Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a

Answer:

50 years

Detailed breakdown:

Applying the simple interest formula:

PRT/100

Where P is the principal amount ($5000)

R represents the interest rate (4)

T signifies the time (x- unknown)

The total amount after time T is double the initial investment = 5000 * 2 = 10000

(5000 * 4 * x) / 100 = 10000

20000x / 100 = 10000

20000x = 100 * 10000

20000x = 1,000,000

x = 1,000,000 / 20,000

x = 50

It will require 50 years

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

Answer:

A.

Step-by-step explanation:

Answer: (97.98, 112.020)

Step-by-step explanation: We will create a 95% confidence interval for the average weight of melons.

Given the information, we determine that the critical value for the interval needs to be retrieved from a t distribution table due to the sample size being below 30 (specifically, 20), and we are provided with the sample standard deviation (s = 15 lb).

The parameters provided are:

Sample mean = x = 105 lb

Sample standard deviation = s = 15 lb

Sample size = n = 20

To establish the 95% confidence interval, we indicate that the level of significance is 5%.

The formula for the confidence interval is:

u = x + tα/2 × s/√n... for the upper limit

u = x - tα/2 × s/√n... for the lower limit.

tα/2 represents the critical value for the test (which will be determined using the t distribution table).

To derive tα/2, we look for the value based on the degrees of freedom (sample size - 1) against the significance level for a two-tailed test (α/2 = 0.025%) in a t distribution table.

For the upper limit, we calculate:

u = 105 + 2.093×15/√20

u = 105 + 2.093× (3.3541)

u = 105 + 7.020

u = 112.020.

u = 105 - 2.093×15/√20

u = 105 - 2.093× (3.3541)

u = 105 - 7.020

u = 97.98

Confidence interval (97.98, 112.020)

Robert covered a distance of 292 miles.

He took 4 hours to complete this journey.

Next, let's convert miles to feet.

1 mile equals 5280 feet.

Thus, 292 miles in feet equals 292 * 5280 = 1541760 feet.

Now, converting 4 hours into seconds.

1 hour translates to 3600 seconds.

Therefore, 4 hours equals 3600 * 4 = 14400 seconds.

The question asks for speed in feet per second.

Thus,

is 107.067 feet per second.