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AlexFokin
10 days ago
11

Identify two numbers less than 20 with the most factors

Mathematics
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Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no deposits or withdrawals are ma
lawyer [12517]

Answer:

Step-by-step explanation:

This formula is applied when compounding isn’t continuous or occurs less frequently than annually:

A(t)=P(1+\frac{r}{n})^{(n)(t)} where P represents the initial amount invested, r signifies the interest rate as a decimal, n indicates the frequency of compounding per year, and t denotes the duration in years. For our scenario:

P = 5200,

r = 0.046,

n = 365, and

t = 11

A(t)=5200(1+\frac{.046}{365})^{(365)(11)} Consequently,

A(t)=5200(1+.000126)^{4015} A(t) = 5200(1.658408042) leads to

A(t) = $8623.72

8 0
1 month ago
A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimat
zzz [12365]

Answer:

A one-sample t-interval for estimating a population mean

Step-by-step explanation:

Given the inquiry "On average, how many minutes each day do you spend on social media sites?", the response will be numeric (in hours, whole numbers, or decimals).

This is not a proportion, so the suggestion of "A one-sample t-interval for a population mean" is not applicable.

The study does not specify another metric for paired comparisons, making a matched-pairs test irrelevant. Hence, the option "A matched-pairs t-interval for a mean difference" is also excluded.

Since there are no two means being examined, the options for "difference between means" are not applicable either. Therefore, options like "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means" are dismissed.

The correct approach should be a one-sample t-interval for a population mean, as there is only a single sample and a defined population mean, with the population standard deviation remaining unknown.

3 0
2 months ago
. A hawk drops its prey from a certain height above the ground.The height, h metres, of the prey can be modelled by h = 4 + 11 t
Leona [12618]

Answer:

The hawk releases the prey from a height of 4 meters.

It takes the prey 4 seconds to reach the ground.

Step-by-step explanation:

The equation gives insights about the height of the prey at any time starting from the moment it is dropped. Thus, to determine the drop height, we evaluate the expression at time equals zero (the drop moment). This answers the first question:

h=4+11t-3t^2\\h=4+11\,(0)-3\,(0)^2\\h=4\, \,meters

To ascertain when the prey touches the ground, we set "h" to zero (height of zero) and solve for "t".

This results in a quadratic equation that can be solved via the quadratic formula:

h=4+11t-3t^2\\0=4+11t-3t^2\\-3t^2+11t+4=0\\t=\frac{-11+-\sqrt{11^2-4\,(-3)(4)} }{2\,(-3)} \\t=\frac{-11+-\sqrt{121+48} }{-6} \\t=\frac{-11+-13 }{-6} \\t= 4\,\,and \,\, t=-\frac{1}{3}

Since negative time values are impractical, we select the positive 4 (4 seconds)

5 0
1 month ago
Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.
lawyer [12517]

Answer:

la derivada de la función vectorial dada es = ( -16-22t, 14-36t, -2-16t )

Explicación paso a paso:

datos proporcionados:

función vectorial: r(t) = ta*(b+tc)

a = ( 2,-3.4).   b = (-4,5,-1).  c = ( -2,-1,5)

para determinar la derivada de la función vectorial, se procederá a diferenciar respecto a x; aquí está la solución detallada

7 0
2 months ago
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Zina [12379]
The inverse function is defined as h(x) = 4x + 48. To derive it from f(x) = 1/4x - 12, substitute y = f(x) and rearrange the equation to isolate x as shown, leading to h(x).
4 0
1 month ago
Read 2 more answers
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