Parallelogram DEFG is graphed on the coordinate plane. It has coordinates D(4, 1), E(10, -3), F(p, -4), and G(-5, q).

Shirley has a credit card that uses the previous balance method. The opening

vesna_86 [32]

Answer:

= $44.19

Step-by-step explanation:

APR = 19%

Billing cycle = 30 days

Balance = $2830

Let's first find the daily rate,

Daily rate = $\frac{0.19}{365} = 0.000521$

The daily rate = 0.000521

To calculate the amount Shirley was charged interest for the billing cycle, we use:

Daily rate * billing cycle * balance

Where,

Daily rate

= $\frac{0.19}{365}$

Billing cycle = 30 days

Balance = $2830

Therefore, expression to be used =

$(\frac{0.19}{365} * 30) * 2830 \\= $44.19$

8 0

3 years ago

Read 2 more answers

Write an equation to find the total number of hours h the instructor exercises in any number of weeks w

shusha [124]

Have a pic of the problem?

3 0

2 years ago

A pine tree measured 40½ feet tall. Over the next 7½ years, it grew to a height of 57 feet. During the 7½ years, what was the av

Anit [1.1K]

I got 2.2 feet each year

6 0

3 years ago

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$

Hence The equation would be $4x-15=21$ .

On Solving we get;

Adding both side by 15 we get;

$4x-15+15=21+15\\\\4x=36$

Dividing both side by 4 we get;

$\frac{3x}{4}=\frac{36}{4}\\\\x=9$

Hence Nicholas has = 9 video games

Robert has = $x-5= 9-5=4$ video games

Charlie has = $2x-10 = 2\times9-10=18-10=8$ video games

5 0

3 years ago

Read 2 more answers

Okay that it 5^4x-13=125

Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

1

Simplify —

5

Equation at the end of step

1

:

1

(((—)4) • x) - 13) - 125 = 0

5

STEP

2

:

Equation at the end of step

2

:

1

((—— • x) - 13) - 125 = 0

54

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

13 13 • 625

13 = —— = ————————

1 625

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625) x - 8125

—————————————— = ————————

625 625

Equation at the end of step

3

:

(x - 8125)

—————————— - 125 = 0

625

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

125 125 • 625

125 = ——— = —————————

1 625

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(x-8125) - (125 • 625) x - 86250

—————————————————————— = —————————

625 625

Equation at the end of step

4

:

x - 86250

————————— = 0

625

STEP

5

:

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-86250

——————— • 625 = 0 • 625

625

Now, on the left hand side, the 625 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-86250 = 0

Solving a Single Variable Equation:

5.2 Solve : x-86250 = 0

Add 86250 to both sides of the equation :

x = 86250

One solution was found :

x = 86250

7 0

2 years ago