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2 years ago

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 Rs.4000.

Step-by-step explanation:

Given :

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

To Find :

Principle

Using Formula :

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

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

Solution :

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.

$\rule{190}1$

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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.

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3 years ago

Need help pls thank you in advance

ira [324]

Answer:

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

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

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

<h3>Standard Deviation</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>Summary</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 mean scores are the same.

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

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2 years ago

If 400ml is used for 8 pancakes how much is used for 6

UNO [17]

300 ml is used for 6 pancakes.

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 c equal the capacity of the tank.

Therefore, c × 0.625 = 1250.

Divide both sides by 0.625:

c × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

c = 1250 ÷ 0.625

c = 2000

5 0

3 years ago

Find a point-slope form for the line with slope 1/5 and passing through the point (-7,-4).

Basile [38]

Answer:

y + 4 = ⅕(x + 7)

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).

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