Answer:
82.4
Step-by-step explanation:
divide 51/13, multiply that result by 21.
Answer:
-42
Step-by-step explanation:
Answer:
x=147°
Step-by-step explanation:
1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.
2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.
3. Solve for x:
a. Multiply 33 by 2
66+2x=360
b. Subtract 66 from both sides
66+2x=360
-66 -66
2x=294
c. Divide both sides by 2

x=147
4. Remember to add your label- the degree sign (°)
x=147°
Answer:
He has $1,123.60 by the end of 2 years
Step-by-step explanation:
The equation used to find the total amount is A = P(1 + r)^n
A is the total amount (what we need to find)
P is the principal amount (It is the $1,000)
r is the rate (It is 6%, or 0.06)
n is the years the investment lasts (It is 2)
We get the equation:
A = $1,000(1 + 6%)^2, or A = 1000(1 + 0.06)^2
Simplify to get:
A = 1000(1.06)^2. Since 1.06^2 = 1.1236 it becomes:
A = 1000(1.1236). Since 1000 * 1.1236 = 1123.6
So, A = 1123.6. He gets $1,123.60