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nydimaria [60]
3 years ago
13

Diego started a savings account with $120. Every month, he deposits $15 into the account. He wants to know

Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer:

The inequality 15m + 120 ≥ 200 represents the situation.

Step-by-step explanation:

Given that:

Diego started savings account with $120.

Amount deposited each month = $15

Number of months = m

The least balance he wants to have = $200

Amount deposited each month * No. of months + Amount deposited at start ≥ Least amount of balance

15*m + 120 ≥ 200

15m + 120 ≥ 200

Hence,

The inequality 15m + 120 ≥ 200 represents the situation.

You might be interested in
What is the greater faction than 11/20
Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

© 1999-2021 VisualFractions.com. All Rights Reserved.

4 0
3 years ago
4. Write the equation in standard form: y=3/4x – 6
wariber [46]
Y=3x/4-6

doing this is thinking of it in a matter of geometric figure and how you would plot it on a graph and this is the only way it would look write.
7 0
4 years ago
Please help me out quickly!​
VLD [36.1K]

Answer:

imvnuifdv

Step-by-step explanation:

7 0
3 years ago
At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is
Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = \frac{dx}{dt}

ship B is sailing north at 20 km/h =\frac{dy}{dt}

here x and y are the  sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

                 y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find \frac{dz}{dt} at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we |  | get \\

z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h

derivative first equation w . r. to t we get

2z\frac{dz}{dt} =-2(130-x)\frac{dx}{dt}+2y\frac{dy}{dt}

\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]

\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }

     = \frac{1100}{85.44}\\  = 12.87km/h

8 0
3 years ago
You joined an online coupon club. You earned 100 bonus points just by signing up.
Mkey [24]

Answer:

y = 10x + 100

Step-by-step explanation:

The 100 bonus points are guaranteed, no matter if you use the site for 0 months or more. Thus, 100 is the constant, the y-intercept in a graph.

The 10 points you earn for each month is the rate of change, or slope.

The equation is:

y = 10x + 100

where x represents the number of months used, and y is the total points.

As a function, the equation is:

p(x) = 10x + 100

where x is the number of months, and p meaning points.

4 0
3 years ago
Read 2 more answers
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