Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
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
Y=3(-3) x 2
y= -9 x 2
y=-18
.............
Answer: 7 4/9
Step-by-step explanation:
Find least common denominator of 3 and 9, which is 9. So, 11 1/9 - 3 6/9 = 7 4/9
Answer: 9 rolls of cloth A and 44 roles of cloth B
Step-by-step explanation:
Let x represent the number of rolls of cloth A that can be dyed and dried.
Let y represent the number of rolls of cloth B that can be dyed and dried.
A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that
50x + 55y = 2880- - - - - - - -1
A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that
45x + 30y = 1740- - - - - - - -2
Multiplying equation 1 by 45 and equation 2 by 50, it becomes
2250x + 2475y = 129600
2250x + 1500y = 87000
Subtracting, it becomes
975y = 42600
y = 42600/975
y = 44
Substituting y = 44 into equation 1, it becomes
50x + 55 × 44 = 2880
50x + 2420 = 2880
50x = 2880 - 2420
50x = 460
x = 460/50
x = 9
Answer:
i got b but truly i dont know the answer im just tryna get some points u heard
