Answer:
Step-by-step explanation:
From equations (1) & (2), we find:
6x - 8 = - 3x +10
Plug x = 2 in equation (1)
y = 6(2)-8 = 12-8 =4
So,

Answer:
p = - 5
Step-by-step explanation:
The vertex of the function is (0.5, 30.25 )
Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical
with equation x = 0.5
The axis of symmetry passes through the midpoint of the roots, thus
= 0.5 ( multiply both sides by 2 )
6 + p = 1 ( subtract 6 from both sides )
p = - 5
Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
Answer:
y =
+ 
Step-by-step explanation:
y''- 9 y' + 18 y = t²
solution of ordinary differential equation
using characteristics equation
m² - 9 m + 18 = 0
m² - 3 m - 6 m+ 18 = 0
(m-3)(m-6) = 0
m = 3,6
C.F. = 
now calculating P.I.


hence the complete solution
y = C.F. + P.I.
y =
+ 
Answer:
C. P69,256.82
Step-by-step explanation:
We know that,
The amount formula in compound interest is,

Where, P is the principal amount,
are the annual rate for the different periods,
are the number of year for different periods,
are the number of periods,
Given,
A = P 200,000,
,
,
,
,
, 
Thus, by the above formula the final amount would be,




Option C is correct.