Answer: 9x^2-2x+8/2x(x-2)
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now. Assuming (a) interest at an annual rate of 5% compounded annually, or (b) interest at an annual rate of 6% compounded continuously, which option should she choose under the consideration of cash value only?
A) If the interest is at the annual rate of 5%, compounded annually, then the present value of the five installments is $______. B) If the interest is at the annual rate of 6%, compounded continuously, then the present value of the five installments is $______.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.
First, we determine the value of the 5 installments using a 5% annual compounded rate.
We calculate the future value, and then the present value:
FV= {A*[(1+i)^n-1]}/i
A= annual payments
FV= {60,000*[(1.05^5) - 1]} / 0.05
FV= $331.537.88
PV= FV/(1+i)^n
PV= $259,768.60
At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.
Now, if the annual rate is 6% continuously compounded.
First, we need to calculate the effective interest rate:
r= e^i - 1
r= effective inerest rate
r= e^0.06 - 1
r= 0.0618
FV= {60,000*[(1.0618^5) - 1]} / 0.0618
FV= 339,443.23
PV= 339,443.23/1.0618^5
PV= $251,509.01
At an annual rate of 6% compounded continuously, she should choose the $255,000.
Please answer these in a fraction form. Thank you have an AMAZING day!
1. 2/5 ÷ 3 1/10 = ?
2. 4 1/3 ÷ 4/7 = ?
3. 3 1/6 ÷ 9/10 = ?
4. 5/8 ÷ 2 7/12= ?
Answer:
use Photomath app to answer your question.
HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!
Answer:
DB!
Step-by-step explanation:
Question a: 3+3+2+2 = 10 dinners
Question b: 15-30 and 30-45, because most people choose that range.
Hope I helped!
Answer:
a) 10 b) 2-3 dollars
Step-by-step explanation:
a) 3+3+2+2
b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3
The circumference of a circle measures 11.277 ft.
What is the measure of the diameter of this circle?
Answer:
3.590ft
Step-by-step explanation:
We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.
Well, what comes to mind is the fact that the circumeference, [tex]c[/tex], is equal to [tex]\pi[/tex] multiplied by the diameter, [tex]d[/tex]. We can express this like so:
[tex]c = \pi d[/tex].
In this scenario, we know what [tex]c[/tex] is, so we need to rearrange the formula to make [tex]d[/tex] the subject. Dividing both sides by [tex]\pi[/tex] will accomplish this, and gives us:
[tex]\frac{c}{\pi} = d[/tex].
So if we divide the circumference by [tex]\pi[/tex], we will find the diamater. Well,
[tex]\frac{11.277}{\pi} = 3.58958...[/tex]
and so to 3 decimal places we get the answer
[tex]d = 3.590\text{ft}[/tex].
What is the ratio of a:b, knowing that a-b/a+b = 3/5.
Answer:
4:1
Step-by-step explanation:
[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]
4-1 = 3
4+1 = 5
Find the cos of angle T....
Answer:
C = 24/25
Step-by-step explanation:
Recall, CAH.
Thus:
Cos T = adjacent/hypotenuse
Reference angle = T
Adjacent = 24
Hypotenuse = 25
Therefore,
Cos T = 24/25
Write an expression equivalent to the one below
-2m-8+4(3m-9)
Answer:
Step-by-step explanation:
Distribute the 4 into the parentheses.
[tex]-2m-8+12m-36[/tex]
Combine like terms
[tex]10m-44[/tex]
Answer:
10m - 44
Step-by-step explanation:
Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44I hope this helps!
If f(x) = 9x-8, which of the following is the inverse of f(x)?
O A. f'(x) = *19
O B. f'(x) = x;
O c. f-'(x) = 48
X-9
O D. f-1(x) =
8
13 as prime or composite
Answer:
prime
gggghfsssddfdfv ut b dc t
Answer:
the number 13 is a prime number
Select the correct answer.
What is the LCM of the numbers 3, 6, and 9?
A.
9
B.
18
C.
36
D.
54
Answer:
D
Because you have to find out what they could all equal up to
Answer:
d
Step-by-step explanation:
A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
WILL GIVE BRAINLIEST GIVE CORRECT ANSWER
Answer:
everything u chose is right
Step-by-step explanation:
50 = 20 + 4h
-20. -20
30/4= 4h/4
7.5 = h
So 50 = 20 + 4(7.5)
50 = 30 + 20
50 = 50
A garden table and a bench cost $903 combined. The garden table costs $53 more than the bench. What is the cost of the bench?
