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MAXImum [283]
2 years ago
15

Use the figure to answer the question. What is the area of the triangle on the left?

Mathematics
2 answers:
Anna11 [10]2 years ago
6 0

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

nexus9112 [7]2 years ago
3 0

Answer:

the answer is 29

Step-by-step explanation:

The answer is 12 because

the length is 17 then i did minus 5 since that's the width

17-5=12

that's the length for the slanted part then......

12+12=24+5=29

(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.

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Madison deposited $18 in a savings account that earns 2.5% simple interest. Which graph represent this scenario
Dmitriy789 [7]
The answer is 7.20 because $18 divided by 2.5% is 7.20
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For the equation given below, evaluate y′ at the point (−2,2)<br> xe^y−4y=2x−4−2e^2
jeka94
Implicit differentiation
chain rule is important here

I'll show the steps partially
e^y+xe^yy'-4y'=2
xe^yy'-4y'=2-e^y
y'(xe^y-4)=2-e^y
y'=\dfrac{2-e^y}{xe^y-4}
now evaluate for (-2,2)
x=-2 and y=2
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{e^2-2}{2e^2+4}
that's it, simplest form
3 0
3 years ago
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)

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2 years ago
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Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan.
Marina86 [1]

Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}

A = 7260.50.

More can be learned about the monthly payment formula at brainly.com/question/26267630

#SPJ1

6 0
2 years ago
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