Answer:
Step-by-step think she needs 2.73861528462
The amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years.
Rate = 2.6 %
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = P× 2.6% × 3
6,500 = P× 2.6/100 × 3
P = 22,727.27
Hence, the amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.
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PLEASE HELP I AM BEING TIMED.
A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answer:
y=1/3-1 ...............
There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?
Please help
Answer: 9:7
Subtract 32 by 14, because there are 14 red marbles.
32 - 14 = 18.
Now, get the numbers 14 and 18. Reduce them to the lowest.
18 ÷ 2 = 9
14 ÷ 2 = 7
Make 9 & 7 to a ration.
Ration- 9:7
================================================
Explanation
There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.
The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).
The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
Please help me I really need it this is due ASAP I will give you 16 points
No, the coordinates can not be the solution to find the answer. I know this because to find a slope-intercept equation you would need to have 2 coordinates. You would need 2 coordinates to first find the slope of the equation (m) in the equation y=mx+b.
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
Answer:
y=0.25x+3
Step-by-step explanation:
write a situation to represent the equation y=0.5x
Answer:
John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?
Pretty simple, hopefully it is good enough, hope this helps!
A line's equation is a unified representation of all of the line's points.
Find the equation of the line pass though origin and slope 1/2 ?
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.To learn more about : Equation of a line.
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HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24
Answer:
5:20 3:12
Step-by-step explanation:
The first number is 1/4 the size of the second number, hence thise being correct.
Find the quotient.
(Idk what it means I’m kinda confused)
Answer:
1 1/3
Step-by-step explanation:
-4/9 ÷ -1/3
Copy dot flip
-4/9 * -3/1
Rewriting
-4/1 * -3/9
simplify
-4/1 * -1/3
Multiply
4/3
Change to a mixed number
1 1/3
Answer:
So the quotient is when you divide so it would be the last one 1 and 1/3
Step-by-step explanation:
-4/9x3/-1(flip the reciprocal)
-12/-9
remove both negatives
simplify and divide both by three and you should get 4/3 which is 1 1/3
Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
[tex]\frac{5-2}{7- (-4)}[/tex] = [tex]\frac{3}{11}[/tex]
PLEASE HELP !!!!!!!!!!!! ASAP
If set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is
Step-by-step explanation:
AuB={3,4,7,9}U{8,9,10,11}
Graph a line that contains the point -6,1 and has a slope of 5
Answer:
y=5x+31
Step-by-step explanation:
y=mx+b
1=(-6*5)+b
1=-30+b
31=b
y=5x+31
(5*-6)+31
-30+31
1
you can also graph a line on desmos
Figure out what x and y are. Please explain well!
Answer:
(2y+50)+(7x-248)=180 (solve for x and y) supplementary angles add up to 180 and these two angles are supplementary complements
(5y-17) + (x+44) = 180 (solve for x and y)
Step-by-step explanation:
For three consecutive plays, the Patriots gained
12 yards per play. On the next play, they lost 5
yards. What is the change in field position for
these four plays?
Answer:
The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.
Step-by-step explanation:
Write a sentence as an equation using the given information in each problem.
1. Write the sentence as an equation.
the product of 371 and d is the same as 52
2. Write the sentence as an equation. n decreased by 320 is equal to 139
3. Write the sentence as an equation. 317 is equal to k plus 110
4. Write the sentence as an equation.
the total of 374 and k is the same as 305
5. Write the sentence as an equation. 398 is the same as d plus 6
Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
27. Which ordered pair fits the function h(x) = x2 + 3 ?
A) (3,9)
B) (2,4)
C) (-3,12)
D) (-2,-1)
B
С
D
What is an equation of the line that passes through the points (6,4) and (4,1)
First, you find the slope.
This is done by plugging in to the equation y2 - y1 / x2 - x1
Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.
4-1 / 6-4 = 3/2
The slope is 3/2.
Now, y = 3/2 x +b
To solve for b, plug in a point.
I plugged in (6, 4)
4 = 3/2(6) + b
4 = 9 + b
-5 = b
So, the equation is y = 3/2 x - 5
Hope this helps
[tex]y = \frac{3}{2} x - 5[/tex]
Match the side and angle measures of each triangle to its correct classification.
Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene
Step-by-step explanation:
Trust me
We can match like this
Angle measures : 38 degrees, 38 degrees and 104 degrees
Side lengths : 8 inches, 8 inches, 11 inches
Obtuse Isosceles Triangle
Angle measures : 22 degrees, 68 degrees, 90 degrees
Side lengths : 5 inches, 12 inches, 13 inches
Right scalene triangle
Angle measure : 26 degrees, 36 degrees, 118 degrees
Side lengths : 1.5 inches, 2 inches, 3 inches
Obtuse scalene triangle
Angle measure : 60 degrees, 60 degrees, 60 degrees
Side length : 4 inches, 4 inches, 4 inches
Acute equilateral triangle
What is an obtuse scalene triangle?"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."
What is a right scalene triangle?"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."
What is an obtuse isosceles triangle?"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."
What is acute equilateral triangle?"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."
In the first option
Angle measures : 38 degrees, 38 degrees and 104 degrees
Side lengths : 8 inches, 8 inches, 11 inches
We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.
The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.
In the second option
Angle measures : 22 degrees, 68 degrees, 90 degrees
Side lengths : 5 inches, 12 inches, 13 inches
We can observe that one of the angle is right angle and all sides are different.
A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.
In the third option
Angle measure : 26 degrees, 36 degrees, 118 degrees
Side lengths : 1.5 inches, 2 inches, 3 inches
We can observe that an angle is greater than 90 degrees and all the sides with different lengths.
An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.
In the fourth option
Angle measure : 60 degrees, 60 degrees, 60 degrees
Side length : 4 inches, 4 inches, 4 inches
We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.
In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.
We can match like this
Angle measures : 38 degrees, 38 degrees and 104 degrees
Side lengths : 8 inches, 8 inches, 11 inches
Obtuse Isosceles Triangle
Angle measures : 22 degrees, 68 degrees, 90 degrees
Side lengths : 5 inches, 12 inches, 13 inches
Right scalene triangle
Angle measure : 26 degrees, 36 degrees, 118 degrees
Side lengths : 1.5 inches, 2 inches, 3 inches
Obtuse scalene triangle
Angle measure : 60 degrees, 60 degrees, 60 degrees
Side length : 4 inches, 4 inches, 4 inches
Acute equilateral triangle
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Sam is seven times as old as Tim.If Sam is 42 how old is Tim?
Answer:6 because 42/7=6
Step-by-step explanation:
Please help. I'm desperate!!!!!!!!!!!
The rent of a bowling lane is $25 for 5 minutes.
How much per minute?
Answer:
5 dollars
Step-by-step explanation:
In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER
Step-by-step explanation:
Here you go, I tried my best
cheers
The original fraction is [tex]\frac{4}{8}[/tex]
Let the numerator = a
Let the denominator = b
Denominator is 4 larger than the numerator: b = a + 4
2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2
The algebraic equation from the given statement is formed as follows;
[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]
The original fraction is calculated as follows;
[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]
Thus, the original fraction is [tex]\frac{4}{8}[/tex]
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Find the gradient of the line segment between the points (10,-4) and (6,-16).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-4) and (6,-16)
We have
[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you
NEED HELP ASAP PLEASE.
Step-by-step explanation:
true i think i think its true
Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
Answer: 9 (with a margin of: 0)
Step-by-step explanation:
Times everything by 5
That gives you 15 + 10w = 105.
Subtract 15 from both sides
Divide by 10 to get w by itself
Then you solve
PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
Answer:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
Pls help dont lie
Or else I get wrecked
Answer:
19.20
Step-by-step explanation:
P.S im not a genius
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
Which of the following is equivalent to 6-3?
A
-1/216
B
216
C
-216
D
1/216
Answer: Im not sure if this is correct I just need points. B
Step-by-step explanation:
Option D is correct, 1/216 is the equivalent expression of 6⁻³ .
The given expression is 6⁻³.
Six to the power of minus three.
We have to find the equivalent expression.
Equivalent expression are expressions whose value is same but looks different.
6⁻³ can be written as 1/6³.
1/6×6×6
1/216.
Hence, 1/216 is the equivalent expression of 6⁻³ .
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