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Alex
2 years ago
7

A student walks in displacement of 34 m in a time of 7s. What is the students velocity?

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

4.86 m/s

Step-by-step explanation:

Let's start with the formula for velocity. Velocity = Displacement/time

Since we are given the displacement and the time we can plug these back into the equation:

Velocity = 34m/7s

Velocity = 4.86 m/s (rounded to two decimal places)

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Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

A=P\cdot e^{rT}

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T=  Time in years.

Let us convert our given interest rate into decimal form.

3.8\text{ percent}=\frac{3.8}{100}=0.038

Upon substituting our given values in above formula we will get,

A=5000\cdot e^{(0.038\times (40-18))}    

A=5000\cdot e^{(0.038\times 22)}

A=5000\cdot e^{0.836}

A=5000\cdot 2.307120015126555      

A=11535.600075632775\approx 11535.60

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

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Answer and Step-by-step explanation:

Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:

σ² = ∑(x  - ⁻x)² / n

1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;

2) Subtract each value of the data to the mean;

3) Square the result of the subtractions;

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