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ruslelena [56]
3 years ago
10

Peter invests £3000 for 2 years in a saving account. He was paid 3% per annum compound interest. How much did Peter have in his

savings account after 2 years?
Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

£3182.7

Step-by-step explanation:

£3000=100%

? =3%

3×3000/100

=£90

£(3000+90)=£3090(1st year)

£3090=100%

? =3%

3×3090/100=£3182.7

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Elimination method 2x -3y=7 3x-2y=13
strojnjashka [21]

Answer:

x = 5 and y = 1 or (5, 1)

Step-by-step explanation:

2x -3y=7

3x-2y=13

Multiply (1st) equation by 3 and (2nd) equation by 2

6x -9y=21

6x-4y=26

----------------subtract

-5y = - 5

y = 1

Substitute y = 1 into 2x -3y=7

2x -3(1)=7

2x - 3 = 7

2x = 10

x = 5

Answer

x = 5 and y = 1 or (5, 1)

7 0
3 years ago
8)An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probabilitythat there is at le
nikdorinn [45]

Answer:

D.) 0.9990

Step-by-step explanation:

Given :

Number of questions = 10

True or False questions ; probability of success, p = 1/2 = 0.5

Using binomial distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of getting atleast one correct answer :

P(x ≥ 1) = p(1) + p(2) +... P(x = 10)

Using a binomial probability calculator :

P(x ≥ 1) = 0.9990

5 0
3 years ago
Help asap show work
katovenus [111]

Answer:  see below

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

17) 5n - 3 > -2n + 4     and    9 - 4n ≥ -2n + 1

   <u> +2n   </u>    <u> +2n      </u>              <u>    +2n </u>   <u>+2n      </u>

   7n - 3   >     4                    9 - 2n  ≥       1

        +3         +3                  -9                 -9

    7n       >      7                       -2n   ≥     -8

  <u> ÷7     </u>    <u>     ÷7  </u>                   <u> ÷ -2 </u>  ↓  <u> ÷ -2 </u>

          n  >     1         and            n   ≤   4                  

Graph:   o----------------- ·

              1                     4

18) 9k - 2 ≤ 9 + 10k < 9 - 4k

     9k - 2 ≤ 9 + 10k      and     9 + 10k < 9 - 4k

  <u> -10k     </u>    <u>     -10k </u>               <u>       +4k </u>   <u>    +4k  </u>

     -k - 2 ≤ 9                             9 + 14k < 9

   <u>      +2</u>   <u>+2         </u>                 <u> -9          </u>  <u>-9         </u>

     -k      ≤  11                                  14k  <  0

 <u> ÷ -1    </u>   ↓<u> ÷ -1  </u>                      <u>       ÷14 </u>    <u>÷14      </u>

          k  ≥ -11                and               k < 0

Graph:    · -----------------o

              -11                  0    

19) 4 - n ≤ 10 + 5n ≤ 6n + 1

     4 - n ≤ 10 + 5n       and     10 + 5n ≤  6n + 1

   <u>    -5n </u>   <u>      -5n  </u>                 <u>      -6n </u>   <u>-6n     </u>

   4 - 6n ≤ 10                           10  -  n  ≤       1    

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        -6n ≤ 6                                    -n ≤   -9

   <u>  ÷ -6   </u>↓ <u>÷ -6     </u>                    <u>    ÷ -1 </u>↓<u> ÷ -1    </u>

           n ≥ -1              and                 n ≥ 9

Graph:    · -----------------→

              -9                  

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     4p - 5 ≤ 2p + 9     and     2p + 9 ≤ 4p + 7

  <u> -2p       </u>   <u>-2p    </u>                 <u> -4p    </u>   <u>-4p      </u>

    2p - 5 ≤         9                -2p + 9  ≤        7    

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       2p  ≤       14                   -2p       ≤      -2

   <u>  ÷ 2   </u>   <u>    ÷ 2     </u>               <u>÷ -2    </u> ↓<u>    ÷ -2    </u>

         p ≤       7          and         p    ≥      1

Graph:    · ----------------- ·

              1                    7

6 0
3 years ago
Neil has 3 partially full cans of white paint. They cantain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain
Marianna [84]

Answer:

1  1/30 gallons, or 31/30 gallons of paint

Step-by-step explanation:

Before these fractions can be added together they have to have a common denominator.  The Least Common Multiple of 2, 3, and 5 is 30, so

1/3 = 10/30   1/5 = 6/30   1/2 = 15/30

10/30 + 6/30 + 15/30 = 31/30, or 1  1/30

6 0
3 years ago
Question 7 of 10<br> What is the solution to this equation
tatyana61 [14]

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

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5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

5 0
3 years ago
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