Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
[tex]t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150[/tex]
substitute in the formula above
[tex]I=P_1(r_1t)+P_2(r_2t)[/tex]
[tex]1,150=x(0.0525*1)+(25,000-x)(0.04*1)[/tex]
Solve for x
[tex]1,150=0.0525x+1,000-0.04x[/tex]
[tex]0.0525x-0.04x=1,150-1,000[/tex]
[tex]0.0125x=150[/tex]
[tex]x=\$12,000[/tex]
[tex]|$25,000-x=\$13,000[/tex]
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Answer:
Step-by-step explanation:
Let x be the investment at 5.25% and y at 4%
Then we have
[tex]x+y =25000\\5.25x+4y = 115000[/tex]
We have to solve this system to get x and y
Multiply I equation by 4
[tex]100000=4x+4y\\115000=5.25x+4y\\-----------------------------\\15000 = 1.25x\\x = 12000\\y =25000-12000 = 13000[/tex]
12000 should be invested in 5.25% and 13000 in 4% interest.
Select all of the angles that have a positive measure
Answer: angle 2, 5, and 6
Step-by-step explanation:
edge 2023
In mathematics, angles have a positive measure when they are measured counterclockwise from the reference line or origin.
Explanation:In mathematics, angles can be measured in positive or negative degrees or radians. An angle is considered to have a positive measure if it is measured in the counterclockwise direction. Therefore, any angle that is measured counterclockwise from the reference line or origin is considered to have a positive measure.
For example, if we have a line segment and we measure an angle of 60 degrees counterclockwise from the positive x-axis, the angle has a positive measure. Similarly, if we measure an angle of 45 degrees counterclockwise from the positive y-axis, the angle also has a positive measure.
The volume of a sphere is 3,052.08 units cubed. What is its diameter?
18 units
20 units
31 units
47 units
The discount on a new copier was $220. This was a discount of 14%
A path starts and ends at the same vertex.
False
No it does not. False
Select the action you would use to solve x-3= 12. Then select the property that justifies that action.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3,
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
Answer:
a
Step-by-step explanation:
you would add three to both sides because you are subtracting on the left side, so you would use inverse operations
Answer:
A &d
Step-by-step explanation:
A pex
6. What word describes the equal
shares of the shape?
Answer:
bisection, trisection etc.
Step-by-step explanation:
It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.
which equation could be used to create the graph?
Answers
A y=x -2
B y=x -4
C y= x/3
D y=3x
Answer:
C
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus
y = [tex]\frac{1}{3}[/tex] x
Or
y = [tex]\frac{x}{3}[/tex] → C
Answer:
C
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus
y = \frac{1}{3} x
Or
y = \frac{x}{3} → C
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Which describes Myra’s distance as time increases
Answer:
mathw ay .com
Step-by-step explanation:
Question:
The table shows the total distance that Myra runs over different time periods.
Which describes Myra’s distance as time increases?
Answer:
A.) Increasing.
What is the absolute value of -3/8? A. 0 B. -3/8 C. 3/8 D. -3/8 or 3/8
The answer is 3/8. The absolute value of a number is its distance from zero on the number line.
Answer:
The answer is 3/8. The absolute value of a number is its distance from zero on the number line.
Step-by-step explanation:
2. Simplify the expression.
7 + 10x - 7 + 7x
Please Help!!!
Answer:
17x
Step-by-step explanation:
10+7 = 17
7-7 = 0
What is 5/1 • 7 3/6 and 3 1/3 • 2 2/4 simplify?
Answer:
The first one is 35 5/6. The second is 8 1/3
Step-by-step explanation:
5/1 * 7 3/6
= 5/1 * 45/6
=215/6
= 35 5/6
3 1/3 * 2 2/4
= 10/3 * 10/4
= 100/12
= 8 1/3
Ripley told his mom that multiplying whole numbers by multiples of 10 was easy because you just count zeros in the factors and put them in the product. He used these two examples to explain his strategy.
7,000 × 600 = 4,200,000
(3 zeros) (2 zeros) (5 zeros)
800 × 700 = 560,000
(2 zeros) (2 zeros) (4 zeros)
Ripley’s mom said his strategy will not always work. Why not? Give an example.
Answer:
She is right, it won´t always work.
Step-by-step explanation:
Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.
Example:
200 x 500 = 100,000
(2 Zeros) (2 zeros) (5 zeros)
Best of luck.
Evaluate the expression when a=6 and y=7-a+5y
Answer:
29
Step-by-step explanation:
Substitute a = 6 and y = 7 into the expression
- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29
Shaunee won 79 tickets at Chuck e' Cheese's. She
kept 25 of them, and split the rest evenly between 3
friends. How many did each friend get?
