Select the correct augmented matrices. Liam wants to buy a car and pay for it in three installments. The total cost of the car is $29,000. Two times the first installment is $1,000 more

than the sum of the third installment and three times the second installment. Liam must pay 1596 interest on the second and the third

installments: the interest will amount to $2,100. If x, y, and z represent the first second, and third installments, respectively, identify the

augmented matrices that model Liam's situation.

129.000]

1

2 -3 -1

0.15 0.15 0.15

1.000

2.100

1 29.000

| -3 2 0 -15.000

1 14.000

[1

2

0

1

-3

0.15

1 29.000]

-1 1.000

0.15 2.100

1 0 0 115,000

1 o 7,500

Lo 0 1 6,500

[1 0 0 15.000

0 1 0 8,500

Lo o 1 5,500

[1 1 129.000

3 2 0 30,000

114.000

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

answer

step-by-step explanation:

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.