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Zinaida [17]
3 years ago
10

How much interest (in dollars) will Alex receive after 2 years if he deposited $14,000 in the bank at 3.5% annual interest rate?

Davit received $870 as an interest for money invested in Foreign Exchange Market three years ago. How much money did he invest, if the annual interest was 4%. For starting a new business, Arthur borrowed $23000 and calculated $3450 interest for five years. What annual interest was considered?
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:

a) Interest = $980

b) Principal = $7250

c) Interest rate = 3%

Step-by-step explanation:

a) For Alex

How much interest (in dollars) will Alex receive after 2 years if he deposited $14,000 in the bank at 3.5% annual interest rate?

The formula for Simple Interest = PRT

Where

P = Principal = $14,000

R = Interest rate = 3.5% = 0.035

T = Time = 2 years

I = $14,000 × 0.035 × 2

I = $980

b) For Davit

Davit received $870 as an interest for money invested in Foreign Exchange Market three years ago. How much money did he invest, if the annual interest was 4%

The formula for Simple Interest = PRT

Where

P = Principal = ?

R = Interest rate = 4% = 0.04

I = $870

T = 3 years

years

Solving for P

P = I/RT

P = $870/0.04 × 3

P = $870/0.12

P = $7250

c) For Arthur

. For starting a new business, Arthur borrowed $23000 and calculated $3450 interest for five years. What annual interest was considered?

The formula for Simple Interest = PRT

Where

P = Principal = $23,000

R = Interest rate = ?

I = $3450

T = 5 years

years

We are Solving for R

R = I/PT

R = $3450/$23,000× 5

R = 3450/115000

R = 0.03

Converting to percentage

= 0.03 × 100

= 3%

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Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

  • If p-value is equal to or less than the significance level, then we reject the null hypothesis
  • If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

7 0
4 years ago
Ralph’s annual income is about $32,000. Based on his expenses illustrated in the graph below, roughly how much should Ralph expe
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Answer:

Therefore the width is 25 feet for getting maximum area.

The maximum area of the rectangle is 625 square feet.

Therefore the range is 0≤A≤625.

Step-by-step explanation:

Given function is

A = - x²+50x

We know that ,

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For the maximum x=-\frac{b}{2a}

Here a = -1 , b= 50 and c=0

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The maximum area =[ -(25)²+50.25] square feet

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The area can not be negative and maximum area is 625 square feet.

Therefore the range is 0≤A≤625.

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Answer:

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