Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
[tex]c= 0.25n[/tex]
Solving (a): The constant of proportionality;
For an equation:
[tex]c=kn[/tex]
Where
k = constant of proportionality
By comparing: [tex]c=kn[/tex] to [tex]c= 0.25n[/tex]
[tex]k = 0.25[/tex]
Hence, the constant of proportionality is 0.25
Solving (b): What information does [tex]k = 0.25[/tex] gives.
It represents the unit rate.
So, it means that 1 apple costs $0.25
Solving (c): Number of apples for $3.
This means that [tex]c = 3[/tex]
Substitute 3 for c in [tex]c= 0.25n[/tex]
[tex]3 = 0.25n[/tex]
Make n the subject
[tex]n = \frac{3}{0.25}[/tex]
[tex]n = 12[/tex]
solue each by trial and error method.. 3+x=8
Answer:
x=5
Step-by-step explanation:
Move the constant to the right-hand side and change its sign. Then subtract the numbers.
Answer:
X=8-5
X=5
Step-by-step explanation:
plz mark me as brainliest
Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
What is the value today of a $12,000 cash flow expected to be received seventeen years from now based on an annual interest rate of 7%?
0 $3,799
O $5,888
0 $4,749
O $37,906
Answer:To find the present value of a cash flow expected to be paid or received in the future, you will ??? the future value cash flow by (1 + I)NN.
-divide
-multiply
What is the value today of a $12,000 cash flow expected to be received 17 years from now based on an annual interest rate of 7%?
-$3,799
-$3,039
-$37,906
-$4,749
Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be:
-Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security’s expected future cash flows.
-Everything else being equal, you should invest if the present value of the security’s expected future cash flows is less than the current cost of the security.
-Everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security.
Now that you’ve thought about the decision rule that should be applied to your decision, apply it to the following security offered by your broker:
Jing Associates, LLC, a large law firm in Denver, is building a new office complex. To pay for the construction, Jing Associates is selling a security that will pay the investor the lump sum of $23,000 in two years. The current market price of the security is $14,245.
Assuming that you can earn an annual return of 8.50% on your next most attractive investment, how much is the security worth to you today?
-$16,606
-$24,421
-$19,537
From strictly a financial perspective, should you invest in the Jing security?
-Yes
-No
Why or why not?
-Because the discounted value of the security’s future cash flows is greater than the cost of the security.
-Because the cost of the security is greater than the discounted value of the security’s future cash flows.
Step-by-step explanation:
there are 650 fruits in a fruit stand, which 208 are mangosteen. how many percent are mangoesteen?
Answer:
32%
Step-by-step explanation:
Given data
Total number of fruits = 650
number of mangosteen= 208
The pecentage of mangosteen is
= 208/650*100
=0.32*100
=32%
Hence the perncetage of mangosteen is 32%
what is -5x^2+7x+1 from 8x^2+x-10
Answer:
13x^2 - 6x -11
Step-by-step explanation:
In APQR, PR is extended through point R to point S, mZQRS = (7x+8)°,
mZRPQ = (x +12)', and mZPQR= (3x + 20°. Find mZRPQ.
Answer:
Wait what?
Step-by-step explanation:
Answer:
I'm sorry but I don't know
Step-by-step explanation:
I am sorry I needed the points.
Can somebody help me find the mean,median, and mode
Answer:
so for the mean u add all the numbers on there and then divide it by 5 since there are 5 numbers on there so 78+84+100+78+81=421 now we divide 421 by 5 so 421÷5= 84!
now the median would be 100? and the mode is 78 since 78 is the number that showed the most!
Find the area of the circle.
Use \mathrm{\pi } = 3 . 14π=3.14 and round your answer to the nearest hundredth.
Answer:
The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]
Step-by-step explanation:
We need to find area of the circle
(Note: The data is missing in this question, so I will just explain how to find area of circle.)
The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]
where r is radius of circle.
So, If we have value of r and we put π = 3.14, we can find area of circle.
Let us suppose that Radius of circle r = 5
Now, the area of circle having radius 5 is:
[tex]Area=\pi \:r^2\\Area=3.14 \times (5)^2\\Area=3.14\times 25\\Area=78.5[/tex]
So, when radius of circle is 5, Area of circle is 78.5
So, Using the radius given in your question, you can find area of circle.
