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yKpoI14uk [10]
3 years ago
11

During a 14-day period, there is the following activity on your bank account. You deposit $100, withdraw $75, deposit $85, and w

ithdraw $150. What is the rate of change in dollars per day) in your bank account? Round your answer to the nearest cent.
Mathematics
1 answer:
fredd [130]3 years ago
6 0
The balance changes by:
$100 - $75 + $85 - $150 in a month
-$40 / month

-$(40 * 12) / year

-$(40*12 / 365.25) /day

-$1.314 per day

-$1.31 per day to nearest cent.
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-12x + 18y = 21<br>(6x -9 = -9​
Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

6 x = 0

Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

4 0
3 years ago
I need help with this question about similar triangles
Colt1911 [192]

Answer:

ST = 12 units

Step-by-step explanation:

Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus

\frac{ST}{SR} = \frac{TE}{AR} substitute values

\frac{ST}{21-ST} = \frac{8}{6} ( cross- multiply )

6ST = 8(21 - ST)

6ST = 168 - 8ST ( add 8ST to both sides )

14ST = 168 ( divide both sides by 14 )

ST = 12

6 0
3 years ago
Solve for x: x^2 + 14x + 49
Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49ײ

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0
3 years ago
Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.
Brums [2.3K]

Answer:

Step-by-step explanation:

Yes

8 0
3 years ago
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The table shows the results of a survey on the number of text messages per month for people of different ages. Based on this sur
Rzqust [24]

Answer:C

Step-by-step explanation:I took the test got a

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3 years ago
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