Answer:
The answer is 1.5
Step-by-step explanation:
Answer: 40 cents per pound
Step-by-step explanation:
Divide 5.5/13.75
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
The high temperatures for several days are shown in the table. Which answer describes the average rate of change from day 3 to day 5?
Responses
The high temperature changed by an average of −6 degrees per day from day 3 to day 5.
The high temperature changed by an average of −2 degrees per day from day 3 to day 5.
The high temperature changed by an average of −4 degrees per day from day 3 to day 5.
The high temperature changed by an average of −3 degrees per day from day 3 to day 5.
"From days 3 to 5, the high temperature changed by an average of almost 4 degrees per day," is the appropriate answer.
How to determine the average rate of change?We can determine the average rate of change from day 3 to day 5 by splitting the difference in high temperature between those two days by the distance between them (which is 2), or 2.
The highest temps on Day 3 was 85°F.
The highest temperature on Day 5 was 77°F.
Extreme temperature variation: 77°F to 85°F equals -8°F
Between day three and day five, there are two days.
(Change in maximum temperature) / (number of days) yields an average rate of change of -8°F / 2°F per day.
This leads to the conclusion that the right response is "The high temperature changed by an average of 4 degrees per day from day 3 to day 5".
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10
Select the correct answer.
The given equation has been solved in the table.
Step
1
2
3₂
4
5
-
Statement
-7--7
7+7=-7+7
0
2
22-0
2=0
=
In which step was the subtraction property of equality applied?
O A. step 2
OB.
step 3
OC.
step 4
O D.
The subtraction property of equality was not applied to solve this equation.
The step in which the subtraction property of equality was applied to solve the equation is given as follows:
D. The subtraction property of equality was not applied to solve this equation.
What is the subtraction property of equality?The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.
For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.
In the other step, the multiplication property was applied, hence option D is the correct option for this problem.
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The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of 2.
5x – 8°
4x°
96°
44°
5x + 2°
Answer:
x = 29°
The angles are 137° , 116° , 96° , 44° and 147°
Step-by-step explanation:
The sum of the angles of the polygon is given as 540°. The angles are given as 5x – 8°, 4x° , 96° , 44°, 5x + 2. Therefore, the value of x can be found as follows
5x – 8° + 4x° + 96° + 44° + 5x + 2° = 540°
collect like terms
5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°
14x + 134 = 540°
14x = 540 - 134
14x = 406
divide both sides by 14
x = 406/14
x = 29°
Therefore, the angles are as follows
29 × 5 - 8 = 137°
29 × 4 = 116°
96°
44°
5 × 29 + 2 = 147°
A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
7. El área de un terreno de forma rectangular es 4332 m?. Si de ancho mide la tercera parte de su medida de largo, ¿Cuáles son las dimensiones del rectángulo?
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
a sofa on sale for $429.00 which is 34% less than the regular price .what is the regular price
Answer:
Discounted price = $495 Discount Rate = 34% Solution: Let x = Original Price x = 495 + 0.35x ;Multiply whole equation by 100 to remove decimals. 100x = 49500 + 35x ;Transpose 35x to the left side of the equation. 100x-35x = 49500 ; Subtract the x terms. 65x = 49500 ; Divide both sides by 65. x = 761.54 So the original price is $761.54.
Ashanti Goldfields, wanted to undertake a project which will costs GH 30,000 now and is expected to generate year –end cash inflows of GH 9000, GH 8000, GH 7000, GH 6000, GH5000 and GH 4000 in years 1 through 6.The opportunity cost of capital may be assumed to be 10 percent.
