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3 years ago

The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models

Mathematics

1 answer:

larisa86 [58]3 years ago

8 0

This models exponential decay.

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Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change

OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

we know that

$x+y+z=260$ ----> equation A

$0.05x+0.10y+0.25z=29.75$ ----> equation B

$x=2z$ ----> equation C

substitute equation C in equation A and equation B

$2z+y+z=260$

$3z+y=260$ ---> equation A1

$0.05(2z)+0.10y+0.25z=29.75$

$0.35z+0.10y=29.75$ -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

z=75, y=35

<em>Find the value of x</em>

$x=2(75)=150$

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0

3 years ago

A rectangle has a length of (x+4) feet and a width of (+7) feet. The expression 2(x+4)+2(x+7) represents the perimeter of the re

Marta_Voda [28]

Answer:

(x+4)+(x+4)+(x+7)+(x+7)

4 0

3 years ago

Read 2 more answers

For which values is this function undefined?

Likurg_2 [28]

I think it’s c but I could be wrong

5 0

3 years ago

What is the average rate of change for the function ( IN THE PIC) over the interval (also in pic) HELP PLSSS ASAP!!!!

solong [7]

It is B because I had the question before in my school

3 0

2 years ago

What is the product of 1 1/2 and -1 1/4?

Savatey [412]

positive number times negative number is negative number "(+)(-) = (-)".

$1\dfrac{1}{2}\cdot\left(-1\dfrac{1}{4}\right)=-\left(1\dfrac{1}{2}\cdot1\dfrac{1}{4}\right)$

we change the mixed numbers to the improper fractions

$=-\left(\dfrac{1\cdot2+1}{2}\cdot\dfrac{1\cdot4+1}{4}\right)=-\left(\dfrac{3}{2}\cdot\dfrac{5}{4}\right)=-\dfrac{3\cdot5}{2\cdot4}=-\dfrac{15}{8}=-1\dfrac{7}{8}$

6 0

3 years ago