MATHEMATICS HIGH SCHOOL

Ramon earns $1,715 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer 1

Answer:

Percent of earnings spent on electricity each month is 3.1 %

Solution:

Given that Ramon earns $1,715 each month and pays $53.40 on electricity

To find: Percent of earnings spent on electricity each month

From given information,

Ramon's monthly salary = $ 1715

Electricity Rent = $ 53.40

Finding percentage of earnings spent on electricity:

Percent of earnings spent on electricity = $\frac{\text{ electricity rent}}{\text{ monthly salary}} * 100$

Substituting the values we get,

$\rightarrow (53.40)/(1715) * 100\n\n\rightarrow 0.031137 * 100 = 3.113 \approx 3.1$

Thus Percent of earnings spent on electricity each month is 3.1 %

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Which of the following is equivalent to the expression below?(3) (4) (-3/4)A. -12(-3/4)B. -13(3/4)C. -12- 3/4D. -12 + 3/4
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a recipe that makes 12 muffins calls for 2 1/2 cups of flour. how much flour is needed to make 18 muffins

Use a distributive property to write an equivalent expression.
8x + 5x

Answers

Answer:

2x+10x

Step-by-step explanation:

its basically just asking to re-write it by moving the numbers around :))

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?a) 1/18
b) 18/121
c) 15/22
d) 22/131

Answers

Probability of picking a yellow marble = no of yellow marbles/total number of mables = 6/(4 + 12 + 6) = 6/22 = 3/11
Probability of picking a blue marble = 12/22 = 6/11

Probability of picking a yellow marble and a blue marble = 3/11 x 6/11 = 18/121

Ahmad drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8
hours. When Ahmad drove home, there was no traffic and the trip only took
5
hours. If his average rate was
21
miles per hour faster on the trip home, how far away does Ahmad live from the mountains?
Do not do any rounding.

Answers

55 miles from the mountains

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Answers

Answer:

$y=12,000*(0.88)^x$

Step-by-step explanation:

Please find the attachment.

We have been given that Jason estimates that his car loses 12% of its value every year. The initial value is $12,000.

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

An exponential decay function is in form: $y=a*(1-r)^x$ , where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert our given rate in decimal form.

$12\%=(12)/(100)=0.12$

Upon substituting our given values in decay function we will get,

$y=12,000*(1-0.12)^x$

$y=12,000*(0.88)^x$

We can see from our graph that as x approaches infinity, y approaches to zero, therefore, our graph will have a horizontal asymptote at y=0.

Therefore, the function $y=12,000*(0.88)^x$ represents the value of the car after x years.

ANSWER:

y= 12000*(0.88)x

Step-by-step explanation:

We have been given that Jason estimates that his car loses 12% o

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

Two lines, A and B, are represented by the following equations:Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.

Answers

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

4x + 4y = 16
x + y = 4 /*(-4)
___________________
4x + 4y = 16
-4x - 4y = - 16
___________________
0 = 0

The correct result would be: There are infinitely many solutions.

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?

Answers

Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years

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