Answer:
The worth of the car after 6 years is £2,134.82
Step-by-step explanation:
The amount at which Dan buys the car, PV = £2200
The rate at which the car depreciates, r = -0.5%
The car's worth, 'FV', in 6 years is given as follows;

Where;
r = The depreciation rate (negative) = -0.5%
FV = The future value of the asset
PV = The present value pf the asset = £2200
n = The number of years (depreciating) = 6
By plugging in the values, we get;

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:

The money Terry invested is modeled by the function
where x represents number of days.
The average rate of change from day 2 to day 10 is given by:

The average rate of change becomes:


Answer:
Chicken is $8
Duck is $5
Step-by-step explanation:
Step 1: Let
represent the cost of chickens and let
represent the cost ducks. Since we have two unknowns, we need two equations to find them.
Step 2: The total cost of chickens Michael sold last month can be shown as
, and the total cost of ducks he sold last month can beshown as
Since these together add up to 550, we get these equations:

We are also given that this month, Michael sold 44 chickens, and 36start text, 36 ducks, $532. This equaion can be expressed as:

Now that we have a system of the two equations, we can now go ahead and solve the two equations.
Step 3: We can now solve the system of equations by using the elimination method. Manipulate the equations so one of the variables has the same coefficients but with opposite signs.

Now eliminate 

When we solve the resulting equation, we obtain that
. Then, we can substitute this into one of the original equations and solve for
to obtain
.
Step 4: Recall that
denotes the cost of a chicken and
denotes the cost of a duck. Therefore, a chicken costs $8, and a duck costs $5
No solution :P
i even used photomath to do this, it doesnt show anything
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is
The standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically evaluated as



From the z - table the p-value is obtained and the value is

