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3 years ago

Gina paid $129 for a bicycle that was on sale for 75% of its original price. What was the original price of the bicycle

Mathematics

1 answer:

Olenka [21]3 years ago

8 0

I think the answer is 96.75. if thats even an answer

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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

A car is traveling at a rate of 81 kilometers per hour. What is the cars rate in kilometers per minutes?

Orlov [11]

175 I believe is the answer

6 0

3 years ago

Read 2 more answers

$29000; 4 percent decrease

yulyashka [42]

The easiest way to calculate this, since you don't need to know what the discount is, if the decrease is 4% you still have 96%. Multiply 29,000 x .96= $27,840. If you do it the other way, .04 x 29000= 1160. Then subtract 29000-1160=27850.

6 0

3 years ago

Please help me with math

KatRina [158]

Answer:

The answer is ±3i

Step-by-step explanation:

Can be Rewritten as:

±(√-1 × √9) where √-1 = i and √9=3

Therefore Answer is ±3i

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2 years ago

Given the diagram below, which pair of lines

Olenka [21]

Answer:

Step-by-step explanation:

3 0

2 years ago