Which is the equation of a line parallel to the line with the equation: Y= -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. y= -1/3x + 6
D. Y= 1/3x - 1/2
Tim and Joey share a 20-ounce box of cereal. By the end of the week, Tim has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
1/10
of the box is left
so 2 ounces are left
Step-by-step explanation:
Simplify Fourth root of 196
Answer:
Exact Form:
√14
Decimal Form:
3.74165738
Step-by-step explanation:
Which correctly renames
7
8
and
5
6
using a common denominator?
A.
42
48
and
40
48
B.
42
48
and
30
48
C.
14
16
and
15
18
D.
28
24
and
20
24
Answer:
a
Step-by-step explanation:
which of these statement is true about this graph
Answer:
Step-by-step explanation:
C
Answer:
the graph is nonlinear because its not touching the 0
help i don't understand plz help
Answer:
naruto
Step-by-step explanation:
rasengan
Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30 Which answer choke represents the balance in her account on Thursday?
A $51.70
B $140.90. C $ -22.00. D $-51.70
Answer:
The answer is D- $- 51.70
The answer choke represents the balance in her account on Thursday is D $-51.70
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30
Using the data from the question, we can create the following equation to solve.
44.60 - (66.30 + 30 ) = x
44.60 - (96.30 ) = x
-51.70 = x
As we can see Luisa withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
A cliff diver jumps from a height of 58 feet with an initial velocity of 4 feet per second.
Answer:
The answer is 6 seconds
Find the area of the figure.
Answer:
Width X Lenght =Area
Step-by-step explanation:
3 X 4= 12m
Write a linear expression in simplest form to represent the perimeter of the trapezoid below. Then find the perimeter if the value of x is 6 yards. (7x + 3) yd (6x + 3) yd (6x + 3) yd (5x) yd
Answer:
(24x+9)yd
153yd
Step-by-step explanation:
The perimeter is the sum of all the sides, so put all the sides together.
(7x+3)+(6x+3)+(6x+3)+(5x)
7x+6x+6x+5x+3+3+3
24x+9
IF x=6:
(24(6)+9)yd
(144+9)yd
153yd
Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following
Find the incorrect step in Noah's work and explain why it is incorrect
PLEASE HELP ME
Answer:
Line 4 is incorrect. Noah applied the distributive rule incorrectly.
Step-by-step explanation:
The incorrect step in Noah's work is fourth step that is :
[tex]7.14-6=12.14-20[/tex]
We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]
Substituting [tex]x=\frac{14}{5}[/tex] in the given equation
[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]
So, here in the given solution we observe that the fourth step is incorrect.
Since 5 is not multiplied to 6 and 20.
Learn more:https://brainly.com/question/10439298
What is the expanded notation fraction of 810.435
Answer:
800.000 + 10.000 + 0.000 + 0.400 + 0.030 + 0.005
f(x) = 4+9x, find f(-3)
Answer:
R3EWS.
Step-by-step explanation:
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
The sum of two numbers is 240. If one number is twice the other number, find the two numbers?
Answer:
160 and 80
Step-by-step explanation:
Answer:
60 and 120
Step-by-step explanation:
60*2=120
120+120=240
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
(2, -1)
Step-by-step explanation:
I just plugged (y-x<-3) into desmos (if you haven't used desmos, use it. Its a lifesaver) and the only coordinate pair that was part of the line, is (2,-1)
Hope that helps!
Answer:
(6,2)
coz if y=2 & x=6
then substitute in to the equation
and we get 2-6=-4
so -4 is less than -3; in number line. thats it!!!!!
find the value of x in the equation below. 18 = x - 10
Answer: x= 28
Step-by-step explanation:
18=28-10
18=18
Why did the river get less polluted as it went down stream?
Group of answer choices
magic
pollution was diluted
evaporated
bacteria ate it
Answer:
Pollution was diluted
Step-by-step explanation:
I NEED HELP WITH THIS PLS I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answer:
1 no 2 and 3 yes
Step-by-step explanation:
do the vertical line test
if the line going vertical hits the line twice then its not a function
1 is not a function
2 is and 3 is a function
what’s the answer to 5y-4
Answer:
y = 0.8
Step-by-step explanation:
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
1. extends both north and south of the Equator
(1 Point)
A. the Caribbean
B. South America
C. hunter-gatherers
D. Yucatán
E. mounds
Answer:
South America
Step-by-step explanation: