Harvey earned a simple interest of $660 over 2 years on his $6000 investment.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
Simple interest is calculated using the formula:
I = P r t
Where: I = Interest earned P = Principal amount (amount invested) r = Annual interest rate t = Time period (in years)
Now, In this case,
Harvey invested $6000 for 2 years at an annual interest rate of 5.5%.
So, using the formula:
I = 6000 x 0.055 x 2
I = $660
Therefore, Harvey earned a simple interest of $660 over 2 years on his $6000 investment.
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Which is the image of Triangle ABC for a 180° counterclockwise rotation about P?
Answer:
Triangle GHI is rotating 180° counterclockwise .
Step-by-step explanation:
Given : Triangles.
To find : Which is the image of Triangle ABC for a 180° counterclockwise rotation about P.
Solution : We have triangle ABC .
If we Rotate GHI triangle in counterclockwise 180 degree we get triangle ABC.
We can prove it by rotating triangle ABC in clockwise direction 180° We get triangle GHI.
Therefore, Triangle GHI is rotating 180° counterclockwise .
First find f+g, f-g, f-g and f\g. Then determine the domain for each function f(x)=3×+7,g(×)=×+9 (f+g)(×)=
To find (f+g)(x), add the functions f(x) and g(x), substituting x into both functions and then adding the results together. The result is (f+g)(x) = 4x + 16.
Explanation:To find (f+g)(x), we need to add the two functions f(x) and g(x). f(x) = 3x + 7 and g(x) = x + 9. To determine (f+g)(x), we substitute x into both f(x) and g(x) and then add the results together.
So, (f+g)(x) = f(x) + g(x) = (3x + 7) + (x + 9) = 4x + 16.
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0.05 is 1/10 the value of?
Answer
0.5
Explanation
0.05 is 1/10 the value of?
In other words the question is asking, what must be multiplied by 1/10 to give 0.05.
let that value be X.
1/10 × X = 0.05
X/10 = 0.05
X = 0.05 × 10
= 0.5
The value that must be multiplied by 1/10 which gives 0.05 would be 0.5.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We need to find the value that must be multiplied by 1/10 which gives 0.05.
Let that value be X.
1/10 × X = 0.05
X/10 = 0.05
X = 0.05 × 10
= 0.5
Thus, the value that must be multiplied by 1/10 which gives 0.05 would be 0.5.
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John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class?
A. 72 + 78 + 70 + x ≤ 289 B. 72 + 78 + 70 + x > 289 C. 72 + 78 + 70 + x < 289 D. 72 + 78 + 70 + x ≥ 289
John needs to use the inequality 72 + 78 + 70 + x ≥ 289 to determine the minimum number of additional test points required to pass his math class.
Explanation:The student, John, needs to determine how many more test points he requires to pass his math class. Given his current test scores, the inequality to represent this scenario should account for the minimum points he needs to achieve the threshold.
Therefore, the inequality should include an 'at least' condition, meaning the total points must be greater than or equal to the pass mark of 289. Adding his current scores of 72, 78, and 70 gives a total of 220, so the inequality will include an unknown variable, x, which represents the additional points needed. The correct inequality is D. 72 + 78 + 70 + x ≥ 289.
Final answer:
John needs to use the inequality 72 + 78 + 70 + x ≥ 289, which simplifies to x ≥ 69, to determine he requires at least 69 more points to pass. Option D
Explanation:
John needs to determine how many more points he requires to pass his math class, with a target score of at least 289 points. He already has test scores of 72, 78, and 70. To find out the least number of additional points he needs, he should use an inequality that allows for the sum of his scores and an unknown quantity x (representing the points he needs) to be at least as great as 289. This is represented by the inequality 72 + 78 + 70 + x ≥ 289. This can be simplified to x ≥ 69, which means John needs at least 69 more points to pass the class.
Ron sees 3 dogs at the park. Hal sees twice as many dogs as Ron. How many dogs do they see in all?
Make a table of ordered pairs for the equation.
y=−1/3x+1
Answer:
The answer is the next table:
x y
0 1
3 0
6 -1
9 -2
Step-by-step explanation:
In order to determine the table with ordered pairs, we have to know about replacing values.
