Answer:
1119.42
Step-by-step explanation:
Final answer:
Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.
Explanation:
Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:
Calculate the compounded amount of the CD after 4.5 years since it is compounded quarterly.Calculate the interest for 3 months (1 quarter).Subtract the 3 months' interest from the total compounded amount to account for the early redemption fee.The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for, in years.For this problem:
P = $1000r = 0.025 (2.5% annual interest rate)n = 4 (compounded quarterly)t = 4.5 years (since we are calculating for 3 months before the 5 years)Let's calculate:
A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64
Now we calculate the 3 months' interest which is essentially the interest for one quarter:
Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)
We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:
A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12
Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48
Finally, subtracting the early redemption fee:
Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16
The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.
This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 255° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels in inches in terms of pi? How many feet is this in terms of pi?
Using the relation between arc length and the radius, the arc length covered by the bat tip for a swing of 255 degrees with a 48-inch radius bat is (85/6)π inches or (85/72)π feet.
Explanation:The subject of the question is based in mathematics, specifically geometry. To solve the question, first, we have to know that the circumference (C) of a given circle is calculated as
2πr
, where 'r' is the radius. Since 255° is a portion of the total circumference (which is considered as 360°), we calculate the fraction of the total circumference covered by 255°, which is 255/360. The arc covered by Janis's bat swing is, therefore,
(255/360)*2πr
. Substituting 'r' with 48 inches, the arc length (As) comes to
(85/6)π inches
. To convert this to feet, divide the result by 12 (since there are 12 inches in one foot), which gives
(85/72)π feet
.
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Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15
27x+3=6
Whats is x in that problem
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.
Explanation:To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.
Subtract 3 from both sides: 27x + 3 - 3 = 6 - 3Simplify: 27x = 3Divide both sides by 27: x = 3 / 27Simplify the fraction: x = 1/9Therefore, the solution to the equation is x = 1/9.
Which linear equation represents the data given in the table?
The linear equation represents the data given in the table is option D.
calculation:Here we used the elimination process. From the table of values, we can see that the y-intercept is -3 from the point (0,-3)Now y = mx+b where b= the y-interceptAnd option D represent the only equation where b = -3.Find out more information about the equation here: https://brainly.com/question/2263981?referrer=searchResults
10–{12–[(−9)+(−1)]} answer ASAP please
Answer:
-12
Step-by-step explanation:
-9+(-1) is -10. 12-(-10) is 22. 10-22= -12
How many triangles can you construct with two 4-inch sides and an 80 degree angle?
Answer:
2
Step-by-step explanation:
The 80° angle can be between the two given sides, or opposite one of them. These are the only two possibilities.
". Which of the following sentences does not represent a function?
A. Notebooks are sold in a four pack for $20
and a five pack for $25.
B. Shaunette charges $20 for one hour of
babysitting and $40 for two hours.
C. Marcy drove 50 miles in one hour today
and 100 miles in two hours yesterday.
D. Timon chewed six gumballs in two hours
today and six gumballs in three hours
yesterday
To be a function, each input must correspond to exactly one output. In all cases except for Timon's gumballs, each distinct input yields a distinct output. Therefore, the sentence about Timon's gumballs does not represent a function.
Explanation:In mathematical terms, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let's go through these situations separately:
Notebooks are sold in a four pack for $20 and a five pack for $25. Here, the input, or the number of notebooks, determines the output, or price. No two outputs are the same for any given input. This is a function.Shaunette charges $20 for one hour of babysitting and $40 for two hours. The input (hours) determines the output (price). Similar to the first example, no two outputs are the same for any one input. This is a function.Marcy drove 50 miles in one hour today and 100 miles in two hours yesterday. The input (time) determines the output (distance traveled). There is a unique output for each input. This is a function.Timon chewed six gumballs in two hours today and six gumballs in three hours yesterday. This time, for different inputs (different hours), the output (number of gumballs chewed) is the same. This does not comply with the definition of a function because a function should have a unique output for each input. Therefore, this sentence does not represent a function.Learn more about Functions here:https://brainly.com/question/35114770
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Free Brainiest Fellows
A triangle has 2 angles that each measure 81°.
What kind of triangle is it?
A.
isosceles triangle
B.
equiangular triangle
C.
obtuse triangle
D.
right triangle
Answer:
Explanation: An isosceles triangle is a triangle in which two of the three sides are the same length, or two of the three angles are the same degree.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If 2 angles are congruent, then it is an isosceles triangle (ALWAYS)
Tickets to a spring concert are $5.00 for students and $8.00 for adults. 250 tickets to the concert were sold for a total of $1550. How many tickets adult tickets and how many student tickets were sold?
Answer:
100 adult tickets
150 students tickets
Step-by-step explanation:
First, construct an equation that relates the tickets.
For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.
For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.
[tex]5x+8y=1550\\x+y=250\\[/tex]
Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.
[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]
We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.
[tex]x+y=250\\x+100=250\\x=150[/tex]
As a result we have 100 adult tickets and 150 student tickets.
Hope this helps!! <3
Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?
Answer:
24 cups
Step-by-step explanation:
1st hours = 9 cups
2nd hour = 5 cups
3rd hour = 5 cups
4th hour = 5 cups
9 + 5 + 5 + 5 = 24 cups
Find all values of x in 17/x-12/x-12/(x-1)2
Answer:
Step-by-step explanation:
To solve
17/x-12/x-12/2(x-1)
5/x-12/2x-2
The LCM of x and 2x-2 is x and 2x-2
5(2x-2)-12x/x(2x-2)
10x-10-12x/x(2x-2)
To collect like in numerator
-2x-10/x(2x-2)
Identify the type of function.
y = (x-5)(x-2)
Which is the angle of rotational symmetry for the isosceles trapezoid?
Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .
Given, rotational symmetry for isosceles trapezoid .
The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.
If the other two sides are also of same length then the figure is said to be isosceles trapezoid .
There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.
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Describe the difference between an angle with a positive measure and an angle with a negative measure.
Answer:
negative is rotating counter clockwise and positive is straight
Step-by-step explanation:
positive 180 degresse rotation
Positive angles result from counterclockwise rotation, and negative angles result from clockwise rotation.
What are angles?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.
The difference between the positive and negative angles :-
Angles are sometimes classified based on whether their values are more than or less than 0° into positive and negative angles. The measure of a positive or a negative angle depends on the amount of rotation between the two sides forming the angle. The rotation is measured from the initial side to the terminal side of the angle.
What is a Positive Angle :-
An angle formed by an anti-clock wise or counterclockwise rotation from its initial side is called a positive angle.
12°, 33°, 90°, 180°, 360° are all example of positive angles.
What is a Negative Angle :-
An angle formed by a clockwise rotation from its initial side is called a negative angle.
-9°, -45°, -110°, -280°, -310° are all example of negative angles.
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Bobby and his family went to the playground. The slide is 13
feet long. The end of the slide is 7 feet away from the stairs. The
stairs extend 2 feet higher than the end of the slide. How tall are
the stairs?
Answer:
it would be close to 12 ft im not 100% sure though the measurements are a little off
Step-by-step explanation:
hypotenuse is 13
then you have the adjacent = 7
13^2 = 169
7^2= 49
169-49=120
the square root of 121 is 11 wich is fairly close to 120(doesnt have one because its not exact)
there is two extra feet so 11 +2 is 13 but there was a little less then 11 so i had sid roughly around 12
brainliest, please???
The total height of the stairs can be found by adding the distance from the ground to the end of the slide (7 feet) and the extra height of the stairs (2 feet). This adds up to a total height of 9 feet for the stairs.
Explanation:The subject of the question is Mathematics, and it's suitable for a Middle School level. The problem can be solved using basic addition, and the concept of distance and height.
