Answer:
Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Step-by-step explanation:
To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?
Solution -
We know that, formula for finding the Present vale is given by
Present value = Future value / (1 + r)ⁿ
where r is the rate of interest
and n is Number of periods
Now,
Here in the question, we have
r = 12% = 12/100 = 0.12
n = 5
Also, Given that, we have received Rs X at the end of each year
So,
Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]
= [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Write an equivalent expression to
3² x 15 x 54
Equivalent Expression: 9x + 15x = 54
Step-by-step explanation:
First, yo would do 3^2 which is 3 times 3 equals 9.
So, it would be 9x + 15x = 54
Then, you combine like terms, 9x + 15x
So 9+15= 24x
Last, would be 54 = 24x
divide by 24 onto both sides and then x will be by itself and then it will give you an answer.
Answer: 2.25
Help pls for brainlest and extra points i need done soon
Answer:
5/6= 10/12
12/100<10/12
if the probaility that it will rain tomorrow is 1/5 what is the probaility that it will not rain tomorrow
Answer:
4/5 would be the answer....
someone pls help thank you so much if you do!!
A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?
Answer:
Step-by-step explanation:
sin Ф equal the opposite leg of the triangle dividend by the hypotenuse
sin Ф = opp / hyp
the problem gave you the Ф (the angle 7°)
and the length of the hypotenuse (the walking surface 60 inches)
You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface
sin 7 = opp / 60 solve for opp
60 × sin(7) = opp use your calculator, I don't have one handy
Ms. Jackson bought a new car. It cost $9,360. She paid 10% As a down payment. How much was her down payment?
Answer:
$936
Step-by-step explanation:
10% is just divided by 10 so 9360 divided by 10 is 936
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
40 to a ratio of 2:3
Answer: 16:24
Step-by-step explanation:
add the ratio so 2+3=5
Divide from 40 so 40/5=8
multiply by individual ratios
2*8:3*8= 16:24
Help me with this!!!
Answer:
it is 300 i think
300.
The midpoint is 300 because the distance from the 2 points is 100 so 300.
What values of x solve x 2 - 4x + 3
Answer:
x=1 and x=3
Step-by-step explanation:
When you factor it you get (x-1) and (x-3) then you subtract the 1 and 3 to the other side which is why the answer is positive.
Answer:
x = 1, x = 3
Step-by-step explanation:
Equate the expression to zero, that is
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
PLEASEEEEEEEEEEEE HELPOPPBMEEEEE
Answer:
The answer is 7.14
Step-by-step explanation:
good luck
Can someone help me
Please help, will mark brainliest
Answer:
The picture is just a black screen. Please tell me the question in the comments and I will try to help!
Step-by-step explanation:
Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?
solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]
Answer:
I hope this helps you :)
Answer:
2x+3y=9
2x+2-3y+1=8
2x-3y=8
2x-3y+3y=8+3y
2x=8+3y
2x=8+3y
2 2
x=8+3y
2
2(x) +3y=9
2* (8+3y)/2 +3y=9
(16+6y)/2)+3y=9
2*(16+6y)/2)+3y=9
16+6y+6y=18
6y+6y=18-16
12y=2
12y = 2
12 12
y=2
12
y=0.16666666666667
2x+3 (0.16666666666667)=9
2x+0.5=9
2x=9-0.5
2x=8.5
2x = 8.5
2 2
x=8.5
2
x=4.25
3
Discuss TWO ways in which some cultural views that ex
a relationship negatively.
.4
Compare TWO ways in which destructive relationships ir
well-being as opposed to constructive relationships.
1.5
Recommend TWO ways in which women and children ca
protected from discrimination and violence.
1.6
Read the statement below and answer the question that
"Only 52 per cent of women married or in a un
make their own decisions about sexual relations
Answer:
There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.
The two ways in which some cultural views may negatively affect a relationship are:
The notion that females should be domesticated and submissive has made them to be sometimes inferior in relationships.The view of male partners as a totalitarian leader (head) makes them to develop excessive ego and pride in relationships.What is a relationship?A relationship refers to a continuous and often committed interaction (association) that typically exist between two (2) or more people, which may either be platonic, romantic (intimate), negative, or positive.
