The total value of the investment after 3 years given the amount invested is $12,774.
What is the total value of the investment?The total value of the investment is the sum of the amount invested and the interest earned.
The total value of the investment = amount invested + simple interest earned
$12,0000 + (principal x time x interest rate)
$12,000 + (12,000 x 0.0215 x 3) = $12,774
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The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identify g in vertex form.
g(x) = −5(x − 3)2
g(x) = −5x2 − 3
g(x) = −5(x + 3)2
g(x) = −5x2 + 3
Answer:
g(x) = −5x2 − 3
Step-by-step explanation:
did the homework and this was the right answer.
The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The parent function is,
⇒ f (x) = x²
Now,
After the reflection across the x - axis, we get;
f (x) = - f (x)
Thus, The function is,
g (x) = - x²
And, Vertically stretched by a factor of 5, we get;
g (x) = - 5x²
And, Translated 3 units down, we get;
g (x) = - 5x² - 3
Thus, The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
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A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone
Answer:
The answer is 6.
Step-by-step explanation:
If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.
You would divide 270 ÷ 45 = 6.
The required number of teachers for the trip is 12.
Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.
Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.
at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12
Thus, the required number of teachers for the trip is 12.
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The length of a rectangle is 4 cm longer than the width the perimeter is no more than 28 cm what are the maximum possible dimensions for the rectangle
Answer:
Width <= 5 and length <= 9
Step-by-step explanation:
Width: x
Length: x+4
2x + 2(x+4) <= 28 (less or equal)
2x + 2x + 8 <= 28
4x <= 28-8
x <= 20/4
x <= 5
If length of a rectangle is 4 cm longer than the width the perimeter is no more than 28 cm. Then length of rectangle is lesser than or equal to 5 and width is lesser than or equal to 9.
What is Area of Rectangle?The area of Rectangle is length times of width.
Let us consider width of rectangle be w= x cm
From given length of a rectangle is 4 cm longer than the width
l=(x+4)cm
The perimeter of rectangle =2(Length+width)
=2(x+x+4)
=2(2x+4)
=4x+8
the perimeter is no more than 28 cm
4x+8≤28
Subtract 8 on both sides
4x≤20
Divide both sides by 4
x≤5
Hence length of rectangle is lesser than or equal to 5 and width is lesser than or equal to 9.
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I need help good amont of points too!!
Answer:
The answer is B, the second one
Step-by-step explanation:
You have to reduce 700 and 4
4 ÷ 4 = 1
700 ÷ 4 = 175
The 175 goes first so it would be 175 to 1
Hope this helps!
Answer:
175 to 1
Step-by-step explanation:
had the same test too
A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?
Answer: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Find:
You can see that vectors and This means that opposite sides are parallel and option B is false.
Find the lengths of all sides:
As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.
Now check whether angles A and B are perpendicular:
The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides
AKA your correct awnser choice is A :)✨
NO LINKS PLEASE!
solve for X.
Answer:
4
Step-by-step explanation:
Intersecting Chords Formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
(4x+2) *8 = 9*4x
32x+16 = 36x
Subtract 32x from each side
32x+16 -32x = 36x-32x
16 = 4x
Divide by 4
16/4 = 4x/4
4 =x
Answer:
Num. 3.) the answer is 4
hope it helps you, be safe and tell me if im wrong :D
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Which relations represent functions? Select all that apply. (25 Points)
The decimal -2.97 is the solution to which subtraction problem?
Answer:
-6.1-(-3.13) is the equation that equals -2.97
Step-by-step explanation:
Answer:
2.97
Step-by-step explanation:
I had the question
Pls answer this question
Answer:
1/100
Step-by-step explanation:
Because we are talking about the relationship of 2021 to 2019, we want to put 2021 over 2019:
280,000/28,000,000 = 1/100
What is the circumference of a circle with a radius of 40?
Answer:
C ≈ 251.33
Step-by-step explanation:
The circumference of a circle is C = 2πr
Radius = r = 40 is given in the problem
C = 2* 3.14 * 40
C ≈ 251.33
Answer:
251.2
Step-by-step explanation:
Given,
Radius ( r ) = 40
To find : Circumference of a circle = ?
Formula : -
Circumference of a circle = 2πr
Note : -
The value of π is :
22 / 7 ( in fraction ).3.14 ( in decimal ).Solution : -
Circumference of a circle = 2πr
= 2 x 3.14 x 40
Circumference of a circle = 251.2
Therefore,
Circumference of a circle is 251.2
SOLVE THE INEQAULITY: −7w > 49
I need help solving this!!!
Answer:
do the work if you think its easy
Evaluate the expression when a=33 and b=5 .
a-{20}{b}[/tex]
Step-by-step explanation:
a = 33
b = 5
= a - 20/b
= 33 - 20/5
= 33 - 4
= 29
Miguel bought 7 pounds of apples for $.78 per pound and pay for them with a $10 bill how much did you get back and change
If A is 4x4 matrix |A|=4 then |2A²| =
Answer:
64
Step-by-step explanation:
Aisa4×4matrixand∣A∣=4
∣adjA∣=∣A∣
n−1
=∣A∣
3
Hence∣adjA∣=64
Beth saved $30 while Carmen saved $80. If Carmen saves $240, how much will Beth save?
