The formula is principal x ( 1+ interest rate)^ number of years
5%:
20,000 x 1.05^3 = $23152.50 total
Interest = 23152.50-20000= $3,152.50
10%
20000 x 1.10^3 = $26,620.00
Interest = 26620-20000 = $6,620
12%
20000 x 1.12^3 = $28,098.56
Interest = 28098.56-20000 = $8.098.56
Step-by-step explanation:
(2 × 1/2 × 20 × 15) + (16 ×15) + (20 × 16) + (25×16)
300 + 240 + 320 + 400 = 1260 ft²
Answer:
{x,y} = {89/37,-71/37}
Step-by-step explanation:
8x = 3y + 25
[2] x = 3y/8 + 25/8
Plug this in for variable x in equation [1]
[1] 6•(3y/8+25/8) + 7y = 1
[1] 37y/4 = -71/4
[1] 37y = -71
Solve equation [1] for the variable y
[1] 37y = - 71
[1] y = - 71/37
By now we know this much :
x = 3y/8+25/8
y = -71/37
Use the y value to solve for x
x = (3/8)(-71/37)+25/8 = 89/37
Step-by-step explanation:
this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.
The objective function is
Maximize
35A+42B+20C=P
subject to constraints(board and wicker)
The constraints are
board
7A+5B+4C=3000
wicker
4A+5B+3C=1400
A>0, B>0, C>0
A. define the variables : a = abby's miles, j = james' miles
b. a = j + 4......j = a - 4
c. a + j = 28
a = j + 4
d. (j + 4) + j = 28
2j + 4 = 28
2j = 28 - 4
2j = 24
j = 24/2
j = 12
a = j + 4
a = 12 + 4
a = 16
e. check..
a + j = 28
16 + 12 = 28
28 = 28 (correct)
solution is : abby's miles (a) = 16
james' miles (j) = 12
