Answer: 1,000
First, you have to find how much 7.5% is coming out of 10,000. So in this case it's 750. Multiply 750 by 12 years. Thats 9000, you then subtract 9000 and 10,000 to get 1,000.
The future value of a $10,000 investment at a 7.5% annual interest rate compounded daily after 12 years is $22,589.67.
Explanation:To calculate the future value of an investment that is compounded daily, we use the formula: FV = P ((1 + (r/n))^{nt}, where:
P is the principal amount (the initial amount of money)r is the annual interest rate (in decimal form)n is the number of times the interest is compounded per yeart is the time the money is invested for in yearsGiven that the principal amount P is $10,000, the annual interest rate r is 7.5% (or 0.075 in decimal form), the number of times the interest is compounded per year n is 365, and the time t is 12 years, we plug these values into the formula:
FV = $10,000 ((1 + (0.075/365))^{365 * 12}
By calculating this amount, we find that the future value of the investment, to the nearest cent, would be $22,589.67.
Translate the phrase into an algebraic expression. The sum of 17 and twice a number
Let's make "x" the number.
So the sum of 17 and twice a number:
17 + 2 * a number
17 + 2 * x
17 + 2x
The value of algebraic expression is,
⇒ 2x + 17
Where, x is a number.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The phrase is,
'' The sum of 17 and twice a number.''
Now, Let a number = x
So, We can formulate;
The algebraic expression is,
⇒ 17 + 2 × x
⇒ 17 + 2x
⇒ 2x + 17
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The line 2y - x + 5 = 0 and the curve (10 – x)^2+ (y – 5)^ 2= 10 intersect at points A and B.
Find the coordinates of A and of B.
Answer:
A(9, 2 ), B(13, 4 )
Step-by-step explanation:
Given the 2 equations
2y - x + 5 = 0 → (1)
(10 - x)² + (y - 5)² = 10 → (2)
Rearrange (1) expressing x in terms of y by adding x to both sides
x = 2y + 5 → (3)
Substitute x = 2y + 5 into (2)
(10 - (2y + 5))² + (y - 5)² = 10, that is
(10 - 2y - 5)² + (y - 5)² = 10
(5 - 2y)² + (y - 5)² = 10 ← expand the factors using FOIL
25 - 20y + 4y² + y² - 10y + 25 = 10
5y² - 30y + 50 = 10 ( subtract 10 from both sides )
5y² - 30y + 40 = 0 ( divide through by 5 )
y² - 6y + 8 = 0 ← in standard form
(y - 2)(y - 4) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 2 : x = 2(2) + 5 = 4 + 5 = 9 ⇒ (9, 2 )
y = 4 : x = 2(4) + 5 = 8 + 5 = 13 ⇒ (13, 4 )
Since we are not given the position of A or B in relation to each other then either of the points can represent A or B, that is
A(9, 2), B(13, 4)
OR
A(13, 4), B(9, 2)
Solve for n.
4 x n= 21.6
Answer:
n = 5.4
Step-by-step explanation:
Equation: 4n = 21.6
To solve this equation for n, divide both sides by 4 to get n by itself.
Step 1: Divide both sides by 4
4 * n / 4 = 21.6 / 4
n = 5.4
Answer: n = 5.4
[tex]\large\text{Hey there!}[/tex]
[tex]\mathsf{4n=21.6}\\\mathsf{\bf{DIVIDE}}\mathsf{\ both\ sides\ by\ 4}\\\mathsf{\dfrac{4n}{4}=\dfrac{21.6}{4}}\\\mathsf{Cancel\ out: \dfrac{4n}{4}\ because\ it\ equals\ to\ 1}\\\mathsf{Keep: \dfrac{21.6}{6}\ because\ it\ gives\ you\ the\ value\ of\ your\ n}\\\mathsf{\dfrac{21.6}{4}=21.6\div4\rightarrow5.4}\\\\\\\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\underline{\underline{n =5.4}}}}}}}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t
models the lizard's height in feet above the water t seconds after he jumps. How long
after Jumping is he back on the water?
