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]
x + 4y = 16 and 2x + 12y = 48 What is the value of x+y in the solution of the system?
Answer:
x = − 4y + 16
x = − 6y + 24
Step-by-step explanation:
Let's solve for x.
x + 4y = 16
Step 1: Add -4y to both sides.
x + 4y + − 4y = 16 + − 4y
x = − 4y + 16
Answer:
x = − 4y + 16
Let's solve for x.
2x + 12y = 48
Step 1: Add -12y to both sides.
2x + 12y + − 12y = 48 + − 12y/2x= − 12y + 48
Step 2: Divide both sides by 2.
2x/2 = − 12y + 48/2x = − 6y + 24
Answer: x = − 6y + 24
( I hope this was helpful) >;D
Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought? T=0.29pt = 0.29 p t=0.31pt = 0.31 p t=3.45pt = 3.45 p t=3.48p
Answer:
T = 0.29p
Step-by-step explanation:
From the table Given :
We can obtain the uint cost per pound of wood :
Cost of 12 pounds of wood = $3.48
Cost per pound = Cost / weight
Cost per pound = $3.48 / 12 = $0.29
Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;
Cost = unit cost per pound * number of pounds
T = 0.29 * p
T = 0.29p
CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.
Step-by-step explanation:
9. 9x+1 + 9x+1 +88 =180
18x = 90
x = 5
I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday
Answer:
60
Step-by-step explanation:
24 dividend by 4 equals 6.
this means 10% of the original price is 6.
6 times 10 equals 60
hope this helps!!!
The quotient of 36 and 3 is j.
Answer:
j= 12
Step-by-step explanation:
j = 36/3
j = 12
help me i am having trouble
HELP PLEASE! TY!!!!!!!!!
Answer:
Expression: 2m + 2.50
Step-by-step explanation:
This is the expression that shows the total cost of Jose's trip.
The "2m" is because he has to pay $2 per each mile (m) he travels. The "+ 2.50" is because Jose has to pay $2.50 for the flag fall as well.
Hope it helps!
Find the perimeter.
Answer:
38
Step-by-step explanation:
Add all the numbers up
?= 5 plus 7 as that's the top of the "rectangle"
Answer:
38mi
Step-by-step explanation:
to find the side you don't know: 7+5=12mi
to find the perimeter: 5+4+7+3+12+7= 38mi
It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes
Answer:
20 minutes
Step-by-step explanation:
y=(12/3)*5=20
Find the value of x & y
y
12
30
Answer:
x = [tex]\frac{\sqrt{12} }{3}[/tex]12 = 8[tex]\sqrt{3}[/tex]
y = [tex]\frac{\sqrt{3} }{3}[/tex]12 = 4[tex]\sqrt{3}[/tex]
Let me know if you need some help simplifying the expressions or o the trig side of things
Step-by-step explanation:
I'm not sure if this is full out trig or recognizing special triangles, specifically 30-60-90 triangles. Of course since one angle is 30 degrees and the other is 90 degrees this is a 30-60-90 triangle.
with 30-60-90 tringles the basic guide is as follows.
The three legs will be referred to as the hypotenuse, short leg and long leg. I will use H, S and L.
H = 2S = [tex]\frac{\sqrt{12} }{3}[/tex]L
S = .5H = [tex]\frac{\sqrt{3} }{3}[/tex]L
L = [tex]\frac{\sqrt{3} }{2}[/tex]H = S[tex]\sqrt{3}[/tex]
If this is trig just break out the unit circle and SOH CAH TOA
So x is the hypotenuse, and y is the short leg and we know the long leg is 12, so we can use that.
to find the hypotenuse knowing the long leg we use H = [tex]\frac{\sqrt{12} }{3}[/tex]L and to find the short leg with the long leg you use S = [tex]\frac{\sqrt{3} }{3}[/tex]L. now just plug in 12 for L
Determine whether or not each set of side lengths would form a right triangle.
Answer:
6,6,12 -not a right angle
8,15,17 - right angle
9,16,21 - not a right angle
10,24,26 - right angle
Guys I need no help but like wut is 2+2 =?
A.4
B. Fish
C. 22
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]2 + 2 \\ = 4[/tex]
Complete the square of x^2-2x+17
Answer:
(x - 1)² + 16
Step-by-step explanation:
x² - 2x + 17 = 0Subtract 17 from both sides of the equation.
x² - 2x = -17Use the formula (b/2)² to see which number you have to add to both sides.
(-2/2)² = 1Add 1 to both sides of the equation.
x² - 2x + 1 = -17 + 1Factor the left side of the equation into a perfect square.
(x - 1)² = -16Add 16 to both sides of the equation.