MNOP is a trapezoid with bases MN and OP. If MN = 25 and OP = 23, what is the length of the midsegment of MNOP?
Answer:
24
Step-by-step explanation:
you can get the answer from the attachment
The midsegment of a trapezoid divides the trapezoid into equal parts.
The length of the midsegment of MNOP is 24
The lengths of the base are given as:
[tex]\mathbf{MN = 25}[/tex]
[tex]\mathbf{OP = 23}[/tex]
Let the midsegment be x.
So, we have:
[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]
Substitute values for MN and OP
[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]
[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]
[tex]\mathbf{x=24}[/tex]
Hence, the midsegment of MNOP is 24
Read more about midsegments of trapezoids at:
https://brainly.com/question/7511906
X-4/x-3 is less than 2x-1/2
Answer:
yes
Step-by-step explanation:
yes
Select the algebraic expression for the word expression.
24 less than h
24 - h
24 - h
h - 24
h - 24
24 ÷ h
24 ÷ h
h
Step-by-step explanation:
The Answer Is 24 - h
As, 24 Is Less Than "h"
can someone please help me with this math problem thank you.
Please show work so i know how you got your answer..thank you and have a nice day<3
Answer:
V=whl=2·2.5·4=20
Step-by-step explanation:
Answer:
2880 feet³
Step-by-step explanation:
since the question is asking for cubic feet we know we're finding volume.
v=l·w·b
v=4·24·30
=2880
helppp!! For the given solid figure, find the value of the variable.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
_____
You may recognize these numbers as double those of a 3-4-5 right triangle.
Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?
Answer:
Step-by-step explanation:
$120
Find the area of the circle. Use 3.14 for pi.
Question 1 options:
113.04 in2
56.52 in2
256.34 in2
1017.36 in2
Answer:
The answer is 254.34 in².
Step-by-step explanation:
Given that the diameter is 2 times the radius. So the radius will be 9 in. Next, you have to find the area of circle, A = π × r² :
A = π × r²
Let π = 3.14, r = 9,
A = 3.14 × 9²
A = 254.34 in²
Draw the proble. give me steps. Please
Answer:
I cant draw 4 u sry
Answer:
A. c = 3.5h + 15
Step-by-step explanation:
I can't exactly draw the problem BUT I can still help.
C represents the cost altogether but we do not know how much the total cost would be.
So we're paying $15 as a fee, no more from that.
Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.
Now, c = 3.5h + 15.
(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)
I need help with this
look at picture
Complementary angles
Answer:
77
Step-by-step explanation:
48 + (x-35) = 90
x-35 = 90-48
x-35 = 42
x = 42+35
x = 77
Find the measure of each missing angle.
9514 1404 393
Answer:
35°145°55°125°55°Step-by-step explanation:
The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.
Angles 2 and 4 are the supplements of angles 1 and 5, respectively.
∠1 = 35°
∠2 = 180° -35° = 145°
∠3 = ∠5 = 90° -35° = 55°
∠4 = 180° -55° = 125°
the EXACT value of 2÷(0.01)2 is
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2. Division is a basic mathematical operation. The expression in the question can be rewritten as [tex]\frac{2}{(0.01)2}[/tex].
The first step to take in order to determine the answer is to simplify the denominator. Bracket means to multiply. So, 0.01 would be multiplied by 2. 0.01 x 2 = 0.02. Now that the denominator has been simplified, divide the numerator by the denominator.
2 / 0.02 = 100
A similar question was answered here: https://brainly.com/question/22357901
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2.
Division is a basic mathematical operation.
The expression in the question can be rewritten as : 2/ (0.01)2
now, we get,
The first step to take in order to determine the answer is to simplify the denominator.
Bracket means to multiply.
So, 0.01 would be multiplied by 2.
i.e. 0.01 x 2 = 0.02.
Now that the denominator has been simplified, divide the numerator by the denominator.
we get,
2 / 0.02 = 100
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
Which of the following is an example of an irrational number? Question 5 options: A) 3∕4 B) C) D) 74∕99
Answer:
happy to help, but c and d are not included in your question
Please help me i am taking a test and i really need help
Answer:
31.4159in
Step-by-step explanation:
Answer:
31.4
Step-by-step explanation:
Please help I need this answer!
Answer: 16
Step-by-step explanation: Good luck! :D
Answer:
It’s 16
Good luck
I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out
A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?
It's new position is 1121 feet below sea level.
(In this problem u are descending into a negative value so it made sense for me to add for some reason).
Hope this helps and have a good day.
Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.
-R3TR0 Z3R0
6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.