Answer:
Step-by-step explanation:
From the problem statement, we can set up the following equation:
[tex]3N + S = 79[/tex]
where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:
[tex]3N + 25 = 79[/tex]
Subtracting 25 from each side gives us the following:
[tex]3N = 54[/tex]
Dividing both sides by 3 gives us the answer:
[tex]N = 18[/tex]
79 tickets minus 25 is 54
Shawnee has 54 tickets to split between her friends.
54 divided by 3 friends equals 18 tickets.
You can check the answer by multiplying: 18x3 equals 54.
Hence, her friends each got 18 tickets...
On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4). Which explains why the graph is not a function? It is not a function because the points are not connected to each other. It is not a function because the points are not related by a single equation. It is not a function because there are two different x-values for a single y-value. It is not a function because there are two different y-values for a single x-value.
Answer:
Last option: It is not a function because there are two different y-values for a single x-value.
Step-by-step explanation:
It is necessary to remember that, by definition, a relation is a function if each input value (x-value) has one and only one output value (x-value) .
In this case, the following points:
[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]
You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:
[tex]y=-2\\\\ y=4[/tex]
Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.
Answer:
t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.
Step-by-step explanation:
(This is the answer form the assignment if it helps)
Which numbers are 3 units from −6 on this number line?
Drag and drop all of the numbers that are 3 units from −6 to their correct position on the number line.
-9 and -3 are both 3 units from -6 on the number line.
Answer: -9 and -3 are numbers which are 3 units from -6 on the number line.
Step-by-step explanation:
Since we have given that
3 units from -6 on the number line.
As we know that
there is right hand side and left hand side on the number line.
Left hand side is for negative numbers, and right hand side is for positive numbers.
So, the number which is 3 units from -6 on the left is given by
[tex]-6-3=-9\ units[/tex]
The number which is 3 units from -6 on the right is given by
[tex]-6+3=-3\ units[/tex]
Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.
which of these sets of angle measures could be three angles in a triangle
A) 40° , 50°, 60°
B) 50°, 60°,70°
C) 60°, 70°, 80°
D) 70°, 80°,90°
The measure of angles in a triangle are 50°, 60° and 70°.
Option B is true.
What is Triangle?
A triangle is a three sided polygon, which has three vertices and with three angles.
Since, The sum of all three angle in a triangle will be 180 degree.
Now, For option A;
The angles are 40° , 50°, 60°.
Sum of angles = 40° + 50° + 60°
= 150°
Hence, These set are not possible.
For option B;
The angles are 50° , 60°, 70°.
Sum of angles = 50° + 60° + 70°
= 180°
Hence, These set are possible.
So, The measure of angles in a triangle are 50°, 60° and 70°.
Option B is true.
Learn more about the triangle visit:
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1 2 3 4 5 6 7 8 9 10 11
1) PEMDAS: 12 * 5 + 6 / 6
12 * 5 = 60
60 + 6 / 6
6 / 6 = 1
60 + 1 = 61
61 is the final answer.
2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2
2 in the final answer.
3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.
-10 is the final answer.
4) 15x + 1 = 26
Subtract 1 from each side.
15x = 25.
25/15 = 1.6...
x = 1.6...
5) 2x -4 + 3x = - 1
2x + 3x = 5x
5x - 4 = -1
Add 4 to each side
5x = 3
3/5 = 0.6
x = 0.6
6) x-2/3 = x+4/5
I don't remember the steps, but the answer is x = 11
7) Finding the relationship between x:4 and 5:20
20/5 = 4
x = 1
The smaller rectangle has a reduction of 5 times.
8) Mean is found by adding all the number, then dividing by the amount added.
18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171
171/8 = 21.375
Mean = 21.375
Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5
Median = 21.5
9) Circumference of a circle = 2(pi)(r)
Circumference = 30πin (thats the pi symbol)
If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.
10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y
5x + 2x = 7x
7x + 7y - 8y^2 - y
-y + 7y = 6y
Answer: -8y^2 + 7x + 6y
❗❗❗❗❗❗❗HELP❗❗❗❗❗❗❗
Select the table of values where the quadratic function changes direction at a different value of x than the others.
Imagine that this is a graph.
A.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
B.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
C.
x -3 -2 -1 0 1 2 3
y 4 3 4 7 12 19 28
D.
x -3 -2 -1 0 1 2 3
y 1 -1 1 7 17 31 49
Answer:
x -3 -2 -1 0 1 2 3
y 28 19 12 7 4 3 4
Step-by-step explanation:
The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).
Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:
x -3 -2 -1 0 1 2 3
y 28 19 12 7 4 3 4
we see that the turning point is at (2, 3) which represents a different x-value.
How many numbers between 650 and 780 leave the remainders 4 and 6 when divided by 7 and 11, respectively?
