The amount invested at 5% is $12,000 whereas the remaining $15,000 was invested at 4%
What is the amount of annual return for each investment?
The amount of annual return for each investment is determined as the amount invested multiplied by the rate of return
Let us assume that y was invested at 5% and the 27000-y, the remainder was invested at 4%
Total annual return=(y*5%)+(27000-y)*4%
Total annual return=0.05y+1080-0.04y
total annual return=0.01y+1080
total annual return=1220
1220=0.01y+1080
1200-1080=0.01y
120=0.01y
y=120/0.01
y=$12,000(invested at 5%)
amount invested at 4%=27000-12000
amount invested at 4%=$15,000
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D= cost of discount card
29.50 = d + 1.50(15)
29.50 = d + 22.50
<u>-22.50 -22.50
</u> $7.00 = d
<u /> d = $7
Paul spent $7 dollars on the discount card.
Hope this helped :D.
Answer:
0.229
Step-by-step explanation:
Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387
A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.
We find that mean difference actual = 13-2 = 11
Probability that difference >12 =P(Z>)
=P(Z>0.742)=.0.229
Answer:
a = 55/6
Step-by-step explanation:
<u>Solving in steps:</u>
- 3/5a = 5 1/2
- 3/5a = 11/2
- a = 11/2 : 3/5
- a = 11/2*5/3
- a = 55/6 or 9 1/6
Answer:
u would have 3 cups of sugar
Step-by-step explanation: