Answer:
C
Step-by-step explanation:
Only C is a polynomial function. It is recognizable as such by the positive, integer power x^4. The others have negative powers, which eliminates them.
You want to earn an EAR of 12.682%. Therefore, you would pick an investment with a quoted interest rate of _________ APR with monthly compounding:
A) 12.30%
B) 12.68%
C) 12.00%
D) 12.28%
E) None of the above
Answer:
The correct option is C) 12.00%.
Step-by-step explanation:
This can be calculated using the formula for calculating the effective annual rate (EAR) as follows:
EAR = ((1 + (i / n))^n) - 1 .............................(1)
Where;
EAR = effective annual rate = 12.682%, or 0.12682
i = annual percentage rate (APR) = ?
n = Number of compounding periods or months = 12
Substituting the values into equation (1) and solve for i, we have:
0.12682 = ((1 + (i / 12))^12) - 1
0.12682 + 1 = (1 + (i / 12))^12
1.12682 = (1 + (i / 12))^12
(1.12682)^(1/12) = (1 + (i / 12))^(12/12)
1.12682^0.0833333333333333 = 1 + (i / 12)
1.00999962428035 - 1 = i / 12
0.00999962428035 = i / 12
i = 0.00999962428035 * 12
i = 0.119995491364199, or 11.9995491364199%
Approximating to 2 decimal places, we have:
i = 12.00%
Therefore, the correct option is C) 12.00%.
The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12
The discriminant is greater than zero, the equation has 2 solutions
How to calculate the discrimant of quadratic equationGiven the quadratic expression as shown:
-x^4 + 4x + 1 + 3 = 0
x^4 - 4x - 4 = 0
The discriminant is given as b^2 - 4ac
where;
a = 1
b = -4
c = -4
Substitute
D =(-4)^2 - 4(1)(-4)
D = 16 + 16
D = 32
Since the discriminant is greater than zero, the equation has 2 solutions
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Answer: 2
Step-by-step explanation: got it right
What is the solución to this equation
X/5=30
Answer:
150
Step-by-step explanation:
x/5=30
x=30*5
x=150
Hoped this helped!
Step-by-step explanation:
x/5 = 30
5 × x/5 = 5 × 30
x = 5 × 30
x = 150
Which side lengths form a triangle that is similar to triangle ABC
Answer:
A.
Step-by-step explanation:
Bc if you multiply every side by 3 you get the answer choices in answer A.
PLZ GIVE BRAINLIEST AND PUSH THANKS BUTTON IM IN A BET ABOUT WHOEVER WINS GETS $50
Side lengths form a triangle that is similar to triangle ABC are 30, 21, 45 and this can be determined by using the given data.
Given :
Triangle ABC.AB = 10AC = 15BC = 7The following steps can be used in order to determine the side lengths form a triangle that is similar to triangle ABC:
Step 1 - First determine the ratio of the length of AB and AC.
[tex]\rm \dfrac{AB }{AC} = \dfrac{10}{15}[/tex] --- (1)
Step 2 - Now, determine the ratio of the length of AC and BC.
[tex]\rm \dfrac{AC }{BC} = \dfrac{15}{7}[/tex] --- (2)
Step 3 - Determine the ratio of the length of BC and AB.
[tex]\rm \dfrac{AB }{BC} = \dfrac{10}{7}[/tex] --- (3)
Step 4 - Now, check the ratio of the side lengths given in option A).
[tex]\dfrac{30}{21}=\dfrac{10}{7}[/tex] (Similar to expression 3)
[tex]\dfrac{45}{21}=\dfrac{15}{7}[/tex] (Similar to expression 2)
[tex]\dfrac{30}{45}=\dfrac{10}{15}[/tex] (Similar to expression 1)
Therefore, the correct option is A).
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Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
Solve the following equations for x.
kx - b=3d + 7b
Answer:
x= 3d/k +8b/k i think
Step-by-step explanation:
Point B (-5,5) is
reflected over the
x-axis. Where is
B'?
Answer:
(-5,-5)
Step-by-step explanation:
What is the greatest number of baskets that Lisa can make?
Lisa is making fruit baskets.
• She has 12 pears, 30 apples, and 42 oranges.
• For each type of fruit, each basket must have the same number of pieces
of that fruit
• She must use all of the fruit.
A) 2
B 5
C)6
D)7
Answer: 5
Step-by-step explanation:
find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3
Answer:
123
Step-by-step explanation:
3 + (16 - 1)8
3 + (15)8
3 + 120
123
200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work
Answer:
if you divided 200 by 5.50 the answer will be 36.3636363636
Write the ratio as a fraction in simplest form. 27 to 72
Answer: The ration for 27:71, would be 3/8. Hope this helps!
2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
HELP ME OUT REALL FAST PLEASEE
Answer:
The answer is C because you have to multiply them both:)
Answer:
The answer is C
Step-by-step explanation:
What I'm about to write is overkill for this question, but it works for any common denominator. Factor the denominators.
10: 2 * 5
5 : 1 * 5
You need 1 five and 1 two. The answer is 10
The correct way to go about doing the question is to multiply the 5 by 2 and the 2 on top by 2
2*2/5*2 = 4/10
1/10 1 / 10
4/10 + 1/10
discriminant of 2x2 - 4x + 7 = 0
Answer:
1
Step-by-step explanation:
The discriminant of the quadratic equation 2x2+4x-7=0 is 1
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Please find the comp[lete question in the attached file.
Given:
[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]
In point 1:
[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]
In point 2:
[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]
In point 3:
Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex], in which r and t were constants!
[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]
In point 4:
[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and
[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]
It takes 1 minute for a high speed train to travel 2 miles. How many miles can it travel in 1 hour?
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
Solve picture that I provided
(2x - 1)2 = 49
What are the solutions to this?
Answer:
x = 51/4 or x = 12.75
Step-by-step explanation:
(2x - 1)2 = 49
4x - 2 = 49
4x = 49 + 2
4x = 51
x = 51/4 or x = 12.75
Hope you are able to understand it!
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
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The Buffalo Bills football team wanted to buy new footballs. what did the team have to pay per football? Be sure to explain all of your work.
Answer: I don't see the amount per football
Step-by-step explanation:
He spends a total of $500.
Troy spends $160 on bricks.
He spends the rest of the money on trees that cost $20 each.
Troy uses the equation 500 = 20t + 160 to find the number of trees, t, he can buy.
How many trees can Troy buy?
Answer:
he can buy 17 trees
Step-by-step explanation:
Does f(x)=|x|+5 go up or down
Answer:
up
Step-by-step explanation:
postive, up!
Answer:
..........UP..........
Help plsssssssssssssssssssssss thanks so much
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation:
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
The water level of the river
Answer:
you just see whats on the side and write it down so its 16-20
Step-by-step explanation: