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UkoKoshka [18]
3 years ago
5

A sum of money is deposited at 7% per annum simple interest . If the yield after 3 years is $7744 , find the original sum of mon

ey
Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

6117.76

Step-by-step explanation:

hello rausha let's see the explanation step by step-

first we know the simple interest of money per annually is 7%

so the interest of the money in 3 years must be 21%

now we will takeout 21% of 7744 = 1626.24

this means the interest gained is 1626.24

to takeout original sum of money we will subtract the interest from $7744 ( 1626.24 - 7744) = 6117.76

so the original sum of money which was deposited was 6117.76 .

hope this answer helped you

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I need help on this saturday guys
Anna71 [15]

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - the point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, 4) and (2, -2). Substitute:

m=\dfrac{-2-4}{2-5}=\dfrac{-6}{-3}=2

y-4=2(x-5) - <em>point-slope form</em>

y-4=2x-10        <em>add 4 to both sides</em>

y=2x-6  - <em>slope-intercept form</em>

y=2x-6      <em>subtract 2x from both sides</em>

-2x+y=-6      <em>change the signs</em>

2x-y=6   - <em>standard form</em>

-------------------------------------------------------------------

From the table we have two points (1, 3) and (2, 7). SubstituteL

m=\dfrac{7-3}{2-1}=\dfrac{4}{1}=4

y-3=4(x-1)   - <em>point-slope form</em>

y-3=4x-4     <em>add 3 to both sides</em>

y=4x-1    - <em>slope-intercept form</em>

y=4x-1      <em>subtract 4x from both sides</em>

-4x+y=-1     <em>change the signs</em>

4x-y=1    - <em>standard form</em>

6 0
3 years ago
A man wins in a gambling game if he gets two heads in five flips of a biased coin. the probability of getting a head with the co
Semenov [28]

The probability the man will win will be 13.23%. And the probability of winning if he wins by getting at least four heads in five flips will be 36.01%.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ⁻ˣ⁾

A man wins in a gambling game if he gets two heads in five flips of a biased coin. the probability of getting a head with the coin is 0.7.

Then we have

p = 0.7

n = 5

Then the probability the man will win will be

P(X = 2) = ⁵C₂ (0.7)² (1 - 0.7)⁽⁵⁻²⁾

P(X = 2) = 10 x 0.49 x 0.027

P(X = 2) = 0.1323

P(X = 2) = 13.23%

Then the probability of winning if he wins by getting at least four heads in five flips will be

P(X = 4) = ⁵C₄ (0.7)⁴ (1 - 0.7)⁽⁵⁻⁴⁾

P(X = 4) = 5 x 0.2401 x 0.3

P(X = 4) = 0.3601

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Learn more about binomial distribution here:

brainly.com/question/13609688

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2 years ago
Ava's birthday cake is about 11 7/10 cm long. her candles stick up from the cake an additional 5 4/10 cm. what was the total hig
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Total height of the cake and the candles is 17.1 cm

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  • Step 2: Find total height of the cake and the candles

Total height = 11.7 + 5.4 = 17.1 cm

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4 years ago
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Answer: 117

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3 years ago
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(+2) + (-2) = 0
FromTheMoon [43]

Hi there !!

The sum of two numbers is the number obtained by adding two given numbers. However, the opposite numbers are two numbers whose sum is equal to 0.

Example : (+3) + (-3) = 0

The answer is :

(+2) + (-2) = 0 because (-2) is the additive inverse of (+2).

• It was nice to help you, Jrlorena!

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3 years ago
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