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mamaluj [8]
3 years ago
5

You have $55,000 in savings account that pays 2% intrest per year. The inflation rate that year is 3.24%. How much do you make i

n intrest each year
Mathematics
1 answer:
Sever21 [200]3 years ago
6 0
Your interest formula is given to you.

Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)

Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100

How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise prices are going up faster than you're saving.

Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782

How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.

Hope that helped :)
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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a m
Harrizon [31]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 3.50 mg  

     Alternate Hypothesis, H_A : \mu > 3.50 mg

(b) The value of z test statistics is 2.50.

(c) We conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

(d) The p-value is 0.0062.

Step-by-step explanation:

We are given that Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. Assuming a known standard deviation of 0.18 mg.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average mg of mercury in compact fluorescent bulbs.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is no more than 3.50 mg}

Alternate Hypothesis, H_A : \mu > 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg}

The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean mg of mercury = 3.59

            \sigma = population standard deviation = 0.18 mg

            n = sample of bulbs = 25

So, <em><u>test statistics</u></em>  =  \frac{3.59-3.50}{\frac{0.18}{\sqrt{25} } }

                               =  2.50

The value of z test statistics is 2.50.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.50) = 1 - P(Z \leq 2.50)

                                             = 1 - 0.9938 = 0.0062

<em />

<em>Now, at 0.01 significance level the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

6 0
3 years ago
Pls help me!!!!!!!!!!!!!
solmaris [256]
The answer is the third option
7 0
3 years ago
What is the rate of the boat in still water and what is the rate of the current?
Alekssandra [29.7K]

Answer: 2mp

Step-by-step explanation: Let "b" represent the speed of the boat in still water

Let "c" represent the speed of the current

Let "t" represent time

Downstream(same direction) =(b+c)*t

Upstream(against current)=(b-c)*t

(b+c)*3=24

(b-c)*4=16

3b+3c=24....all sides can be divided by 3 =b+c=8

4b-4c=16.....all sides can be divided by 4 =b-c=4

Use Elimination method

b+c=8

b-c= 4 Subtracting

=====

2c=4

find c by dividing both sides by 2. c=2

if c=2, substitute to get b

b+2=8

 -2=-2

======

b=6

Speed of boat in still water =6mph

rate of current=2mp

4 0
2 years ago
Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end
Valentin [98]

1. Preparation of   the adjusting entries for

Sears editing ‘company

Sears editing ‘company  Adjusting Entries

a. Dr Insurance expense $1,800

($7,200-$5,400)  

Cr Prepaid insurance  $1,800

(To record insurance expense)

 b. Dr  Supplies expense $1,605

($1980 - $375)

Cr Supplies  $1,605

(To record supplies expense)

c. Dr  Depreciation expense $6,000

Cr Accumulated depreciation-building  $6,000

(To record depreciation expense on building)

d. Dr  Depreciation expense $3,000

Cr Accumulated depreciation-equipment  $3,000

(To record depreciation expense on equipment)  

e. Dr Unearned rent $5,400

($6,750-$1,350)

Cr Rent revenue  $5,400

(To record rent earned from unearned rent)

f. Dr Salaries and wages expense $2,900

Cr Salaries and wages payable  $2,900

(To record salaries and wages expense)  

g. Dr Accounts receivable $18,600

Cr Fees earned  $18,600

(To record accrued revenue)

2. Preparation of  an adjusted trial balance.

Sears editing ‘Company Adjusted Trial balance

Debit side

Cash $7,500

Account Receiveble $57,000

Prepaid Insurance  $5,400

Supplies $375

Land $112,500

Building $150,250

Equipment $135,300

Drawing $15,000

Salaries and wages expense $196,270

Utilities expense $42,375

Advertising expense $22,800

Repair expense $17,250

Depreciation expense-Building $6,000

Depreciation expense-Equipment $3,000

Insurance expense $1,800

Supplies expense $1,605

Miscellaneous expense $6,075

Total Debit side $780,500

Credit side

Accumulated Depreciation-Building  $93,550

Accumulated Depreciation-Equipment $100,950

Account payable $12,150

Unearned rents $1,350

Salaries and wages payable $2,900

Capital stock $221,000

Fees earned $343,200

Rent revenue $5,400

Total Credit side $780,500

Learn more here:brainly.com/question/21304366

4 0
2 years ago
Choose the correct comparison for the numbers below.
Alexandra [31]

Answer:

A

Step-by-step explanation:

In order to compare all three numbers, you must change them all to have the same form, either all decimal form, all fraction, or all percentages.

The easiest ways to compare are decimal and percentage, as they're practically the same thing. For simplicities sake, though, let's turn all the numbers into decimal.

Since 0.85 is already in decimal form, leave it as it is.

3/4 can be turned into a decimal by putting it into a calculator, but intuitively you should know that it's 0.75. If you don't know a fraction intuitively, you just need to make the fraction into a multiple of denominator 100 and take the numerator. For example:

\frac{3}{4} * \frac{25}{25} = \frac{75}{100}

Numerator is 75.0, now simply move the decimal place up to to get the decimal form 0.75.

91% can be changed into a decimal by moving the decimal place left 2 places. 91.0% turns into 0.91.

Now that you can see the numbers, just rearrange them from least to greatest

0.75<0.85<0.91

equal to A

5 0
3 years ago
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