Answer:
P = 6000r = 0.059n = 4$10164.30Step-by-step explanation:
Given that $6000 is deposited into an account earning 5.9% compounded quarterly, you want the values of P, r, n used in the future-value formula, and you want the value after 9 years.
(A) Formula valuesThe problem statement tells you the values:
amount deposited = P = 6000
interest rate = r = 5.9% = 0.059
compounding periods in a year = n = 4
(B) Future valueUsing these numbers in the formula, you find (with t=9) ...
S(9) = 6000(1 +0.059/4)^(4·9) ≈ $10164.30
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
learn more on sector here: https://brainly.com/question/22972014
#SPJ1
After a filling meal, Ms. Ironperson and Mr. Thoro went their separate directions. Ms. Ironperson lives due east from the Shawarma Mediterranean Grill and Mr. Thoro lives due south. Both leave at the same time; Ms. Ironperson traveling at 50 mph and Mr. Thoro at 60 mph. If Ms. Ironperson travels at rate of 50t and Mr. Thoro travels at a rate of 60t, what is the correct equation to find how long it will take them to be 400 miles apart?
Options :
A) 50t + 60t =4002
B) (50t)2+(60t)2 = 4002
C) 50t + 60t = 400
C) 50t2 + 60t2 = 4002
Answer:
400^2 = (50*t)^2 + (60*t)^2
Step-by-step explanation:
Given the following :
Ms. Ironperson:
moves due east
Speed = 50 mph
Rate of travel = 50t
Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t
Mr. Thoro
moves due South
Speed = 60 mph
Rate of travel = 60t
Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t
They are moving at right angle from each other, thus, we can apply Pythagoras rule ;
The displacement between them will be = 400 miles which is the hypotenus
From Pythagoras :
Hypotenus^2 = opposite^2 + Adjacent^2
Displacement = distance 1 + distance 2
400^2 = (50*t)^2 + (60*t)^2
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the
actual width and length of the rose garden?
8.5 in
2.5 in
Scale: 0.5 in = 2 ft
what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
1. Evaluate 7m + 3mn; when m=8 and n=14?
2. Simplify: 675 ÷ (6+9 ÷ 3)
3. (3x - 2)(4x +1)
Answer:
1. 392
2. 75
3. \(12x^{2} - 5x -2\)
Step-by-step explanation:
1. 7×8 + 3×8×14 = 56 + 336 = 392
2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75
3. \(12\)\(x^{2}\) + \(3x -\) \(8x - 2\) = \(12x^{2} -5x-2\)
5 4
_ x _ = 20
7 1 _ =
7
I can’t figure this out show step by step pls
Answer:
x 64 3pk1
Step-by-step explanation:
Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
what is the end behavior of the graph of fx x 5 8x 4 16x 3
The end behavior of the graph of f(x) = x⁵ – 8x⁴ + 16x³ does not cross the x-axis at x = 4 and crosses the x-axis at x = 0. This is about the end behavior of a graph of a function at the end of the x-axis. Also, f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞.
We are given the function;
f(x) = x⁵ - 8x⁴ + 16x³
A) As x approaches negative infinity -∞, x⁵ will also approach negative infinity -∞. This is because when we raise a negative number to the power of an odd number, the result remains negative.
B) As x approaches positive infinity +∞, x⁵ will also approach positive infinity -∞. This is because when we raise a positive number to the power of an odd number, the result remains positive.
Let's now find the roots of this function;
f(x) = x⁵ - 8x⁴ + 16x³
Let's factorize it first to get;
f(x) = x³(x² – 8x + 16)
(x² – 8x + 16) is a perfect square trinomial and can be expressed as (x – 4)(x - 4).
Thus;
f(x) = x³ (x – 4)(x - 4)
C) Since we have found the factorized form to be;
f(x) = x³ (x – 4)(x - 4)
The roots are at f(x) = 0;
The roots are; x³ = 0; (x – 4) = 0 ; (x - 4) = 0
This means the roots of f(x) are; x=0 and x=4. x = 4
This means the graph has a repeated root and so it will touch the x-axis but not at the repeated root of x=4.
D) Since, 0 is a root and it does not cross at x = 4, the graph will cross at x = 0.
To learn more about the root visit: https://brainly.com/question/1527773
#SPJ4
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
True or False: If the discriminant is less than zero, then the graph will never cross the x-axis.
False
True
Answer:
True
Step-by-step explanation:
If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots
If the discriminant \(D=b^2-4ac > 0\), then there are two real roots
If the discriminant \(D=b^2-4ac=0\), then there is only one real root
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
For more such questions on tax,click on
https://brainly.com/question/28414951
#SPJ8
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
Read more on horizontal asymptote here: brainly.com/question/25566825
#SPJ1
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
What is the value of the expression shown below 14 1/3 - 6 5/8
Answer:
the value of the expression 14 1/3 - 6 5/8 is 185/24.