In Sociology, there are four (4) main types of relationships and these include the following:
Family relationshipsRomantic (intimate) relationshipsFriendshipsAcquaintanceshipsIn conclusion, it is evident that some cultural views or perceptions may have a negative impact on a relationship.
Read more on relationships here: https://brainly.com/question/25862883
Are my answers for the conditional statement correct? I would just like to check them and if they're incorrect, could you let me know how to fix them? Thank you.
Statement: If I brush my teeth twice a day, then I will not get cavities.
Inverse: If I don't brush my teeth twice a day, then I will get cavities.
Truth Value: True
Converse: If I don't get cavities, then I am brushing my teeth twice a day.
Truth Value: True
Contrapositive: If I get cavities, then I am not brushing my teeth twice a day.
Truth Value: True
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
Evaluate 11.3v + 10.7w when v=7 and w=8
Answer:
11.3(7)+10.7(8)=79.1+85.6
=164.7
There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?
Answer:
the two numbers are -5 and 1
Step-by-step explanation:
Let x and y be the first number and second number respectively.
According to the question, we can find 2 equations:
2x + 5y = -5
3x + 10y = -5
On solving,
x = -5
y = 1
Answer:
X=-5,Y=1
Step-by-step explanation:
First equation: 2X+5Y=-5
Second equation:3X+10Y=-5
If we subtract the first from the second equation
(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0
So X= -5Y .then substitute in the second equation
So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1
Then substitute with that in the first equation so 2X+5= -5
2X= -10 therefore X=-5
A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?
Answer:
The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.
Hope this helps!
Joanne deposited $10,000 into an account that earns 5.5% compound interest, compounded annually. How much interest will Joanne earn after 10 years
Answer:
55.0%
Step-by-step explanation:
I used a calculator
Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
Which of the following are the sines for the angles of this triangle? Select all that apply.
Answer:
Answer attached
Step-by-step explanation:
solve for x
x- 5/3=1
Answer:
x = 8/3 or 2 2/3
Step-by-step explanation:
x - 5/3 = 1
x - 5/3 + 5/3 = x
1 + 5/3 = 8/3 or 2 2/3
x = 8/3 or 2 2/3
Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )
3x - 5 = 3 ( add 5 to both sides )
3x = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
For what values of t can 2x^2+tx+10 be written as the product of two binomials?
The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
What is binomial?A binomial expression is an expression that has two terms.
In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).
Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.
[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]
Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
Learn more about Binomial:
https://brainly.com/question/3560614
9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the
class.
What is the total number of students in Mrs. Reeves's class?
Answer:
boys : girls
4 : 5
multiply by 4
16 : 20
total = 36
Answer:
80
Step-by-step explanation:
Geometry question, help ya girl out
Answer:
A=36 a means area
Step-by-step explanation:
A=a+b/2
h=6+12/2
times 4=36
Answer:
=36cm^2
Step-by-step explanation:
6-12=6 (total cm of the bases for triangle B and C)
6/2= 3 (base of B and C trialngleis 3 )
Triangle formula: bh 1/2
(base)b= 3cm
height(h)=4
Formula: (3)(4) 1/2
=12 1/2
=6cm^2
^ area of 1 triangle
There are 2, so
6*2=12cm^2 (area of triangles )
Area of rectangle: L*W
4*6=24cm^2
Total area of trapezoid
=24cm^2+12cm^2
=36cm^2
what are two factors of 12 whose sum is 7
Answer:
Well it will be 7+5=12 and 6+6=12
Step-by-step explanation:
The two factors of 12 whose sum is 7 are 4, 3.
What is meaning of factors ?Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.
The number given is
12
The factors of 12 are 1, 2, 3, 4, 6, 12.
The two factors of 12 whose sum is 7 are 4, 3
4+3 = 7
Therefore ,The two factors of 12 whose sum is 7 are 4, 3.
To know more about Factors
https://brainly.com/question/24182713
#SPJ2
HELLLLLP MEEEE IDENTIFY THE HEIGHT
Answer:
11
Step-by-step explanation:
The height is 11 inches.
FIND THE MEASURE OF THE MISSING ANGLE
Answer: the answer is 66
Step-by-step explanation: 180-90-24=66
Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚
180˚-114˚=66˚.