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Leokris
3 months ago
6

Withdrawing $10 every week from an outstanding balance of $400

Mathematics
2 answers:
lawyer [12.5K]3 months ago
8 0
-10w - 400 = o

w= weeks
o = remaining balance
Inessa [12.5K]3 months ago
8 0

Answer:

400-10w.

Step-by-step process:

Let w denote the number of weeks.

We need to formulate an expression for the scenario detailed in the word problem.

The withdrawal amount is $10 each week, therefore the total amount withdrawn over w weeks is 10w.

The remaining amount after w weeks will be $400 minus 10w.

Consequently, the expression we seek is 400-10w.

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Which polynomial function could be represented by the graph below?
AnnZ [12381]
According to the graph, which depicts a parabola, we can determine that the function will be quadratic. First, we identify the zeros as x=2 and x=4. Next, we can form the function using a point to solve for 'a'. For instance, at x=3 and y=-3, we can find 'a.' Plugging back into the equation, we can perform necessary multiplications to reach the final function.
8 0
2 months ago
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Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
tester [12383]

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

7 0
3 months ago
A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in th
PIT_PIT [12445]

Respuesta:

126 pies

Explicación paso a paso:

Dado que:

Ecuación de la línea que representa el sendero de naturaleza:

y = 13x - 4

Distancia del gazebo respecto al sendero de naturaleza:

Cada unidad en el plano de coordenadas = 10 pies

Por lo tanto,

y = 13(10) - 4

y = 130 - 4

y = 126 pies

6 0
2 months ago
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