Answer:
240÷80
=3
3×30
90
HOPE IT HELPS
what is 11/40 as a percentage
Answer:
27.5%
Step-by-step explanation:
Answer: 27.5%
Step-by-step explanation: 11/40 = 27.5/100 = 27.5%
1) Use the distributive property to factor the expression.
-24x+64
Answer:
-8(3x-8)
Step-by-step explanation:
Factor -8 out of -24x+64
write an equation of a line that goes with a slope of 1/2, and y-intercept -2.
Answer:
y+2=-2(x+1)
Step-by-step explanation:
hope this helps
Which expression can be used to check the answer to 56➗(-4)=-4?
-14x-4
-4=(-14)
56%(-14)
-4-5
Answer:
-14 × -4
Step-by-step explanation:
56 ÷ -4 = -4
To check your answer to a problem you will start with the answer you got when you divided times the answer to the problem, will give you the number you started with.
-14 × -4 = 56
Tyler has a 5-gallon jug (which holds 80 cups) to use for his lemonade stand and 16 cups of lemonade mix. Which lemonade recipe should he use?
Answer:
4 cups of water per one cup of lemonade mix
Step-by-step explanation:
80 - 16 = 64
64/16=4
4 cups per cup
4 cups of water per one cup of lemonade mix.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, we have,
80 - 16 = 64
64/16=4
Hence, 4 cups per cup of lemonade mix.
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If the measure of angle 1 = - 9x + 6, and the measure of angle 2 = 2 (5x – 3), find x.
Answer:
x = 12
Step-by-step explanation:
The angle vertically opposite to ∠ 2 is corresponding to ∠ 1 and congruent, so
∠ 2 = ∠ 1 , substitute values
2(5x - 3) = 9x + 6 ← distribute parenthesis on left side
10x - 6 = 9x + 6 ( subtract 9x from both sides )
x - 6 = 6 ( add 6 to both sides )
x = 12
What does x equal?
Solve:
5x^2+5x-4=2x-3
Answer:
[tex]x=\frac{-3+\sqrt{29} }{10}[/tex] and [tex]x=\frac{-3-\sqrt{29} }{10}[/tex]
Step-by-step explanation:
Solution is attached
Answer:
X= 1
Step-by-step explanation:
5x^2 +5x-4=2x-3. 25x+5x=30x
25x+5x-4=2x-3.
30x-4=2x-3. 30x-2= 28x
28x-4=-3
add +4 to both sides
28x/28 = 1/28
x=1
A 50% decrease followed by a 100% increase is it less than, greater than, or equal
Answer:
equal to
Step-by-step explanation:
let's use the number 100
50% decrease of 100 leaves 50
a 100% increase of 50 is back to 100
Answer:
It is greater because 80x%50=40x%100=200
Step-by-step explanation:
Solve the system of equations below for x, y, and z.
4x – 2y + 3z = 9
x - 2y=-3
2x + 3y=1
What is the solution (x, y, z)?
The solution to given system of equations are x = -1, y = 1 and z = 5 which is determined by the substitution method.
The given system of equations below as
4x – 2y + 3z = 9 ....(i)
x - 2y = -3 ....(ii)
2x + 3y = 1 ....(iii)
By equation (ii) and solving for x to get
x - 2y = -3
x = 2y - 3 ....(iv)
Substitute the value of x = 2y - 3 in the equation (iii)
2(2y - 3) + 3y = 1
4y - 6 + 3y = 1
7y = 7
y = 1
Substitute the value of y = 1 in equation (iv) to get,
x = 2(1) - 3
x = -1
Substitute the values of x = -1 and y = 1 in equation (i), and solve for z
4(-1) – 2(1) + 3z = 9
-4 - 2 + 3z = 9
3z = 15
z = 5
Therefore, the solution to given system of equation are x = -1, y = 1 and z = 5.
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-32x^4 ÷ 8x^2
Solve urgent plz..
Answer:
⇛-4x².
Step-by-step explanation:
Given expression;
-32x^4 ÷ 8x^2
-32 = -2*2*2*2*2*x*x*x*x8x^2 = 2*2*2*x*xSo, -32x^4 ÷ 8x^2
⇛-32x^4/8x^2
⇛(-2*2*2*2*2*x*x*x*x)/(2*2*2*x*x)
⇛-2*2*x*x
⇛-4x² Ans.
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How do you factor 8x^4 -32x^2=0
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If you have any doubt, then you can ask me in the comments.
Find the value of 3x
Answer:
270
Step-by-step explanation:
Since you have the value of x as 90
3x=3*90
3x=270
What is the value of 84−−√12?
Enter your answer as a whole number, like this: 42
Answer:the answer is 2 Step-by-step explanation: i took the test
The value of the given expression is 87.46.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
E = 84-( -√12)
Two negative signs cancel out into a positive sign
E =84 + √12
84 plus the square root of 12. The square root of 12 is 3.5 or 3.46.
E = 84 + 3.46
E = 87.46
Therefore, the value of the given expression is 87.46.
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Just trying to see if my answer is correct if not please correct me <3
Answer:
right it right
The steps to convert 17 over 4 to a decimal are shown below:
In what step is the first error?
step 1
step 2
step 3
step 4
