Answer:
The inverse f-1(x) = ( x + 10)/2.
Step-by-step explanation:
f(x) = 2x - 10
Find x in terms of f(x):
2x = f(x) + 10
x = (f(x) + 10))/ 2
Replace x by the inverse f-1(x) and f(x) by x:
f-1(x) = (x + 10)/2.
Answer:
systematic
Step-by-step explanation:
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
Answer:
A) 0.54
B) 4.32
C) 2.4
D) 336
Step-by-step explanation:
A)Expected value (you) = (84 × 3) × 
× (0.3)× 
= 0.54
B) Expected value (you) 8 tickets = 0.54 × 8
= 4.32
C) Expected value ( for PTO) = ( 3 - 84) × + ( 3 - 0 ) ×
= 2.4
D) For 140 raffle tickets = 2.4 × 140
= 336