To find the time when the lizard is back on the water, set the height equation equal to zero and solve for t. The lizard is back on the water 1/2 second after jumping.
Explanation:To find the time when the lizard is back on the water, we need to set the height, h, equal to zero, and solve for t in the given equation, h = -12t^2 + 6t.
Substitute 0 for h:
0 = -12t^2 + 6t
Now we can solve for t. Rearrange the equation to quadratic form:
12t^2 - 6t = 0
Factor out a common factor of 6t:
6t(2t - 1) = 0
Set each factor equal to zero:
t = 0 or 2t - 1 = 0
If t = 0, it means the lizard is on the water at the time it jumps. Therefore, t = 0 is not the solution we're looking for. If 2t - 1 = 0, solving for t:
2t = 1
t = 1/2
Therefore, the lizard is back on the water 1/2 second after jumping.
John is saving $6 a week. He has already saved $28. How many weeks will it take John to reach his goal of $100?
Answer:
12 weeks
Step-by-step explanation:
If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72
In one week → $6
2 weeks → $12
3 weeks → $18
and so on..
[tex]\frac{72}{6} = 12[/tex]
John will need 12 more weeks to save a total of $100.
please help as soon as possible
Answer:
B
Step-by-step explanation:
15 more than A
A is the original answer so it should be the first digit.
The question asks "15 more" so it should be after the A
A+15
15(x-3) over 5 = 3(2x-3)
What is X?
Answer:
x=0
Step-by-step explanation:
Answer: x= infinite solutions
there are infinite solutions and when graphing it shows you that they are together they are infinte solutions
Step-by-step explanation:
15(x-3)/5=3(2x-3)
15(x-3)/5=6x-9
*5 *5
15(x-3)=30x-45
15x-45=30x-45
-15x -15x
-45=15x-45+45
+45
0=15x
0/15=x
0=x
What is the perimeter of triangle ABC?
Answer: 24 units.
Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.
Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.
To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.
Add all the lengths. 6+8+10=24.
Out of the 1236 employees who work for a particular company, 748 of them work in an office. One employee is selected every month to receive a free
lunch. The probability that the selected employee does not work in an office is
Answer:
458
Step-by-step explanation:
Final answer:
The probability that the selected employee does not work in an office is calculated by dividing the number of employees not working in an office (488) by the total number of employees (1236), resulting in a probability of approximately 0.395.
Explanation:
The question asks for the probability that the selected employee does not work in an office from a total of 1236 employees, where 748 work in an office. To find this, we first need to determine the number of employees who do not work in an office.
Employees not working in an office = Total employees - Employees working in an office
= 1236 - 748 = 488
Now, the probability of selecting an employee who does not work in an office is calculated by dividing the number of employees not working in an office by the total number of employees:
Probability = Number of employees not working in an office / Total number of employees
Probability = 488 / 1236
Therefore, the probability that the selected employee does not work in an office is approximately 0.395.
0.125 to the nearest thousandth
Answer:
5 SHOULD BE THE ANSWER SORRY FOR ALL CAPS
Answer:
5
Step-by-step explanation:
0 is lower than 5 so your number would stay the same
What is the velocity of a wave with a frequency of 4.0 Hz and a wavelength of 0.50 m/wave?
Answer:
v=fa
Step-by-step explanation:
(4)(.5)=2
v=2
. A square window has a perimeter of 60 inches.
What is the area of the window?
Answer:
225 in squared
Step-by-step explanation:
since a square has 4 equal sides you do 60/4 which is 15
then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225
Answer:
225 sq . inch
Step-by-step explanation:
Identify the Domain and Range of the graph below:
PLEASE HELP I WILL GIVE BRAINLIST!
Answer:
-2.5<x<2.5
Step-by-step explanation:
What is the measure of arc HI?
Answer:
D. 62˚
Step-by-step explanation:
Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)
Answer:
x^4-11x^2+28
Step-by-step explanation:
Set it upx^2(x^2-4) -7(x^2-4)
2. Multiply
x^4-4x^2-7x^2+28
3. Simplify
x^4-11x^2+28
Which is a unit of length in the metric system?
inches
feet
meters
yards
Answer: meters
Step-by-step explanation:
In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.
I hope this helps
Answer: METERS AKA C
Step-by-step explanation:
Scientists put marks on 30 mooses as part of an effort to estimate the local most population greater the scientist Flew Over the area and counted a total of 210 most of which 10 remark to the nearest whole number what is the best estimate for the moose population.
A. 70
B. 630
C. 159
D. 357
Answer: It is D.
Step-by-step explanation: I have taken this quiz before!
Please give me brianliest
Answer:
Step-by-step explanation:
720
Mary mixes white paint and blue paint in the ratio 2:3
She makes a total of 20 litres of paint.
How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?
Given:
Ratio of white and blue paint is 2:3
Total quantity of paint is 20 litres
To find:
Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7
Solution:
The ratio 2:3 totals 20 that is [tex]2x+3x=20\rightarrow5x=20\rightarrow x=4[/tex]
So, the quantity of white paint in the mixture is [tex]2\times4=8[/tex] and the quantity of blue paint in the mixture is [tex]3\times4=12[/tex]
Now, to get the final ratio as 1:7, Mary should have [tex]7\times8=56 \text{ litres }[/tex] of blue paint. So, she need to add [tex]56-12=44 \text{ litres}[/tex].
Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.
Braden's Sports sells golf tees in packs of 2. Meanwhile, Wayne's Gear sells them in packs of
6. If both shops sold the same number of golf tees this week, what is the smallest number of
tees each could have sold?
Answer:
6
Step-by-step explanation:
The LCM of 2 and 6 is 6. I hope this helps
You move down 3 units and right 6 units. You end at (4, -5). Where did you start?
(-2, -2)
Step-by-step explanation:
In this problem, you only know the coordinates of the final point and the distance moved in order to get there (which was moving 3 units down and 6 units to the right). If you want to find the starting point, you simply have to go backwards by subtracting 3 from -5 because the y coordinates move upwards/downwards, and then subtracting 6 from 4 because the x coordinates go left/right in order to get your final answer, (-2, -2).
The sequence of movements can be reversed to find the initial position, which is (-2, -2).
To determine the starting point, we can reverse the given movements: moving down 3 units and right 6 units from the final position (4, -5). If we move 3 units up from the final y-coordinate (-5), we get -5 + 3 = -2.
Similarly, if we move 6 units left from the final x-coordinate (4), we get 4 - 6 = -2. Therefore, the starting point is (-2, -2).
To visualize this, imagine a coordinate plane where moving down represents decreasing the y-coordinate and moving right represents increasing the x-coordinate.
Starting at (-2, -2), moving down 3 units brings us to (-2, -5), and then moving right 6 units from there leads us to the final position (4, -5).
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Simplify the expression.
7(6x – 4) + 1
1. Distribute the 7 through the parentheses.
2. Combine like terms.
What is the expression in its simplest form?
42x – 28 + 7
42x – 3
42x – 28 + 1
42x – 27
Answer:
42x-27
Step-by-step explanation:
7(6x-4)+1 is your original expression. Distribute to get 42x - 28 + 1. Combine like terms and add 1 to -28, which is -27. So, 42x-27 is your answer.
The value of the expression is 9/16 and the expression in its simplest form is 42x-27
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 7(6x – 4) + 1
We need to simplify it.
In the given expression x is the variable
Plus and minus are operators of addition and subtraction.
7(6x – 4) + 1
Distribute the 7 through the parentheses.
42x-28+1
Add the like terms
42x-27
The expression in its simplest form is 42x-27
42x=27
Divide both sides by 42
x=27/42=9/16
Hence, the value of the expression is 9/16 and the expression in its simplest form is 42x-27
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Eric needs to order programs for the next school football game. Only 1 out of 2 people will buy a program for the game. If there will be 900 people at the game and programs come in boxes of 50, how many boxes of programs should Eric order?
