - 25 ...........(i)<br> y = 5x - 7 ...............(ii)
valkas [14]

Answer:

3/2

Step-by-step explanation:

5x-7=-11x-25

5x+11x=-25+7

16x=18

x=18/16

x=3/2

6 0
3 years ago
Use the picture attached!!
evablogger [386]

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The Correct Answer is C.0.

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5 0
1 year ago
A 90-day simple interest loan in the amount of $2350 will be paid in full in the amount of $2500 . Find the rate of the loan.
ivolga24 [154]

Answer:

The rate of simple interest is 25.89 %  

Step-by-step explanation:

Given as :

The principal = $2350

The Amount = $2500

The time period = 90 days = \frac{90}{365} year = 0.2465 year

Let The rate of interest = R %

So, Interest = Amount - Principal

Or, Interest = $2500 - $2350 = $150

<u>From Simple Interest method </u>

Simple Interest = \frac{Principal\times rate\times Time}{100}

Or, $150 =  \frac{$2350\times rate\times 0.2465 }{100}

or, $150 × 100 = $579.275  × Rate

So, Rate = \frac{15000}{579.275}

∴    Rate = 25.89 %

Hence The rate of simple interest is 25.89 %    Answer

6 0
3 years ago
The data set is 49, 47, 17, 16, and 10.5. What’s the mean absolute deviation?
KatRina [158]

Answer:

<em>16.08</em>

Step-by-step explanation:

Mean: 10.5 + 16 + 17 + 47 + 49 = 139.5/5 = 27.9

27.9 - 10.5 = 17.4

27.9 - 16 = 11.9

27.9 - 17 = 10.9

27.9 - 47 = 19.1

27.9 - 49 = 21.1

10.9 + 11.9 + 17.4 + 19.1 + 21.1 = 80.4/5 = 16.08

Mean Absolute Deviation: 16.08

5 0
3 years ago
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