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3 years ago

Money committed to something that is expected to produce a financial profit is a?

Mathematics

1 answer:

grigory [225]3 years ago

8 0

Money that is expected to produce a final profit is called an investment.

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A triangle and a trapezoid are graphed on the coordinate plane shown below.

Gre4nikov [31]

Answer:

10 sq units

Step-by-step explanation:

Area of triangle = 1/2(4)(2) or 4 square units

Area of trapezoid = 1/2(2)(2+4) or 6 square units

Combined area = 10 sq units

3 0

2 years ago

find the equation of a cubic function whose graph passes through points (3,0) and (1,4) and is tangent to x-axis at the origin

Tomtit [17]

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

Preliminary Remark

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

(3,0)

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

0 = 27a - 9ah

from which h = 3

From the second point, we get

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

Answer

y = -2x^2(x - 3)

3 0

2 years ago

Find the value of x. Right triangle: Hypotenuse is 11, base is x, angle is 22 degrees.

kirill [66]

We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:
$cos(22) = \frac{x}{11}$

We need to solve for x, so let's isolate it:
$x = 11cos(22) = 10.2$

So, x = 10.2 units

8 0

3 years ago

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

3 years ago

The function f(x)=501170(0.98)x gives the population of a Texas City x years after 1995. What was the population in 1995?

galina1969 [7]

Answer:

The population of a Texas City in 1,995 was $501,170\ people$

Step-by-step explanation:

we have

$f(x)=501,170(0.98^{x})$

we know that

The population in 1,995 is for $x=0$

substitute the value of $x=0$ in the function f(x)

$f(0)=501,170(0.98^{0})=501,170\ people$

4 0

3 years ago