Find the interest Earned
$1200 at 7% for 5 years
Show ur work please and thanks
Answer:
84
Step-by-step explanation:
So,
1% of 1200 = 12
12x7 = 84
Which point could be on the line that is parallel to line KL and passes through point M?
(–10, 0)
(–6, 2)
(0, –6)
(8, –10)
Answer:
D. (8, –10)
Step-by-step explanation:
(8, -10) passes through this line.
The correct option is D
What is Coordinate Geometry?
By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
We are given a line KL in the diagram, and we have to find out which point out of the given options will satisfy the equation of the line which is parallel to KL and passes through M.
Using the intercept form equation of line KL:
x/a + y/b = 1 [a and b are x and y intercepts respectively]
x/6 + y/4 = 1
4x + 6y = 24
Slope of this line = -a/b = -4/6 = -2/3
The line parallel to this will have the same slope and should pass through (-4, -2)
y - (-4) = (-2)/3 [x - (-2)]
y + 4 = (-2/3)[x + 2]
3y + 12 = -2x - 4
2x + 3y + 14 = 0
Clearly (8, -10) passes through this line.
2(8) + 3(-10) + 14 = 0
Hence, (8, -10) passes through this line.
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PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformations:
Reflect over y-axis, shift right 7, vertical stretch by 12
Answer:
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
Step-by-step explanation:
The parent function is
[tex]g(x) = e {}^{x} [/tex]
First it is asked to reflect over the y axis so using the rule
[tex]g(x) = g( - x)[/tex]
Our function looks like
[tex]g(x) = e {}^{ - x} [/tex]
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
[tex]g(x) = g(x - h)[/tex]
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
[tex]g(x) = a \times g(x)[/tex]
where a is the vertical stretch. So now it would look like
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
a cone with a radius of 3 cm and a height of 3 cm
Answer: ⇒V=π×32×53=45×π3≈47.124 cubic cm
Hope this helps!!
1. Write and simplify an expression that represents the length of the south side of the field 2. Write and simplify a polynomial expression that represents the perimeter of the pumpkin field. 3. What is on reason why the perimeter of the pumpkin field would be useful to Farmer Bob? 4. What is the perimeter of the potato field? 5. Write and simplify a polynomial expression that represents the area of the squash field. 6. What is one reason why the calculated area of the squash field would be useful to Farmer Bob? 7. Farmer Bob realized that the pumpkins and squash will use the same soil type. What is the area of the squash and pumpkin fields combined?
Answer:
The answer is below
Step-by-step explanation:
1) The length of the south side of the field = (5x + 2) + (x² - 9) + (x² - 7x +12) = x² + x² + 5x - 7x + 2 - 9 + 12 = 2x² - 2x + 5
2) The perimeter of pumpkin field = 2(length + breadth) = 2[(5x - 2) + (5x + 2)] = 2[5x + 5x - 2 + 2] = 2(10x)
The perimeter of pumpkin field = 20x
3) The perimeter of pumpkin field is useful in case Bob wants to fence the pumpkin field.
4) The perimeter of potato field = 2(length + breadth) = 2[(x + 6) + (x² - 7x + 12)] = 2[x² - 7x + x + 6 + 12] = 2(x² - 6x + 18)
The perimeter of potato field = 2x² - 12x + 36
5) Area of squash field = length * breadth = (4x) * (x)
Area of squash field = 4x²
6) The area of the squash field would be important if Bob want to determine the number of squash seeds that would be enough for the field.
7) Area of pumpkin field = length * breadth = (5x - 2) * (5x + 2) = 25x² + 10x - 10x - 4
Area of pumpkin field = 25x² - 4
Area of pumpkin field and squash field = 4x² + (25x² - 4) = 29x² - 4
Which set of numbers has 11 as a common factor? {154, 231} {143, 221} {33, 39} {77, 91}
The set of numbers that have 11 as a common factor is {154, 231}.
What are common factors?The number that divides two or more numbers is called a common factor.
Given are the pair of numbers as -
{154, 231}
{143, 221}
{33, 39}
{77, 91}
The pair of numbers with the common factor 11 is {154, 231}.
Therefore, the set of numbers that have 11 as a common factor is {154, 231}.
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Mike's younger brother likes to ride his bike. If the wheels have a radius of 25 cm, determine how far the wheel travels in 2 revolutions.
Answer:
Intwo full revolutions,the wheel will travel 314 cm
Step-by-step explanation:
Recall that in one full revolution, the wheel will tavel the length of the wheel's circumference, That is:
In each revolution the wheel will cover 2 pi R = 2 * 3.14 * 25 cm = 157 cm
Therefore, in2 full revolutions, the wheel will cover twice this amount:
In 2 revolutions the wheel will travel: 2 * 157 cm = 314 cm.
Answer:
410
Step-by-step explanation:
Three out of every seven candies sold were chocolate. If 210 candies were sold,
how many were chocolate?
