Answer:
12.56 miles
Step-by-step explanation:
[tex]l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{ 90 \degree}{360 \degree} \times 2 \times 3.14 \times 8 \\ \\ = \frac{ 1}{4} \times 16 \times 3.14 \\ \\ = 4 \times 3.14 \\ = 12.56 \: miles[/tex]
Hence, length of arc = 12.56 miles
The point Q lies on the segment PR.
Find the coordinates of Q so that the ratio of PQ to QR is 2:7
P(-22, 32)
R (5, -4)
Answer:
(-16,24)
Step-by-step explanation:
In this problem, we have segment PR, where the endpoins have coordinates
P (-22, 32)
R (5, -4)
We want to find point Q along the segment such that
PQ : QR = 2 : 7 (1)
We can write the coordinates of point Q as
[tex]Q(x_P,y_P)[/tex]
So we can now rewrite eq(1) for both the x- and y- variable:
[tex]\frac{x_Q-x_P}{x_R-x_Q}=\frac{2}{7}[/tex] (2)
[tex]\frac{y_Q-y_P}{y_R-y_Q}=\frac{2}{7}[/tex] (3)
We start by solving eq(2) to find the coordinate x of point Q:
[tex]7(x_Q-x_P) = 2(x_R-x_Q)\\7x_Q-7x_P=2x_R-2x_Q\\9x_Q=2x_R+7x_P\\x_Q=\frac{2x_R+7x_P}{9}=\frac{2(5)+7(-22)}{9}=-16[/tex]
While for the y-coordinate:
[tex]7(y_Q-y_P) = 2(y_R-y_Q)\\7y_Q-7y_P=2y_R-2y_Q\\9y_Q=2y_R+7y_P\\y_Q=\frac{2y_R+7y_P}{9}=\frac{2(-4)+7(32)}{9}=24[/tex]
So the coordinates of Q are (-16,24).
The coordinate of Q is [tex]Q=(-16,4)[/tex]
To understand more, check below explanation.
Section formula:To find the coordinate of Q, we use section formula,
[tex]Q=(\frac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}},\frac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}} )[/tex]
It is given that,
[tex](x_{1},y_{1})=(-22,32),(x_{2},y_{2})=(5,-4), m_{1}=2,m_{2}=7[/tex]
Substitute above values in above section formula,
[tex]Q=(\frac{(2*5)+(7*-22)}{2+7}, \frac{(2*32)+(7*-4)}{2+7})\\\\Q=(-\frac{144}{9} ,\frac{36}{9} )\\\\Q=(-16,4)[/tex]
Therefore, the coordinate of Q is [tex]Q=(-16,4)[/tex]
Learn more about the section formula here:
https://brainly.com/question/26433769
Rodrick worked at Jack-In-The-Box for 37.5 hours last week. His pay for the
week, before taxes was deducted, was $346.88. How much did he earn per hour?
Answer:
He earned $9.25
Step-by-step explanation:
First, you have to create an equation.
346.88= 37.5h
Then divide 346.88 by 37.5
You get 9.25=h
Rodrick earned $9.25 per hour.
Rodrick earned approximately $9.25 per hour.
Explanation:To find out how much Rodrick earns per hour, we need to divide his total pay by the number of hours worked. In this case, Rodrick worked for 37.5 hours and earned $346.88. So, to find his earnings per hour, we divide $346.88 by 37.5:
Earnings per hour = Total pay / Number of hours
Earnings per hour = $346.88 / 37.5
Earnings per hour ≈ $9.25
Therefore, Rodrick earned approximately $9.25 per hour.
Learn more about Calculating hourly earnings here:https://brainly.com/question/31627828
#SPJ2
what is the sope of (5,9) and (4,11)
Answer:
The answer to your question is slope = -2
Step-by-step explanation:
Data
A = (5, 9)
B = (4, 11)
slope = m = ?
Slope means the steepness of a line.
Process
1.- Write the formula to calculate the slope
m = (y2 - y1) / (x2 - x1)
x1 = 5 y1 = 9 x2 = 4 y2 = 11
2.- Substitution
m = (11 - 9) / (4 - 5)
3.- Simplification
m = 2/-1
4.- Result
m = -2
Anyone help me wiv this question please
Answer:
A: 8x-12
B: 5(n+3)
Step-by-step explanation:
A) Distribute 4 to the numbers inside the parenthesis.
4 x 2x= 8x
4 x -3= -12
8x-12
B) 5 is divisible to 15, so you can divide it with both numbers.
5/5=1
15/5=5
5(n+3)
Answer:
first one is 4×2x-4×3 while the second is 5(n+3)
Step-by-step explanation:
you needed to expand letter a. and simplify letter b.
Cruz is training to compete in a triathlon. He left his house at 6 : 00 and ran until 7 : 30 . Then he rode his bike until 9 : 45 . He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz's biking and running speeds
Final answer:
Cruz's running speed is 10 mph, and his biking speed is 16 mph, which we found by setting up an equation representing the total distance he covered and the time spent on each activity at their respective speeds.
Explanation:
To determine Cruz's biking and running speeds, we can use the information given about the total distance and the ratio of his speeds. The information tells us that Cruz ran for 1.5 hours (from 6:00 to 7:30) and biked for 2.25 hours (from 7:30 to 9:45). If we let r represent his running speed, then his biking speed would be 1.6r because it's said to be 1.6 times his running speed.
Cruz's total running distance would then be r × 1.5 hours, and his biking distance would be 1.6r × 2.25 hours. We know that the total distance covered is 51 miles, so we can set up the following equation:
1.5r + 1.6r × 2.25 = 51
Now, solve for r:
1.5r + 3.6r = 51
5.1r = 51
r = 51 / 5.1
r = 10 miles per hour
Therefore, Cruz's running speed is 10 mph, and his biking speed is:
1.6 × 10 mph = 16 mph
Cruz's running speed is 10 mph, and his biking speed is 16 mph.
The average yearly Medicare hospital insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to four decimal places and intermediate Z value calculations to two decimal places.
To find the probability that the mean benefit for a random sample of 25 patients is less than $3920, we calculate the z-score and use the z-table to find the probability. The probability is approximately 0.0749, or 7.49%.
To find the probability that the mean benefit for a random sample of 25 patients is more than $4230, we follow the same steps and find that the probability is approximately 0.0179, or 1.79%.
To find the probability that the mean benefit for a random sample of 25 patients is less than $3920, we need to use the standard deviation and the sample size. The formula we'll use is:
Z = (X - μ) / (σ / sqrt(n))
Where Z is the z-score, X is the value we're interested in, μ is the mean, σ is the standard deviation, and n is the sample size.
First, let's calculate the z-score:Z = (3920 - 4064) / (460 / sqrt(25))
Z = -1.44
Next, we'll look up the z-score in the z-table to find the probability:P(X < 3920) = P(Z < -1.44)
Using the z-table, we find that the probability is approximately 0.0749, or 7.49%.For the second part of the question, we want to find the probability that the mean benefit for a random sample of 25 patients is more than $4230. We can use the same formula:Z = (4230 - 4064) / (460 / sqrt(25))
Z = 2.13
P(X > 4230) = P(Z > 2.13)
Using the z-table, we find that the probability is approximately 0.0179, or 1.79%.
The probable question may be:
The average yearly Medicare hospital insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to four decimal places and intermediate Z value calculations to two decimal places.
Find the probability that the mean benefit for a random sample of 25 patients is less than $3920
P(X <3920) =
Find the probability that the mean benefit for a random sample of 25 patients is more than $4230
P (X> 4230) =
Average yearly Medicare hospital insurance benefits below $4500: z-score ≈ 0.95, probability ≈ 0.8289. About 82.89% benefits fall below this threshold.
let's break down the steps to solve this problem:
Given:
- Average yearly Medicare hospital insurance benefit [tex](\( \mu \))[/tex] = $4064
- Standard deviation[tex](\( \sigma \))[/tex] = $460
We are asked to find the probability of Medicare hospital insurance benefits being below a certain value, which requires calculating the z-score.
Step 1: Calculate the z-scoreThe z-score formula is given by:
[tex]\[ z = \frac{{X - \mu}}{{\sigma}} \][/tex]
Where:
- ( X ) is the value we want to find the probability for,
[tex]- \( \mu \)[/tex] is the mean,
[tex]- \( \sigma \)[/tex] is the standard deviation.
