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3 years ago

The fox population in a certain region has a relative growth rate of 5 percent per year. It is estimated that

Mathematics

1 answer:

Wewaii [24]3 years ago

3 0

Use the function from part a to estimate the fox population in the year 2006.round to the nearest fox

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Use Gauss's approach to find the following sums (do not use formulas) a 1+2+3+4 998 b. 1+3+5 7+ 1001 a The sum of the sequence i

valkas [14]

Answer:

(a) 498501

(b) 251001

Step-by-step explanation:

According Gauss's approach, the sum of a series is

$sum=\frac{n(a_1+a_n)}{2}$ .... (1)

where, n is number of terms.

(a)

The given series is

1+2+3+4+...+998

here,

$a_1=1$

$a_n=998$

$n=998$

Substitute $a_1=1$ , $a_n=998$ and $n=998$ in equation (1).

$sum=\frac{998(1+998)}{2}$

$sum=499(999)$

$sum=498501$

Therefore the sum of series is 498501.

(b)

The given series is

1+3+5+7+...+ 1001

The given series is the sum of dd natural numbers.

In 1001 natural numbers 500 are even numbers and 501 are odd number because alternative numbers are even.

$a_1=1$

$a_n=1001$

$n=501$

Substitute $a_1=1$ , $a_n=1001$ and $n=501$ in equation (1).

$sum=\frac{501(1+1001)}{2}$

$sum=\frac{501(1002)}{2}$

$sum=501(501)$

$sum=251001$

Therefore the sum of series is 251001.

8 0

3 years ago

A quilt was originally priced at $25 but went on sale for 20% off. If Pamela bought the quilt and paid 10% sales tax, how much d

love history [14]

Answer:

22.20

Step-by-step explanation:

25 × .80 ×1.10=22.20

5 0

3 years ago

2. Use Routh-Hurwitz criterion to judge the stability of the polynomial: tell how many poles on right, left or on the jw-axis of

mestny [16]

Answer:

the answer is in the attachment

Step-by-step explanation:

4 0

4 years ago

Lateral area of a cone with a radius of 5 and slant height of 13

USPshnik [31]

Area of the cone without the base is pi * radius * the slant height.
65 pi
204.2035

4 0

3 years ago

Consider the initial value problem:

Inessa05 [86]

Answer:

a. y(t) = 0

Step-by-step explanation:

There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.

4 0

3 years ago