Answer:
Step-by-step explanation:
z = 102 degree (opposite angles of a parallelogram are equal)
z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)
102 + x + 34 = 180
x = 180 - 136
x = 44 degree
y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)
y + 102 + 44 = 180
y = 180 - 146
y = 34 degree
Answer:
Hope this helps!
Step-by-step explanation:
We will need the loan payment formula:
That formula is really complex and we expect you to solve it.
Your monthly payment would be $1.93 per month for 6 years making the TOTAL loan cost 1.93 * 12 * 6 = 138.96
Since the principal you borrowed is $120 the total interest =
(138.96 minus 120.00) which equals $18.96
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
Answer:
a. 
b. 
c. 
d. -6t - 5
Step-by-step explanation:
When a number has the same variable as another, you can add or subtract them
So for the first one, you can do
(But don't forget the 
!)
So it is:
Continue this process for the rest of them
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
