Answer:
30.66 or 30.70 if rounding up
Step-by-step explanation:
Answer:
The answer in interval notation is ( 73 , 100 )
Step-by-step explanation:
If we call x and y the lower and upper values for David to get an average of 80 and 89 respectively, we can calculate these two values solving a pair of equations:
(81 + 92 + 74 + x ) / 4 = 80 ⇒ (247 + x )/4 = 80
247 + x = 320 ⇒ x = 320 - 247
x = 73
And
(81 + 92 + 74 + y ) / 4 = 89 ⇒ ( 247 + y ) / 4 = 89
247 + y = 356
y = 356 - 247
y = 109
But tests are a 100-point test
Then the answer in interval notation is ( 73 , 100 )
5500*.025=137.50*8=1100
Take the principle times the intrest rate times 8. 1100 for 8 years or 137.50 for 1 year
Answer:
x=11
Step-by-step explanation:
We know that the angle is equal to 1/2 the difference of the long arc length between where the line segments touch the circle and the small arc length where the line segments touch the circle
They long distance is 360 - (86+74) = 200
The small distance is 86
4x+13 = 1/2 ( 200 - 86)
4x+13 = 1/2 (114)
4x+13 = 57
Subtract 13 from each side
4x+13-13 = 57-13
4x= 44
Divide by 4
4x/4 = 44/4
x=11
<b and the angle 79 degrees are exterior alternate angles which are equal
b = 79 degrees.