The relative growth rate for a certain type of mutual fund is 5.1% per year. An account is opened with a balance of $35,000. How much is the mutual fund worth in 5 years? In your final answer, include all of your calculations.

Question

Ceasar opens a bank account and makes an initial deposit of $1,800. The banker tells Ceasar that he is going to receive an annual rate of 3.2% on his investment. What is the balance of the account after one year, assuming that Ceasar doesn’t make any additional deposits or withdrawals?
A show pony weighs at least 900 pounds. After a recent weigh-in, the owner of a show pony amended the diet of his pony, increasing the animal's caloric intake, with the hope that the pony would gain weight to be shown in a few months. The data shown in the table and scatter plot below represents the pony's additional daily caloric intake and recorded weight gain (in pounds) of the show pony over the last ten weeks.
Additional Daily Calories Consumed
Weight Gained
(in pounds)
1,500
3
1,575
7
1,650
3
1,725
4
1,800
8
1,875
9
1,950
13
2,025
7
2,100
17
2,175
15

Part A: Use the data shown in the table and scatter plot to create an approximate equation for the line of best fit.
Part B: Incomplete sentences describe the show pony's weight gain in terms of the units used in the data.
Part C: According to the equation for the best fit line for the data, approximately how much weight would you expect the pony to gain in a week if its additional daily caloric intake for that week is 2,300 calories?

Hoping to increase pizza sales on Tuesdays, a new pizza restaurant prints and disperses the following coupon through email and fliers in a neighborhood marketing magazine

After ten weeks of the coupon offer, the owner of the restaurant needs to decide if the restaurant should continue to run the same special or offer a new one. Use the data collected in the table to determine whether or not the coupon appears to be generating sales for the restaurant.
Week
Total
Sales
1
$859
2
$1,176
3
$1,480
4
$1,365
5
$1,576
6
$1,498
7
$1,180
8
$1,964
9
$1,634
10
$1,580

Part A: Create a scatter plot and the line of best fit to represent the data in the table. Be sure to label each axis, as well as to include the proper titles for the scatter plot.
Part B: Use the total sales for weeks 4 and 9 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: in terms of the slope of the equation for the line of best fit, explain whether or not you think the coupon is responsible for the restaurant's increase or decrease in pizza sales on Tuesdays. Use complete sentences in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the coupon for an additional five weeks, use the equation for the line of best fit to predict the restaurant's sales for the Tuesday of the 15th week.
how to work all of these out