Question

1. Cheraw Auto Repair believes that it will need new equipment in 10 years. The equipment will cost 11) $26,000. What lump sum should be invested today at 8% compounded semiannually, to yield $26,000?

2. 4x2 x 2 Find the values of x where the tangent line is horizontal for the graph of f(x)- A)x=-2 C)x=-2, x=0, x=-4 B)x=0,x=-2

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Semi annual interest=(8/2)=4%=0.04

Future value (FV)=Present Value (PV)*((1+i)^N)

i=Interest per period=0.04

N=Number of Periods=10*2=20

Future Value (FV)=$26000

Lump sum to be invested today=PV=FV/((1+i)^N)=26000/(1.04^20)= $11,866.06

Lumpsum to be invested today

$11,866.06

Add a comment
Know the answer?
Add Answer to:
1. Cheraw Auto Repair believes that it will need new equipment in 10 years. The equipment will co...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 11./Southwest Dry Cleaners believes that it will need new equipment in 11 years. The equipment will...

    11./Southwest Dry Cleaners believes that it will need new equipment in 11 years. The equipment will cost $175,000. What lump sum should be invested today at 4.21% compounded continuously, to obtain an amount of $175,000? The lump sum is: (A) between $109,800 and $109,900 (B) between $109,900 and $110,000 (C) between $110,000 and $110,100 (D) between $110,100 and $110,200 (E) between $110,200 and $110,300

  • (1 point) Suppose that f(x) = (3x + 5). (A) Find an equation for the tangent...

    (1 point) Suppose that f(x) = (3x + 5). (A) Find an equation for the tangent line to the graph off at x = 2. Tangent line: y = (B) Find the values of a where the tangent line is horizontal. If there are no such values, enter - 1000. Values of x =

  • Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx)...

    Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...

  • f(1,y) = x² + 4xy + y2 – 2.c + 2y +1. f(x,y) has a horizontal...

    f(1,y) = x² + 4xy + y2 – 2.c + 2y +1. f(x,y) has a horizontal tangent 1. Find all points (a,b,c) where the graph z = plane (parallel to the xy-plane). 0 has a horizontal 2. Find all points (a,b) where the level curve f(x,y) tangent line (parallel to the z-axis).

  • Find all values on the graph of f(x) = x + 2 sin x for 0...

    Find all values on the graph of f(x) = x + 2 sin x for 0 < 3 < 2 where the tangent line has slope 0.

  • x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...

    x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...

  • Show that tan(x) – 1 2. Let y = sec(x) 1 + tan(x) y' sec(x) 3....

    Show that tan(x) – 1 2. Let y = sec(x) 1 + tan(x) y' sec(x) 3. Find all x-values where the graph of f(x) = x – 2 cos(x)has a horizontal tangent line.

  • 1. Find the first and second partial derivatives: A. z=f(x,y) = x2y3 - 4x2 + x2y-20...

    1. Find the first and second partial derivatives: A. z=f(x,y) = x2y3 - 4x2 + x2y-20 B. z=f(x,y) = x+ y - 4x2 + x2y-20 2. Find w w w x2 - 4x-z-5xw + 6xyz2 + wx - wz+4 = 0 Given the surface F(x,y) = 3x2 - y2 + z2 = 0 3. Find an equation of the plane tangent to the surface at the point (-1,2,1) a. Find the gradient VF(x,y) b. Find an equation of the plane...

  • 1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr...

    1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr +1" has domain (-0,0). 6. [10 marks] Sketch the graph of y = -2 -2 log: (2-2) and find its domain, range, -intercept and y-intercept. Show your transformations step by step. 7. (12 marks] (a) [8 marks) Find the equation of the tangent line to the graph of the function f(x) = 3.0" - 6x2 - 7 at = 2 (b) (4 marks) Find...

  • 5x + 1 Use the definition of the derivative to find the derivative of the function...

    5x + 1 Use the definition of the derivative to find the derivative of the function f(x) = *-*2. Then find all x-values (if any) where the tangent line is horizontal. If the tangent line is horizontal for all X, write R for your answer. If the tangent line is never horizontal, write None for your answer Answer 3 Points Keypad 11 1'(x) = 2 Tangent is horizontal at x = Prev Nex If f(3) = -1, f(3) = 17,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT