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gayaneshka [121]
3 years ago
9

Solve the inequality t/4 > 7

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

t > 28

Step-by-step explanation:

Multiply both sides of the inequality by 4:

4 \times  \frac{t}{4}  > 4 \times 7

Reduce the number with the greatest common factor 4:

t > 4 \times 7

Multiply the number:

t > 28

horrorfan [7]3 years ago
6 0

Answer:

t > 28

Step-by-step explanation:

Given

> 7 ( multiply both sides by 4 to clear the fraction )

t > 28

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t
WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.  

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}

Seperate the differential equation and solve for the constant C.

\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2}  }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}

You have 100 rodents when:

100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months

You have 1000 rodents when:

1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months

7 0
2 years ago
Find the slope of the line
olga55 [171]

Answer:

slope or m = -1

Step-by-step explanation:

The slope formula is:

y2-y1         -3 - 1             -4          -4

-------- =   -------------- = --------- =  ----- = -1

x2-x1       1  - (-3)            1+3         4

So, the slope is -1 XD YAY!!

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3 years ago
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Westkost [7]

Answer:

total payment = $563,760

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Principal part = $66

Step-by-step explanation:

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Total payment = $1,566 * 360 months = $563,760

(b) interest:

Total payment = $563,760

Principal = $180,000

Total payment = Principal + Interest

Interest = Total payment - Principal

Interest = $563,760 - $180,000 = $383,760

(c) part of first payment applied to the principal:

First payment = $1,566

Principal = $180,000

Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly

Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500

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Hope this helps!

4 0
3 years ago
-8 x f(1) – 4 x g(4) =
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Answer:

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Step-by-step explanation:

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I hope this helps you

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2 years ago
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