Answer:
The employee's salary after 9 years will be$70800
Step-by-step explanation:
find the % raise of the salary per year:2%×$60000=$1200
Then multiply the raise by the number of years:$1200×9=$10800
finally add the product with the initial salary:$10800+$60000=$70800
Answer: Option C
Step-by-step explanation:
C because 6+1=1+1+1+1+1+1+1
17(k + 6) > 3(5k + 4)
17(k) + 17(6) > 3(5k) + 3(4)
17k + 102 > 15k + 12
- 17k - 15k
2k + 102 > 12
- 102 - 102
2k > -90
2 2
k > -45
The probability of getting an even number is 1/2 on each throw. So getting an even number on all three throws is 1/23=1/8.
Recall that
sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2
so that
sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2
sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2
Then
sin²(7<em>π</em>/8) + sin²(5<em>π</em>/8) = (1 - cos(7<em>π</em>/4) + 1 - cos(5<em>π</em>/4))/2
… = 1 - 1/2 (cos(7<em>π</em>/4) + cos(5<em>π</em>/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