First, identify the length of the slide, which is 13 feet. Next, you're told that the end of the slide is 7 feet away from the stairs. This distance represents the height from the ground to the end of the slide. Lastly, you're told that the stairs extend 2 feet higher than the end of the slide.
Add these two distances together. So, the total height of the stairs is 7 feet (height to end of slide) plus 2 feet (additional height of stairs) equaling 9 feet.
So, the stairs are 9 feet tall.
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The radius of a circle is 620cm what is the diameter of this circle
Answer:
1240 cm
Step-by-step explanation:
Diameter = 2 * radius
The radius is 620, making the diameter 620 * 2 = 1240
Ted and Katie have served up a total of $94 Tata saved six dollars less than four times as much is Katie how much has Katie saved
Answer:
Katie saved $20.
Step-by-step explanation:
I assume that "served" is a typo for "saved". Also, I assume that Tata and Ted are the same person.
Let the amount Katie saved = k
Then, ted saved $6 less than 4 times k, or 4k - 6.
The total saved by both is k + 4k - 6.
The total saved by both is $94.
k + 4k - 6 = 94
5k - 6 = 94
5k = 100
k = 20
Answer: Katie saved $20.
Final answer:
To determine the amount Katie has saved, two equations were set up based on the given information. The equations were solved simultaneously to find that Katie has saved $20.
Explanation:
Let's denote the amount Katie has saved as K and the amount Tata has saved as T. According to the problem, Tata saved six dollars less than four times as much as Katie, which we can write as T = 4K - 6. Additionally, we know that together they have saved a total of $94, so we can express this as K + T = 94. Substituting the expression for T from the first equation into the second equation, we get K + (4K - 6) = 94. Simplifying this, we get 5K - 6 = 94. By adding 6 to both sides, we obtain 5K = 100, and dividing by 5, we find that K = 20. Therefore, Katie has saved $20.
A right triangular pyramid has a height of 10 inches and a base area of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?
The volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
What is a right triangular pyramid?A right triangular pyramid is simply a triangular pyramid which has an equilateral base, and whose top is directly above the base's centroid.
The volume of right triangular pyramid is expressed as;
V = 1/3 × b² × h
where b is the length of the base and h is the perpendicular height.
Given the data in the question;
Height of the pyramid h = 10in Base area A = 41.57in²First we find the dimension of the base length.
Since area square is A = b².
Hence;
41.57in² = b²
b = √41.57in²
b = 6.447in
Now, we substitute our values into the expression above.
V = 1/3 × b² × h
V = 1/3 × (6.447in)² × 10in
V = 1/3 × 41.563809in² × 10in
V = 138.5in³
Therefore, the volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
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Identify the location of the values used to create a box
plot
A= B=
C=
D =
E =
Answer:A= minimum value
B=lower quartile
C=median
D= upper quartile
E= maxuim value
Step-by-step explanation:
Final answer:
A box plot displays the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum. It provides insights into the data's distribution, potential outliers, and comparisons of data sets.
Explanation:
The student's question involves the creation and interpretation of a box plot, which is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. To graph a box-and-whisker plot for the given data values, one must first calculate the five-number summary:
Minimum (A): The smallest data value.First quartile (B): The median of the lower half of the data set. This marks the 25th percentile, meaning 25% of the data fall below this value.Median (C): The middle value of the dataset when ordered from least to greatest, which also splits the data into two halves.Third quartile (D): The median of the upper half of the data set. This marks the 75th percentile, so 75% of the data fall below this value.Maximum (E): The largest data value.Once these values are determined, one can create a box plot where the box represents the interquartile range (IQR), stretching from Q1 to Q3, with a line at the median (C). Whiskers extend from the box to the minimum (A) and maximum (E) values. Analyzing the box plot can give insights into the data set, such as the distribution of the data, any potential outliers, and the comparison of different data sets.
Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 99.5 or 445.5?
