Answer:
Greg pays more interest than Linda
He pays $17.45 more
Step-by-step explanation:
Greg
P=$1975
R=5%=0.05
T=3 years
Simple interest=P×R×T
=$1975×0.05×3
=$296.25
Linda
P=$1975
r=4.5%=0.045
n=1
t=3
Linda's Interest is compounded once per period, so we this formula
Compound Interest =P(1+r)^t
=$1975(1+0.045)^3
=$1975(1.045)^3
=$1975(1.141166125)
=$2,253.80
Interest paid=$2,253.80-$1975
=$278.8
Julio says, "If you subtract 19 from my number and multiply the difference by -6, the result is -30." What is Julio's number?
NEED TO KNOW NOW!!!
inequality graph
Answer:
Graph of an inequality definition
Step-by-step explanation:
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
Does anyone know this ??
Answer:
t = (log20)÷(0.3)
Step-by-step explanation:
Write an equivalent expression using the distributive property and combining like terms.
5(3x – 2) + x =
Please I need it please me
Mr. Parsons wants to build a new banister for the stair case shown. If the
rise of the stairs of a building is 5 ft and the run is 12 ft. What will be the
length of the new banister? *
Answer:
I think the answer is 13 feet.
8. Kane has 4 pieces of wood available to build a triangle-shaped garden.
Which pieces of wood can he use? Select all that apply*
2ft, 3ft, 4ft
2ft, 3ft, 5ft
2ft, 4ft, 5ft
3ft, 4ft, 5ft
Using the Triangle Inequality Theorem, we can conclude that the pieces of wood measuring 2ft, 3ft, 4ft, and 3ft, 4ft, 5ft can be used to build a triangle-shaped garden.
To determine which pieces of wood can be used to build a triangle-shaped garden, we need to apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check each set of wood pieces to see if they fit this criterion.
2ft, 3ft, 4ft: Do these lengths satisfy the Triangle Inequality Theorem? Yes, because 2 + 3 > 4, 2 + 4 > 3, and 3 + 4 > 2.2ft, 3ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 3 is not greater than 5. Therefore, these cannot form a triangle.2ft, 4ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 4 is not greater than 5. Therefore, these cannot form a triangle.3ft, 4ft, 5ft: Do these lengths satisfy the theorem? Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.Therefore, the pieces of wood that can be used to build a triangle-shaped garden are the ones measuring 2ft, 3ft, 4ft and 3ft, 4ft, 5ft.
A school district is conducting a survey regarding the effectiveness of its teachers. A random sample of 100 students from the district
are chosen to complete the survey.
Identify the population
A. The population is all teachers employed by the school district.
B. The population is all students enrolled in the school district.
C. The population is the administration
D. The population is all teachers employed by the school district and all students enrolled in the district.
E. The population is the 100 randomly selected students.
Answer:
Step-by-step explanation:
the population is all students enrolled in the school district
Answer:
the population is all students enrolled in the school district
Step-by-step explanation:
You roll a six-sided die twice. What is the probability of rolling a number divisible by 2 and then a number divisible by 3?
If I am rolling a single dice what is the probability of rolling a number that is divisible by 2 and 3? The only number divisible by 2 and 3 is 6. So, would the answer be 1 out 6 or 1/6
Answer:
1/6
Step-by-step explanation:
HELP IMMEDIATELY
Simplify. Express the answers using positive exponents
1) -2a²b⁴÷4ab⁻⁸, a≠0, b≠0
A) -1/2ab¹²
B) -1/2ab⁻¹²
C) -a/2b⁴
D) -a/2b⁻⁴
2) -5w⁴y⁻²÷-15w⁻⁶y², w≠0, y≠0
A) 1/3w⁻²
B) 1/3y⁴w²
C) w¹⁰/3y⁴
D) w²/3y⁴
Answer:
A and C
Step-by-step explanation:
The expression -2a²b⁴÷4ab⁻⁸ is -1/2ab¹² and expression 5w⁴y⁻²÷-15w⁻⁶y² is w¹⁰/3y⁴
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -2a²b⁴÷4ab⁻⁸, a≠0, b≠0
We have from properties of exponents that the denominator is multiplied with numerator by changing the sign.
