) Endpoint: (9,-10), midpoint: (4,8)
Answers
Related Questions
Two thousand dollars is deposited into a savings account at 8.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satisfied by A(t), the balance after t years? (c) How much money will be in the account after 5 years? (d) When will the balance reach $3000? (e) How fast is the balance growing when it reaches $3000?
Answers
Answer:
a)\(A(t)=2000e^{0.085t}\)
b)\(A'(t)=170e^{0.085t}\)
c)$3059.1808
d)t=4.77 years
e) The balance growing is $254.99/year
Step-by-step explanation:
We are given that Two thousand dollars is deposited into a savings account at 8.5% interest compounded continuously.
Principal = $2000
Rate of interest = 8.5%
a) What is the formula for A(t), the balance after t years?
Formula \(A(t)=Pe^{rt}\)
So,\(A(t)=2000e^{0.085t}\)
B)What differential equation is satisfied by A(t), the balance after t years?
So, \(A'(t)=2000 \times 0.085 e^{0.085t}\)
\(A'(t)=170e^{0.085t}\)
c)How much money will be in the account after 5 years?
Substitute t = 5 in the formula "
\(A(t)=2000e^{0.085t}\\A(5)=2000e^{0.085(5)}\\A(5)=3059.1808\)
d)When will the balance reach $3000?
Substitute A(t)=3000
So, \(3000=2000e^{0.085t}\)
t=4.77
The balance reach $3000 in 4.77 years
e)How fast is the balance growing when it reaches $3000?
Substitute the value of t = 4.77 in derivative formula :
\(A'(t)=170e^{0.085t}\\A'(t)=170e^{0.085 \times 4.77}\\A'(t)=254.99\)
Hence the balance growing is $254.99/year
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
Answers
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
Answers
Hope this helps :)
A cause-and-effect relationship between two variables can best be determined from which of the following? When the two variables have a correlation. An observational study where the observational units are chosen randomly. A survey conducted using a simple random sample of individuals. A survey conducted using a stratified random sample of individuals. A controlled experiment where the observational units are assigned randomly to treatments.
Answers
The answer is A cause- and- effect relationship between two variables can best be determined When the two variables are identified.
Because the cause and effect relationship is chancing when the variables are identified or there exists a direct relationship between the variable. i.e. when the variables are identified or have a retrogression between the variables.The use of a controlled study is the most effective way of establishing reason between variables. In a controlled study, the sample or population is resolve in two, with both groups being similar in nearly every way.
There are three criteria that must be met to establish a cause- effect relationship. The cause must do before the effect. Whenever the cause occurs, the effect must also do. There mustn't be another factor that can explain the relationship between the cause and effect.
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What is distributive property addition?
Answers
what is the first step when you do 3(19c+4)=12
Answers
3(19c + 4) = 12
1st step multiply the bracket (19c + 4) by 3
3(19c + 4) = 3(19c) + 3(4)
3(19c + 4) = 57c + 12
57c + 12 = 12
2nd step subtract 12 from both sides
57c + 12 - 12 = 12 - 12
57c = 0
3rd step divide both sides by 57 to find c
\(\frac{57c}{57}=\frac{0}{57}\)c = 0
Which inequality will have a shaded area below the boundary line?
A.
y – x > 5
B.
2x - 3y ≤ 3
C.
2x – 3y
D.
7x + 2y ≤ 2
E.
3x + 4y > 12
Answers
Option c) 2x-3y ≥ 3 is correct inequality which has a shaded area below the boundary line.
Attempting all the equation on the graph to get the solutions
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
Since, while attempting all the option on graph. The one equation that satisfies the condition is 2x-3y ≥ 3 of having shaded area below the boundary line.
Thus, the option c) 2x-3y ≥ 3 is correct implification on graph which shows the shaded area below the boundary line.
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Determine whether the pair of figures is similar.
2.8 m
11)
8.4 m
499
12)
88°
3.1 m
49° 4 m
9.3 m
12 m
439
PLS HELP
Answers
Answer:
The triangles are similar
Step-by-step explanation:
You first flip the first triangle so the hypotenuse is facing the bottom right like the second triangle and the 49 degrees would be matching the same side as the picture would depict
You can then use the equaation 43 + 49 + x = 180 to solve for the missing angle in the second right triangle.
92 + x = 180
x = 88
The degrees match up, you then have to compare the sides.
You can first check the ratios between the same sides of the different triangles.
2.8 : 8.4
4 : 12
3.1 : 9.3
all of these ratios would be simplified to a 1:3 ration, meaning all the sides are proportional, making the triangles similar.
Answer:
answered in comments :)
Step-by-step explanation:
Pls help me I really nee it pls pls pls pls
Answers
Matthew rakes leaves to earn money. The points in this graph represent the total amount of money Matthew earns based on the number of hours he rakes leaves. Matthew wants to purchase sneakers that costs $48. How many hours does Matthew need to rake leaves to earn enough money to buy the sneakers?\
Answers
Answer:
it will take him 6 hours to earn enough money to buy the sneakers
Step-by-step explanation:
I took the test
Answer:
The answer should be 6
Step-by-step explanation:
I took the test too
help help help help help help
Answers
Answer:
1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)
2. please enjoy my dish and seafood
3.14
4. 4
5. 5
6. 7
7.25
Figure F is a scaled copy of E.
What is length of each missing measurement.
Answers
Answer:
answer
Step-by-step explanation:
what are do u mean what is f and e explain properly and then people will tell u
Suppose S = {1, 2, 3}, with P({1}) = 1/2 and P({1, 2}) = 2/3. What must P({2}) be?
Answers
The value of P({2}) for the given Finite set is found as P({2}) = 1/6.
Explain the meaning of the term finite set?Sets with a bounded number of participants are referred to as finite sets. Due to their ability to be numbered, finite sets also are known as countable sets. If the members of the elements of all this set are finite, then the operation will run from out elements to list. Finite set illustrations include P = { 0, 3, 6, 9, …, 99}For the stated question;
S = {1, 2, 3},P({1}) = 1/2 and P({1, 2}) = 2/3.P({2}) will contain only element with is not present in set P({1}) counting from P({1, 2}).
Thus,
P({2}) = P({1, 2}) - P({1})
P({2}) = 2/3 - 1/2
P({2}) = 1/6
Thus, the value of P({2}) for the given Finite set is found as P({2}) = 1/6.
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Express each rate as a unit rate. Round to the nearest hundredth if necessary.125 miles in 2 1/2 hours
Answers
Answer:
The unit rate is;
\(50\text{ mph}\)Explanation:
Given that you travel 125 miles in 2 1/2 hours;
The rate is the number of miles traveled per hour;
\(r=\frac{\text{distance}}{\text{time}}\)Substituting the given values;
\(\begin{gathered} r=\frac{125}{2.5} \\ r=50\text{ miles per hour} \end{gathered}\)Therefore, the unit rate is;
\(50\text{ mph}\)Which point is not in the solution set of the equation 3y + 2 = x^2 - 5x + 17?(-2,10)(-1,7)(2,3)(5,5)
Answers
Given the equation:
3y + 2 = x² - 5x + 17
We are to find the point that is not in solution set of the equation.
Let's put the points (-2, 10) into the equation
Where x = -2, y = 10
3y + 2 = x² - 5x + 17
3(10) + 2 = (-2)² - 5(-20 + 17
30 + 2 = 4 + 10 + 17
32 = 31
Therefore the point that is not the solution set of the equation is (-2, 10).
What
is an arithmetic sequence with a common difference of −2?
Answers
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
When families play “fill and dump” activities and explore large and small objects with the children, they extend learning in the
Number and Quantity strand.
Measurement and Comparison strand.
Geometry and Spatial Thinking strand.
Mathematical Reasoning strand.
Submit
Answers
The correct option is the Measurement and Comparison strand.
When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.
The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
Answers
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
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a sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. a regression analysis shows the following results:
Answers
The regression equation is Y = −12.201 + 2.195x.
