I dont really know how to give an explanation in detail but the answer is 32.40
5400 x .06 x 1
(turn the percent into a decimal)
The interest should be paid for 1 year is $324.
What is the Formula for Simple Interest?The formula for Simple Interest
SI = ( PRT)/100
where, P- Principal
R- Rate
T- Time
Given:
P = $5400
R= 6%
T= 1 year
So, Simple Interest
= PRT/100
= 5400 x 6 x 1 /100
= $324
Hence, the interest should be paid for 1 year is $324.
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find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6
Answer:
[tex]y = 2x - 6[/tex]
Step-by-step explanation:
Given
Equation: [tex]y = 2x - 6[/tex]
Required
Determine the equation of Point: (5,4)
First, we need to determine the slope of [tex]y = 2x - 6[/tex]
The general form of an equation is [tex]y = mx + b[/tex]
Where m represents the slope;
Hence; [tex]m =2[/tex]
Since the equation and the point are parallel. then they have the same slope (m).
[tex]m = 2[/tex]
Next, is to determine the equation of the point, using the following formula:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,4)[/tex]
So, the equation becomes
[tex]2 = \frac{y - 4}{x - 5}[/tex]
Cross Multiply
[tex]y - 4 = 2(x - 5)[/tex]
Open Bracket
[tex]y - 4 = 2x - 10[/tex]
Make y the subject of formula
[tex]y = 2x - 10 + 4[/tex]
[tex]y = 2x - 6[/tex]
Hence, the equation is [tex]y = 2x - 6[/tex]
write the prime factorization of the following
(A) 27
(B) 64
(C) 125
Answer:
A) 27 = 3 × 3 × 3
B) 64 = 2 × 2 × 2 × 2 × 2 × 2
C) 125 = 5 × 5× 5
Step-by-step explanation:
Answer:
(A) 27 = 3 by 3 by 3
(B) 64 = 2 by 2 by 2 by 2 by 2 by 2
(C) 125 = 5 by 5 by 5
Step-by-step explanation:
How many total necklaces can Maria own?
Answer:
49
Step-by-step explanation:
She can buy 46 more and she has three, so she can own 49
Answer:
Maria can own 15 necklaces.
Step-by-step explanation:
Sorry if i'm wrong but i hope this helps : )
What is the simplified form of this expression (8x^2-3x+1/3) - (2x^2-8x+3/5)
Answer:=6x2+5x + −4/15
Step-by-step explanation:Let's simplify step-by-step.
8x2−3x+13−(2x2−8x+3/5)
Distribute the Negative Sign:
=8x2−3x+13+−1(2x2−8x+3/5)
=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)
=8x2+−3x+13+−2x2+8x+−3/5
Combine Like Terms:
=8x2+−3x+1/3+−2x2+8x+−3/5
=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)
=6x2+5x+−4/15
Given f(x)= 18x + 12, find f(5).
Answer:
102
Step-by-step explanation:
Given f(x) =18x+12
F(5)=18(5)+12
=90+12
=102
Will you brainliest!!! Only question 10-14!
Answer:
10. <PTR = 80
11. < PTQ = 45
12. <QTS = 130 - 45 = 85
13. Luis didn't subtract 80 by 40
14. 180
olivia can run 100 yards in 15 seconds. what is her speed in miles per hour?
14 mph
Step-by-step explanation:
13.636364
is what you get by doing
100/15 then you get 6.6666......7
after that you multiply that by 3600 because thats how many seconds in that hour.
Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph
PLEASE MARK MY ANSWER BRAINLIEST
Pencils are sold in packages of 10, and erasers are sold in packages of 6. What is the least number of pencils and erasers you can buy so that there is one pencil for each eraser with none left over?
name the part of the circle
Answer:
radius
Step-by-step explanation:
i believe it is radius because in my point of view it looks like the line travels up to the half of the circle.
Segment AB has a midpoint M. If A is located at (4, 2) and M is located at (7, -3), what are the coordinated of B?
Steve is cutting out decoration stars for his neighbors Labor day celebration. Steve has to cut out 9 stars in the last 10 minutes. How many stars should Steve expect to cut in one hour?
Answer:
54 Stars
Step-by-step explanation:
Step 1:
60 mins = 1 Hour
Step 1:
10 × 6 = 60
Step 2:
9 × 6 = 54
Answer:
54 Stars
Hope This Helps :)
Answer:
54
In 1min star cutted= 9÷10
So in 1 hr or in60 min star cutted =60×9÷10
=54
Hotah and his 3 friends are each running 1/4 of a 2-mile relay race. How far is each person running?
Answer:
Each friend is running a half mile.
They are running 1/2 mile.
What are arithmetic operations?The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.
They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.
Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race
total distance covered by them out of 2 miles is
2 x 1/4 = 1/2 miles
Therefore each person runs at 1/2 a mile.
