Math problem (easy)
……………………………………..
(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=
1/9 (2m - 16) = 1/3 (2m + 4)
Please follow the steps in the picture!
Answer:
1/9 (2m - 16) = 1/3 (2m + 4)
expand
2/9m- 16/9 =2/3m +4/3
move m to other side
- 16/9 =2/3m (-2/9m) +4/3
simplify
- 16/9 =(6-2)/9m +4/3
- 16/9 =4/9m +4/3
move 4/3 to other side
- 16/9 -4/3 =4/9m
- 16/9 -12/9 =4/9m
-28/9 = 4/9m
multiply by 9
4m= -28
m= -7
Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.
Answer:
67!
Step-by-step explanation:
A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.
My numbers were 62+63+64+65+66+67=387
I hope this makes sense!
move the numbers to the blanks to order them from least to greatest value.
0.1 -9/8 4 |-5/6| -0.78
Answer:
-9/8, -5/6 -0.78, 0.1, 4
Step-by-step explanation:
since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!
PLEASE HELP QUESTION IN PICTURE
Answer:
Perimeter= 40
Area= 120.71
Step-by-step explanation:
Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?
yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12
yy==2x+15−x+15
y = 2 x + 15 y = - x + 15
yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12
yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1
Answer: b
Step-by-step explanation:
4. Which situation best demonstrates the phrase "correlation is not causation"?
A. As rainfall increases, so does the water level in the river.
B. The hotter the temperature, the faster ice will melt.
C. As the number of people with vision loss increases, the sale of hearing aids increases.
D. The fewer mistakes a student makes on a math test, the better their grade is on the math test.
a
Answer:
C
Step-by-step explanation:
We can solve this by analyzing if the event causes the result. If it does not, then there is correlation but not necessarily causation
A. Event: Rainfall. Result: Water level rises
Does rainfall cause an increase in water level? Yes, so this is incorrect
B. Event: Temperature increase. Result: Ice melting
Does an increase in temperature cause ice to melt faster? Yes, so this is incorrect
C. Event: More people have vision loss. Result: Hearing aids sales increase
Does more people having vision loss cause hearing aids sales to increase? No, vision loss does not cause a need for hearing aids -- hearing loss would, but vision loss does not. This is correct
D. Event: A student makes fewer mistakes. Result: A better grade
Do fewer mistakes cause better grades? Yes, so this is incorrect
What is the slope
A. 2
B. 4
C. 5
We know the slope formula.
=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:Therefore, the slope is 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answer:
c
Step-by-step explanation:
Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
4x-y=10 and y=2x-2 answers
Answer:
y = 6
x = 4
How to find 'x':
4x - y = 10
y = 2x - 2
First, you need to substitute the 'y' into the first equation.
4x - 2x - 2 = 10
Next, add the x's together. As it's a negative 2x then take away 2 from 4.
2x - 2 = 10
3. Now that it's a normal equation, you can add 2 to cancel out the -2
2x = 8
4. Then divide the 8 by 2 and you will get the answer to x which is 4
x = 4
How to find 'y':
1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:
y = 2x - 2
y = 2(4) - 2
y = 8 - 2
8 - 2 = 6
y = 6
Conclusion:
So the answer would be:
y = 6
x = 4
You can see if it's correct by putting y into 4x - y = 10.:
4x - 2 = 10
4(4) - 6 = 10
16 - 6 = 10
So that means that y and x are the correct answer.
which expression is equivalent to (-3) x + (-3) (-12)
Answer:
-3x - 15
or
-3(x + 5)
Step-by-step explanation:
-3x - 3 - 12
-3x - 15
-3(x + 5)
sorry if this doesn't help but i hope it does
Answer:
-3(x + 5)
Step-by-step explanation:
what is the difference between a population distribution and a sampling distribution
The difference between a population distribution and sampling a distribution
Definition: The Population Distribution is a form of probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
Defintion: The Sampling Distribution is a form of probability of a random sample out of a group of frequency which is made up of the sample of which the population has been picked out of, making it a partial research study
Can somebody pls help me understand this question? (Give an explanation)
Question:
Below is a graph of 2 lines. Match the line with its slope.
Answer:
l: 1
k: 2
Step-by-step explanation:
The slope of a line is "the amount it goes up divided by the amount it goes right".
So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?
In line l, it goes up one grid position for every step to the right, hence the slope is 1.
In line k, it goes up two positions for every step to the right, hence the slope there is 2.
Hope this explains it.
A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm
Answer:
-9 degrees
Step-by-step explanation:
-14 + 8 = -6
-6 + 2 = -4
-4 - 5 = -9
The temperature at 6pm dropped down to 5°.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees
We can write -
T{6 AM} = - 14°
T{12 PM} = 8°
T{3 PM} = (8 + 2)° = 10°
T{6 PM} = 10° - 5° = 5°
Therefore, the temperature at 6pm dropped down to 5°.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ5
what is 1,625 if you write it as a mathematical fraction?
Answer:
there are lots of ways. some of them are
1625/2, 3250/2, 4875/3........
what is this answer?
Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
When is christmas 2021
Answer:
IN 15 days
Step-by-step explanation:
EASY
MARK AS BRAINLIEST
Answer:
in december 23-24
Step-by-step explanation:
i gueess
PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.
Enter your answer in the box.
units
Answer:
6
Step-by-step explanation:
Find the value of the expression 8a +b, if a=3 and b= 1
a) 23 b) 29 c) 30 d) 25
8a + b
a=3
b=1
(8×3)+1
=24+1
=25
the answer is d)25
Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.
Answer:
if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.
pls help me with this:((((
Find the slope of the line passing through the points (-6, 1) and (-7,5).
Answer:
y = -4x – 23
Hope this helps :)
It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?
Solve the inequality
4x - 19 ≥ -27
Answer:
x ≥ -2
Step-by-step explanation:
Hope this helps!
What’s the answer?? I need asap!
Answer:
120°
Step-by-step explanation:
Opposite angles in a cross of 2 lines like this are equal;
A = 120 and B = D = 60°
Answer:
∠ A = 120°
Step-by-step explanation:
∠ A and 120° are vertically opposite angles and are congruent , so
∠ A = 120°
You know the following information about triangle ABC and triangle DEF:
AB-DE and
What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF
Answer:
(b) AC = DF
Step-by-step explanation:
In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)
The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.
The relation between other angles is irrelevant to SAS, so choice C is ruled out.
Choice B: AC = DF will supply the information necessary to show congruence by SAS.
✺༒Question༒✺
Refer to attachment
Nonsence answer will get report
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
(i) 64(ii) 729(iii) 121(iv) 625Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
REFER TO ATTACHMENT
I HOPE IT IS HELPFUL