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MA_775_DIABLO [31]
3 years ago
6

!!!50 points!! What are two other names for <2?

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.

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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

P(50) = 11

x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
2 years ago
How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9
ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})

Where:

\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

\frac{5.9}{100}=0.059

Now we substitute the values:

PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})

Now we solve the operations, we get:

PV_{\text{ord}}=39462.50

Therefore, the present value must be $39462.50

8 0
1 year ago
Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy
astraxan [27]

Answer:

it's c

Step-by-step explanation:

there are 8 bears and 6 monkeys!

hope this helps:)

3 0
3 years ago
Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.
Anastasy [175]
Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also y^{2} =  x^{2} + (25)^{2}  \\ =  (15sinA)^{2} + 625 \\ =225 sin^{2} A+625 \\ y= \sqrt{225 sin^{2} A+625} &#10;
The last option
3 0
3 years ago
Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 399. Find the numbers.
julsineya [31]

Answer:

The answer is 3

Step-by-step explanation:

5 0
3 years ago
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