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2 years ago

The following present value factors are provided for use in this problem.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

6 0

The net present value of machine is $5982

<h3>What is investment?</h3>

An investment is an asset or item acquired with the goal of generating income or appreciation.

As, 4th Year Cash Flow

= Salvage Value + Expected End Year Net Cash Flow

= $1,200 + $12,500

= $13,700

Year Cash flow ($) PVF at 8% Present value ($)

0 37,500 1.000 -36,300

1 12,500 0.9259 11573.75

2 12,500 0.8573 10716.25

3 12,500 0.7938 9922.5

4 13,700 0.7350 10069.5

Net value 5982

Hence, net present value of machine is $5982

Learn more about this concept here:

brainly.com/question/16186541

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Simplify the expression. Write your answer without negative exponents.

pantera1 [17]

Answer: $\frac{5a^2}{-10a^4b^9}$

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

3 0

4 years ago

Find The Gradient of the tangent to the Curve y=x²-3x at the point (2,-2)

rusak2 [61]

Answer:

A non-calculus solution follows afterward.

For a calculus solution, the gradient is the first derivative with the point put in.

y = -x²+3x

dy/dx or y’ = -2x +3 is the gradient at any point.

but the tangent is at x = 2 so put it in

y’ = -(2*2)+3 = -1 is the gradient of the tangent at point (2,2)

Non-calculus solution:

y = -x²+3x 1️⃣but slope of tangent m = (y-2)/(x-2)2️⃣

put 1️⃣ into 2️⃣ and rearrange ⟹ mx-2m+x²-3x+2 = 0

or x²+(m-3)x+2–2m =0

but for a tangent the discriminant b²-ac = 0

(m-3)²-4*1*(2–2m) = 0

m²+2m+1 = 0

(m+1)(m+1) = 0

m = -1 is the is the gradient of the tangent at point (2,2)

Step-by-step explanation:

5 0

3 years ago

What is the area of the composite figure? 500 490.62 245.31 745.31

Lina20 [59]

ANSWER

745.31

EXPLANATION

The composite figure is made up of a rectangle and a semicircle.

The area of the rectangular portion

$Area=l \times w$

$Area=25 \times 20 = 500c {m}^{2}$

The semicircle has a radius of

r=12.5cm

The area of the semicircular portion is

$Area= \frac{\pi \: {r}^{2} }{2}$

Substitute the value of r and π=3.14 to obtain,

$Area= \frac{(3.14) \times {12.5}^{2} }{2} = 245.3125 {cm}^{2}$

We add the two areas to obtain, the area of the composite figure.

500+245.3125=745.31 cm² to the nearest hundredth.

4 0

3 years ago

How do you solve pyth thm

Rzqust [24]

Answer:

not sure what ur asking need context but the formula is a^2 + b^2 = c^2

Step-by-step explanation:

8 0

3 years ago

Will give Brainliest to whoever can help me

Murrr4er [49]

Answer:

-4/3, -0.4, 0.8, $\sqrt 2$ , $\sqrt 11$

Step-by-step explanation:

-4/3 equals -1.333(repeating)

\sqrt 2 = 1.4

\sqrt 11 = 3.3

7 0

4 years ago