In a linear function, there are two variables, the dependent variable (y) and the independent variable (x). If we replace any value in the "x" variable, we get the "y" value. The process is called "replacing value".
To get the table, we choose some value to replace in the "x" variable:
[tex]x=0\\y=-\frac{1}{3}(0)+1=1\\[/tex]
[tex]x=3\\y=-\frac{1}{3}(3)+1=-1+1=0[/tex]
[tex]x=6\\y=-\frac{1}{3}(6)+1=-2+1=-1[/tex]
[tex]x=9\\y=-\frac{1}{3}(9)+1=-3+1=-2[/tex]
The table with some ordered pairs is:
x y
0 1
3 0
6 -1
9 -2
I have attached an image that shows a graph with the ordered pairs.
Central City High School's robotics team is at a competition. In the last round, the team earned 80 points for their robot climbing over an obstacle and an additional 12 points for each ball the robot shot through a hoop. They won the round with 344 total points. Write an equation in the form a = bx + c that can be used to find the number of balls, x, their robot shot through the hoop. Fill in a, b, and c to complete the equation for this situation. Big fraction Parentheses Vertical bars Square root Root Superscript (Ctrl+Up) Subscript (Ctrl+Down) Plus sign Minus sign Middle dot Multiplication sign Equals sign Less-than sign Greater-than sign Less-than or equal to Greater-than or equal to Pi Alpha Beta Epsilon Theta Lambda Mu Rho Phi Sine Cosine Tangent Arcsine Arccosine Arctangent Cosecant Secant Cotangent Logarithm Logarithm to base n Natural logarithm Bar accent Right left arrow with under script Right arrow with under script Angle Triangle Parallel to Perpendicular Approximately equal to Tilde operator Degree sign Intersection Union Summation with under and over scripts Matrix with square brackets
Answer:
[tex]344=12x+80[/tex]
[tex]a=344[/tex]
[tex]b=12[/tex]
[tex]c=80[/tex]
Step-by-step explanation:
Let x be number of balls shot through the hoop by Central City High School's robot.
We have been given an equation [tex]a=bx+c[/tex] and we are asked to find the values of a, b and c.
We are told that Central City High School's team earned an additional 12 points for each ball the robot shot through a hoop. So the points earned by shooting x balls through the hoop will be 12x.
The team also earned 80 points for their robot climbing over an obstacle. So total number of points earned by team will be equal to [tex]12x+80[/tex].
We are also told that the team won the round with 344 total points. We can represent this information in an equation as: [tex]344=12x+80[/tex]
Upon comparing this equation with our given equation we will get,
[tex]a=344[/tex]
[tex]b=12[/tex]
[tex]c=80[/tex]
Therefore, the equation [tex]344=12x+80[/tex] can be used to find the number of balls, x, team's robot shot through the hoop.
If the ratio of areas of two similar polygons is 25:49, what is the ratio of the corresponding side lengths
Answer: 5:7
Step-by-step explanation:
The person above is right
I just did the test
A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $21 per hour spent fixing the drain. The total cost, c (in dollars), for fixing a drain that takes, h hours is given by the following function.
C(h)=79+21h
(a) What is the total cost for fixing a drain that takes 7 hours?
(b) If the plumber charges a total of $310, how many hours did he spend fixing the drain?
Final answer:
The total cost for fixing a drain that takes 7 hours is $226. If the plumber charges a total of $310, he spent 11 hours fixing the drain.
Explanation:
The cost function given by the plumber is C(h) = 79 + 21h, where C represents the total cost and h represents the number of hours spent fixing the drain.
To find the total cost of fixing a drain that takes 7 hours, we substitute h with 7 in the given equation: C(7) = 79 + 21(7). Calculating this, we get C(7) = 79 + 147, which equals $226. Therefore, the total cost for fixing a drain that takes 7 hours is $226.To find out how many hours the plumber spent fixing the drain when the total charge is $310, we set C(h) equal to 310 and solve for h: 310 = 79 + 21h. Subtracting 79 from both sides gives us 231 = 21h. Dividing both sides by 21 yields h = 11 hours. Thus, the plumber spent 11 hours fixing the drain.Write a real-life situation that can be modeled by the expression .