Let's say we want to find the probability for Medicare hospital insurance benefits below $4500. Substituting the values into the formula:
[tex]\[ z = \frac{{4500 - 4064}}{{460}} \][/tex]
[tex]\[ z = \frac{{436}}{{460}} \][/tex]
[tex]\[ z \approx 0.95 \][/tex]
Step 2: Find the probability using the standard normal distribution tableNow, we need to find the probability corresponding to the z-score we calculated. We can use a standard normal distribution table or a calculator for this purpose. The z-score of 0.95 corresponds to a probability of approximately 0.8289.
Step 3: InterpretationThis means that approximately 82.89% of Medicare hospital insurance benefits are below $4500.
Final AnswerThe probability of Medicare hospital insurance benefits being below $4500 is approximately 0.8289 or 82.89%.
Determine the solutions of the equation. What solution
makes sense for the situation?
A rectangle has a length that is 5 inches greater than its
width, and its area is 104 square inches. The equation (x
+5)x = 104 represents the situation, where x represents
the width of the rectangle.
(x + 5)x = 104
x2 + 5x - 104 = 0
What are the dimensions of the rectangle?
width=
inches
length =
inches
5) Intro
Answer: x=8
Width=8 inches
Length=13 inches
Final answer:
The width of the rectangle is 8 inches and the length is 13 inches, as determined by solving the quadratic equation representing the area of the rectangle.
Explanation:
To solve for the dimensions of the rectangle, we need to find the value of x, which represents the width of the rectangle. The quadratic equation we have is x² + 5x - 104 = 0.
Factoring this equation, we are looking for two numbers that multiply to -104 and add to 5.
These numbers are 13 and -8, so the equation factors to (x + 13)(x - 8) = 0. Setting each factor equal to zero gives us two possible solutions for x: x = -13 or x = 8.
Since a width cannot be negative, the only sensible solution for this problem is x = 8 inches. Given that the length is 5 inches more than the width, the length will be 8 inches + 5 inches = 13 inches.
Dimensions of the rectangle:
Width = 8 inches
Length = 13 inches
Laura deposited $4,000 in her new bank account. The bank pays 7.25% simple interest every year. What will be the balance of her account at the end of 3 years, if she make no additional deposits or withdrawals?
Answer:
The balance of Laura's account at the end of 3 years will be $4,870.
Step-by-step explanation:
Formula of simple interest:
[tex]I[/tex]=Prt
[tex]I[/tex] = simple interest
P= Principal
r = rate of interest
t= time in year.
Amount after t years (A)= P+[tex]I[/tex].
Given that,
Laura deposits $4,000 at a rate 7.25% simple interest.
Here, P=$4,000, r=7.25%= 0.0725, t=3 years
[tex]I[/tex]=Prt
=$(4,000×0.0725×3)
=$870
The balance of Laura's account at the end of 3 years will be =$(4,000+870)
=$4,870
a cinema has three screens.
last Saturday there were 500 visitors.
40% went to screen 1
25% went to screen 2
the rest went to screen 3
workout how many visitors attended each screen
Answer:
200 are on screen 1
125 are on screen 2
175 went to screen 3
Step-by-step explanation:
10% is 50 so 50 x 4 =200
25% of 500 is 12, divide 500 by 4
35% is 25% + 10% = 125 + 50 = 175
Solve the system of equations y=x^2-3x+2
y=-9x-3
To solve the system of equations y=x^2-3x+2 and y=-9x-3, set them equal and solve the resulting quadratic equation using the quadratic formula to obtain the solutions for x; then substitute back to find y.
Explanation:To solve the system of equations given by y = x2 - 3x + 2 and y = -9x - 3, we must find the values of x and y that satisfy both equations simultaneously. Since both expressions are equal to y, we can set them equal to each other to find the x-values that satisfy both equations:
x2 - 3x + 2 = -9x - 3
Rearrange the equation by adding 9x and 3 to both sides:
x2 + 6x - 1 = 0
This is a quadratic equation, which we can solve by factoring, completing the square, or using the quadratic formula. In this case, factoring is not straightforward, so we may opt for the quadratic formula:
x = (-b ± √(b2 - 4ac)) / (2a)
Here, a = 1, b = 6, and c = -1. Plugging these into the quadratic formula gives us:
x = (-6 ± √(36 + 4)) / 2
x = (-6 ± √(40)) / 2
x = (-6 ± 2√(10)) / 2
x = -3 ± √(10)
So the solutions for x are x = -3 + √(10) and x = -3 - √(10). To find the corresponding y-values, substitute these x-values back into either of the original equations.
