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Ganezh [65]
2 years ago
13

Answer the following.

Mathematics
2 answers:
Assoli18 [71]2 years ago
5 0

Answer:

40000

Step-by-step explanation:

Simple interest (I) is calculated as

I = \frac{PRT}{100}

P is the amount borrowed , R is the interest and T the time in years

Here I = 2000 , R = 5 and T = 1 with P to be found , then

2000 = \frac{P(5)(1)}{100} ( multiply both sides by 100 )

5P = 200000 ( divide both sides by 5 )

P = 40000

Mazyrski [523]2 years ago
4 0

Answer:

The sum (Principal) is <u>Rs.4000</u>.

Step-by-step explanation:

<u>Given</u> :

  • Simple interest = Rs.2000
  • Time = 5% per annum
  • Time = 1 year

<u>To</u><u> </u><u>Find</u> :

  • Principle

<u>Using</u><u> </u><u>Formula</u> :

\star\small{\underline{ \boxed{\sf{\red{S.I =  \dfrac{P \times R \times T}{100}}}}}}

  • S.I = Simple Interest
  • P = Principle
  • R = Rate
  • T = Time

<u>Solution</u> :

Substituting all the given values in the formula to find the Simple Interest :

{\dashrightarrow{\small{\sf{S.I =  \dfrac{P \times R \times T}{100}}}}}

{\dashrightarrow{\small{\sf{2000=  \dfrac{P \times 5 \times 1}{100}}}}}

{\dashrightarrow{\small{\sf{2000=  \dfrac{P \times 5}{100}}}}}

{\dashrightarrow{\small{\sf{2000=  \dfrac{5P}{100}}}}}

{\dashrightarrow{\small{\sf{P = 2000 \times  \dfrac{100}{5}}}}}

{\dashrightarrow{\small{\sf{P = 2000 \times  \cancel{\dfrac{100}{5}}}}}}

{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}

{\dashrightarrow{\small{\sf{P =Rs.40000}}}}

\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}

Hence, the sum Bharat borrowed is Rs.40000.

\rule{190}1<u />

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What is the value of n in the diagram below?
IRINA_888 [86]

Answer:

n = 24

Step-by-step explanation:

(n + 18) and 2n are "complementary angles:"  they add up to 90°.

Thus, n + 18 + 2n = 90.  Combining the n terms results in 3n + 18 = 90.

Then 3n = 72.  Dividing both sides by 3 results in n = 24.

n is 24, so n + 18 is 42 and 2n is 48.  Note that 42 and 48 add up to 90.

5 0
3 years ago
Need help pls<br>thank you in advance ​
ira [324]

Answer:

<h3><u>Mean</u></h3>

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10

\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10

<h3><u>Standard Deviation</u></h3>

\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

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2 years ago
If 400ml is used for 8 pancakes how much is used for 6
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4 0
3 years ago
Read 2 more answers
Please help with question 2, I’m too tired to think right now, and it’s for my little sister and it’s due tomorrow! Ignore the n
marishachu [46]

Answer:

2000 L

Step-by-step explanation:

There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?

The simple solution is:

1250 L ÷ 0.625 = 2000 L

The algebraic solution is:

Let <em>c</em> equal the capacity of the tank.

Therefore, <em>c</em> × 0.625 = 1250.

Divide both sides by 0.625:

<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

<em>c</em> = 1250 ÷ 0.625

<em>c</em> = 2000

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3 years ago
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Basile [38]

Answer:

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Step-by-step explanation:

The "point-slope" form of the equation of a straight line is:

y − y₁ = m(x − x₁)

where m is the slope and (x₁, y₁) is a point on the line.

If m = ⅕ and (x₁, y₁) = (-7,  - 4), the point-slope equation is

y + 4 = ⅕(x + 7)

The Figure below shows the graph of your line and a point at (-7, -4).

6 0
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