1/aⁿ=a⁻ⁿ
-2a²b⁴/4ab⁻⁸
-1/2a²⁻¹b⁴⁺⁸
-1/2ab¹²
Now the expression is -5w⁴y⁻²÷-15w⁻⁶y²
-5w⁴y⁻²/-15w⁻⁶y²
5w⁴y⁻²/15w⁻⁶y²
1/3w⁴⁺⁶y⁻²⁻²
1/3w¹⁰y⁻⁴
w¹⁰/3y⁴
Hence, the expression -2a²b⁴÷4ab⁻⁸ is -1/2ab¹² and expression 5w⁴y⁻²÷-15w⁻⁶y² is w¹⁰/3y⁴
To learn more on Expressions click:
https://brainly.com/question/14083225
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Connor randomly chooses a card from a deck of numbered cards. the cards are numbered 1 through 10, and each number appears only one time. What is the probability that the card Connor chooses has a number on it that is even or divisible by 5?
1) 7/10
2) 3/5
3) 1/2
4) 4/5
Answer:
i belive its 1/2
Step-by-step explanation:
At the movie theater, tickets for children cost blank each and adult tickets cost $8.75 each. If ticket sales for a group of 35 people totaled $259, how many children were in this group?
11 children approx.
Let's denote the number of children's tickets as x and the number of adult tickets as y
Since each child ticket costs $4.50 and
each adult ticket costs $8.75,
we can set up the following equations based on the given information:
The total number of people= 35:
x + y= 35
The total revenue from ticket sales= $259:
4.50x + 8.75y = 259
Now we can solve this system of equations to find the values of x and y:
We can start by solving equation 1 for y :
y= 35 - x
Then substitute this expression for y into equation 2:
4.50x + 8.75(35 - x) = 259
Now, solve for x:
4.50x + 306.25 - 8.75x = 259
4.50x - 8.75x = 259 - 306.25
-4.25x = -47.25
Divide both sides by -4.25:
x = (-47.25) / (-4.25)
x = 11.12 approx.
Since the number of children must be a whole number, we can round to the nearest whole number.
So, approximately 11 children were in this group.
FIRST CORRECT ANSWER GETS BRAINLIEST, THANKS, AND FIVE STAR.
CDs R Us sells books on tape and on CD. Tapes sell for $10 and CDs sell for $15.Shayna purchased 16 items and spent a total of $220. What did Shayna purchase?
Answer:
22 tapes
Step-by-step explanation:
that answer could be wrong however, it wasn't specified if he bought a mixture of both items or just one .
also if you had the answer choices that could help a little
You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. About how many years will it take for this to happen?
A) 10
B) 12.5
C) 15
D) 17.5
Answer: b
Step-by-step explanation: 12.5
A total of 330 tickets were sold for the school play. They were adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answer:
there were 110 adult tickets sold and 220 students tickets sold
Step-by-step explanation:
a+s=330
2a=s
a+2a=330
3a=330
330/3=a
110=a
330-110=s
s=220
Which of the following is the graph of f(x)=cos(x-pi/4)?
Answer:
Step-by-step explanation:
vutdktsjtrsdkuygliydkyrsjyrsyik
What is 3,828 estimated?
nearest tenth : 3,830
nearest hundredth: 3,800
nearest thousandth: 4,000
HELP ASAP!!!!
What is the axis of symmetry for f(x) = 2x2 − 8x + 8?
x = −2
x = −3
x = 3
x = 2
Which side lengths form a right triangle?
Choose all answers that apply:
A 2,15, 17
B 1,8, √65
C 2,√80 , 9
Answer:
B. 1,8, root65
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]1^{2}[/tex] = 1
[tex]8^2[/tex] = 64
[tex](\sqrt{65})^{2}[/tex] = 65
1 + 64 = 65
Final answer:
Only the set of side lengths B (1, 8, √65) forms a right triangle, according to the Pythagorean theorem, as 1^2 + 8^2 equals (√65)^2.
Explanation:
The question asks which set of side lengths form a right triangle. According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides (legs) equals the square of the longest side (hypotenuse), which can be expressed as a^2 + b^2 = c^2.
To determine if each set of side lengths forms a right triangle, we can check each option using the Pythagorean theorem:
A: 2, 15, 17 - Check if 22 + 152 = 172.
B: 1, 8,
√65 - Check if 12 + 82 = (
√65)2.
C: 2,
√80, 9 - Check if 22 + (
√80)2 = 92.
After the calculations, we find that:
4 + 225 = 229, which is not equal to 289 (172).
1 + 64 = 65, which is equal to 65 ((
√65)2).
4 + 80 = 84, which is not equal to 81 (92).
Thus, only option B (1, 8,
√65) forms a right triangle.
