Answer:
$4250
Step-by-step explanation:
i = prt
or
p = i / rt
where,
i = $1,785
r = 6% = 0.06
t = 7 years
So, we can calculate initial vale by putting the values in above equation;
p = $1,785 / (0.06 x 7)
p = $1,785 / 0.42
p = $4,250
Hence the initial value will be $4250
Answer:

Step-by-step explanation:
We have been given the intersection coordinates:
(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t
From the condition of perpendicularity we know:


Now, we have given x=-1+t , y=-2+t and z= -1+t





Now, substituting t in the given coordinates x,y and z we get:


And 
Answer: 6 - 5
<u>Step-by-step explanation:</u>
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Answer:
y = 2x + 0
Step-by-step explanation:
the formula is y = mx + b
m = slope = change in y/change in x = (84 - 76)/(42 - 38) = 2
Slope is 2.
b is the y-intercept, which is the coordinate when x = 0. To find b, substitute any coordinate from the table. Let's use (38, 76)
y = 2x + b
76 = 2(38) + b
76 = 76 + b
b = 0
So the equation is y = 2x + 0
If im not mistake i think 1/2 is 0.5 but im not sure about the other one