In the given question,
A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
We have to find the regression equation.
Given that,
Coefficient of Intercept(a) = −12.201
Coefficient of Number of contacts(b) = 2.195
The regression equation is,
Y = a + bx
Y = −12.201 + 2.195x
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The right question is:
A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
What is the regression equation?
1) -9 + X = -4
Helpppppppp
Answers
Answer:
5
Step-by-step explanation:
-9 + x = -4
( move +x to right and -4 to left)
-9 +4= -x
[sign changes when number is moved]
-5= -x
[negative signs cancel out each other/ divide both sides by negative sign]
x = 5
Autumn has obtained a $70,000 mortgage loan at an annual interest rate of 8.00 percent for 30 years.
a. What is the monthly payment?
b. What is the total amount pald?
c. What is the total interest?
Answers
Answer:
C . what is the total interest.
Step-by-step explanation:
you are required to read any
four books from a list of fifteen. How
many different selections are possible?
Answers
The list price for a case of medicine is $275.49 Your pharmacy will receive a 18% trade discount. What is the amount of the discount? b) What is the net cost of the case of medicine?
Answers
The amount of the discount is $49.59, and the net cost after the discount is applied is $225.90.
What is the amount of the discount?If we have a original price P and we apply a discount of X, where X is a percentage, the amount of the discount is given by the formula:
D = P*(X/100%)
In this case, the original price is $275.49 and the discount is of 18%, then the amount of the discount is:
D = $275.49*(18%/100%) = $275.49*0.18 = $49.59
b) To get the net cost we need to take the difference between the original price and the amount of the discount, we will get:
net cost = $275.49 - $49.59 = $225.90
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10% of ? is 20 I really need help bad
Answers
Answer:
20 is 10% of 200
Step-by-step explanation:
We have, 10% × x = 20
or,
10
100
× x = 20
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 20 ×
100
10
x = 200
If you are using a calculator, simply enter 20×100÷10, which will give you the answer.
Answer:
it is 200.
Step-by-step explanation;
10%= 0.1
0.1 x 200 = 20
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I DONT UNDERSTAND IT I NEED HELP ITS DUE IN 3 MINUTES
Answers
Answer:
I think it's 64, I'm not sure but I hope this helps
Step-by-step explanation:
IT'S NOT 64!! The real answer is 45%
Yvonne wants to rent a kayak for 7 hours. How much would this cost at each company? Which one should she choose?
Answers
Answer: raging river kayaks -63
paddlers-47
Step-by-step explanation: Hope its right
Answer: is, cost for, raging river kayaks -63 & paddlers-47.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
from the given chart we get,
the equation for raging river kayaks is, x= 9y
the equation for paddlers is, x= n+1
i.e. for 7 hrs. cost is, 63 & 47 respectively.
Hence, Answer: is, cost for, raging river kayaks -63 & paddlers-47.
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A section of a deck is shaped like a trapezoid. For this section, the length of one base is 59 feet, and the length of the other base is 42 feet. The height is 26 feet. What is the area of this section of the deck?
Answers
Answer:
i think it 32214
Step-by-step explanation:
59 x 42 = 2478 x 26 = 66428. And divided by 1/2 (I'm sorry if im wrong)
(PLEASE ITS ACTUALLY MY LAST ONE HELP)
Which two figures represent circles of the same size?
A) D and G
B) C and G
C) none of them.
D) C and D
Answers
Answer:
B) C and G
Step-by-step explanation:
The radius is equal to 1/2 the diameter
r = 1/2 d
G has a diameter of 45
1/2 (45) = 22.5
C and G are the same
Answer:
c and g!
Step-by-step explanation:
The leteras Surface area of a cube is 324cm3
find the value and its total surface area
Answers
Step-by-step explanation:
hope it will help yougood luck
Someonee can u tell ne
Answers
Answer:
35
Step-by-step explanation:
i did the sqrt of 1225 and got 35 so there should be 35 rows each with 25 plants