The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Given the system of linear equations:
-3x + 2y = 8 ---> eqn. 1
3x + 2y = -6 ---> eqn. 1
First add both equations together:
Step 1: 4y = 2
Next, divide both sides by 4:
Step 2: y = 2/4
y = 0.5
Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
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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
Plzzz help me.please reply fast
Answer:
x=458
Step-by-step explanation:
1729-810=919
919-790=129
810-129=681
681-112=569
112-1=111
569-111= 458 (which is the answer)
Answer:
I get 458, but please check the calculations.
Step-by-step explanation:
See attachment. I worked down the pyramid until I has enough information to calculate x. For example, 919 had to be the difference of (1729 - 810) for a sum of 1729. 129 had to be the difference of (919-790). 681 is the difference of (810 - 129). And so on . . .
6. Find the value of y.
5
16
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
HOME WORK DUE SOON PLZ HELP!!!!!
what is the slope of this graph?
Answer
16
Step-by-step explanation:
slope go up 16 every time
5.37 + x =12.89 explanation please it’s two step equation
Answer:
7.52
Step-by-step explanation:
5.37 + x = 12.89
In order to solve this equation, we must isolate the variable, x.
1.) To do this, subtract 5.37 on both sides of the equation.
5.37 + x = 12.89
-5.37 -5.37
x = 7.52
Therefore, x = 7.52
Answer:
Answers of given questions are written below :
1) x = 7.522) x = 113) x = 2.5Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]
5.37 + x = 12.89
[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]
[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]
[tex] \implies{\tt{ x = 7.52}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]
Hence, the value of x is 7.52
[tex]\begin{gathered}\end{gathered}[/tex]
42 = 6x - 24
[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 66}}[/tex]
[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]
[tex] \longmapsto{\sf{x = 11}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]
Hence, the value of x is 11.
[tex]\begin{gathered}\end{gathered}[/tex]
10x + 25 = 50
[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]
[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]
[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]
Hence, the value of x is 2.5.
[tex]\rule{300}{2.5}[/tex]
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
HELP GIVING BRAINLIEST!
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
someone please help i do not understand i will give you brainlyest
Answer:you can compare 108 to the other sides :)
Step-by-step explanation:
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
Boris made $306 for 18 hours of work. At the same rate, how many hours would he have to work to make $119?
Answer:
[tex]18 = 306 \\ x = 119 \\ \\ 306x = 2142 \\ x = \frac{2142 }{306 } \\ x = 7[/tex]
Please helppp!!
I have to find the slope of the blue line that is in the graph!!
Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?
Answer:
scroll
Step-by-step explanation:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
6√2 = c
6√2 = V
(Estimate rounded = 8.49)
If there were 24 coins in all, how many more gold coins than copper coins were in the jar?
Answer: 8 (I think)
Step-by-step explanation:
There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.
1/2 of 24 is 12
1/6 of 24 is 4
12 - 4 = 8
So there are 8 more gold coins than copper.
A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?
A.
x = x
B. x= 3
C. 1=1
D. 1 = 3
Answer:
b maybe....
Step-by-step explanation:
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
1.0835 rounded to the nearest tenth
Answer:
1.1
Step-by-step explanation:
Answer:
1.1
Step-by-step explanation:
ANSWER ASAP WILL MARK BRAINLIEST
Answer:
how many
Step-by-step explanation:
16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31
The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?
Based on the information given, it should be noted that the area of the pages will be 112cm².
Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.
Therefore, the area of the pages will be calculated thus:
= Length × Width
= 8cm × 14cm
= 112cm²
Therefore, it can be concluded that the area of the pages will be 112cm².
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1/2(10p-7q) if p=9 and q=2
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
Please help me I really such at geometry
Answer:
EF, DE, DF
Step-by-step explanation:
Answer:
EF DE DF
Step-by-step explanation:
if 6 24 36 are in proportion,find the second proportional.
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9
Express 30^2/3 in simplest radical form.
Answer:
300
Step-by-step explanation:
Please help me no links or bots please and thank you please actually help me with this please
Answer:
[tex]y=-1 \frac{2}{3}x+5[/tex]
Step-by-step explanation:
y=mx+b is slope-intercept form
m= slope
b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).
The photo you have attached is very blurry but i will do my best to read the numbers on the graph.
the y-intercept looks to be at 5
so we plug that in
y=mx+5
now let's get the slope.
pick two points you can easily see,
slope is change in y over the change in x --- which is simplified below
rise over run
y2-y1 divided by x2-x1
we can see the point (0,5) and the point (3,0)
(3,0) is going to be the x2 and y2 and the other point is the x and y 1s
0-5= -5
3-0= 3
-5/3
let's simplify that
we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.
-1 2/3
that is our slope
let's plug it in:
[tex]y=-1 \frac{2}{3}x+5[/tex]
that is our answer!
A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?
Answer:
48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah
Step-by-step explanation:
Help me out please!!!!!!
Step-by-step explanation:
y = 2x + 9
y = -x - 3
there are multiple ways to solve this.
let's follow the approach that both x-expressions must be equal :
2x +9 = -x - 3
3x = -12
x = -4
y = -x - 3 = 4 - 3 = 1
If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills
Answer:
A
Step-by-step explanation:
Shivalik Hills
Hope it helps to you
:-)
Georgia is 2 years younger than 1/3 of her Aunt Mika's age. How old would Georgia be if her Aunt Mika is 27?
Answer:
7
Step-by-step explanation:
First, we have to find 1/3 of 27, which is the aunt's age.
27/3 is 9.
Now, since Georgia is 2 years younger, we have to subtract 2 from 9.
9-2=7
-hope it helps