PLS HELP WITH ASAP PLS

Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate

Tom [10]

Answer:

$\$60\ per\ hour$

Step-by-step explanation:

we know that

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

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of hours worked

y ----> the amount paid in dollars

In this problem we have a proportional variation, between two variables, x, and y

<em>Find out the constant of proportionality k</em>

For (5,300) -----> $k=y/x$ ----> $k=300/5=60\ \$/h$

For (4,240) -----> $k=y/x$ ----> $k=240/4=60\ \$/h$

For (6,360) -----> $k=y/x$ ----> $k=360/6=60\ \$/h$

The constant k is

$k=60\ \$/h$

The equation is equal to

$y=60x$

The unit rate of change of dollars with respect to time is equal to the constant of proportionality or slope of the linear equation

therefore

$\$60\ per\ hour$

3 0

3 years ago

an office supply company is shipping a case of wooden pencils. there are 64 boxes of pencils in the case. if each box of pencils

Levart [38]

<span>64 boxes of pencils per case x 2.5 ounces per box ÷16 ounces per pound = pounds per case</span>

3 0

2 years ago

Read 2 more answers

After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points

Nataliya [291]

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

$Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100$

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

$Percent \; error = \frac {67 - 70 }{ 70} *100$

$Percent \; error = \frac {3}{70} *100$

$Percent \; error = 0.04286 *100$

Percent error = 4.29%

4 0

2 years ago

The relationship between sets of rational numbers is pictured below

REY [17]

The correct answer is G. Integers include whole numbers and natural numbers.

Explanation:

The graph presented shows the relationship between different sets of numbers. In this graph, the second most general category is integers, and this covers or includes two smaller categories which are whole numbers and natural numbers. This means the whole and natural numbers are part of integers.

Indeed, integers include numbers such as 10, 256, or -6 because these can be expressed without using fractions or decimals. Also, this category includes whole or non-decimal numbers, as well as natural numbers, which are positive whole numbers such as 36 or 1546. According to this, the correct answer is G.

6 0

3 years ago

c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e

castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

$A=Pe^{rt}$ , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A= $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

$257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428$

Taking natural log on both the sides , we get

$15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%$

Hence, the annual interest rate = 13.29%

6 0

3 years ago