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Rus_ich [418]
1 year ago
9

If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a)

10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum​
Mathematics
1 answer:
sdas [7]1 year ago
6 0

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

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The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in
ipn [44]

Answer:

Null hypothesis: ∪ = $7,000

Step-by-step explanation:

The null hypothesis is a general statement that there is no relationship between two measured instances or no association among groups.

In this case, the sales of a grocery store had an average of $7,000 per day is the null hypothesis. Then the research was carried out to test for the effectiveness of the advertising campaigns in increasing sales.

Thus, this is the alternative hypothesis. The researchers wish to test against the null with regards to the involvement of the advertising campaigns.

Thus, the null hypothesis is just the average sales without the advertising campaigns which is

Null hypothesis: ∪ = $7,000

Alternative hypothesis: ∪ ≠ $7,000

5 0
2 years ago
A rectangular prism has a volume of 320 cubic cm. Its height is 8 cm. What is the area of its base? A 40 square cm B 4 square cm
Airida [17]
Volume of a prism is height x base x length. the area of the base would be calculated from the volume/ height so 
320/8 = 40 cm squared
3 0
2 years ago
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
alina1380 [7]

Answer:

1.734

Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

The fitted regression is Time = −7.126 + .0214 Distance

Based on a sample size n = 20

And an Estimated standard error of the slope = 0.0053

the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:

Let's determine the degree of freedom df = n - 1

the degree of freedom df = 20 - 2

the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

For a right tailed test t, the critical value from the t table is :

t_{0.05, 18} = 1.734

5 0
2 years ago
A tooth-whitening gel is to be tested for effectiveness. A group of 85 adults have volunteered to participate in the study. Of t
Lina20 [59]

Answer:

(a) 3, 5 and 6

Step-by-step explanation:

In the experiment, 43 are to be given a gel that contains the tooth-whitening chemicals while the remaining 42 are to be given a placebo. Therefore, a placebo is used.

The 43 that will receive the gel are to be selected randomly.

After the experiment, the whiteness of the two groups will be compared to see the effect of the gel.

Therefore for the experiment to be completely random,  3, 5, and 6 apply.

(b)

For the experiment to be double-blind, the researchers who will evaluate the whiteness and interact with the subjects, and the subjects would not know which subjects received either the whitening gel or the placebo.

5 0
2 years ago
In 1970 the population of the United States was 203 million. Ten years later, in 1980, the population of the United States was 2
andrezito [222]

Answer:

The exponential function for the US population is:

y = 203\cdot e^{0.0107\cdot t}

Step-by-step explanation:

Let be supposed that US population can be modelled by means of the following exponential function:

y = A \cdot e^{B\cdot t}

Where:

t - Time, measured in years. Where t = 0 for 1970.

A - Initial population, in millions inhabitants.

B - Exponential rate constant, in years.

y - Population, in millions inhabitants.

Each constant is found hereafter:

A

203 = A \cdot e^{B\cdot 0}

203 = A \cdot 1

A = 203

B

226 = 203\cdot e^{B\cdot 10}

\frac{226}{203} = e^{10\cdot B}

10\cdot B = \ln \frac{226}{203}

B = \frac{1}{10}\cdot \ln \frac{226}{203}

B = 0.0107

The exponential function for the US population is:

y = 203\cdot e^{0.0107\cdot t}

4 0
2 years ago
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