There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.
For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].
Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]
We need to find the intersection of these two sets of numbers between 650 and 780.
Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:
[tex]\[7k + 4 \geq 650\][/tex]
[tex]\[7k \geq 646\][/tex]
[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]
Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.
So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]
Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:
[tex]\[7k + 4 \leq 780\][/tex]
[tex]\[7k \leq 776\][/tex]
[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]
Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.
So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]
Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:
[tex]\[11m + 6 \geq 650\][/tex]
[tex]\[11m \geq 644\][/tex]
[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.
So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]
Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:
[tex]\[11m + 6 \leq 780\][/tex]
[tex]\[11m \leq 774\][/tex]
[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.
So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]
Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]
This can be done by finding the range of overlap between these two sets.
The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.
So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
1-sin60÷cos60=1-Tan30÷1+Tan30
Step-by-step explanation:
LHS=(1-sin60)/cos60
=(1-√3÷2)/1÷2
=2(1-√3÷2)
=2-√3
RHS=(1-tan30)/(1+tan30)
={1-(1÷√3)}/{1+(1÷√3)}
={(√3-1)/√3}/{(√3+1)/√3}
=(√3-1)/(√3+1)
={(√3-1)(√3-1)}/{(√3+1)(√3-1)}
=(3-√3-√3+1)/(3-1)
=(4-2√3)/2
=2-√3
Therefore LHS=RHS
Point A is located at (-5, 2) and is reflected in the y-axis. What are the coordinates of point A'?
A.(-5, -2)
B.(5, 2)
C.(5, -2)
When a point is reflected across the Y axis, the Y coordinate remains the same and the X coordinate becomes the opposite of the original value.
Points are written as ( X,Y)
The original point is (-5,2)
The opposite x value would be 5 and the Y value stays the same.
The reflected point would be (5,2)
The answer is B.
A.(-5, -2). The reflected point A' after reflecting point A with coordinates (-5, 2) in the y-axis will have coordinates (5, 2).
Explanation:When point A, which is located at (-5, 2), is reflected in the y-axis, you have to switch the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflection across the y-axis means that the point's position will be mirrored over the y-axis, resulting in the same vertical (y) positioning but an opposite horizontal (x) positioning. Therefore, the reflected point A', will be at (5, 2), which corresponds to answer B.
Find the measures of supplementary angles 1 and 2, if: angle on is 40º less than angle 2
Answer:
140°
Step-by-step explanation:
180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)
(8x-11)-(15-x)=1 dont know where to start with it
Answer:
x = 3
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
Answer: x=3
Step-by-step explanation:Step 1: Simplify both sides of the equation.
(8x-11)-(15-x)=1
(8x-11)+-1(15-x)=1 (distribute the negative sign)
8x+-11+-15+x=1
8x+x+(-15+-11)=1 (combine like terms)
9x+-26=1
Step 2: Add 26 to both sides
9x-26+26=1+26
9x=27
Step 3: Divide both sides by 9.
9x/9=27/9
x=3
Mrs. Lyons is playing Jeopardy against Mr.Browen. Mr. Bowen incorrectly answers questions with 40 points five times in a row. What is his score so far?
Answer:
-40 x 5 = -200. his score is -200
]
What is -5 1/4 written as a decimal
Answer:
-5.25
Step-by-step explanation:
1/4 is equal to 0.25
How can u solve for x when there is a y in the like y=4x+8x
Answer:
x = [tex]\frac{1}{12}[/tex] y
Step-by-step explanation:
Given
y = 4x + 8x, that is
y = 12x ( divide both sides by 12 )
[tex]\frac{y}{12}[/tex] = x, or
x = [tex]\frac{1}{12}[/tex] y
What is the solution to 4x−1=7 ? Plot the solution on the number line.
Answer: x is 2
Step-by-step explanation:
Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing
Answer:
x=2
Step-by-step explanation:
is
[tex] \frac{3}{6} [/tex]
a rational number?
Hey!
-----------------------------------------
Answer: Yes 3/6 is rational!
-----------------------------------------
Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.
-----------------------------------------
Hope This Helped! Good Luck!
Explain the difference between a markup and a margin.
Answer:
Step-by-step explanation: mark up would be a fixed percentage, say you mark up your goods 50% your cost is $1 and 50% m-up would mean a selling price of 1.50. given this , your margin is 50cents. but margin may vary, there are indirect costs, example. store a charges, 1% display fee, store b charges 3% display fee. so, in store by your margin decreases. other factor that may affect margin are commission, local taxes, store charges.
Answer:
The answer is
Profit margin is sales minus the cost of goods sold. Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price. Markup is the retail price for a product minus its cost, but the margin percentage is calculated differently.
on edg 2020
Step-by-step explanation: