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densk [106]
3 years ago
14

Cynthia invests some money in a bank which pays

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

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It will be a 360 degree angle
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Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and tw
Rama09 [41]

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+y=32       Eqn 1

7x+2y=72     Eqn 2

Multiplying Eqn 1 by 2

2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8

Putting x=8 in Eqn 1

3(8)+y=32\\24+y=32\\y=32-24\\y=8

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

4 0
3 years ago
28% of consumers read the ingredients listed on a product's label.
kotegsom [21]

Answer:

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Step-by-step explanation:

We know the proportion of the population, that is π=0.28.

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\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.28*0.72}{256} }= 0.028

The value 64 represents a proportion of p=64/256=0.25, and the value 90 represents p=90/256=0.35.

With these values, we can calculate the z-values.

z_1=\frac{p_1-\pi}{\sigma} =\frac{0.25-0.28}{0.028} =\frac{-0.03}{0.028} =-1.07\\\\z_2=\frac{p_2-\pi}{\sigma} =\frac{0.35-0.28}{0.028} =\frac{0.07}{0.028} =2.5

The probability that between 64 and 90 read the ingredients is:

P=P(64

The probability that between 64 and 90 of them read the ingredients listed on a product's label is 0.82.

7 0
3 years ago
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damaskus [11]

Answer:

a 2 tulips and 3 roses

Step-by-step explanation:

5 goes by 20%

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8 0
3 years ago
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What is (30-260)-2136)-21=
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Answer:

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3 0
3 years ago
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