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3 years ago

Pleaaaase help me with this and explain

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Use formula ab^t
a = initial value
b = growth rate
t = time
Therefore for year 1 = 7200(1.03)^1 = 7416
for years 2-4, just replace the exponent b with how many years.

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Find the sum of series 4/(4n-3) (4n+1)

ANTONII [103]

$\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}$

Assuming the sum starts at $n=1$ , the $N$ th partial sum is

$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)$
$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}$

As $N\to\infty$ , you're left with simply 1.

8 0

3 years ago

15 less than 2 times a number is the same as 7 more than half of the number. what is the number?

romanna [79]

Answer:

x = 14 and 2/3

Step-by-step explanation:

Make an equation where x is the number.

2x - 15 = 7 + 1/2x

Then, solve the equation.

multiply both sides by 2 to get rid of the fraction

4x - 30 = 14 + x

subtract x from both sides

3x - 30 = 14

add 30 to both sides

3x = 44

divide both sides by 3

x = 14 and 2/3

5 0

3 years ago

The time it takes to drive to Joliet is 6 hours more than half the time it takes to drive to Davenport. It takes 8 hours to driv

Molodets [167]

It takes 8 hours to drive to Joliet, and that's 6 hours more than half the time it takes to drive to Davenport. So, I did 8-6 which equals 2. So 2 hours is half the time it takes to get to Davenport, which means it takes 4 hours to get to Davenport.

6 0

3 years ago

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Scientists tagged 950 pike for a research project about a local lake. Later, they trapped 100 pike, of which 10 had tags. To the

Neko [114]

Answer:

9500

Step-by-step explanation:

Scientists tagged 950 pike for a research project about a local lake. Later, they trapped 100 pike, of which 10 had tags. To the nearest whole number, what is the best estimate for the pike population?

The best estimate of a population is calculated as:

= N = mn/k

Where N = Estimate of the population

m = 950 pike

n = 100 pike

k = 10 tags

= 950 × 100/10

= 9500

The best estimate of he population = 9500

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3 years ago

Using graphing to solve the system of inequalities given by y < x + 1

Arturiano [62]

Its the one on the bottom

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3 years ago