Answer:
I strongly believe that NPV of the project is the requirement of this question:
NPV is -$486.82
Step-by-step explanation:
The NPV is the present value of the future cash flows from year 1 through year 6 minus the initial capital investment of GH30,000
The cash flow discount factor =1/(1+r)^n
r is the opportunity cost of capital at 10%
n is the relevant year of each cash flow
NPV=-30,000+9000/(1+10%)^1+8000/(1+10%)^2+7000/(1+10%)^3+6000/(1+10%)^4+5000/(1+10%)^5+4000/(1+10%)^6=-$486.82
The project is not viable since NPV is negative
1x²- 16x = 20 is mg questions
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in
mm, after d days:
f(d) = 9(1.04)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot
the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent? (4 points)
A: The reasonable domain to plot the growth function would be all positive integers for the number of days, d, since the growth occurs over time.
B: The y-intercept of the graph of the function f(d) represents the initial radius of the algae when d = 0. In this case, the y-intercept is 9 mm.
C: To find the average rate of change of the function from d = 3 to d = 9, we need to find the difference in the radius of the algae at d = 9 and d = 3 and divide by the difference in the number of days.
f(9) = 9(1.04)^9 = 12.81 mm
f(3) = 9(1.04)^3 = 10.46 mm
Average rate of change = (12.81 - 10.46) / (9 - 3) = 0.71 mm/day
The average rate of change represents the average amount by which the radius of the algae increases each day from d = 3 to d = 9.
I don't know how to do this stuff.
(5*6)-(3*6)=
Answer:
12
Step-by-step explanation:
First, the left parenthesis : 5 x 6 = 30
The right parenthesis : 3 x 6 = 18
Then you subtract the two :
30 - 18
= 12
One-fourth (8 minus 4 p) + 2 p = 12
Answer: p=10
Step-by-step explanation:
Plug in 10 to all areas where p is and youll get 12!
6x2 - 7x - 5 =0
Let x = j and x = k be solutions to the equation above, with j > k. What is the value of j - k?
9514 1404 393
Answer:
j-k = 13/6
Step-by-step explanation:
The quadratic formula tells you the two solutions are ...
x = (-b/(2a)) ±√(b² -4ac)/(2a)
The difference between these solutions is ...
j-k = √(b² -4ac)/a
j-k = √((-7)² -4(6)(-5))/6 = √(49 +120)/6 = √169/6
j-k = 13/6
PLS HELP WILL MARK BRAINLIEST!! TY
Answer:
20
Step-by-step explanation:
62 = 3x+2
60 = 3x
20 = x
lol yw now make me brainiest pls
Tell whether the following ratios shows proportion or not. Write
your answer on the space provided before each number.
_________ 1. 2:10 = 1:5
_________ 2. 3:6 = 6:3
_________ 3. 5:15 = 1:3
_________ 4. 12:4 = 6:2
_________ 5. 5:15 = 1:3
Answer:
1. Proportion
2. Not Proportion
3. Proportion
4. Proportion
5. Proportion
Step-by-step explanation:
Hope it helps you :))))))
Have a good day
The capacity of a water tank is 10000 litres and there is 4800 litres of water. A water tap can fill 40 litres of water per minute and another tap can empty 25 litres of water per minute. If both the taps are opened together for 10 minutes, then how much water will be in the tank after 10 minutes?
The amount of water tank with water after 10 minutes will be 4950 liters.
To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.
Let's calculate the net flow rate of water per minute:
Flow rate = (filling tap flow rate) - (emptying tap flow rate)
Flow rate = 40 L/min - 25 L/min
Flow rate = 15 L/min
Now, we can calculate the net flow of water over 10 minutes:
Net flow of water = (flow rate) * (time)
Net flow of water = 15 L/min * 10 min
Net flow of water = 150 L
Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.
Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:
Final amount of water = (initial amount of water) + (net flow of water)
Final amount of water = 4800 L + 150 L
Final amount of water = 4950 L
After 10 minutes, there will be 4950 liters of water in the tank.
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NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.
