What do you mean by “rates” ?
Answer: 6.46 is your answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.
Answer:
3 hours
Step-by-step explanation:
Let's express number of hours required for servicing as: x
The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.
This is expressed mathematically as:
$15 + $10 × x
= 15 + 10x
The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car
This is expressed as:
$15 × x
= 15x
The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:
Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue
15 + 10x = 15x
15 = 15x - 10x
15 = 5x
5x = 15
x = 15/5
x = 3 hours
Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours
Answer:
a)
b)
Step-by-step explanation:
We assume that the data is this one:
x: 150 129 142 112 134 122 126 120
y: 88 96 106 80 98 63 95 64
Part a
We want to find a linear model . Where:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part b
For this case w ejust need to replace x= 113 in the regression model and we got this: