Answer:
x = 15
y = 21
Step-by-step explanation:
*triangle sum theorem*
(6x - 11)° + (81)° + (x + 5)° = 180°
(7x - 6)° + (81)° = 180°
(7x)° + (75)° = 180°
(7x)° = (105)°
x = 15
________________
*vertical angle theorem* *triangle sum theorem*
(6x - 11)° + (4y - 18)° + (y + 14)° = 180°
^
|
15
(79°) + (4y + y) + (14 - 18)°
_________________________
(79)° + (5y - 4)° = 180°
(5y)° + (75)° = 180°
(5y)° = 105°
y = 21
Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20
Answer:
What is the radius of the bubble?
Step-by-step explanation: