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Rashid [163]
2 years ago
10

Stacey has earned $9 interest over the past 20 months with an initial investment of $150. What is the simple interest rate she i

s earning? Express your answer to the nearest tenth of a percent. (It wants me to use the formula I=Prt which I don't remember)
Mathematics
1 answer:
Roman55 [17]2 years ago
3 0

Answer:

3.6%

Step-by-step explanation:

We are solving the above question, using the simple interest Formula:

I = PRT

Where

I = Interest = $9

P = Principal = $150

R = Interest rate = ??

T = Time in years = 20 months

We convert this to years

12 months = 1 year

20 months = x

x = 20/12

x = 1.67 years

Hence, making R the subject of the formula

R = I/PT

R = 9/150 × 1.67

R = 9/250.5

R = 0.0359281437

Converting to percentage

R = 0.0359281437 × 100

R = 3.59281437%

R = 3.6 %

The simple interest rate she is earning is 3.6%

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12.4. Measure of Dispersion<br>2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.​
Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 5

Given data  4, 6,8,10,12

Mean = \frac{4+6+8+10+12}{5} = 8

Mean of the sample x⁻ = 8

Standard deviation of the sample

                  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

<u><em>Step(ii)</em></u>:-

Given data

x          :         4      6       8       10      12

x-x⁻      :      4 - 8   6-8   8-8    10-8    12-8

(x-x⁻)   :        -4      -2     0          2        4

(x-x⁻)²  :        16     4       0         4        16  

 

  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

  S.D = \sqrt{\frac{16+4+0+4+16}{4}}

 S.D = √10 = 3.16227

<u><em> Final answer</em></u>:-

The standard deviation = 3.16227

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Answer:

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Step-by-step explanation:

60 x 7.5=450

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