Answer:
Nick invested $36,800 and Matt invested %55,200.
Step-by-step explanation:
<u>Answer:</u>
100
<u>Step-by-step explanation:</u>
Given :
Terms ( n ) = 100
First term ( a ) = 100
Series = > 100 + 98 + 96 .......
Common difference ( d ) = 98 - 100 = > - 2
We know sum formula:
S_n = ( n / 2 ) ( 2 a + ( n - 1 ) d )
= > S_100 = ( 100 / 2 ) ( 200 + ( 100 - 1 ) - 2 )
= > S_100 = 50 ( 200 - 198 )
= > S_100 = 50 ( 2 )
= > S_100 = 100
Therefore, sum of first 100 terms is 100.
y = 90° (linear pair)
x = 180° - (50° + 90°) [Angle Sum Property]
x = 180° - 140°
x = 40°
=》 x = 40° & y = 90°
______
Hope it helps ⚜
Answer:
(c) 0.325
Step-by-step explanation:
Given,
The number of bolts = 12,
Numbers of nuts = 10,
Total items = 12 + 10 = 22
Thus, the number of ways of choosing 8 items out of 22 items = C(22,8)
Now, the number of ways of choosing 4 bolts and 4 nuts = C(12, 4) × C(10, 4)
Hence, the probability of getting four bolts and four nuts
Therefore, option (c) is correct.
Answer: 17/7
Step-by-step explanation: Step 1: Simplify both sides of the equation. y+4/15 + 2y−5/5 = 2/5 1/15 y+ 4/15 + 2/5 y+−1= 2/5 (Distribute) ( 1/15 y+ 2/5 y)+( 4/15 +−1)= 2/5 (Combine Like Terms) 7/15 y+ −11/15 = 2/5 7/15 y+ −11/15 = 2/5 Step 2: Add 11/15 to both sides. 7/15 y+ −11/15 + 11/15 = 2/5 + 11/15 7 15 y= 17/15
