Ask question

Ask question

All categories

3 years ago

7

Michael and Hema are both trying to save money. Micheal starts with $55 and is saving $20 per week. Hema has $40 and is saving $

20 per week. After how many weeks will they each have exactly the same amount of money in their account

1 answer:

Whitepunk [10]3 years ago

4 0

If Michael starts with 55 and saves 20 per week. and hema starts with 40 ans saves 20 per week. they'll never have the exact same amount.

You might be interested in

Which graph represents the system of inequalities? <br> {3x+5y≤10x<br> −y<−1

Anettt [7]

Answer:

The system of inequalities:

$3x+5y\leq 10$ .......[1]

$x-y$ .......[2]

First graph each inequality:

The graph of x-y<-1 is dashed and is not included in the graph of the solution as shown below in the Figure 1.

The intercept for the graph is the point where the graph crosses the axis

x-intercept of a graph is the point where the graph crosses the x-axis i.e, plug in 0 for y and solve for x.

y-intercept of a graph is the point where the graph crosses the y -axis i.e,

plug in 0 for x and solve for y.

The related equation for the inequalities [2] is;

x-y =-1

for x =0,

0-y=-1

⇒ y =1

Then, the y-intercept is (0, 1).

To find the x-intercept;

Put y =0 in above related equation;

x-0 =-1

x=-1

Therefore, the x-intercept is (-1, 0)

Also,

The graph $3x+5y\leq 10$ is solid and is included in the graph of the solution as shown below in Figure 2.

The related equation for the inequalities [1] is;

3x+5y =10

for x =0,

0+5y=10 or

5y=10 [divide by 5 both sides]

⇒ y =2

Then, the y-intercept is (0, 2).

To find the x-intercept;

Put y =0 in above related equation;

3x+ 0=10

3x= 10 [divide by 3 both sides ]

⇒ x =3.33..

Therefore, the x-intercept is (3.333, 0).

The solution of the system is the set of ordered pairs in the intersection of the graphs of $3x+5y\leq 10$ and $x-y$ .

So, the solution region is the darkest of the shaded area in the graph below in Figure-3.

Therefore, the only option D is correct.

4 0

3 years ago

Read 2 more answers

Please help. And please explain. Thanks so much.

Wittaler [7]

Answer: 1. 1344

2. 25

3. 0.8

4. 292

Step-by-step explanation:

For 1 and 4 multiply the lengths by 8.

For 2 and 3 divide by 8.

6 0

3 years ago

on January 1,1980 a city had 100,000 people. During the year 1,000 people died, 2,000 babies were born, 3,000 people moved out,

svp [43]

Answer:

By the end of 1980 there are 112,000 people in the city.

Step-by-step explanation:

Total number of people on January 1, 1980 = 100,000 people

Number of people died during the year = 1,000

So, during the year number of people alive

= Total people - Number of people who died

= 100,000 people - 1,000 people = 99,000 people

Now, number of babies born during the year = 3,000

So, during the year number of people alive

= Total people left + Number of babies born

= 99,000 people + 3,000 babies = 102,000 people

Number of people who move in during the year = 10,000

So, at the end of the year number of people in the country

= Total people present + Number of people who moved in

= 102,000 people + 10,000

= 112,000 people

or, the number of people present in the country = 112,000

Hence, by the end of 1980 there are 112,000 people in the city.

6 0

4 years ago

Approximately 32,400 citizens of a country died in automobile accidents in 2015 express this toll in deaths per day round to the

Naya [18.7K]

The year 2015 is a common year, with 365 days in total.
and deaths per day would be using death per year divide by 365 days. thus, we can get 32,400/365=88.767
to the whole number: 89

5 0

3 years ago

Solve 3^x=5. What are the exact and approximate solutions?

Gala2k [10]

Answer:

The answer is

<h2>1.46</h2>

Step-by-step explanation:

${3}^{x} = 5$

Take logarithm of both sides of the equation

That's

$log(3)^{x} = log(5)$

Using the rules of logarithms

$log(3)^{x} = x log(3)$

So we have

$xlog(3) = log(5)$

Divide both sides by log 3

We have

$x = \frac{ log(5) }{ log(3) }$

We have the final answer as

1.46497

which is

1.46 to 2 decimal places

Hope this helps you

8 0

3 years ago