Answer:
W=7 and L=11
Step-by-step explanation:
We have two unknowns so we must create two equations.
First the problem states that length of a rectangle is 10 yd less than three times the width so: L= 3w-10
Next we are given the area so: L X W = 77
Then solve for the variable algebraically. It is just a system of equations.
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0
W = -11/3 and/or W=7
Discard the negative solution as the width of the rectangle cannot be less then 0.
So W=7
Plug that into the first equation.
3(7)-10= 11 so L=11
Secure Unsecured
Credit APR APR
FAIR 7.00 7.65
Brand new Used Car
Purchase Price: 19,072 15,635
Sales Tax 4.5%
(price x 4.5%) <u> 858.24 </u> <u> 703.58</u>
Total price 19,930.24 16,338.58
Downpayment <u> (1,200.00) </u> <u> (1,200.00)</u>
For financing 18,730.24 15,138.58
Interest: Brand New:
Secured : 18,730.24 * 7% * 1/12 = 109.26
Unsecured: 18,730.24 * 7.65% * 1/12 = 119.41
Interest: Used Car
Secured: 15,138.58 * 7% * 1/12 = 88.31
Unsecured: 15,138.58 * 7.65% * 1/12 = 96.51
Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
