Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:
P = Principal / initial amount
R = rate of interest per cent per year
T = number of years
A = final amount at the end of T years
Then:
A = P*(1 + R/100)^2
In our example:
P = £12000
R = 1.5 per cent per year
T = 2 years
Thus:
A = 12000*(1 + 1.5/100)^2
= 12000*(1 + 0.015)^2
= 12000*(1.015)^2
= 12000*(1.030225)
= 12362.7
Value of investment after two years = £12362.7
please do this for me
Answer:
hope it will helpful for uhh
make me brainliest plz
4. If all we were told about the diagram below was ADG, then what conclusions could you draw? Explain
your answer.
G
Answer: Points A, D, and G are collinear, meaning they all lie on the same line.
Step-by-step explanation:
△ABC ~ △ADF.
What is the length of side AC?
25. 2x + 3y = 4
- 3x + 2y = 6
Demtermine if each of the lines are perpendicular
Answer:
the lines are perpendicular
Step-by-step explanation:
The table shows a proportional relationship. What is the value of y when x = 29.4?
x
0.7
3.5
8.4
24.5
y
0.4
2
4.8
14
Answer:y=16.8
Step-by-step explanation:
proportional means that x/y= constant
so there the constant is 1.75
if x=29.4 then 29.4/y =1.75
y = 29.4/1.75
The quotient of a number and 4 is less than -1.
Answer:
inequality: n/4 < -1
n < -4
Step-by-step explanation:
1. "The quotient of a number and 4" means that we're dividing a number, n, by 4: [tex]\frac{n}{4}[/tex]. "Less than -1" means that we have to use the < (less than) sign and put -1 after it. When we put these terms in a quantity, they look like this: [tex]\frac{n}{4} < -1[/tex].
2. Now, let's solve the inequality above.
Step 1: Multiply both sides by 4.
[tex]\frac{n}{4}*4 < -1 * 4[/tex] [tex]n < -4[/tex]Therefore, the inequality is n/4 < -1, and the solution to that inequality is n < -4.
Jay pays $5.25 for 5 water bottles. What is the price per water bottle?
Answer:
1.05
Step-by-step explanation:
you do 5.25/5 and that makes 1.05
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.05 per bottle
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{\text{Price}}{\text{Number of Water Bottles}} \rightarrow\frac{5.25}{5}\rightarrow\frac{5.25/5}{5/5}\rightarrow\ \frac{1.05}{1}\rightarrow \boxed{\$1.05}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELPPP!!!!!! NO LINKS
Answer:
1/2 of an answer is zero answer.i dont know
Step-by-step explanation:
y=(a-8)²
make a the subject
Step-by-step explanation:
hope this helps, if it's wrong just tell me but I am confident it's right
explain how the inverse and the contopositivve of a conditional are alike and how they are different
Answer:
See explanation!
Step-by-step explanation:
The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.
The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.
Here is an example:
Conditional: If C, then D. (starting statement)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example, you can conclude:
Primary Similarity:
Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).
Primary Difference:
The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.
I am sure you could find more similarities/differences, but these were the two that stood out to me the most!
I hope this helps! :)
Solve for the value of m.
73°(6m-1)º
Step-by-step explanation:
6m-1+73=180 (linear pair)
6m+72=180
6m=180-72
6m=108
m=108/6
m=18°
Can someone help Find the value of f(-8)?
Answer:
Step-by-step explanation:
When y =f(-8) the answer is y = -2
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at_______.If the point is to the right of 0, then the point is located at_______.Whether the point is to the left or right of 0, the distance from 0 to the point is ____units.
Answer:
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.
Step-by-step explanation:
Have a good day :)
4x - y + z = -5
-x + y -z = 5
2x -z -1 = y
linear systems 3 variables I'm lost
Step-by-step explanation:
rewriting the third equation
[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]
add to second equation to the first
[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]
[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]
I add third equation to the second
[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]
substitute z = -3 into either one of the other two equations and solve for y
[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]
x = 0
y = 2
z = -3
Answer:
x=0,z=-3,y=2
Step-by-step explanation:
sry for late response
If 15x + 20=a(bx + c), where a, b and c are integers, and a > 1,what is
the value of a? 3, 4, 5, 10, or 15
Since a > 1, b cannot be greater than 15, hence the value of a can be 3, 4, 5, and 10
Given the expression 15x + 20=a(bx + c),
To get the value of a, we will need to factor out the given expression as shown:
15x + 20=a(bx + c)
15x + 20=abx + ac
Comparing both sides
15x = abx
15 = ab
a = 15/b
Since a > 1, b cannot be greater than 15
Hence the value of a can be 3, 4, 5, and 10
Learn more here: https://brainly.com/question/15165519
PLEASE HELP ASAP!!!!!!!!
<3
Answer:
Step-by-step explanation:
1. 9.3521x10^12
2. 8.07x10^-3
3. 8x10^8
4. 5.2x10^4
5. 4.8x10^4
6. 8.369x10^9
7. 9x10^14
8. 2x10^2
9. 2.44x10^-3
10. 9x10^4
3/4 x 7/10 = ? in a fraction simplest form
Answer
[tex]\frac{0.525}{1}[/tex]
Step-by-step explanation:
The solution to the fraction in simplest form is 21/40
How to calculate the solution to the fraction?The fraction is given as
3/4 × 7/10
The next step is to multiply both fractions
= 3×7/4×10
= 21/40
The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40
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£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer: Natasha = 480; Richard = 240, Stephen = 80
Step-by-step explanation:
Let N, R, and S stand for the amounts Natasha, Richard and Stephen receive. The problem tells us that:
N = 2R, and
R = 3S
We know that N+R+S = 800
Since N=2R and R=3S, N = 6S
N+R+S = 800
6S+3S+S=800
10S=800
S=80
R=3S or 240
N=2R or 480
Conclusion:
N gets 480
R gets 240,
and S gets 80
That adds to 800.