5 x 3/4
Answer:
On Zira's birthday Lizzy, Amy Wilson Amara, and Ria want only 3/4 inches of the cake how much cake do you need for all of them?
Solutions 5 x3/4 = 3.75 inches of cake
Step-by-step explanation:
seven less than the product of 3 and a number is -16
Mel Company has a net income, before taxes, of $95,000. The treasurer of the company estimates 45% of net income will have to be paid for federal and state taxes. The tax for both federal and state is:
Answer:
The tax will be $42,750.
Step-by-step explanation:
Mel Company has a net income, before taxes, of $95,000.
The treasurer of the company estimates 45% of net income will have to be paid for federal and state taxes.
So, the tax for both federal and state is:
[tex]0.45\times95000=42750[/tex] dollars
Therefore, the tax will be $42,750.
A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are given in the table below.
CANDIDATE X Y Z
NUMBER OF SUPPORTERS 63 17 20
If 5000 people vote in the actual election, which is the best prediction for the number of votes for candidate X, based on the results of this poll?
630
850
1000
3150
Dilate using a scale factor of 2
(2,3) (5,2) (3,-2)
Evaluate 3f(2) = .
what does this equal
Answer:
The answer is 12
Step-by-step explanation:
you roll a number cube twice. what is the probability of rolling a 2 first and then rolling an odd number
The probability of rolling a 2 on a die and then rolling an odd number on a second roll is 1/12.
The probability of rolling a 2 on a die is 1/6 because there are six sides on a die, each with an equal chance of landing face up. When rolling the dice a second time, there are three odd numbers (1, 3, and 5), so the probability of rolling an odd number is 3/6, or 1/2. To find the combined probability of both events occurring in sequence (rolling a 2 first and then an odd number), we multiply the individual probabilities: (1/6) × (1/2) = 1/12.
Find the probability that the sample mean deviates from the population mean μ = 108 by no more than 2.
Olivia started her banking account with $100 and is increasing the account $20 per month. The independent variable
Answer:
Wee is the independent variable, and deposit is the dependent variable
Step-by-step explanation:
Given that Olivia started her banking account with $100 and is increasing the account $20 per month.
Here the variable which changes independently is the independent variable
Hence no of weeks elapsed would be the independent variable
The dependent variable would be the variable which changes whenever number of weeks changes.
Here dependent variable is the total balance in the account in a particular week
D=100+20n wbere n= no of weeks that eapsed
and D= depositisin in the bank
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
At 4:00 PM, the distance between the ships is changing at a rate of 6160 km/h.
Explanation:To find the rate at which the distance between the ships is changing, we can use the concept of relative velocity. At 4:00 PM, ship A has been sailing east for 4 hours, covering a distance of 40 km/h * 4 h = 160 km. Ship B has been sailing north for 4 hours, covering a distance of 20 km/h * 4 h = 80 km.
To find the distance between the ships at 4:00 PM, we can use the Pythagorean theorem. The distance between the ships is the hypotenuse of a right triangle with legs of 170 km and 80 km. Using the theorem, we find that the distance between the ships is √(170^2 + 80^2) ≈ 186.45 km.
To find the rate at which the distance is changing, we can use the derivative of the distance formula. Let D be the distance between the ships. Then, D^2 = (170 + 40t)^2 + (80 + 20t)^2, where t is the time in hours. Taking the derivative of D^2 with respect to t and solving for dD/dt, we get: dD/dt = (170 + 40t)(40) + (80 + 20t)(20).
Substituting t = 4 into the expression, we find that dD/dt = (170 + 40(4))(40) + (80 + 20(4))(20) = 6160 km/h. Therefore, the distance between the ships is changing at a rate of 6160 km/h at 4:00 PM.
Suppose a florist is creating a bouquet with 3 different types of flowers and 3 different types of greenery. If there are 7 types of flowers in the shop and 6 types of greenery to choose from, how many ways can the florist design the bouquet?
The florist can design the bouquet in 700 unique ways, using 3 different types of flowers and 3 different types of greenery chosen from 7 types of flowers and 6 types of greenery respectively.