Answer:
the answer is 445.5
Step-by-step explanation:
what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5
HELP PLS 30) PTS
--------
Calculate the bases of the trapezoid.
The diagonal of the trapezoid divides the central section into parts, one of which makes up 62.5% of the other . Find the bases when the middle section is 26 cm.
The answer . The longer base of the trapeze is__ cm and shorter__ cm.
Answer:
32 ; 20
Step-by-step explanation:
Middle section: 26
Sum of parallel lengths: 2 × 26 = 52
Ratio of the sides:
100% : 62.5%
8 : 5
5/(8+5) × 52
20
8/(8+5) × 52
32
-48 ÷ [-3 (2 - 4) ] = ?
Answer:
The answer is -8
Step-by-step explanation:
By the way, is that Lucy Heartfilia? :D
Which number is not in scientific notation?
Answer:
There are no answer choices
Step-by-step explanation:
I am sorry!
Answer:
What number?
Step-by-step explanation:
Sophia wanted to knit a scarf 1 meters long. On Monday, she knit
of the length. On Tuesday, she knit another 45 centimeters.
What fraction of the scarf did she knit altogether?
She knit 1/4 of the total length of the scarf on monday
Answer:
She knit 7/10 of the scarf altogether
Step-by-step explanation:
Please see the attached file for explanation
Juanita is booking a 4-night stay at a hotel. The rate is $79 per room plus tax.
If state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
Final answer:
To determine the total lodging cost for Juanita's 4-night stay, multiply the nightly rate by the number of nights to get the pre-tax cost, calculate the total tax rate and apply it to the pre-tax cost to find the tax amount, and then add this tax to the pre-tax cost for the total cost. The total lodging cost, including taxes, will be $344.44.
Explanation:
Juanita is trying to calculate the total cost of a 4-night stay at a hotel with a nightly rate and additional taxes. To find Juanita's total lodging cost, a multi-step calculation is required. First, calculate the cost before tax by multiplying the nightly rate by the number of nights. Then, calculate the total tax by adding the state, city, and municipal tax rates and applying this sum to the pre-tax cost to get the total tax amount. Finally, add the tax amount to the pre-tax cost to find the total cost of the stay.
The nightly rate is $79 and she is staying for 4 nights, so the initial cost (before tax) is calculated as follows:
79 x 4 = $316
To calculate the total tax, convert the percentages to decimals and sum them up as follows:
State tax (6%) = 0.06
City tax (2%) = 0.02
Municipal tax (1%) = 0.01
Total tax rate = 0.06 + 0.02 + 0.01 = 0.09
Multiply the total tax rate by the pre-tax cost to find the total tax amount:
0.09 x 316 = $28.44
Finally, add the tax amount to the pre-tax cost to get the total lodging cost:
316 + 28.44 = $344.44
The total cost for Juanita's 4-night stay at the hotel, including all taxes, is $344.44.
A coat is marked down 40% off the original price. If the
original price was S115.00, what is the sale price of the
coat before sales tax?
Answer:
$69.00
Step-by-step explanation:
Hi there,
In order to solve this problem, I used this formula:
Dollar Markdown = (markdown %)(original price)
You will end up with Markdown = (0.4) (115).
(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))
After multiplying, we find that 46 dollars is 40% of the original price.
For the final step, simply subtract the original price by the amount marked down to get $69.00.
Hope this was useful. Cheers.
What is a surface area?
Answer:
D
Step-by-step explanation:
in order to find the surface area, you have to add all of the surface area of the figure
What is 8+7times15 so what is it tell me now
The graph of which function is decreasing over the interval (–4, ∞)?
Step-by-step explanation:
ok, logic
all of them are parabolas
1st and 3rd are opening up, so they defenitely increase, so no
decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4
Answer:
B
Step-by-step explanation:
What is the volume of the composite figure? Leave the
answer in terms of .
Tot mm
5 mm
3 mm
Answer:
It is 33 on edge 21.
Step-by-step explanation:
trust me :)