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3 years ago

Which of the following expressions represents the distance between-1/4 and 3/4

Mathematics

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

|-1/4 - 3/4|

Step-by-step explanation:

To get the distance, take the absolute value of the second point minus the first point

| 3/4 - - 1/4|

|3/4 + 1/4|

We can also take the absolute value of the first point minus the second point

|-1/4 - 3/4|

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If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?

Evgesh-ka [11]

Answer:

<h2> $\boxed{18 \: dollars}$ </h2>

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = $\mathsf {\frac{PTR}{100} }$

$\mathsf{ = \frac{300 \times 2 \times 3}{100} }$

$\mathsf{ = \frac{1800}{100} }$

$\mathsf{ = 18}$

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

$\mathsf{ \: simple \: interest \: = \frac{PTR}{100} }$

On simplifying

$\mathsf{p = \frac{I \times 100}{T \times R} }$

$\mathsf{t = \frac{I \times 100}{P \times R} }$

$\mathsf{r = \frac{I \times 100}{P \times T}}$

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

4 0

3 years ago

Read 2 more answers

What two kinds of exponents are not allowed to be in a polynomial?

Gekata [30.6K]

Answer:

The short answer is that polynomials cannot contain the following: division by a variable, negative exponents, fractional exponents, or radicals.

Step-by-step explanation:

The short answer is that polynomials cannot contain the following: division by a variable, negative exponents, fractional exponents, or radicals.

7 0

3 years ago

What is the image of the point (-8,0) after a rotation of 270° counterclockwise

IceJOKER [234]

Answer:

(0, 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(- 8, 0 ) → (0, 8 )

7 0

3 years ago

Read 2 more answers

Find the radius of each figure. round to the nearest tenth.

k0ka [10]

Answer:

8.25475 m

Step-by-step explanation:

pi*r^3 is the formula for a sphere.

Using this, pi is a nmber (about 3.14) and we only don't know the radius, but we know what it equals.

pi*r^3=1,767.1

First divide by pi, then get ride of the cube by cube rooting both sides.

The cube root of 1767.1/pi (remember to cube root both denominator and numberator!!!) is about 8.25475 m

6 0

3 years ago

A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat

aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15 Eqn 1

20x+12.50y=270 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30$

Dividing both sides by 7.5

$\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4$

Putting y=4 in Eqn 1

$x+4=15\\x=15-4\\x=11$

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago