Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloon

a) This represents a geometric sequence. b) c) The salary at the beginning of the fifth year will be $46,945.21. To clarify, my starting salary is $37,185. Should I receive a 6% raise each year, the salary for the following year will be: $37,185 x 1.06 = $39,416.10. Consequently, the salary after the second year will be: $39,416.10 x 1.06 = $41,781.07. Hence, the salary sequence will look like: $37,185, $39,416.10, $41,781.07, and so forth, demonstrating a consistent ratio of r = 1.06 for each term.

Begin by disregarding the inequality symbol and substituting it with an '=' sign. After that, determine the x- and y-intercepts.

15x + 10y = 1,100

x-intercept:

15x + 0 = 1,100

x = 1,100/15 = 73.33

y-intercept:

0 + 10y = 1,100

y = 1,100/10 = 110

Now, plot the points (73.33,0) and (0,110). Given that the inequality symbol is ≥, representing equality, connect these points using a solid line. 

Next, let's identify a point on the graph, for instance, the origin (0,0). Use this point in the equation.

15x + 10y ≥ 1,100

15(0) + 10(0)? 1,100

0? 1,100

0 < 1,100

This makes the ≥ statement false. As a result, the alternate area defined by the line is the solution. Consequently, shade that region. The resulting graph is displayed in the attached image.

Answer:

150

Step-by-step explanation:

We perform addition.

a) The total of 48 added to itself

= 48 + 48 = 96

b) Its half plus half of the half

= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)

= 96 + 24 + (1/2 × 24)

= 96 + 24 + 12

= 132

c) plus 18

= 132 + 18

= 150

Thus, adding 48 to itself, its half, and half of that to 18 results in 150.

Answer:

a) The score of the new student is 90.

b) Their scores consist of two values less than 100 that average to 90.5.

Step-by-step explanation:

The mean is calculated by dividing the total of all scores by the number of students.

For the 15 students, the average score was 82.0

This implies that there are 15 students whose score sum totals 15*82 = 1230.

(a) An additional student comes in, changing the mean to 82.5. What is the score of the new student?

Now with 16 students, the total score amounts to 1230 + x, and the mean is 82.5. So

The new student’s score is 90.

(b) If two students join, raising the average to 83. What could their scores be while ensuring they are whole numbers?

With 2 additional students, there are now 17 in total. The average score of the new students is 2x. The overall class score would then be 1230 + 2x with a mean of 83. Thus

The average of the two students’ scores is 90.5.

Thus, their scores must be two values under 100 with an average of 90.5.

The median represents the value that stands between the highest and lowest compared to the other values in the set. The mean is the average, determined by summing all the values and dividing the total by the number of data points in the set.