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ipn [44]
3 years ago
13

If you have a balance of $270 in your bank account each month you deposit $45 let January=1 February=2 and so on. Write any equa

tion for the situation using equation to find the balance in June
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

$540

Step-by-step explanation:

We are given that the initial balance in the bank account is $270.

We are then told that every month $45 is added to the account.

To find the equation that tells us the balance at any point in time assuming no interest is added or money is taken out, we can first understand the constant, y=270.

This gives us the initial value of the balance and any changes to the balance will start from this point.

Let x be the time in months.

if we let y=270 + 45x, we find the value of the function accounting for the addition of money every month.

Assuming money is put in during January; substituting the number of months as x=6 (since it is June), we can find the balance in June.

y=270 +45(6)=540

Hence, the balance in June is $540

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What is the solution to the system of equations?
alukav5142 [94]

Answer:

  (x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

  (3x +y) -(2x +y) = (3) -(7)

  x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

  2(-4) +y = 7

  y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

6 0
3 years ago
What is the value of x?
Oduvanchick [21]

Answer:

x = 19

Step-by-step explanation:

Vertical angles are equal

So

7x - 8 = 6x + 11

7x - 6x = 11 + 8

x = 19

7 0
3 years ago
A small town's phone numbers either begin 373 or 377. How many phone numbers are available?
ser-zykov [4K]

Answer:

  • <u><em>There are 20,000 number available.</em></u>

Explanation:

To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0
3 years ago
Mario was given some birthday
Len [333]

The answer would be option B "he was given $50 for his birthday."


Here is how:


Y=

^

Y equals the amount of money in the account.

75$+50$=

75x represents the amount of money he DEPOSITS which is in the question.

So if he deposits 75$ a week (which represents X) and he adds 50$ to it which means he has 50$ to begin with which means he got 50$ for his birthday.


Also....


Because 75x already represents X therefore it wouldn't be options A, C or D.


Hope this helps!

4 0
3 years ago
30% of what number is 9?<br>​
natali 33 [55]

Answer:

30

Step-by-step explanation:

6 0
3 years ago
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