A population of endangered birds decreases by 3% each year.a. If the current population is 30,000 birds, write an equation that represents the number of birds, N, in terms of the number of years, T, from the present.

b. Approximately what will the bird population be after twenty years? Round your answer to the nearest thousand.

Answers

Answer 1

Answer: Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000 $(1-0.03)^(2)$

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000.

Answer 2

Answer:

Answer: a) The required equation is,

$N=30000(0.97)^T$

b) The approximately population of the birds after 20 years is 16314.

Step-by-step explanation:

a) Since, the initial population, P = 30,000

The rate of increasing, r = 3% per year,

Hence, the population of birds after T years,

$N=P(1-(r)/(100))^T$

$\implies N = 30000(1-(3)/(100))^T$

$\implies N = 30000(1-0.03)^T$

$\implies N=30000(0.97)^T$

Which is the required equation.

b) Now, for T = 20 years,

The population of birds,

$N(20)=30000(0.97)^(20)=30000* 0.543794342927=16313.8302878\approx 16314$

⇒ The approximately population of the birds after 20 years is 54183.

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Chris earns four times Vesna's wage v and Vesna earns $17 more than Dawn. How many dollars does Chris earn if their combined wages are $163?

Find the product. -mnp(3m - 5n 7p)

Answers

If you would like to find the product, you can calculate this using the following steps:

-mnp * (3m - 5n7p) = -mnp * 3m + mnp * 5n7p = -3m^2np + 35mn^2p^2

The correct result would be -3m^2np + 35mn^2p^2.

$-mnp(3m-5n7p)=\n\n-mnp*3m+mnp*5n7p=\n\n-3m^2np+35mn^2p^2\n\n\sf\ ANSWER={\boxed{-3m^2np+35mn^2p^2}$

QUESTION 1Imported Asset

Marta borrowed $1,380 for 15 months at 13 percent APR. What will be Marta's monthly payment?

A. $101.17

B. $96.76

C. $117.56

D. $106.95

QUESTION 19

Use the table of interest.
Imported Asset

Andrea borrowed $2,240 at 15 percent APR for 18 months. How much interest will she pay?

A. $336
B. $504
C. $448
D. $490

QUESTION 2

Use this table to find the monthly payment.
Imported Asset

Mark borrowed $5,500 at 11.5 percent for five years. What is his monthly payment?
A. $131.50
B. $173.50
C. $120.95
D. $150.22

Answers

Answer:

1) (D)

2) (B)

3) (C)

Step-by-step explanation:

1) Amount borrowed = $1380 (P)

APR =13% or 0.13 (R)

Time = 15 months (T) = 15/12

Interest amount = $(P*R*T)/(100)$

= $(1380*13*15)/(1200)$

= $224.25

Total amount = 1380+224.25

= $1604.25

Monthly payment = 1604.25/15 = $106.95 (D)

2) Amount borrowed = $2240

APR = 15% or 0.15

Time = 18 months

Interest = $(P*R*T)/(100)$

= $(2240*15*18)/(1200)$

= $504 (B)

3) Amount borrowed = $5500

APR = 11.5% or 0.115

Time = 5 years

n= 12 (compounded monthly)

M = $(P)/((1-(1+r/n)^(-nt))/(r/n) )$

= $(5500)/((1-(1+(0.115)/(12) )^(-60))/((0.115)/(12)) )$

= $120.95 (C)

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution?2x + y = −10
3x + 4y = −20

A) multiply the first equation by 4 and subtract the second equation
B) multiply the first equation by −4 and add the second equation
C) add 8 times the first equation and −2 times the second equation
D) multiply y by 4 in the first equation and subtract the second equation

Answers

Answer:

Option D) multiply y by 4 in the first equation and subtract the second equation

Step-by-step explanation:

we have

2x+y=-10 ----> first equation

3x+4y=-20 ---> second equation

Verify each case

case A) multiply the first equation by 4 and subtract the second equation

(2x+y)*4=-10*4 ------> 8x+4y=-40

[8x+4y=-40]-[3x+4y=-20] -----> 5x=-20 -----> x=-4

This step is correct

case B) multiply the first equation by -4 and add the second equation

(2x+y)*-4=-10*-4 ------> -8x-4y=40

[-8x-4y=40]+[3x+4y=-20] ----->-5x=20 -----> x=-4

This step is correct

case C) add 8 times the first equation and −2 times the second equation

(2x+y)*8=-10*8 ------> 16x+8y=-80

(3x+4y)*-2=-20*-2 ----> -6x-8y=40

[16x+8y=-80]+[-6x-8y=40] ----->10x=-40 -----> x=-4

This step is correct

case D) multiply y by 4 in the first equation and subtract the second equation

2x+4y=-10

[2x+4y=-10]-[3x+4y=-20] -----> -x=-10+20 -----> x=-10

This step is incorrect

NOT produce a system with the same solution

Factor 3d^2 - d - 24

Answers

Using the AC method for factoring.....

you should get the answer of...

(3d+8)(d-3)

Which is the best estimate of
11 1/5 and 2 3/4

Answers

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of 11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

$11(1)/(5)/ 2(3)/(4)$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)$

$11(1)/(5)=(11\cdot 5+1)/(5)=(56)/(5)$

$2(3)/(4)=(2\cdot 4+3)/(4)=(11)/(4)$

so the expression becomes

$11(1)/(5)/ 2(3)/(4)\:=(56)/(5)/ \:(11)/(4)$

$=(56)/(5)* (4)/(11)$

$=(56* \:4)/(5* \:11)$

$=(224)/(5* \:11)$

$=(224)/(55)$

$=4.07$

$= 4$ (Rounded to the nearest 1 orthe Ones Place)

Therefore, the best estimate of 11 1/5 divided by 2 3/4 will be: 4

Which of the following could not be the lengths of the sides of a right triangle?A. 9ft, 12 ft, 15ft

B. 5in, 10in, 15in

C. 4cm, 7.5, 8.5cm

D. 1.5m, 2m, 2.5

Answers

B. 5in, 10in, 15in is the answer

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