Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28
Multiples of 3.5: 3.5, 7, 10.5, 14, 17.5, 21, 24.5, 28
Multiples of 4: 4, 8, 12, 16, 20, 24, 28
The least common multiple of the 3 numbers is 28, so the lights will flash at the same time every 28 minutes.
The time will be 8:28 PM
Answer: C. 6 1/6
Step-by-step explanation:
2 * -5 * -7 = -10 * -7 = 70
70 + 4 = 74
3 * 4 = 12
74/12 = 6 1/6
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Question
the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.
Answer:
(10,-14)
0 + x
--------- = 5 Multiply both sides by 2 ----> 0 + x = 10 or x = 10
2
2 + y
-------- = -8 Multiply both sides by 2 ----> 2 + y = -16 or y = -14
Therefore, the coordinates of point S should be at (10,-14)