Explanation:The subject of this question is within the realm of Mathematics, specifically combinatorics, which studies the various ways in which objects can be selected, arranged, and combined. To find the total number of ways the florist can design the bouquet given 7 types of flowers and 6 types of greenery, we can employ the combination (or 'choose') formula given by n choose r, where n is the total number of objects and r is the number of objects selected. Hence, the number of ways to choose 3 flowers out of 7 is '7 choose 3', and similarly for the greenery we have '6 choose 3'.
Using the formula for combinations, we have:
Combinations of flowers = 7 choose 3 = 7! / (3!(7-3)!) = 35
Combinations of greenery = 6 choose 3 = 6! / (3!(6-3)!) = 20
Since the flowers and the greenery are selected independently of each other, we multiply the two results to get the total number of combinations. Therefore, the number of unique ways in which the florist can design the bouquet is 35 * 20 = 700.
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Kyle saves 8% of his income for a new car this year his salary was $2000 less than in the previous year and he saved $3000 what was his salary in the previous year
First let us calculate for his salary this year. We know that 3000 is only 8% of his salary, hence:
0.08 * salary = 3000
salary = 3000 / 0.08
salary = 37,500
Therefore his previous salary is:
previous salary = 37,500 + 2,000
previous salary = $39,500
Answer:
First let us calculate for his salary this year. We know that 3000 is only 8% of his salary, hence:
0.08 * salary = 3000
salary = 3000 / 0.08
salary = 37,500
Therefore his previous salary is:
previous salary = 37,500 + 2,000
previous salary = $39,500
Step-by-step explanation:
Carol, Ann, and Liz each bought a toy fish. Carol’s fish is 9 inches longer than Ann’s fish. Liz’a fish is 9 inches longer than twice the length of Ann’s fish. Ann’s fish is 17 inches long. Find the length of each toy fish.
How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)
Calculate the perimetet of the quadrilateral
Part b what is the value of the smallest bond angle in xef4?
Answer:
90 degrees
Step-by-step explanation:
WILL GIVE BRAINEST
Leo had $91, which is 7 times as much......
a receipe calls for 3 1/3 cup of heavy cream, If i double the receipe and want to make 2 1/2 times the amount how much heavy cream do I have to use?
For 2 1/2 times the doubled recipe, starting with an initial amount of 3 1/3 cups of heavy cream, the total amount needed would be 16 2/3 cups of heavy cream.
To calculate how much heavy cream is needed, we must first understand the initial amount required and then apply the necessary adjustments to upscale the recipe.
If the original recipe calls for 3 1/3 cups of heavy cream and we want to double the recipe, we would need 2 x 3 1/3 cups which is 2 x (10/3) cups = 20/3 cups or 6 2/3 cups.
Now, if we want to make 2 1/2 times the amount of the doubled recipe, we multiply 6 2/3 cups by 2 1/2 (5/2), resulting in (20/3) x (5/2) cups. Simplifying this, we get:
(20/3) x (5/2) = (100/6) cups = 16 2/3 cups.
Therefore, for 2 1/2 times the doubled recipe, you would need 16 2/3 cups of heavy cream.
Can u simplify and convert these please and thank you
1/13 = 0.0769 = 7.7%
9/26 = 0.346 = 34.6%
5/26 = 0.192 = 19.2%
Which of the following is a like radical to 3x sqrt 5?
X(3sqrt 5)
Sqrt 5y
3(3sqrt 5x)
Y sqrt 5
The like radicals to 3x√5 from the given options is: D. y√5.
What are Like Radicals?Like radicals can be defined as radicals having the same root number (i.e. square) and also have the same radicand.
Given, 3x√5, the root here is a square, while the radicand is 5. Thus, like radicals to 3x√5 will have same root and radicand.
Therefore, the like radicals to 3x√5 from the given options is: D. y√5.
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The like radical to 3x sqrt 5 is y sqrt 5.
Explanation:Given the expression 3x sqrt 5, we can see that the square root is applied only to 5 and not to 3x. To find a like radical, we need to find an expression in which the square root is also applied only to the same number.
Looking at the options, the only expression that matches this criterion is y sqrt 5. The square root is applied only to 5, just like in the original expression. Therefore, y sqrt 5 is the like radical to 3x sqrt 5.
what is the estimate of 8.354