Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
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Many scientific and graphing calculators and web sites can perform this calculation for you.
Answer:
504 kilos de manzanas fueron llevados a la escuela.
Step-by-step explanation:
Sean ,
la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:
Total de cajas
(1)
Masa de cada caja de peras
(2)
(3)
Masa de caja de manzanas
(4)
De (2) en (3), tenemos que la masa de cada caja de peras es:
Por (4), encontramos que la masa de cada caja de manzanas es:
Finalmente, de (1) tenemos la cantidad de cajas de manzana:
La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:
504 kilos de manzanas fueron llevados a la escuela.
Answer:
value of buyout is $4185.74
Step-by-step explanation:
given data
car worth = $25077
down payment = $3560
monthly payment = $336 = 336 × 6 = $2016 per semi annually
time = 5 year = 10 half yearly
rate = 4.04 %
to find out
value of final buyout
solution
we know here loan amount will be 25077 - 3560 = $21517
and we find present value first by formula that is
present value =
put here t = 10 and r =
so
present value =
present value = 18089.96
so
loan unpaid amount is here
loan unpaid amount = 21517 - 18089.96
loan unpaid amount = $3427.04
so
now we calculate value of buyout
that is express as
amount = principal ×
amount = 3427.04 ×
amount = 4185.74
so value of buyout is $4185.74