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Alenkasestr [34]
2 years ago
13

65. If the diameter of the sphere is halved, what will be the difference in volume?

Mathematics
1 answer:
Murrr4er [49]2 years ago
7 0

Answer:

Hi there !

  • A. 1/8 of the original volume
  • 24 is the mode

<h2>Step-by-step explanation:</h2>

<h3>Question 1 :-</h3>

LET RADIUS OF SPHERE= R

VOLUME OF SPHERE= ( \frac{4}{3})\pi \:  {r}^{3}

WHEN RADIUS IS HALVED RADIUS IF SPHERE=R/2

VOLUME= ( \frac{4}{3} )\pi( \frac{r}{2})^{3} = {(4/3)πR^3}/8

THE VOLUME WILL BECOME 1/8 TH OF THE ORIGINAL VOLUME.

<h2>Question 2 :-</h2>

Wehave,

Mode+2×Mean=3×Median

⇒Mode=3×Median−2×Mean

Given : Mean=21 and Median=22

Putting the given values, we get

Mode=3×22−2×21=66−42=24.

Hope it helps u....

Stay safe, stay healthy and blessed

Have a great day !

Thank you

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Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, co
sineoko [7]

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Step-by-step explanation:

The given is,

               Initial investment - $5000

               Future amount - $6000

               Interest rate - 7.5% (compounded quarterly)

Step:1

           Formula to calculate the Future amount with compound interest,

                                   F = P(1+\frac{r}{n} )^{nt}...................................(1)

          Where, F - Future amount

                           P - Initial amount

                            r - Rate of interest

                           n - No. of compounding in a year

                            t - Time period

          From given,

                      F = $6000

                      P = $5000

                       r = 7.5%

                       n = 4 (compounded quarterly)

        Equation (1) becomes,

                              6000=5000(1+\frac{0.075}{4} )^{(t)(4)}

                               \frac{6000}{5000} =(1+0.01875)^{4t}

                                 1.2 = (1.01875)^{4t}

         Take log on both sides,

                            log 1.2 = 4(t) log 1.01875

         Substitute log values,

                       0.07918 = 4(t) (0.0080676)

                                      = (t) (0.0322705)

                                   t = \frac{0.07918}{0.0322705}

                                      = 2.45

                                   t ≅ 2.5 years

Result:

         2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

3 0
3 years ago
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The anwser is 526  because u have 5 hundreds and u have 6 ten thousands 2 ones  

8 0
3 years ago
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Stan started soccer practice at 6:00 pm. Practice lasted for 1 hour and 55 minutes. What time was practice over?
borishaifa [10]
B. 07:55 pm
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Remember to explain your answer to receive full credit.
Sidana [21]

Answer:

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Victoria’s printer can print 8.804 in one minute if Victoria’s prints page for 0.903 minutes, about how many pages will she have
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Victoria’s printer can print 8.804 in one minute if Victoria’s prints page for 0.903 minutes,

We apply unitary method

In one minute the number of pages printed is 8.804. we need to find the number of pages for 0.903 minutes

1 minute = 8.804 pages

0.903 minutes = ? pages

We multiply 8.804 by 0.903

8.804 * 0.903 = 7.95

Number of pages printed = 7.95 pages


8 0
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