A boat leaves the dock and travels 5 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
5 mi
Boat
12 mi
Answer:
Step-by-step explanation: 13 miles from doc
Answer:
13 miles
Step-by-step explanation:
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
13 = x
Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planting. Yasmine said she had planted more than 2 1/2 of the original 4 containers. Use what you know about fractions to determine the total amount of containers of flowers she planted.
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
Given the information
4 containers of 4 different colors1/3 of each color left overShe had planted more than 2 1/2 of the original 4 containers=> Total color were left = 1/3 x 4 = 4/3 of the original containers
=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers
However, 8/3 = [tex]2\frac{2}{3}[/tex] > 2[tex]\frac{1}{2}[/tex]
So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: [tex]2\frac{2}{3}[/tex]
Hope it will find you well
List the angles in order from smallest to largest.
A) ∠A < ∠B < ∠C
B) ∠B < ∠A < ∠C
C) ∠C < ∠A < ∠B
D) ∠A < ∠C < ∠B
Answer:
the answer is C
Step-by-step explanation:
Answer:
C) ∠C < ∠A < ∠B
Step-by-step explanation:
What does percent mean?
Answer: A part or other object per hundred. Where a ratio second term is 100.
One student solved the inequality −4 > x −7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.
Answer:
Yes they are both correct
Step-by-step explanation:
Answer:
Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently. In each case, the variable, x, is by itself. Both solutions say that x is the larger expression.
Step-by-step explanation:
that was the sample response
Kristyaks Lonnie to think of a number at 3 to it multiply The Sound by two and then subtract 6 letter n stand for Lonnie starting number which expression represents Lonnie's final number
Correct Question:
Kristyaks Lonnie thinks of a number, adds 3 to it and multiply the Sum by 2 and then subtract 6. Letter n stands for Lonnie's starting number, which expression represents Lonnie's final number
Answer:
The final number is represented by the expression, m = 2n
Step-by-step explanation:
Steps:
The starting number = nLonnie adds 3 to the starting number, i.e. n + 3He multiplies the sum by 2, i.e. 2* (n+3) = 2n + 6He then subtracts 6, i.e. 2n + 6 - 6 = 2nLet Lonnie's final number be mThe expression representing Lonnie's final number is, m = 2n
An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
system decreases by about 32%. How much ibuprofen is left after 5 hours?
Answer:
116.31468544 mg ibuprofen left
Step-by-step explanation:
Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen
After 1 hour
→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left
After 2 hours
→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left
After 3 hours
→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left
After 4 hours
→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left
After 5 hours
→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left
To find the amount of ibuprofen left after 5 hours, the initial 800 mg is multiplied by 0.68 raised to the 5th power, resulting in approximately 115.28 mg remaining.
To calculate the amount of ibuprofen left after 5 hours, we can use the exponential decay formula. Since the amount decreases by 32% each hour, we can represent this as a decay rate of 68% (100% - 32%) remaining each hour. Therefore, the amount of ibuprofen after one hour is 68% of the initial amount, and we can represent this as a multiplication by 0.68 for each passing hour.
The formula to find the amount of ibuprofen left after 5 hours is:
Final amount = initial amount × (0.68)⁵
Using the initial amount of 800 mg and raising 0.68 to the 5th power:
Final amount = 800 mg × 0.68⁵
Final amount = 800 mg × 0.1441
Final amount ≈ 115.28 mg
So, approximately 115.28 mg of ibuprofen is left in the adult's system after 5 hours.
which figure has the greatest area
The next model of a sports car will cost 11.2% less than the current model. The current model costs $36,000. How much will the price decrease in dollars? What will be the price of the next model?
Answer:
The decrease in the price will be $4032
The price of the next model is $31968
Step-by-step explanation:
The current model costs $36,000.
The next model of a sports car will cost 11.2% less than the current model
So, decrease in price =[tex]11.2\% \times 36000[/tex]
=[tex]\frac{11.2}{100} \times 36000[/tex]
=4032
So, the price of next model decrease by $4032
So, the price of the next model= 36000-4032 =31968
Hence the price of the next model is $31968
graph the circle (x-1)2+(y-8)2=4
Answer:
Use desmos graphing calculator
Step-by-step explanation:
Answer:
radius: (1,8)
distance: 2
Step-by-step explanation:
1, 1/5, 1/25,1/125 what’s the next number
Answer:
1/625
Step-by-step explanation:
As you can tell, the order is going by 1/5 times the number of how many times it was done
Answer:
1/625
Step-by-step explanation:
1/5(5) =1/25(25)=1/125(125)=1/625