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bagirrra123 [75]
2 years ago
13

Tashia paid two months rent and a $500 security deposit when she signed her lease. In total, she paid $2,400.

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

The equation that represents the scenario is  2x + 500 = 2400

The cost of one month rent is $950

She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.

let

the cost of a month rent = x

Therefore,

<h3>Total cost Equation</h3>
  • 2x + 500 = 2400

The cost of the one month rent can be calculated as follows:

  • 2x + 500 = 2400
  • 2x = 2400 - 500
  • 2x = 1900
  • x = 1900 / 2
  • x = $950

Therefore, the equation that represent the scenario and cost of one month rent are as follows;

  • 2x + 500 = 2400
  • cost of one month rent = $950

learn more on equation here: brainly.com/question/8057577

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The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.
laiz [17]

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

8 0
3 years ago
If a1=6 and an=2an-1 then find the value of a4
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The absolute value be pie or square because Pio screwed because the circumference is alsoHope this helps
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3 years ago
Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu
kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

f(x) =  {x}^{5}  -  {x}^{3}  + 6

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

f'(x) = 5 {x}^{4} - 3 {x}^{2}

At turning point f'(x)=0.

5 {x}^{4} - 3 {x}^{2}  = 0

This implies that,

{x}^{2} (5 {x}^{2}  - 3) = 0

{x}^{2}  = 0 \: or \: 5 {x}^{2}  - 3 = 0

x =  - \frac{ \sqrt{15} }{5}   \: or \: x = 0 \:  \: or \: x =\frac{ \sqrt{15} }{5}

We plug this values into the original function to obtain the y-values of the turning points

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  +750)) \:and \:  (0, - 6) \: and\: (   \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( - 6 \sqrt{15}  +750))

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

f''(x) = 20 {x}^{3}  - 6x

f''( -  \frac{ \sqrt{15} }{5} ) \:   <  \: 0

Hence

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  + 750))

is a maximum point.

f''( \frac{ \sqrt{15} }{5} ) \:    >  \: 0

Hence

(     \frac{ \sqrt{15} }{5}  , \frac{1}{125} (- 6 \sqrt{15}  + 750))

is a minimum point.

f''(0) \: =\: 0

Hence (0,-6) is a point of inflexion

4 0
3 years ago
50 pts + Brainliest Please help <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="462b2306">[email&#160;p
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The radius of the cylinder's base is 8, so the volume of the cylinder is \pi8^218\approx3617.28 (using the approximation of \pi\approx3.14).

The sphere has radius 6, so the volume of the sphere is \dfrac43\pi6^3\approx904.32.

The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
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3 years ago
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lozanna [386]

Answer:

(Q) Find the amount in the account at the end of 1 year.

(A) $8,190

2.

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(A) $16,380

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3 years ago
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