Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}[/tex]
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
Finding the Interest
The sum of principal and interest is called an amount.
From the definition,
[tex] \boxed{ \sf{Amount = \: Principal + Interest}}[/tex]
plug the values
⇒[tex] \sf{14550 = 6000 + Interest}[/tex]
Swap the sides of the equation
⇒[tex] \sf{6000 + Interest = 14550}[/tex]
Move 6000 to right hand side and change its sign
⇒[tex] \sf{Interest = 14550 - 6000}[/tex]
Subtract 6000 from 14550
⇒[tex] \sf{Interest = \: 8550 \: }[/tex]
Interest = $ 8550
Finding the rate
[tex] { \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}} [/tex]
plug the values
⇒[tex] \sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }[/tex]
Calculate
⇒[tex] \sf{Rate = \frac{855000}{60000} }[/tex]
⇒[tex] \sf{Rate = 14.25 \: \% \: }[/tex]
Hope I helped!
Best regards!!
Amal can run 1\8 mile in 1 1\2
if Amal can maintain that pace, how long will it take him to run 1 mile
Answer:36 minutes.
Step-by-step explanation:
Multiply 12 by 3. I have this for homework right now and this is what i got and it was correct. I hope this helped!
please help me find the x
Answer:
x=2
bd/ba=be/bc
6/6+4=x+1/x+1+x
6/10=x+1/2x+1
12x+6=10x+10
12X-10X=10-6
2X=4
X=4÷2=2
Answer:
x = 2
Step-by-step explanation:
Basic proportionality theorem,
[tex]\frac{AB}{BD}=\frac{CB}{BE}\\[/tex]
AB = AD + DB = 4+6 = 10
CB = CE + EB = x + x +1 = 2x +1
[tex]\frac{10}{6}=\frac{2x+1}{x+1}[/tex]
Cross multiply
10*(x+1) = 6*(2x+ 1)
10*x + 10*x = 6*2x + 6*1
10x + 10 = 12x + 6
Subtract 10x from both sides
10x + 10 - 10x = 12x + 6 - 10x
10 = 2x + 6
Subtract 6 form both sides
10 - 6 = 2x + 6 - 6
4 = 2x
Divide both sides by 2
4/2 = 2x/2
2 = x
x = 2
Evaluate: -12x3 please help me with this
Answer:
-36
Step-by-step explanation:
12 * 3 = 36
When you multiply by a negative number, the number becomes a negative therefore, -12*3 = -36
Answer:
-36
Step-by-step explanation:
When multiplying a negative and a positive the answer is always going to be negative. So 12x3=36 and the 12 is negative and the 3 is positive, so the answer is -36.
write the quadratic equation in standard form x squared + 3x = 8
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
ax² + bx + c = 0 (standard form)
Answer:
x² + 3x = 8
Step-by-step explanation:
What is the slope? Look at the chart listed ✨
Answer:
m = -8/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(-70, 70)
(-10, -90)
Step 2: Find slope m
m = (-90 - 70)/(-10 + 70)
m = -160/60
m = -8/3
48=56+8b solve for b
Answer:
b= -1
Step-by-step explanation:
48 =. 56 +8b
-56 -56
---------------------------------
-8 = 8b
Divide 8 on both sides
-1=b
• Answer:
b = - 1
• Step-by-step explanation:
48 = 56 + 8b
48 - 56 = 8b
8b = - 8
b = - 8 ÷ 8
b = - 1
(17 points and brainliest!) If the point (x, y) is in Quadrant IV, which of the following must be true? A. x > 0 and y 0 C. x > 0 and y > 0 D. x < 0 and y < 0
Answer:
x>0 and y<0
Step-by-step explanation:
Quadrant IV is the bottom right corner.
X would have to be positive and Y would have to be negative.
Quadrants are simply the axes of a 2D coordinate that divides a plane into four segments.
The true statement is that: (a) x > 0 and y < 0
First, we analyze each quadrant
Quadrant 1
x and y are greater than 0Quadrant 2
x is less than 0y is greater than 0Quadrant 3
x and y are less than 0Quadrant 4
x is greater than 0y is less than 0By comparing the above to the list of given options,
The true statement about quadrant IV is (a) x > 0 and y < 0
See attachment for illustration of quadrants
Read more about quadrants at:
https://brainly.com/question/14450464
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
D
Step-by-step explanation:
just took it got it right
Answer:
its D
Step-by-step explanation:
PLEASE HELP What is the slope of the line y=−4y
Answer:
The slope is 0
Step-by-step explanation:
If the lines A and B are parallel then find the value of x
Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
use the associative and communicative properties to make this calculation easier. justify the steps.
6. (17×50)
Answer:
Step-by-step explanation:
6*(17*50) = 6 * (50 * 17) {Commutative property}
= (6 * 50) * 17 {Associative property}
= 300 * 17
= 5100
Turn 14/6 into a mixed number
[tex]2 \frac{2}{6} [/tex]is the mixed fraction of [tex] \frac{14}{6} [/tex]
Answer:
2 1/3
Step-by-step explanation:
You first have the fraction 14/6.
To convert it into a mixed number you have to divide 14 by 6.
14 divided by 6 is approximately 2.333333, continued.
2.3333 in fraction form is 2 2/6
But you have to simplify it making the fraction 2 1/3
The irrigation system for a farm sprays water in circular patterns. Each sprinkler is connected to a pipe in the center of a circle and rotates around that pipe. The largest sprinkler sprays water 20 feet. What is the circumference of the circle irrigated by this sprinkler?
Answer:
40 π ft or 125.6ft
Step-by-step explanation:
If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π
or 2r*3.14
The answer is either 40 π ft
or 125.6ft
5x^2y/15xy simplified?
Answer: x/3
Step-by-step explanation:
5x²y/15xy
=x²y/3xy ⇔ divide 5 on both sides
=x²/3x ⇔ eliminate y
=x/3 ⇔ divide x on both sides
Hope this helps!! :)
Please let me know if you have any question
Which mathematician wrote "The Elements"?
Answer:
Euclid wrote "The Elements''
Step-by-step explanation:
Answer:
Euclid
Step-by-step explanation:
"The Elements" is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
Answer:
21
Step-by-step explanation:
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
A students pays of 18 an hour is 4 more than twice the amount of the student earns per hour at an internship enter an solve an equation to find the hourly pay of the intership
Answer:
the hourly pay fro the internship is $7/hr
Step-by-step explanation:
The statement can be written mathematically as below
[tex]18 = 4 + 2x[/tex]
the hourly rate of the internship is [tex]x[/tex]
solving the equation, we have
[tex]18 = 4 + 2x[/tex]
subtract 4 from both sides of the equation
[tex]18 - 4 = 4 +2x -4[/tex]
[tex]14 = 2x[/tex]
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
the hourly pay fro the internship is $7/hr
Answer: $7
Step-by-step explanation:
According to the question , we have
$18=4+2 (amount of the student earns per hour at an internship)
Let x be the amount of the student earns per hour at an internship, then the equations will be
18 = 4+2x
Subtract 4 from both sides , we get
14 = 2x
Divide both sides by 2, we get
7 = x
Hence, the hourly pay of the intership was $7 .
please help
use the numbers 5 and 3 to provide an example of the Commutative Property of Addition.
Answer:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
NEED HELP ASAP
given m||n find the value of x
Answer:
x=15
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
6x+8 = 7x-7
Subtract 6x from each side
6x+8-6x = 7x-7-6x
8 = x-7
Add 7 to each side
8+7 =x
15=x
[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]
[tex]\boxed{x \:= \:15}[/tex]
A monomial
B binomial
C trinomial
D quadrinminal
Pls check if these are correct. 1) If the following statement true or false? Explain your reasoning. All integers are rational numbers. (1 pt.) - The statement is false because 0 is an integer but cannot be written as the ratio of two integers - The statement is true because all numbers are rational numbers ✅ The statement is true because any integer x can be written in the for x/1, which is the ratio of two integers - The statement is false because 1/2 is a rational number but not an integer 2) Which of the following must describe an irrational number?(1 point) ✅ A number with a non repeating and non terminating decimal expansion - A number with a non terminating decimal expansion - A number with a non repeating decimal expansion - A number with a repeating or terminating decimal expansion 3)Which axiom is used to prove that the product of two rational numbers is rational?(1 point) - Natural numbers are closed under multiplication - Whole numbers are closed under division ✅ Integers are closed under multiplication - Integers are closed under division 4) Without calculating, how do you know the product 2/21 x 3/31 is rational? (1 point) - The product of any two positive numbers is rational. - When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1. ✅ Rational numbers are closed under multiplication, meaning that the product of rational numbers is rational. - When multiplying fractions. the product of two fractions is rational so long as both fractions are fully reduced 5) What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point) ✅ 1/2 - 1/10 - 0 - 1 Thx if you help
Answer: please find the answer in the explanation
Step-by-step explanation:
1.) All integers are rational numbers.
The statement is false because 1/2 is a rational number but not an integer
2.) Which of the following must describe an irrational number?
- A number with a repeating or terminating decimal expansion.
3.) Which axiom is used to prove that the product of two rational numbers is rational?
Integers are closed under division
4.) Without calculating, how do you know the product 2/21 x 3/31 is rational?
When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1.
5.) What rational number, when multiplied by an irrational number, has a product that is a rational number? 1/10
Answer:
fraction
Step-by-step explanation:
correct on edge
Frank works in the supply room of a law firm. At the beginning of the month, he had 27 boxes of pens with 13 pens in each box. At the end of the month, there were 61 pens left. How many pens did he give out over the month?
Answer:
290
Step-by-step explanation:
first you multiply 27 times 13 and get 351.you then subtract 351 from 61 and get 290.
Answer:
290
Step-by-step explanation:
27x13 = 351
351-61= 290
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1/2x. Explain who is correct.
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10).
Step-by-step explanation:
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10)
Step-by-step explanation:
got correct on edge 2022
Explain the difference between f(2) and f(x) = 2. Use a verbal explanation and create examples to make it very clear. Please help me out
Let x be a variable, and f(x) a function of that variable.
f(2) is a number ; it's the value of the function f(x) when x = 2, assuming that value exists.
f(x) = 2 is a statement ; it says there is some value of x for which the function returns a value of 2. Because it's a statement, it can be true or false.
Here's an example:
Define f(x) = sin(x). Then f(2) = sin(2) ≈ 0.909297.
If x is a real number, then the statement sin(x) = 2 is false, because -1 ≤ sin(x) ≤ 1 for all real x.
If we replace 2 with 1, on the other hand, we get
f(1) = sin(1) ≈ 0.84147
and
sin(x) = 1 ==> x = π/2 + 2nπ
where n is any integer. (So we're talking about numbers like π/2, -3π/2, 5π/2, -7π/2, and so on.) We're saying here that any real number x of the above form satisfies the equation and makes the statement true.
please answer question with explanation
Answer:
Domain: [tex]\{x|x\in\mathbb{R}\}[/tex]
Range: [tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]
Step-by-step explanation:
The domain is the span of x-values the graph covers.
The range is the span of y-values the graph covers.
The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.
Thus, the domain is all real numbers.
In set notation, this is:
[tex]\{x|x\in\mathbb{R}\}[/tex]
From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.
So, the range is all real numbers less than or equal to -2.
In interval notation, this is:
[tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]
And we are done :)
Which of the statements about the following quadratic equation is true?
6x² – 8 = 4x2 + 7×
Answer:
Its a quadratic eqn with complex roots
Answer:
The answer is A on edunuity.
Step-by-step explanation:
Solve it: 3^x-1=(√3) Plz solve fast
Answer:
x = 3/2
Step-by-step explanation:
3^(x-1)=(√3)
Rewriting sqrt(3) as 3 ^ 1/2
3^(x-1)= 3 ^ (1/2)
The bases are the same so the exponents are the same
x-1 = 1/2
Add 1 to each side
x-1+1 = 1/2 +1
x = 3/2
let's f (x)= 3x - 7 find F (a + 2)
Answer:
3a-1
Step-by-step explanation:
Substitute
3(a+2)-7
Distribute
3a+6-7
Simplify
3a-1
Answer:
Hope it can help you and please mark me as a brainlist...
There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip? 6
Answer:
A
Step-by-step explanation:
So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.
The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.
The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.
So, the probability of pulling a chocolate chip cookie consecutively is:
[tex]\frac{1}{4}\cdot\frac{1}{5}=\frac{1}{20}[/tex]
Our answer is A :)
please help (20 points + brainlest)
Answer:
PT = 24
Step-by-step explanation:
PT = TQ
3x + 6 = 5x - 6
12 = 2x
x = 6
PT = 3(6) + 6
PT = 18 + 6
PT = 24
Answer:
24
Step-by-step explanation:
From the pic,PT=TQ
therefore,
3x+6=5x-6
5x-3x=6+6
2x=12
therefore, x=12/2
=6
therefore, PT=3×6+6
=24