Juan's least integer scores in both tests will be 85 and 100 respectively.
- Test average of his two scores is atleast 92
Let :
- Score on test 1 = b
- Score on test 2 = b + 15
Average score can be related thus:
- (Sum of score ÷ number of test) ≥ 92
- (b + b + 15) ÷ 2 ≥ 92
- (2b + 15) ÷ 2 = 92
- 2b + 15 = 184
- 2b = 184 - 15
- 2b = 169
- b = 169 ÷ 2
- b = 84.5
Therefore, since both scores are integers, his least scores on both tests will be ::
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X= 5x Y=-6 I just added them together
So to start off with this problem, let us call the amount invested in Plan A and B as a and b respectively.
So equation 1: a + b = 250,000
Next, we need to get an equation which is equal to 10,000. So the interest rate in plan a + interest rate in plan b would be equal to 10,000. Rewriting this sentence will give us:
Equation 2: .028a + 0.078b = 10,000
Rewrite the first equation into a = 250,000 - b, and then plug the value into equation 2.
.028(250,000 - b) + 0.078b = 10,000
7,000 - 0.028b + 0.078b = 10,000
-0.028b + 0.078b = 10,000 - 7,000
0.05b = 3,000
b = $60000 amount invested at 2.8% while
250,000 - 60,000 = $190,000 is the amount invested at 7.8%
Answer:
A
Step-by-step explanation: