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3 years ago

Write an equation and solve

Mathematics

1 answer:

hjlf3 years ago

7 0

Answer:

$10.75

Step-by-step explanation:

41 / 4 = 10.25

71.75 / 7 = 10.25

One ticket would cost $10.75

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The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), whe

AleksandrR [38]

Using the inverse function, it is found that the equation is:

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is 20.

---------------------------

We want to find the inverse of:

$y = P^{-1}(t) = 10\ln{50t - 1000}$

To do this, we <u>exchange y and t, and isolate y.</u>

Then:

$10\ln{50y - 1000} = t$

$\ln{50y - 1000} = \frac{t}{10}$

$e^{\ln{50y - 1000}} = e^{0.1t}$

$50y - 1000 = e^{0.1t}$

$50y = e^{0.1t} + 1000$

$y = \frac{e^{0.1t} + 1000}{50}$

$y = \frac{e^{0.1t}}{50} + \frac{1000}{50}$

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is:

$P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02$

Rounding, 20.

A similar problem is given at brainly.com/question/23950969

5 0

3 years ago

Which fraction is equivalent to 0.125?

DIA [1.3K]

1/8= 0.125

.125*8= 1

Some fractions also equivalent are:

2/16, 4/32, 8/64

I hope this helps!
~cupcake

5 0

3 years ago

A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many s

vaieri [72.5K]

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = $x$

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) $x$ number of times.

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = $x \times 6.50$

We know that total money spent is $182.

$\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28$

The ticket is bought for 28 students

8 0

3 years ago

Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.

Lena [83]

Answer:

Step-by-step explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

$Janet:\\9ft \: in \: 15 \:minutes$

$\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36$

Janet can plant 36 feet of carrots in one hour

$Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34$

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly

6 0

3 years ago

Manipulate the triangle so angle A measures 41° and

Sergio039 [100]

Answer: angle B will be 90°

Sum of the angles = 180°

4 0

3 years ago

Read 2 more answers