Answer:
interest earned= 292.878
the future value of an annuity= 892.878
Step-by-step explanation:
Given Data:
Interest rate= 5%
time,t = 8 years
Quarterly payment, P= 600
n= 4 as quarterly
At the end of 8 years, final investment A= ?
As per the interest formula
A= P(1+r/n)^nt
= 600(1+0.05/4)^32
= 892.878
Interest earned = A-P
= 892.878-600
= 292.878 !
Answer:
294 cars.
Step-by-step explanation:
Let x be the number of cars and y be the number of trucks.
We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.
Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

We can see that total number of cars sold on two dealerships will be
.
We will use substitution method to solve for x. From equation (1) we will get,

Substituting this value in equation (2) we will get,

Now let us have a common denominator.


Upon multiplying both sides of our equation by 2 we will get,





Therefore, the total number of cars sold by two dealerships is 294.
Y=1 because if you remove the y’s, you see 1.4+0.09=1.49
Answer:
19.63%
Step-by-step explanation:
The probability of scoring 8 points is the probability of getting a dart into the green circle.
That probability is equivalent to the area of the circle divided by the total area of the square board.
The area of the circle according to
, is
cm squared
The area of the whole square board is one side squared: 20 squared = 400 cm squared
The probability is therefore equal to
%
33% because 66/200 is .33, and convert that to percentage by multiplying by 100