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Katarina [22]
3 years ago
9

A $10,000 investment is made partly in a GIC at 5% and partlly in a mutual fund that will earn 7.5%. If the same amount of inter

est is earned in both, how much was invested in each rate?
Mathematics
1 answer:
kvv77 [185]3 years ago
8 0
Hi there

If the same amount of interest is earned in both so we should create the equation according to that

0.05x=0.075 (10000-x)
Solve for x
0.05x=0.075×10000-0.075x
0.05x=750-0.075x
0.05x+0.075x=750
0.125x=750
X=750÷0.125
X=6000 invested at 5%

10000-6000=4000 invested at 7.5%

Check your answer
0.05×6000=0.075×4000
300=300

Good luck!
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Answer:

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Step-by-step explanation:

The given two length are 2.0 m  and 1.2 m

Length L1 = 2.0 m     And

Length L2 = 1.2 m

SO, The ratio of L1 : L2 = \frac{2.0}{1.2}

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The mean percentange of a population of people eating out at least once a week is 57℅
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Answer:

<u>The correct answer is B. between 56.45% and 57.55% </u>

Complete statement and question:

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?

between 55.89% and 58.11%

between 56.45% and 57.55%

between 56.54% and 57.46%

between 56.07% and 57.93%

Source: brainly.com/question/1068489

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean percentage of a population of people eating out at least once a week  = 57%

Standard deviation = 3.5%

Sample size = 40

Confidence level = 68%

2. In which interval will 68% of the sample means occur?

For answering this question, we should find out the standard deviation of the sample, using this formula:

Standard deviation of the sample = Standard deviation of the population/√Sample size

Standard deviation of the sample = 3.5/√40

Standard deviation of the sample = 3.5/6.32

Standard deviation of the sample = 0.55

Let's recall that a confidence level of 68% means that 68% of the sample data would have a value between the mean - 1 time the standard deviation of the sample and the mean  + 1 time the standard deviation of the sample. Thus:

57 - 1 * 0.55 = 57 - 0.55 = 56.45

57 + 1  * 0.55 = 57 + 0.55 = 57.55

<u>The correct answer is B. between 56.45% and 57.55% </u>

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