The formula in finding the maturity value is the following:
A = P (1 + r) ^t
Where A = Maturity value
P = principal amount
r = Annual percentage rate
t = time in years
Substituting the given amount to the formula:
A = $8,000 (1 + 6%) ^10
= $8,000 (1.7908)
= $14,326.40
Therefore, the amount of $8,000 after 10 years compounded annually at 6% is $14,326.40
Three of the angles of a quadrilateral are 120° 48° and 92° what is the size of the fourth angle
Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and all angles equal C. a combination of a rectangle and a trapezoid D. a 4-sided polygon with all angles equal
What similarity statement can you write relating the three triangles in the diagram ?
The similarity statement that can be written is;
D(RST) ~ D(RUS) ~D(SUT)Discussion:
The triangles as represented are right-angled triangles.
In essence, they all have one of their angles to be 90°.The similarity statement therefore involves the right-angles and is thus; D(RST) ~ D(RUS) ~D(SUT)Read more on similar triangles:
https://brainly.com/question/20453539
Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)
Three cards are drawn from a deck without replacement. what is the probability that all three cards are clubs?
Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.
To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.
Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.
First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:
a(x) = (x + 5) x (x + 3)
Now we will expand this to write it in standard form:
a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15
Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.
The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?
A)
1/8 ml
B)
1/2 ml
C)
7/29 ml
D)
1/4 ml
CAN I GET SOME HELP (RIGHT ANSWER)
A pitcher contains 3 1/2 pints of lemonade. Susan pours 5/8 of a pint into a glass, and Mateo pours 1/2 pint into a glass. How much lemonade is left in the pitcher?
which describes the correlation shown?
The correlation that is shown in the scatter plot is:
Strong positive.
Step-by-step explanation:From the scatter plot we see that with the increase of one variable the second variable also increases.
Hence, the association is positive.
Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.
Hence, the correlation is:
Strong positive.
( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)
Answer:
Option C) Strong positive
Step-by-step explanation:
Correlation
Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases.Looking at the graph it could be said that the variables are strongly positively correlated as with a small increase in one variable, the other variable increases.
It is not a perfect positive relation as change in one variable does not lead to equal change in other variable.
It cannot be negative relation as well.
A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
Answer:
V = 3.6 ft³Step-by-step explanation:
The formula of a volume of rectangular prism:
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=2\dfrac{2}{3}\ ft=\dfrac{(2)(3)+2}{3}\ ft=\dfrac{8}{3}\ dt\\\\w=1\dfrac{1}{8}\ ft=\dfrac{(1)(8)+1}{8}\ ft=\dfrac{9}{8}\ ft\\\\h=1\dfrac{1}{5}\ ft=\dfrac{(1)(5)+1}{5}\ ft=\dfrac{6}{5}\ ft[/tex]
Substitute:
[tex]V=\left(\dfrac{8}{3}\right)\left(\dfrac{9}{8}\right)\left(\dfrac{6}{5}\right)=\dfrac{432}{120}=3.6\ ft^3[/tex]
Answer:
3 3/5
Step-by-step explanation:
covert mixed fractions to improper fractions
2 2/3 becomes 8/3
1 1/8 becomes 9/8
1 1/5 become 6/5
then you multiply across will give you 432/120
since the numerator os greater than the demoninator, you have to divide 432
into 120 which then will give you 3 72/120. When you simplify the fraction the final answer is 3 3/5.
Which represents the solution set of 5(x+5)<85?
A.) x<12
B.) x>12
C.) x<16
D.) x>16
-1 + 5 * 6 is less than 29
A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches,and the bicycle wheel mkes 3 full rotations before stopping. How long is the trace of water on the floor?
Who topping covers more of the pizza 2/8 or 5/8
According to the south carolina department of mental health web site, for every 200 u.s. women, the average number who suffer from anorexia is one. a group of 600 u.s. women is randomly chosen. part (a) correct: your answer is correct. part (b) correct: your answer is correct. part (c) how many are expected to suffer from anorexia
Mike used a rectangular prism and two cubes to create a model bench for his class project as shown below.
What is the surface area of the model bench?
A. 850 sq in
B. 800 sq in
C. 750 sq in
D. 700 sq in
cody has $700 in a savings account that pays 4% simple interest how much will he have in one year
which least to greatest 125% 6/5 1.22
Final answer:
To compare the numbers 125%, 6/5, and 1.22, they were all converted to decimal form which revealed the least to greatest order as 1.22, 6/5, and 125%.
Explanation:
To arrange the numbers 125%, 6/5, and 1.22 from least to greatest, we first need to express all of them in the same format for an accurate comparison. Let's convert each number to a decimal:
125% as a decimal is 1.25 (since 100% is equal to 1, hence 125% is 1.25).6/5 as a decimal is 1.2 (6 divided by 5 equals 1.2).1.22 is already in decimal form.Now, we can easily compare:
1.226/5 (1.2)125% (1.25)The arrangement from least to greatest is 1.22, 6/5, 125%.
The perimeter of a rectangle is 80 feet. Find the demensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle.
-Show All Work!-
A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have
Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40
Ewan makes chess boards from wood. Each board has three different kinds of wood. He has five kinds of wood it is workshop maple, cherry walnut, Poplar and birch how many different types of chess board can he make?
Answer:
D.10
Step-by-step explanation:
Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?
A. 18
B. 30
C. 31
D. 48
A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?
The bill for the month is $87.50, including $40 for 600 minutes and $47.50 for 190 extra minutes.
To calculate the bill for the month, we need to consider the fixed monthly charge and the additional charge for the extra minutes used beyond the 600-minute limit.
Step 1: Calculate the additional minutes used beyond the 600-minute limit:
Total minutes used - Included minutes = Extra minutes
790 minutes - 600 minutes = 190 extra minutes
Step 2: Calculate the additional charge for the extra minutes:
Extra minutes × Additional charge per minute
190 minutes × $0.25/minute = $47.50
Step 3: Add the fixed monthly charge to the additional charge for the extra minutes:
Fixed monthly charge + Additional charge for extra minutes
$40 + $47.50 = $87.50
So, the bill for the month is $87.50.
One kilometer equals 0.62 miles. How many kilometers equal 16 miles? Round the answer to the nearest tenth. 2.6 kilometers
9.9 kilometers
25.8 kilometers
99.2 kilometers
Answer: 25.8 kilometers
Step-by-step explanation:
Given: One kilometer = 0.62 miles
Then, [tex]1\text{ mile}=\dfrac{1}{0.62}\text{ kilometers}[/tex]
Then to find the number of kilometers in 16 miles, we need to multiply 16 to [tex]\dfrac{1}{0.62}[/tex], we get
[tex]\text{ 16 miles =}16\times\dfrac{1}{0.62}=25.806451612\approx25.8\text{ kilometers}[/tex]
Hence, 25.8 kilometers equals to 16 miles.
Rules for multiplying and dividing by 1 and 0
Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?
Answer:
35 years
Step-by-step explanation:
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
3*10=30,
30+5=35
if a + b = -5 and x + y = -5, what is 6y + 6x - b - a
I need to collect data for this table please someone help