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slava [35]
2 years ago
7

The property tax on a house, t, is directly proportional to the assessed value, v. If the tax on the house with an assessed valu

e of $155,000 is $2325, find the property tax on a house with an assessed value of $210,000.?
Mathematics
1 answer:
Brut [27]2 years ago
8 0

Answer:

3150

Step-by-step explanation:

2325/155,000 = 0.015 = 1.5%

210,000 x 1.5% = 210,000 x 0.015 = 3150

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The telephone company purchased 192 yards of wire for $2,304 in January. They
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Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

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A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c
slava [35]

Answer:

I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

\frac{dI}{dt}=a*I*(1000-I)

Rearranging and integrating

\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t

At the initial breakout (t=0) there was one trooper infected (I=1)

-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755

In two days (t=2) there were 5 troopers infected

-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725

Rearranging, we can model the number of infected troops (I) as

-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755}  \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}

6 0
2 years ago
The function f(x) = 1/2 x + 2 is changed to f(x) = − 1/2 x + 2. Which describes the effect of the change on the graph of the ori
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Answer:

C

Step-by-step explanation:

This is because the line was growing starting form the y-int=2.

Now the line is decreasing starting from y-int=2.


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3 years ago
Consider the segment below.
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Answer:

B

Step-by-step explanation:

midpoint of EF:  (-3,1/2)

distance of HG: 3.64

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