2 x (-8) X (-7) 1-5) =

Anastaziya [24]

Answer:

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.

Step-by-step explanation:

The question in English is

Plan: "MY AUTO FOR TAXI"

Mr. Alberto decides to buy a car in order to perform taxi services. The price of the vehicle is S/45 000, but only S/20 000 is available. He then decides to finance the missing money through a bank. If between the two loan plans offered, you must choose one:

Which of the two options would you recommend to Mr. Alberto?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the total amount due

P is the amount owed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

Plan I

$t=2\ years\\ P=\$45,000-\$20,000=\$25,000\\ r=0.05\\n=1$

substitute in the formula

$A=25,000(1+\frac{0.05}{1})^{1*2}$

$A=25,000(1.05)^{2}$

$A=\$27,562.50$

Plan II

$t=3\ years\\P=\$45,000-\$20,000=\$25,000\\ r=0.03\\n=1$

$A=25,000(1+\frac{0.03}{1})^{1*3}$

$A=25,000(1.03)^{3}$

$A=\$27,318.18$

Compare

Plan I ----> t=2 years A=$27,562.50

Plan II----> t=3 years A=$27,318.18

therefore

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.

6 0

3 years ago

Lee las situaciones y realiza lo siguiente con cada una:

Julli [10]

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

The question in English is

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=840\ pages\\x=30\ minutes$

substitute

$k=\frac{840}{30}=28\ pages/minute$

The linear equation is

$y=28x$

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=2\ floors\\x=6\ seconds$

substitute

$k=\frac{2}{6}=\frac{1}{3}\ floors/second$

The linear equation is

$y=\frac{1}{3}x$

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$480\\x=12\ days$

substitute

$k=\frac{480}{12}=\$40\ per\ day$

The linear equation is

$y=40x$

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$35\\x=10\ kg$

substitute

$k=\frac{35}{10}=\$3.5\ per\ kg$

The linear equation is

$y=3.5x$

6 0

3 years ago

Write an equation in slope intercept form that passes through -2, 3 and Is parallel to the line with equation 3X +2y=6

soldier1979 [14.2K]

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Step-by-step explanation:

Given

(-2,3)

Equation of line => 3x+2y=6

Converting the equation in slope intercept form

$3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3$

The co-efiicient of x is the slope of the fiven line

So,

m=-3/2

The line parallel to given line will have the same slope as slopes of two parallel lines are equal

Now,

Slope-intercept form is:

$y=mx+b$

Putting the value of slope

$y=-\frac{3}{2}x+b$

to find the value of b, put (-2,3) in the equation

$3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\$

Putting the value of b and m

$y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x$

Hence,

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Keywords: Slope-intercept form, Slope

Learn more about slope-intercept form at:

#LearnwithBrainly

4 0

3 years ago

Simplify 81 100 nswer

Gnesinka [82]

81
100
that is the answer

4 0

3 years ago

Which equation represents a line which is perpendicular to the y-axis?

snow_lady [41]

The answer will be Y= x - 4

7 0

3 years ago

Read 2 more answers

2 x (-8) X (-7) 1-5) =​

2 x (-8) X (-7) 1-5) =