The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit
for the scatter plot can be described by the equation y = 4/5x. If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36
39
56
24
36
39
56
24
1 answer:
You might be interested in
Answer:
$57,369
Step-by-step explanation:
We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.
To solve our given problem we will use compound interest formula.\
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given rate in decimal form.
Upon substituting our given values in compound interest formula we will get,
Therefore, an amount of $57,369 will be in the account after 4 years.
Answer:
When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>
Step-by-step explanation:
As per the given statement:
The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a function.
The function that models the scenario is:
......[1]
where
f(h) represents the company's profit
h represents the number of helicopters produced per week.
It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.
Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week
⇒ and
we have to find when 6 helicopters are produced weekly, the company profit is;
⇒ h = 6 helicopters
Substitute this value in [1] to solve for f(6);
=
Therefore, the company profit is, 14 thousand dollars.