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choli [55]
3 years ago
5

Why is nobody helping me?? please help

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
The probability is 6/9 or 66.6%
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Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever
Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

S_{1}(n) = 500 + 10n

The second option is to put $100 away initially and save $30 every month, so:

S_{2}(n) = 100 + 30n

After how many months would Tina save the same amount using either option?

It will happen at the month n in which S_{1}(n) = S_{2}(n), so:

S_{1}(n) = S_{2}(n)

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

n = \frac{400}{20}

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose S_{1}(20) or S_{2}(20), since they are equal

S_{1}(20) = 500 + 10(20) = 500 + 200 = 700

With either option, Tina would save $700.

3 0
3 years ago
There are 25 classes participating in Field Day. Each activity lasts 10 minutes. if field day starts at 9 am what time will all
melamori03 [73]
................................ the answer is 1500
7 0
3 years ago
Plz hurry
Delicious77 [7]

Answer:

me too jaja

Step-by-step explanation:

8 0
3 years ago
3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
sweet-ann [11.9K]

9514 1404 393

Answer:

  1. x ≤ 4
  2. x > 10
  3. x ≤ -7

Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

  3x ≤ 12 . . . . . subtract 2

  x ≤ 4 . . . . . . . divide by 3

__

2. -5 +2x > 15

  2x > 20 . . . . . . add 5

  x > 10 . . . . . . . . divide by 2

__

3. -2x +4 ≥ 18

  4 ≥ 18 +2x . . . . . add 2x

  -14 ≥ 2x . . . . . . . subtract 18

  -7 ≥ x . . . . . . . . . divide by 2

_____

<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

5 0
3 years ago
Read 2 more answers
A rectangular garden originally measured 5 feet by 10 feet as shown below.a path was created by increasing each side of the orig
kotegsom [21]
The area is given by
 A = (5 + 2x) * (10 + 2x) - 50
 Rewriting we have:
 A = 50 + 10x + 20x + 4x ^ 2 -50
 Rewriting we have:
 A = 4x ^ 2 + 30x
 Substituting the value of the area we have:
 54 = 4x ^ 2 + 30x
 Rewriting:
 4x ^ 2 + 30x - 54 = 0
 We look for the roots:
 x1 = -9
 x2 = 3/2
 We take the positive root:
 x2 = 3/2
 Answer:
 
the value of x is:
 
x = 3/2
3 0
3 years ago
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