Step-by-step explanation:
To solve this problem, you can convert both mixed numbers to improper fractions, then subtract the fractions and simplify the result. Here are the steps:
1. Convert 14 1/3 to an improper fraction:
14 1/3 = (14 x 3 + 1) / 3 = 43 / 3
2. Convert 6 5/8 to an improper fraction:
6 5/8 = (6 x 8 + 5) / 8 = 53 / 8
3. Subtract the fractions:
43 / 3 - 53 / 8 = (43 x 8 - 53 x 3) / (3 x 8) = (344 - 159) / 24 = 185 / 24
So the value of the expression 14 1/3 - 6 5/8 is 185/24.
Step-by-step explanation:
Look at pic plz help
Answer:
Mochi is growing quicker.
Step-by-step explanation:
At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.
Answer:
Mochi
Step-by-step explanation:
by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.
Find the rate of change (slope) for the given table
a -1/4
b -4
c 1/4
d 4
Solve the equation by first subtracting 2/3 from each side
3x + 2/3 =7 5/6
The solution to the equation is x = 2 7/18
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3x + 2/3 =7 5/6
Solve the equation by first subtracting 2/3 from each side
So, we have
3x = 7 1/6
Divide both sides of the equation by 3
This gives
x = 2 7/18
Hence, the solution is 2 7/18
Read more about equation at
https://brainly.com/question/2972832
#SPJ1
What is the value of z?
Answer:
68°
Step-by-step explanation:
Every figure must sum 180°(Sides-2) degrees
Example: For a triangle (3 sides) 180°(3-2) => 180°(1) =>180°
In this case: 5 sides 180°(5-2) => 540°
So all the angles (5) must sum 540°
Mathematically expressed as:
\((119)+(z)+(2z)+(70)+(2z)+(11)=540\\119+z+2z+70+2z+11=540\\200+5z=540\\5z=540-200\\5z=340\\z=\frac{340}{5}\\z=68'\)
Lets see changing every Z by 68...
119+68+2(68)+70+2(68)+11
119+68+136+70+136+11=540°
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
For more such information on: set
https://brainly.com/question/24713052
#SPJ8
Answer: 4
Step-by-step explanation:
trust me bro
Which graph shows a set of ordered pairs that represent a function?
Answer: The One In The Top Right Corner Is the Answer :)
Step-by-step explanation:
The Dots In The bottom is connected to the Top Right Dots By A Rastangle By the dot in the top on the Restangle :)
Bye
write slope form of lines satisfying the given coditions then use the point slope form of the eqation to write the slope intercept form of the equation slope = 4, passsing through (-3,9)
Here is how to find the equation of the line using point-slope form
Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)
Now that we have the formula, we plug in what we are given.
y - 9 = 4(x + 3)
We can covert this into slope-intercept form by solving for y.
\(y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21\)
Our equation for this line is: y = 4x + 21.
We can prove this by graphing the line, like so:
Poster is 3 inches long , it is four times wide as it is long
Step-by-step explanation:
if it is three inches long do 4x3 which is 12 inches
Complete both transformations below. Then enter the final coordinates of the figure.
A (-4,0)
B
A" ([?], []) C" ([], [])
C (-3,-3)
1) Reflect across y-axis 2) < -5,2>
Answer:
A"(-1, 2)B"(-5, 1)C"(-2, -1)Step-by-step explanation:
You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.
TransformationThe reflection across the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
The translation adds the translation vector to the reflected coordinates.
(x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)
Then the result of both transformations is ...
(x, y) ⇒ (-x -5, y +2)
For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...
A"(-1, 2)B"(-5, 1)C"(-2, -1)
Evaluate
--(5-1)(5²).
Answer:
100
Step-by-step explanation:
You want the value of --(5-1)(5²).
Minus signsThe even number of leading minus signs cancel each other, so the effect is as if there were no leading minus signs.
--(5 -1)(5²)
= --(4)(25)
= --(100)
= -(-100)
= 100
__
Additional comment
As always, the value of a numeric expression can be found using a calculator.
<95141404393>
A recipe for 1/2 lb of flour for 1 batch. How many batches can be made with 1 lb?
Answer:
2
Step-by-step explanation:
Answer:
2 batches
Step-by-step explanation:
1 = 2 halves
1 batch × 2 = 2 batches
PLEASE HELP 20 POINTS! Hunter and his children went into a movie theater and will buy bags of popcorn and
drinks. Each bag of popcorn costs $5.50 and each drink costs $6. Hunter has a total
of $80 to spend on bags of popcorn and drinks. Write an inequality that would
represent the possible values for the number of bags of popcorn purchased, b, and the
number of drinks purchased, d. Write in an inequality.
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
Guys helpppp please
Answer:
See below
Step-by-step explanation:
Anything with an ODD number of negatives makes a negative
A TWO negatives <<<<nope
B two negatives
C FIVE negatives <<<<< yep
D Three negatives <<<<<< yep
E Four negatives <<<<< nope
Remember ....a negative sign in front
- (6)(-4)(3) is just like (-1)(6)(-4)(3)