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4 years ago

6

Ms. Kendrick earned $3,600 each month last year this year she has a pay raise of 15% how much more money does she earn this year

than last year

2 answers:

nikitadnepr [17]4 years ago

6 0

$3,060 hope this helps

Bas_tet [7]4 years ago

3 0

I dumb I can’t answer this

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

nadezda [96]

Answer:

7.16666666667

Step-by-step explanation:

5+6+6+20+3+3=43

43/6 because their are 6 numbers

43/6=7.16666666667

and 7.16666666667 simplified is 7.16

6 0

2 years ago

Find the area of the given triangle. The area of the triangle is __ un^2.

kipiarov [429]

Answer:

40

Step-by-step explanation:

A = (1/2)bh = (1/2)(4)(20) = 40

7 0

2 years ago

What is the following product? Assume x ≥ 0

Savatey [412]

For this case we must multiply the following expression:

$\sqrt [3] {x ^ 2} * \sqrt [4] {x ^ 3}$

By definition of properties of otencias and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the terms of the expression:

$\sqrt [3] {x ^ 2} = (x ^ 2) ^ {\frac {1} {3}} = (x ^ 2) ^ {\frac {4} {12}}\\\sqrt [4] {x ^ 3} = (x ^ 3) ^ {\frac {1} {4}} = (x ^ 3) ^ {\frac {3} {12}}$

So, we have:

$(x ^ 2) ^ {\frac {4} {12}} * (x ^ 3) ^ {\frac {3} {12}} =$

Applying the above definition we have:

$\sqrt [12] {(x ^ 2) ^ 4} * \sqrt [12] {(x ^ 3) ^ 3} =$

We multiply the exponents:

$\sqrt [12] {x ^ 8} * \sqrt [12] {x ^ 9} =$

We combine using the product rule for radicals.

$\sqrt [12] {x ^ 8 * x ^ 9} =$

By definition of multiplication properties of powers of the same base, we put the same base and add the exponents:

$\sqrt [12] {x ^ {8 + 9}} =\\\sqrt [12] {x ^ {17}} =\\\sqrt [12] {x ^ {12} * x ^ 5} =\\x \sqrt [12] {x ^ 5}$

Answer:

Option C

4 0

3 years ago

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.

IrinaVladis [17]

A = π • r^2
C = 2 • π • r

A = 25 π
C = 10 π

Your answer is C) 10π; A = 25π

7 0

3 years ago

Read 2 more answers