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dsp73
3 years ago
7

Do #4. Find the range. Please explain how you know the answer

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0
In order to find the range of a data set, you need to order the numbers in the set from least to greatest. Ex: 9, 3, 8, 7, 4, 1, 2, 6, 5 = 1, 2, 3, 4, 5, 6, 7, 8, 9 Then you subtract the smallest number in the data set from the largest number. Ex: 9 - 1 = 8. The answer that you get from subtracting is the range of the data set. Hope this helps. 
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Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required
xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

               A = 2 × $3000

               A = $6000

               6000 = 3000e^{0.085t}

               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

               3 = e^{0.085t}

Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln3 = 0.085t

               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

               t = 12.92

5 0
3 years ago
Harriet has 3 crates of watermelons. Each crate alone weighs 15.5 pounds and contains between 32 and 36 watermelons. The weight
Anuta_ua [19.1K]

Answer:no

Step-by-step explanation: Each crate is 15.5 pounds there is only 3 crates therefor 3 crates weighing 15.5 pounds each would only weigh 46.5 pounds all together

4 0
3 years ago
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