Question 2 part b complete the square to rewrite the following equation into standard form show all work X^2+6x+y2-4y=-9
Explanation
We are to write the equation of the circle in standard form
Given theequation:
\(x^2+6x+y^2-4y=-9\)\(\left(x−a\right)^2+\left(y−b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\)Using completing the square method
\(\left(x-\left(-3\right)\right)^2+\left(y-2\right)^2=2^2\)Thus, we will have the answer to be
\((x+3)^2+(y-2)^2=2^2\)Where
\(\begin{gathered} (a,b)=(-3,2) \\ r=2 \end{gathered}\)The work that Yi did to find the greatest common factor of 42 and 63 is shown below. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 Factors of 63: 1, 7, 9, 63 The greatest common factor is 7. What is Yi’s error? Yi did not list all the factors of 63. Yi listed multiples for each number instead of factors. Yi did not list all the factors of 42. Yi found the least common multiple.
Answer:
A Yi did not list all of the factors of 63
Step-by-step explanation:
hope this helps
Answer:
A. Yi did not list all the factors of 63
Step-by-step explanation:
Did the quiz
A telemarketer makes 82 calls on the first day, then makes 40 calls each additional day. Write an explicit rule, find the 9th term, and explain what it represents.
Answer: 442 calls
Step-by-step explanation: to find the 9th term you multiply 40 by 9 which will give you 360. You then add 82 from that 1st day and you will get 442 calls. This represents the total amount of calls taken on the 9th day. The rule used is for each day multiply 40. After multiplying add 82.
If f(x) = 3a|4x - 4| - ax, where a is some constant, find f '(1). (4 points)
Select one:
a. 0
b. not enough information
c. e
d. 1
Annswer girl
Step-by-step explanation:
just trying to get answers
11p-4=6p+1 explain steps please ASAP!!!
97 patients spent time with therapy dogs, and 101
patients did not. What percent of the total patients spent time
with a therapy dog, rounded to the nearest percent? Record
your work and answer on our Numbers in the News answer
sheet.
Answer:
94%
Step-by-step explanation:
-X <-2x and 3x>2x
Solve, then graph and find interval notation
Answer:
-X < -2x
3x>2x
Step-by-step explanation:
Why is it important the order we write the vertices of a triangle in a congruent statement? SELECT ALL THAT APPLY!
A The middle letter is the vertex of the angle.
B The order tells us what sides are congruent.
C The order does not matter
D The order tells us what angles are congruent.
It is important the order we write the vertices of a triangle in a congruent statement as
B. The order tells us what sides are congruent.
D. The order tells us what angles are congruent.
How to illustrate the information?A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.
Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.
The vertices of a triangle in a congruent statement are important for the ordering. In conclusion, the correct options are B and D.
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
the table below shows the attendance and revenue at theme parks in the us
Let
y ------> the year
x ----> revenue
so
Plot the given ordered pairs
see the attached figure
(please wait a minute to plot the points)
In the graph the x-coordinate 0 represent year 1990
Find out the equation of the line
take two points
(1990, 5.7) and (2006, 11.5)
Find the slope m
m=(11.5-5.7)/(2006-1990)
m=5.8/16
m=0.3625
Find the equation of the line in slope intercept form
y=mx+b
we have
m=0.3625
point (1990, 5.7)
substitute and solve for b
5.7=(0.3625)(1990)+b
b=-715.675
therefore
y=0.3625x-715.675
PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Line 1 to Line 2:______________
Line 2 to Line 3:_______________
Answer:
The answer above me is correct!
Step-by-step explanation:
Give them BRAINLIEST! have a good day<3 :)
Amber sends a text message to 4 people and those 4 people send the text message to 4 more people, and so on. Write an expression to show the number of people who will receive the text message after the fifth round.
An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵
What is geometric progression?In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.
Formula for nth term of G.P.,
Tₙ = a×rⁿ
where a is first term and r is common ratio
Given that,
Amber sends a text message to 4 people
Those 4 people send the text message to 4 more people, and so on
An expression to show the number of people who will receive the text message after the fifth round = ?
This process will follow a geometric progression,
Which have common ratio = 4
First term a = 4
Fifth term = ?
Here, n = 5
Tₙ = a × rⁿ
= 4 x 4⁵
= 4096
Hence, the expression is 4 x 4⁵
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