Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x = 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1² = 9 + 1²
(x + 1)² = 10
Answer:
Yes, they are congruent!
Step-by-step explanation:
because they are the same shape meaning they will have the same angle/degree.
Answer:
y=1/2x-2
Step-by-step explanation:
Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is


Interest is
=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is

Interest is
= $8213.68
calculating the diference in interest between the two options we have
= $197.9
Option A earns higher interest
Answer:
Option A.
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above