The solution to the system of equations is:
(x, y) = (-1, 6) and (-5, 42)
To solve the system of equations:
1. Substitute the expression for y from the second equation into the first equation. This gives us:
x^2 - 3x + 2 = -9x - 3
2. Rearrange the equation to bring all terms to one side, setting the equation equal to zero:
x^2 - 3x + 9x + 2 + 3 = 0
x^2 + 6x + 5 = 0
3. Factor the quadratic equation:
(x + 1)(x + 5) = 0
4. Apply the zero product property to find the values of x that satisfy the equation:
x + 1 = 0 or x + 5 = 0
x = -1 or x = -5
5. Substitute these values of x back into either equation to find the corresponding values of y. Let's use the second equation:
For x = -1:
y = -9(-1) - 3 = 9 - 3 = 6
For x = -5:
y = -9(-5) - 3 = 45 - 3 = 42
Therefore, the solution to the system of equations is:
(x, y) = (-1, 6) and (-5, 42)
A walffle cone has a height of 7 inches and a diameter of 3 inches. What is the volume of ice cram that can be contained within the cone. Use 3.14 for pi. Round to the nearest hundreth
Answer:
16.49 cubic inches.
Step-by-step explanation:
Given:
A waffle cone has a height of 7 inches and a diameter of 3 inches.
Question asked:
What is the volume of ice cram that can be contained within the cone?
Solution:
First of we will find the radius ;-
Diameter = 3 inches
Radius, r = [tex]\frac{Diameter}{2} =\frac{3}{2} =1.5\ inches[/tex]
As we know:
[tex]Volume\ of\ cone=\frac{1}{3} \pi r^{2} h[/tex]
[tex]=\frac{1}{3} \times3.14\times1.5\times1.5\times7\\ \\ =\frac{49.455}{3} \\ \\ =16.485[/tex]
Thus, volume of ice cream will be 16.49 cubic inches.
So I am doing Zero and Negative Exponents in geometry and I am confused on whether (5.5)^0 is undefined or equal to 1. How do I know which one it is when doing the math for this problem?
Anything to the power of zero should always equal 1.
There shouldn't be any reason why it will be undefined.
what is the vertex of h(x)=-2x^2+8x
Answer: (2,8)
Step-by-step explanation:
Answer:
deeznuts
Step-by-step explanation:
A soccer ball is kicked in the air and follow the path h(x)=2x2+1x+6, where x is the time in seconds and h is the height of the soccer ball. At what time will the soccer ball hit the ground?
Answer:
You can either factor or use quadratic formula to find where h(x)=0
Step-by-step explanation:
Remember that the ball is on the ground when h(x)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.
Need this quick!!
Find the sum.
7х+ 15х=
A. 21x
B. 21x^2
C. 22x
D. 22x^2
Answer:
C. 22x
Step-by-step explanation:
7x+15x=22x
Answer:
C. 22x
Step-by-step explanation:
7x + 15x = 22x
You simply need to add 7 and 15 and you get 22x.
Paula weeded 40% of her garden in 8 minutes. How many minutes will it take her to weed all of her garden? Part A Let m = the number of minutes it will take Paula to weed all of the garden. Choose the equation that can be used to find the solution to the problem.
Answer:
20 minutes
Step-by-step explanation:
40% = 8 minutes
40% x 2.5 = 100%
8 minutes x 2.5 = 20 minutes
Answer:
8m = 0.4
Step-by-step explanation:
I think thats the equation you are looking for. or i may be late to answer this question.
The temperature increases from 18 F to 27 F. What is the percent increase of the temperature ?
Answer:
Step-by-step explanation:
This is an increase of 9
Or, as a percentage (rounded to two decimal places):
an increase of 50%
Can 12,18,30 be a right triangle
Answer:
no
Step-by-step explanation:
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple. The simplest Pythagorean triple is the set “3, 4, 5.” These numbers are the lengths of the sides of a “3-4-5” Pythagorean right triangle. The list below contains all of the Pythagorean triples in which no number is greater than 50.