Answer:
Eric should order 9 boxes of programs.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of buying a program for the game = 1/2
Number of people at the game = 900
Number of programs per box = 50
2. How many boxes of programs should Eric order?
Let's calculate the answer this way:
Number of programs required for the next football game = Probability of buying a program for the game * Number of people at the game
Replacing with the values given, we have:
Number of programs required for the next football game = 1/2 * 900
Number of programs required for the next football game = 450
Now, we can calculate he number of boxes, this way:
Number of boxes of programs Eric should order = Number of programs required for the next football game /Number of programs per box
Replacing with the values given, we have:
Number of boxes of programs Eric should order = 450/50
Number of boxes of programs Eric should order = 9
A wooden bean 6 meters long leans against a wall and makes an angle 71 degrees with the ground. How high up the wall, to the nearest meter, does the beam reach?
Trigonometry
Answer:
The far of reaching the wall
24 71
=69.70106106ft
Step-by-step explanation:
The wooden beam reaches a height of 6 meters on the wall.
Explanation:To find the height of the beam on the wall, we can use trigonometry.
The given angle is 71 degrees and the length of the beam is 6 meters.
We can use the sine function to find the height. The formula is: height = length * sin(angle).
height = 6 * sin(71)
Using a calculator, we find that the height is approximately 5.753 meters.
Rounding to the nearest meter, the beam reaches a height of 6 meters on the wall.
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How do you find an outlier mathematically?
You use these formulas:
Q1 - 1.5(IQR)
Q3 + 1.5(IQR)
If any numbers fall outside the range of the solutions to the above equations, then they're an outlier.
what would the slope of y= -2/5x + 4 be and how can it be broken down for me to understand?
Answer:
So, the slope is the number attached to the x.
In this case the slope is -2/5.
Example: y = 5x + 3
In this case, the slope is 5 because it is the number attached to the x.
HOPE THIS HELPS :)
Which fraction is equivalent to
6
8
?
Answer:
3/4
Step-by-step explanation:
Step 1: Simplify
6/8 is same as (6/2) / (8/2)
3 / 4
Answer: 3/4
Answer:
12/16, 18/24 24/32 etc.
Step-by-step explanation:
6×2/8×2=12/16, 6×3/8×3=18/24, 6×4/8×4=24/32 and so on. If you keep multiplying the numerator and denominator of the original fractions by natural numbers, the results are equivalent fractions.
Missing fraction
blank + 1/16 = 3/2
Final answer:
To solve for the missing fraction in the equation blank + 1/16 = 3/2, convert 3/2 to a fraction with a denominator of 16 to give 24/16. Then, subtract 1/16 from 24/16 to get the missing fraction, which is 23/16.
Explanation:
To find the missing fraction in the equation blank + 1/16 = 3/2, we first need to express 3/2 with the same denominator as 1/16 to facilitate addition. The common denominator for 16 and 2 is 16, so we can rewrite 3/2 as 24/16 (since 3 × 8 = 24 and 2 × 8 = 16). Our equation now is blank + 1/16 = 24/16. To solve for the missing fraction (blank), we subtract 1/16 from 24/16, which gives us 23/16.
Example:
Rewrite 3/2 as 24/16
Subtract 1/16 from 24/16 to find the missing number
The missing fraction is 23/16
This method demonstrates how to find a missing fraction by creating a common denominator and then subtracting to isolate the missing number.
Can you help me please?
jamie’s mother is making a quilt. the block shown below is made from a series of similar triangles
Answer:
but what is the actual answer?
Step-by-step explanation:
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies?
Answer:
1. 10 singles. 2. One package of 6 and 4 singles. 3. One package of 6 and one package of 4. 4. Two packages of 4 and 2 singles 5. One package of 4 and 6 singles.
Step-by-step explanation:
There are 5 ways in which 10 cookies can be sold in singly or in packages of 4 or 6.
Given that,
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Ways in which exactly 10 cookies can be sold,
= {10 cookies singly, pack of 4 cookies and 6 cookies singly, pack of 4 and pack of 6, 4 cookies singly and a pack of 6 and 2 pack of 4 and two cookies singly,}
= 5 ways
Thus, there are 5 ways in which 10 cookies can be sold in single or in packages of 4 or 6.
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