(x - 1)² + 16(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.
multiply (5x^2-6x+2) x (4x^2-3x)
Answer:
[tex]20x^{4} - 39x^{3} + 26x^{2} - 6x[/tex]
hope this helps
Given the diagram, a supplement to
Given:
The figure of a quadrilateral ABCD.
To find:
The supplement of angle ABC.
Solution:
We know that, two angles are called supplementary angles if their sum is 180 degrees.
[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]
[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]
So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].
[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]
[tex]\angle ABC+\angle ADC=200^\circ[/tex]
So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].
[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]
[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]
[tex]\angle ABC+\angle DAB=180^\circ[/tex]
So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].
In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].
So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].
Therefore, the correct option is C.
can measurement 6cm, 8cm, and 14 cm create a triangle
Answer:
No
Step-by-step explanation:
treinte + catorce = ??
Answer:
cuarenta y cuatro = 44
Step-by-step explanation:
treinta + catorce = cuarenta y cuatro
30 + 14 = 44
Qué tengas un lindo día
Have a great day
Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
rationalized
y=
and z=
Answer:
7
Step-by-step explanation:
First you have to fined the unit rate
1,500/25= 60
Now your gonna do
300x60= 18,00
Timmy brought $20 to Garfinkels and spent $11.95 on dinner and bought a soda and paid the tip. He spent the same amount on his soda as he did on the tip. If he leaves with $2.05, how much was his soda?
Answer:
$3
Step-by-step explanation:
You subtract the amount spent on dinner from the whole - 20 - 11.95 = 8.05
Then you subtract the amount remaining - 8.05 - 2.05 = 6
Then divide by two because they are both the same price - 6/2 = 3
Answer:
3$ and the tip would be 2$ I belive
Step-by-step explanation:
classify this triangle
Answer:
Acyte, Scalene. please mark brainliest when its correct:)
Answer:
acute scalene
Step-by-step explanation:
The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :
can someone help me answer this I think I know the answer but just to make sure
3. The line segment drawn from a vertex of the triangle to the mid-point of the opposite
side is called
a) altitude
b) median
c) centroid
True or False: To divide a decimal by a decimal, you must move the decimal in the dividend to
make a whole number.
Answer:
To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.
Find the solution of the system of equations.
2x + 3y = -2
4x + 9y = 14
A
B
С
Identify the location of each point on the number line.
Ź is Point
1
-2
-1
0
1
2.
2 is Point
-1 2 is Point
13 is Point
HELP ASAP ILL MARK BRAINLIST
I cant wait to get my account banned. Anyways that it
Which expression are equivalent to - -r/8
Answer:
r/8
Step-by-step explanation:
Can someone please help what’s the common difference
Step-by-step explanation:
The answer is
[tex] \frac{1}{3} [/tex]
The number keeps subtractrating 1/3 when we go to the right.
Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
Common difference
[tex] = 3 \frac{2}{3} - 4 \\ \\ = \frac{11}{3} - 4 \\ \\ = \frac{11 - 12}{3} \\ \\ = - \frac{1}{3} [/tex]
-10+3r=74 solve for r please
28 would be your answer
hope it helped you
Answer:
28
Step-by-step explanation:
+10
3r=84
/////////
3 3
r = 28
A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5 c + 7.6 where c is the number of containers. What is the height of a stack made of 8 containers?____ cm A tower made of all the containers is 40.6 cm tall. How many containers are in the set?______ containers Noah looks at the equation and says, "7.6 must be the height of a single container." Do you agree with Noah? Explain your reasoning.
Answer:
Part A
The height of the stack made of 8 containers is 19.6 cm
Part B
When the tower is 40.6 cm tall, the number of containers in the set are 22 containers
Part C
(Disagree) The height of a single container is 9.1
Step-by-step explanation:
The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers
The given expression that gives the height of the stack is presented as follows;
1.5·c + 7.6
Where;
c = The number of containers in the stack
Part A
When there are 8 containers, we have;
h(8) = 1.5 × 8 + 7.6 = 19.6
The height of the stack made of 8 containers, h(8) = 19.6 cm
Part B
When the tower (height of the stack set) is 40.6 cm tall, we have;
h(c) = 1.5·c + 7.6 = 40.6
∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22
When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers
Part C
Given that the height stack increases only by the thickness of the wider rim of each added container, we have;
The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c
The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5
The number of containers (The independent variable, x) = The number of stacked rims = c
The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1
Therefore, the height of a single container = 9.1 not 7.6
Solve the proportion
x/15 = 3/9
Answer:
5
Step-by-step explanation:
x/5=3/9
9x=45
x=45/9
x=5