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Oduvanchick [21]
3 years ago
8

A weather report said there is a 60% chance of rain on Monday, and a

Mathematics
1 answer:
Rudiy273 years ago
7 0
It will most likely just rain on Monday
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A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
3 years ago
On your cell phone bill, you are charged $0.25 for each text you send. What is the dependent variable?
zhannawk [14.2K]

Answer:

The amount of the bill is dependent on the number of texts sent. Let y be the bill amount and x the number of texts. Then x is independent and y is dependent. This is because x can be any non-negative number, but y depends upon it. You cannot find the bill without knowing the number of text messages, right?

3 0
3 years ago
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Write a real-world problem that could be represented by the following inequality. 70 + 5x < 30 + 15x
kondaur [170]

Justin wants to paint his room. So he put together some quotations from two different painters. The first painter's total charge was based on the number of hours (denoted as x) worked was modeled as f( x ) = 70 + 5 x, while that of the second painter was g( x ) = 30 + 15 x. Justin knows that it will take more than 4 hours to decorate the house so he was certain to go with the first painter whose cost is low-priced when the number of hours is above 4 hours.

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3 years ago
ASAP PLEASE HELP NO LINKS
ArbitrLikvidat [17]

Answer:

a is 3,2 b is 1,-2 and c is -2,1

Step-by-step explanation:

u take the first number then you just put em together

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3 years ago
Solve (x + 2 < 5) u (x - 7 > -6)
REY [17]

1. (x + 2 < 5) Subtract two from each side to get (x < 3)

2. (x - 7 > -6) Add 7 to both sides to get (x > 1)

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