Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."

Answer:

A) $964

B) $651.35

C)  The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D)  $1016.28 ,  $637.63

Step-by-step explanation:

lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )

a) since a 6% interest is earned each day of every payment

will use this formula : S = P( 1 + rt )

therefore  $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192

$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72

hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964

b) when compared with eight years from now

PV = [tex]\frac{FV}{1+rt}[/tex]  = ($964) / ( 1 + (0.06*8) = $651.35

C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D) Repeating parts (a) and (b) using compound interest

using the formula : S = P( 1 + r )^t

therefore $400 paid today will have a compound interest of

= 400 ( 1.06)^8 = $637.54

$300 paid at the end of four years will earn a compound interest of

= 300 ( 1.06 ) ^4 = $378.74

hence FV = 637.54 + 378.74 = $1016.28

when compared with eight years from now

= [tex]\frac{FV}{(1+r)^t}[/tex]  = ( 1016.28 ) / ( 1.06 ) ^8    = $637.63

15 POINTS

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?

A. 10 : 45

B. 30 : 54

C. 6 : 10

D. 27 : 15
explanation if you know how to explain

Do the ratios 8/16 and 1/2 form a proportion?

which shows the mixed number for 9/4 in the simplest form

what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0

What number should the fraction 15/3 be multiplied by in order to equal 1

soo ya marking brainlist 165 points

Find the percent of change
8 feet to 10 feet

help??
Anyone???
7th grade math

HELPPPPPP MEEEEEE PLEASEEEEEE!!!!!!

what is tan 11pie divided by 6?

Please help it’s due

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?

Georgia said she could make 11 out of 20 blankets for a craft show. She has already made 3 blankets. What percent of the 20 blankets does she still have to make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee i wil give you 100 0point i swerare

if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke

What is the equation of the line showed in this graph?

Select the correct answer.
which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
А.
x = -2
B.
x=3
C. y=-8
D.y= 3x - 2

Can someone help plz helpppp!!!!!

A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x^2−6x+9 yd^2.



Area of the flagpole plot: x^2−6x+9



Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)



The length of the base of the flagpole is

Which algebraic expression is equivalent to the expression below?

(8x + 12) + (9x - 3)
A.
20x - 6
B.
17x + 9
C.
29x - 3
D.
17x + 15

Please help it’s due

A 2 1/2 pound of grass seed covers 1/8 of an acre. How much grass seed is needed for 1 acre

-4 2/3 x -1 1/2 with work shown pls

What is 1/10 of the digit in the ten thousand place of 683,906.826.24

Write the equation of the line fully simplified slope intercept form

Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)

find each percent increase
from 20 teachers to 30 teachers ___​

What’s the unit rate for Tegan?

When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the formula 1 V = ar-h, where r is the radius of the base circle, and h is the height of the cone. 3 A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 55 feet high. ft3 Give your answer as an expression (using pi for 7), or as a value accurate to the nearest whole number.​

I need step by step help on how to work out this percentage question ​

1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
​

A bicycle is traveling at 14 miles per hour.
How many feet will it cover in 35 seconds?