. . . AND the last conclusion is that I need to meet Natasha. Please send Stephen home.
Mr. La Fleur pays $130 to rent a car for a week. He also pays $5 for every 100 miles that he drives. Write an equation in slope intercept form that shows the relationship between the total cost of renting the car(y) and the number of miles that are driven (x).
Step-by-step explanation:
y+0.05x
0.05 because
5$ for 100
5$/100=0.05(for a single mile)
the distance between points S and T is 61 units. point S is located at (-6,8) and point T is at (x,-3). what could be the value of x?
The distance between two points is the number of units between them
The possible value of x is -66
The given parameters are:
[tex]\mathbf{S = (-6,8)}[/tex]
[tex]\mathbf{T = (x,-3)}[/tex]
[tex]\mathbf{ST = 61}[/tex]
Distance ST is calculated using:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]
Substitute 61 for d
[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]
Square both sides
[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]
[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]
Subtract 121 from both sides
[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]
[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]
Take square roots of both sides
[tex]\mathbf{ -6 - x = 60}[/tex]
Add 6 to both sides
[tex]\mathbf{ - x = 60 + 6}[/tex]
[tex]\mathbf{ - x = 66}[/tex]
Multiply both sides by -1
[tex]\mathbf{ x = -66}[/tex]
Hence, the possible value of x is -66
Read more about distance at:
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The line segment, AB has a point C as its midpoint. If A is at (2,2) and C is at (5,4) what are the coordinates of the endpoint B
A:(-1,0)
B:(3.5,3)
C:(5,4)
D:(8,6)
Answer:
( 8 , 6 )
Step-by-step explanation:
A = ( 2 , 2 ) and C = ( 5 , 4 )
→ Form an equation
[tex]\frac{2+x}{2} =5[/tex] and [tex]\frac{2+y}{2}=4[/tex]
→ Now solve them
2 + x = 10 and 2 + y = 6
→ Simply find the values
x = 8 and y = 6
SOLUTION :
All you need to apply is the formula of Midpoint i.e [tex] \sf{ \bold{( \frac{x_{1} + x_{2}}{2} \: , \frac{y_{1} + y_{2}}{2} )}}[/tex] Plug the known values :[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]
Equating corresponding values :[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]
[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]
[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]
[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]
Value of x = 8[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]
[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]
Value of y = 6[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]
:) Hope I helped! Let me know if you have any questions regarding my answer! ~
Luisa took a job in which her salary can be modeled by the exponential function
y = 36.000(1.025)", where x is the number of years after she is hired.
Damon took a job with a starting salary of $38.500 and yearly raises of $800.
Select EACH correct statement about the scenario.
The difference in the starting salaries is $1,600.
The difference in the starting salaries is $2,500.
The difference in the starting salaries is $2,000.
Luisa will make more money in the first 8 years.
Damon will make more money in the first 8 years.
They will make the same amount of money in the
Answer:
Step-by-step explanation:
38,500-36,000=2,500
B. The difference in the starting salaries is $2,500.
D. Luisa will make more money in the first 8 years.
The required scenario are,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.
Given that,
Luisa took a job in which her salary can be modeled by the exponential function y = 36.000(1.025)", where x is the number of years after she is hired. Damon took a job with a starting salary of $38.500 and yearly raises of $800.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
According to the question,
Difference in starting salary = 38500 - 36000 = $2500
Luisa's salary after 8 years = $43862.50
Damon's salary after 8 years = $45108.89
Thus, the required scenario is,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.
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According to financial reports, the average household credit card debt in 2010 was $7768 and in 2012 was $7117. What is the rate of change of the credit card debt per year? If this trend were to continue, how much would you expect the average household credit card debt to be in 2016?
Answer: 1953
Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.
Simplify the expression:
-7n + -2 - 6
Answer:
-7n + -8
= -7n - 8
= -(7n + 8)
Step-by-step explanation:
brainliest plz
help i forgot how to do this
Answer:
a=3/5 or 0.6
Step-by-step explanation:
a-8/5-2/3a=-7/5
Step 1: Multiply both sides
15a-24-10a=-21
Step 2: Combine like terms
5a-24=-21
Step 3: Calculate and divide both sides by 5
5a=3
Solution:
a=3/5 or 0.6
Tìm cực trị của hàm số y = 2x3 - 6x + 2.
Step-by-step explanation:
câu này 2x3 hay 2^3 vậy bạn
Explain why:
expressing 0.78 as a fraction is (78/100).
Answer:
Because in 0.78 78 is in the hundreths place so you would place 78/100
Step-by-step explanation:
Hi please I need some help
Answer:
12
Step-by-step explanation:
because 20÷1/4=5
so 5 ounces
and then the 3 ounces for yourself so 8 ounces taken away
20 - 8 = 1212 ounces leftFind the slope of a line if it goes through (2, 5) and (-2,9)
Hello!
The slope of a line is found using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{9-5}{-2-2}[/tex]
[tex]m=\frac{4}{-4}\\m=-1[/tex]
So the slope is -1.
Hope this helps!
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[tex]GraceRosalia[/tex]
Which of the following situations are equal to 90%? Select all that apply.
A) 18 out of 24
B) 18 out of 20
C) 36 out of 40
D) 54 out of 60
E) 81 out of 90