Answer:
1. c. $450.
2. 22%
Step-by-step explanation:
1. We will use simple interest formula to find the amount of interest after 2 years on $5,000. As interest is not compounded, so it will not matter if she moves the simple interest earned in separate account or not.
, where,
I= Amount of interest.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
Upon substituting our given values in above formula we will get,
Therefore, Tracy will get an amount of $450 as simple interest after 2 years and option c is the correct choice.
2. Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest.
6 months is same as 1/2 year.
Upon substituting our given values in above formula we will get,
Since interest rate is in decimal form, let us convert it in percent.
Therefore, interest rate of certificate of deposit was 22%.
+ The vertex of this parabola is at (4, -3), that means we have the equation of this parabola: y=a(x-4)² -3
+ <span>when the x-value is 5, the y-value is -6, we have -6=a(5-4)</span>² -3
or we have a= -6+3, and we have a= -3
+ <span>what is the coefficient of the squared term in the parabola's equation, that is a, and a= -3</span>
We know that the probability density function of a variable that is normally distributed is f(x) = 1/(σ√2π) * exp[1/2 (x – µ). Its inflection point is the point where f"(x) = 0.
Taking the first derivative, we get f'(x) = –(x–µ)/(σ³/√2π) exp[–(x–µ)²/(2σ²)] = –(x–µ) f(x)/σ².
The second derivative would be f"(x) = [ –(x–µ) f(x)/σ]' = –f(x)/σ² – (x–µ) f'(x)/σ² = –f(x)/σ² + (x-µ)² f(x)/σ⁴.
Setting this expression equal to zero, we get
–f(x)/σ² + (x-µ)² f(x)/σ⁴ = 0
Multiply both sides by σ⁴/f(x):
–σ² + (x-µ)² = 0
(x-µ)² = σ²
x-µ= + – σ
x = µ +– σ
So the answers are x = µ – σ and x = µ + σ.
Dependent one:Pulling two cards one after the other,from the same deck of cards
Independent one: Pulling one card,then replacing it and shuffling the deck,then pulling another card.You can also pull 2 cards from different decks
Answer:
(x+3)=-6
x=-6-3
x=-9
Step-by-step explanation:
Hope it helps!
When side changes positive changes into negative.