Answer: 90
Step-by-step explanation:
210/7 is 30 times 3 is 90
What is the measure of angle C?
Answer:
49°
Step-by-step explanation:
First, solve for x.
3x-7+2x+17=90
5x+10=90
5x=80
x=16
Then put 16 in for x.
2(16)+17=
32+17=49
Which two expressions are equivalent?
Answer:
option 3
Step-by-step explanation:
12 - (y*2) = 12 - (2*y) Commutative property
2*y = y*2
Someone please help
Answer:
100
Step-by-step explanation:
360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.
simplify this expression
-1/2 (15/6 + 1/3)
Answer:
-17/12
Step-by-step explanation:
Ugh I need so much help please
Answer:
Step-by-step explanation:
Remember the SAS rule is that you know the measure of 2 sides and their angle in between. (Note that SSA side side angle DOESN'T work.) For the first question we know that sides JH and LM are congruent, and sides GJ and MK are as well. Secondly, we know that angles M and J are congruent. The question is; does this problem follow the SAS (side angle side) rule? Yes, their are two proven congruent sides on the two triangles, and the angle between them is proven congruent as well.
Second one is congruent because it follows the SSS rule (side side side) ie: all sides are congruent, so therefore the triangles are congruent.
Think about the third one. Is it congruent or not. (To be congruent it has to follow SSS, or SAS) Comment below so I can correct you.
which of the following best describes the quadratic function below ?
A. a parent function
B. an inverse function
C. opens right
D. opens down
Option A is correct, a parent function best describes the quadratic function.
The quadratic function with a vertex at the origin and opening upward is best described as a parent function.
A parent function is the most basic form of a particular type of function.
In the case of quadratic functions, the parent function is f(x) = x².
It has a vertex at the origin (0, 0) and opens upward.
Therefore, a parent function best describes the quadratic function.
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I NEED HELP ASAP PLEASE HELP ME
Answer:
102
Step-by-step explanation:
Has to equal up to 180° so 180-78 gives you 102.
Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?
help me out not all just what you can
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
probability that it will be a blue or a red marble?
Answer:
I would say it would be in the middle
Step-by-step explanation:
Answer: the answer would be 52% :)
Step-by-step explanation:
A marching band has 80 members.
The ratio of members who play wind instruments to all others is 2 to 3.
How many members play wind instruments?
Answer:
30 members will play wind instruments
Answer:
30 would be the answer to the ?
“Half of a number (n) is at least 22."
translate and solve
Answer:
n >_44
Step-by-step explanation:
1/2n>_22
(times 2 on both sides)
n >_44
*** >_ is greater than or equal to sign
What 28 over 3 as a mixed number
Is one half greater than four fifths
Answer:
No, it is not greater than four fifths.
Step-by-step explanation:
Well 1/2 of 4/5 would be about 2.5/5. So summing it up. . .
Can someone help me please!!
Answer:
the y=4 because the line is going through the y axis and the 4 and the the equation is -2x+4
Step-by-step explanation:
Find the number of groups and the number left over of 11÷3
4. If Sean has about 130 pieces of candy, what
are 3 amounts of candy he could actually
have?
on
Answer:
EXPLAIN
Step-by-step explanation:EXPLAIN
EXAMPLE
Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level
Use order of operations to simplify 6 squared - (5 -4) + 2( 8 - 2 squared) divided by 8
Given that 1 gallon is equal to 8 pints, how many pints are in 8 gallons?
Answer:
64 pints in 8 gallons :))
Amelia started with $54, and spent $6 each day at camp. She has $18 left. Write and solve an equation to find how many days d Amelia was at camp
Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!
Answer:
1. x = 65
2. x = 40
3. x = -7
4. x = -4
5. x = -7
6. x = 4
Step-by-step explanation:
Angles in a triangle always add up to 180 degrees.
Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.
1. 180 = 80 + 35 + x
180 - (80 + 35) = x
180 - 115 = x
65 = x
2. 180 = 70 + 70 + x
180 - (70 + 70) = x
180 - 140 = x
40 = x
3. 180 = 76 + 41 + (x+ 70)
180 - (76 + 41) = x + 70
180 - 117 = x + 70
63 = x + 70
63 - 70 = x
-7 = x
4. (the red square means its a right angle = 90 degrees)
180 = 90 + 25 + (x + 69)
180 - (90 + 25) = x + 69
180 - 115 = x + 69
65 = x + 69
65 - 69 = x
x = -4
5. 180 = 50 + (57 +x) + (x + 87)
180 - 50 = (57 +x) + (x + 87)
130 = (57 +x) + (x + 87)
combine like terms
130 = 144 + 2x
130 - 144 = 2x
-14 = 2x
-7 = x
6. 180 = 80 + (9x + 4) + (16x - 4)
180 - 80 = (9x + 4) + (16x - 4)
100 = (9x + 4) + (16x - 4)
combine like terms
100 = 25x + 0
100 = 25x
4 = x