Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
To solve for the A or the principal amount plus interest you can use two formulas:
A = P + I
Where: P = Principal
I = Interest
or you can use
A = P (1+ rt)
Where: P = principal
r = rate in decimal
t = time in years
With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.
Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40
Your A is then equal to $488.40
If you need to get the simple interest all you need to use is the first formula given:
A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40
$266.40 is the added interest to the principal amount.
Answer:
The cost of the television is 
Step-by-step explanation:
Let
x -----> the cost of the television in dollars
we know that
The cost of the television represent 100%
<em>If Matt pays cash</em>
then
so
The cost is 0.93x
<em>If Matt pays with a loan</em>
then
so
The cost is 1.1x
The difference between the two methods is
Remember that
The difference between the two methods is $49.98
so
Solve for x
Think through this one...
9:48 + 9 minutes = 9:57
9:57 + 30 minutes = 10:27
10:27 + 3 hours = 1:27 p.m.