3, 4, 5
5, 12, 13 6, 8, 10
7, 24, 25 8, 15, 17 9, 12, 15 9, 40, 41 10, 24, 26 12, 16, 20 12, 35, 37
14, 48, 50 15, 20, 25 15, 36, 39 16, 30, 34 18, 24, 30 20, 21, 29 21, 28, 35 24, 32, 40 27, 36, 45 30, 40, 50
Example Problems
Find the length of the missing side.
13 25 x7
12 x
From the list above, the missing From the list above, the missing side is “5” side is “24”
Show why the set “6,8,10” is a Pythagorean triple.
c2 = a2 + b2 102 =82 +62 100 = 64 + 36 100 = 100
Since the Pythagorean equation is satisfied, the set “6,8,10” is a Pythagorean triple.
Answer:
NO.
Step-by-step explanation:
By the Pythagoras theorem if 30^2 = 12^2 + 18^2 it is a right triangle.
30^2 = 900
12^2 = 144
18^2 = 324
Adding 12^2 + 18^2 = 468 so the answer is no.
All possible outcomes for flipping a coin three times are listed below: (H = heads up, T = tails up) {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT} What is the probability of obtaining at least 1 heads?
Answer:
7 out of 8
Step-by-step explanation:
From a class of twenty students, how many different ways can the 1 , 2 , and 3rd students be chosen?
Answer:
They can be chosen in 6,840 different ways
Step-by-step explanation:
In this question, we are tasked with calculating the number of ways in which the 1st, 2nd and 3rd students can be chosen.
For the first position, we have 20 people vying for the position and we are to select only one for the position.
The number of ways this is achievable is 20C1 ways = 20 ways
For the second position, we are left with 19 students vying for the position and we are to select only one for the position. The number of ways this is possible is 19C1 ways = 19 ways
For the third position, we are left with 18 students vying for the position. The number of ways this is possible is 18C1 ways = 18 ways
Thus, the total number of ways this cane be done is; 20 ×19 ×18 = 6,840 ways
round to 3 decimal places for the final answer
A function is defined by f (x) = 3 x + 1. What is f(10)?
- 11
- 14
- 31
- 311
Answer:
31
Step-by-step explanation:
The function given in this problem is described by the expression
[tex]f(x)=3x+1[/tex]
In this problem, we want to find
[tex]f(10)[/tex]
Which means that we want to evaluate the function when the value of x is 10, so when
[tex]x=10[/tex]
To solve the problem, we just need to substitute x = 10 into the expression of f(x). By doing so, we find:
[tex]f(10)=3\cdot 10 +1 = 30+1 = 31[/tex]
Therefore, the correct option is
31
Answer:
31
Step-by-step explanation:
In order to answer the following question, please use the following image down below:
Find the value of x.
X=(Blank)
What is the value of X? Please show all the work on how you got your answer.
(If you can't explain your work, then it's fine. The only thing that I'm asking for is for you to show the work alongside your answer)
Answer:
30
Step-by-step explanation:
x(45) = 27(50) -->
45x = 1350 -->
x = 30
Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams. Three players in each team how many different ways can they be put into two teams of three players
Answer:
[tex]20[/tex]
Step-by-step explanation:
GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.
TO FIND: how many different ways can they be put into two teams of three players.
SOLUTION:
Total number of players [tex]=6[/tex]
total teams to be formed [tex]=2[/tex]
total players in one team [tex]=3[/tex]
we have to number of ways of selecting [tex]3[/tex] players for one team, rest [tex]3[/tex] will go in other team.
Total number of ways of selecting [tex]3[/tex] players [tex]=^6C_3[/tex]
[tex]=\frac{6!}{3!3!}[/tex]
[tex]=20[/tex]
Hence total number of different ways in which they can be put into two different teams is [tex]6[/tex]
When constructing a circumcircle of a right triangle, Hunter said that the diameter of the circle will be the hypotenuse of the triangle. Daniel said the circumcenter would be located inside the triangle and they hypotenuse would just be a chord, not the diameter? Who is correct?
Answer:
hunter
Step-by-step explanation:
Final answer:
Hunter is correct that the hypotenuse of a right triangle acts as the diameter of its circumcircle, with the circumcenter located at the midpoint of the hypotenuse.
