Radius = Diameter ÷ 2 = 18 ÷ 2 = 9
Area of circle = πr² = π(9)² = 286 units²
Answer: 9 units²
Answer: If it was the same day, then it was 6:20. But if it was the next day, then i don't know.
Step-by-step explanation:
Answer: The equation would be 15 x 3x then after 8 days would be 360 because 15 x 3(8)=
15 x 24=
360
Step-by-step explanation:
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
Answer:
Step-by-step explanation:
Given that a man has $195,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $18,700 and the amount invested at 8% is twice that invested at 12%.
12% 10% 8% total
Principal x y z 195000
Interest 0.12x 0.1y 0.08z 18700
z=2x
Thus we get three equations as
x+y+z = 195000: 0.12x+0.1y+0.08z = 18700 and z =2x
substitute z value in first 2 equations to get
3x+y = 195000: 0.28x+0.1y = 18700 or 28x+10y =1870000
30x+10y =1950000
2x = 80000 or x = 40000
3(40000)+y = 195000: y = 75000
z = 80000
a) How much is invested in each property?
12% property $ ... 40000
10% property $ ... 75000
8% property $ ... 80000
b) Annual income =