Answer:
-3x + 4y -5z
Step-by-step explanation:
-3x -(-4y) -5z
-3x+4y-5z
Answer:
The slope is -5/4 or -1.25
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m= (-4-6)/(9-1)
m=(-10)/8
m= -5/4
Answer:
$1166.08 is the monthly payment for the mortgage per month.
Step-by-step explanation:
The meaning of this stated formula on the statement is the present annuity formula because we will have future monthly payments on the mortgage of the house in which they pay off the present value of the house which is $240000 x 80% = $ 192000 as this amount will excludes the down payment of 20% that is made.
We are given Pv the present value which excludes the down payment $192000.
We have the interest rate i which is 1.2%/12 as it is compounded monthly.
n is the number of payments made over a period which is 12 x 15 years= 180 payments as it is compounded monthly.
no we substitute the above mentioned information to the present value annuity formula stated to calculate R the monthly payment:
Pv = R[(1-(1+i)^-n)/i]
$192000 = R[(1-(1+(1.2%/12))^-180)/ (1.2%/12)] divide both sides by the coefficient of R
$192000/[(1-(1+(1.2%/12))^-180)/(1.2%/12)] = R
$1166.08 =R which this is the amount that will be paid for the mortgage every month for 15 years.
Number of white chips = 4
Number of black chips = 6
Total number of chips = 4 + 6 = 10
Choosing the first white chip:
p(white chip) = 4/10 = 2/5
Now the numbers are:
Number of white chips = 3
Number of black chips = 6
Total number of chips = 3 + 6 =
Choosing the second white chip:
p(white chip) = 3/9 = 1/3
p(white chip followed by white chip) = 2/5 * 1/3 = 2/15
Answer:
The required y-value is -121.
Step-by-step explanation:
There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = -8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = -8 and x = 14.
Substituting x = 3 into f(x)= -(x+8)(x-14) results in f(3) = -(11)(-11) = -121.
The vertex is at (3, -121). The required y-value is -121.