Explanation:
When constructing a circumcircle of a right triangle, Hunter's assertion is correct. According to a well-known theorem, the hypotenuse of a right triangle will be the diameter of the circumcircle that can be drawn around the triangle. This is because the center of the circumcircle, known as the circumcenter, is equidistant from all vertices of the triangle, and for a right triangle, this point is the midpoint of the hypotenuse.
Since the circumcenter is the midpoint of the hypotenuse, and the hypotenuse is the longest side of a right triangle, it will also serve as the diameter of the circumcircle. The radius of the circle, therefore, extends from this midpoint to any of the triangle’s vertices. Daniel's statement that the circumcenter would be located inside the triangle is incorrect for a right triangle, though it might be true for acute or obtuse triangles.
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answer:
the first and 5th
Step-by-step explanation:
this is right
a) The difference in the distances the boys ran, so this is a subtraction problem
d) The equation is s - 2.3 = 6.8
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the distance ran be Dean be represented as d
Let the distance ran be Sam be represented as s
And , Dean ran 2.3 fewer kilometers than Sam
So , difference in the distances the boys ran, so this is a subtraction problem
On simplifying , we get
s - 2.3 = d be equation (1)
And , when d = 6.8 km
s - 2.3 = 6.8
Adding 2.3 km on both sides of the equation , we get
s = 9.1 km
Therefore , the value of s is 9.1 km
Hence , the distance ran be Sam is 9.1 km
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ3
Compute the amount in an account after 8 yr if $6500 is invested at an annual interest rate of 5.25% compounded quarterly. Round to two decimal places.
Answer:
$9865.76¢
Step-by-step explanation:
Please kindly check the attached file for explanation.
Using compound interest, it is found that the amount in the account is of $9,865.76.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
$6500 is invested, thus [tex]P = 6500[/tex]8 years, thus [tex]t = 8[/tex]Interest rate of 5.25%, thus [tex]r = 0.0525[/tex].Compounded quarterly, thus [tex]n = 4[/tex].The amount in the equation is:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(8) = 6500(1 + \frac{0.0525}{4})^{32}[/tex]
[tex]A(8) = 9865.76[/tex]
The amount is of $9,865.76.
A similar problem is given at https://brainly.com/question/24507395
mxtb graph equation. help needed
Answer:
y = 6x
Step-by-step explanation:
Using [tex]\frac{rise}{run}[/tex] formula,
[tex]\frac{6}{1}[/tex] is the rise and run
This equals 6.
Hope this helps.
I need help answering this
Answer: AB=5.66, AC=4
Step-by-step explanation:
So this triangle is a 45-45-90 triangle, meaning it has one 90 degree angle and two 45 degree angles.
If you remember from geometry, the sides that have the same angle have the same length, and seeing as angle A is 45 degrees and side BC is 4, we can know for certain that angle B is 45 degrees and side AC is also 4.
This is because angle C is already marked as the 90 degree angle due to the square symbol in it.
Now to find side AB, we would use our friend the Pythagorean Theorem, which states that [tex]a^2+b^2=c^2[/tex].
Let a = side BC and b = side AC, meaning c = side AB.
Now plug in the values and solve:
[tex]4^2+4^2=c^2[/tex]
[tex]32=c^2[/tex]
[tex]\sqrt{32} =\sqrt{c^2}[/tex]
[tex]5.65685=c[/tex]
I need to know what rule represents the enlargement of a figure
Answer:
The correct option is;
(x, y) → (215·x, 215·y)
Step-by-step explanation:
An enlargement is a form of transformation involving an alteration of the size of the shape. When a shape is to be enlarged, the center of the shape is noted and the enlargement of the dimensions of the shape from that center is by multiplication of each point by the factor of the enlargement or the scale factor.
Therefore, based on the requirement for enlargement, and given the dimension of the point from the center as (x, y) the enlargement then is (215·x, 215·y), where 215 is the scale factor.
Answer:
A. (x, y) → (215x, 215y)
Step-by-step explanation:
Enlargement of a figure is the process of increasing the size of a given figure by the use of a scale. It requires the use of a scale factor that is greater than 1 to form an image. This is called dilation in transformation.
Transformation is the process of manipulating the size or orientation of a figure. To enlarge a shape, a center of enlargement is required.
Thus, the rule that signifies enlargement of a figure is ;
(x, y) → (215x, 215y)
This implies multiplying the initial coordinate x and y by a factor of 215 to produce a required size of an image.