Answer:
C
180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.
Answer:
a) The portfolio will be at maximum after 12 months (1 year)
b) The maximum value of the portfolio is $5432
Step-by-step explanation:
The function that models Jennifer's stock portfolio (in dollars) is , where t is the time in months since she opened the account.
We complete the square to obtain this function in vertex form:
Factor -3 from the first two terms
.
Add the zero pairs -3(+144),-3(-144)
.
Factor the perfect square trinomial and simplify.
.
The vertex of this function is (h,k)=(12,5432)
a) The portfolio will be at maximum when t=12, the h-value of the vertex
b) The maximum value of the portfolio is the k-value of the vertex which is 5432
95 – 2x < 7 (15x – 17)
Answer:
x = 2
Step-by-step explanation:
From the question we are given the algebraic sign with the Inequality sign
95 - 2x < 7 (15x - 17)
In order to find all the possible values of x that makes the algebraic expression true ,
We solve for this by convert the less than(<) sign to =
A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.
Therefore:
95 - 2x = 7 (15x - 17)
95 - 2x = 105x - 119
Collect like terms
95 + 119 = 105x + 2x
214 = 107x
x = 214/107
x = 2
In other to confirm if x = 2 makes the expression true
95 - 2x = 7 (15x - 17)
95 - 2x = 105x - 119
95 - 2 × 2 = 105 × 2 - 119
95 - 4 = 210 - 119
91 = 91
Therefore, the possible values for x that make the statement true is x = 2
Answer:
this is the he answer according to the information given
Answer: The answer is (A) ∠T.
Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.
In the two polygons, the corresponding vertices are
A ⇒ T
B ⇒ V
C ⇒ S
D ⇒ R
E ⇒ K.
Therefore, ∠EAB, which is ∠A will correspond to ∠T.
Thus, the correct option is (A) ∠T.