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Part I: Describe how the account balance of a savings account earning simple interest is determined.
Part ll: Explain the difference between a savings account earning simple interest and a savings account earning compound interest.
Part Ill: Which type of savings account would you open and why?
Answer:
part 1: You start with an annual "simple interest rate," which is the percentage of the principal balance your money earns each year. ... Add the daily interest earned to the balance.
part 2: Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.
part 3: a compound interest account and here's why. When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate
Step-by-step explanation:
Divide 60kg in the ratio 5:7
Step-by-step explanation:
Hey there!!
Given, The ratio is: 5:7
Let x be a common factor.
Now,
5x+7x = 60
12x = 60
[tex]x = \frac{60}{12} [/tex]
Therefore, x= 5.
5x = 5×5 = 25.
7x= 7×5=35.
Hope it helps...
what is sin 63°? round your answer to the nearest hundredth
Answer:
0.89
Step-by-step explanation:
it was right
The value of the trigonometric function sin 63° is 0.89. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
Given that,
the trigonometric function is sin63°
the value of sin63° = ?
One of the way to calculate the value of sin63° is by using calculator
And from the calculator its value can be estimated as 0.89100
After round figure up-to two digit
we can write the value sin63° is 0.89.
Hence, the value of the function from the calculator is comes out as 0.89.
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On approximately what percent of the days was the rainfall more than 15 mm?
Answer: monday aug 13
Step-by-step explanation:
Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes way 2 lb, and her books (b) weigh 3 lb each. how many books can she carry in her backpack?
Answer:
Toni can carry a total of 5 books.
Step-by-step explanation:
[tex]1+2+3b\leq18[/tex] - Write the inequality out .
[tex]3+3b\leq 18[/tex] - Combine like terms.
[tex]3b\leq 15[/tex] - Subtract 3 from both sides .
[tex]b\leq 5[/tex] - Divide both sides by 3.
She can carry a max of 5 books.
Hope this helps!
elsa bakes a small cake for her family. first her sister has one quarter and her mom ate one third. how much cake was left for else?
Answer:
5/12 cake was left for everyone else
Step-by-step explanation:
1/4 + 1/3
convert so denominators are equal
1/4 x 3 = 3/12
1/3 x 4 = 4/12
3/12+4/12=7/12
12/1-7/12= 5/12
Answer:
4/9
Step-by-step explanation:
What is the image of the point (-9, -8) after a rotation of 90° counterclockwise
about the origin?
Answer:
-x,y
Step-by-step explanation:
The coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
A rotation of 90° counter-clockwise about the origin is defined as the x-coordinate and y-coordinate change places, and the line y = x is the coordinates (-x , y).
To determine the image of the point (-9, -8) after a rotation of 90° counterclockwise about the origin
Suppose, the coordinates are (a,b)
A point (a,b) reflected across the line y = -x will become (-a,b).
Let a = -9 and b = -8
Substitute the values of a and b,
So the coordinates of image (9, -8)
Hence, the coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.
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The frequency table shows the results of tossing a ball 24 times into the four coloured sections on a carnival game Section | number of | Tosses Blue | 3 Green | 5 Red | 12 Yellow | 4 Based on the data on the table, how many times will the ball most likely land in the yellow section when it is tossed 200 times? A. 35 B. 40 C. 50 D. 65
Answer:
50
Step-by-step explanation:
you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5
Answer: 50
Step-by-step explanation:
(7x^3)(3x^7) your answer should be a monomial in standard form
Answer:
i think its 21x^10
Step-by-step explanation:
please solve the following question
Answer:
5
Step-by-step explanation:
15(8/(8+16))
15(8/(24))
15(1/3)
5
Answer:
4.95
Step-by-step explanation:
15(8÷(8+16))
= 15(8÷24)
= 15×0.33
Reason for this answer↑: It was written as “8÷24” not “24÷8”
= 4.95
Help please!!! 15 points!
what are the two ways that rational numbers are written as decimals
Answer:
Repeating Decimals and Terminating Decimals
Step-by-step explanation:
Any number that can be written in fraction form is a rational number.
Hope This Helps :)
Find the perimeter of triangle PQR if the vertices are P(3,0), Q(-1,3) and R(11,6).
[tex]\dag\bf\:P(x_1,y_1)=(3,0)[/tex]
[tex]\dag\bf\:Q(x_2,y_2)=(-1,3)[/tex]
[tex]\dag\bf\:R(x_3,y_3)=(11,6)[/tex]
❅ Distance between P and Q :
[tex]\sf\:PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-1-3)^2+(3-0)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-4)^2+(3)^2}[/tex]
[tex]\sf\:PQ=\sqrt{16+9}[/tex]
[tex]\sf\:PQ=\sqrt{25}[/tex]
[tex]\bf\:PQ=5\:unit[/tex]
❅ Distance between Q and R :
[tex]\sf\:QR=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]
[tex]\sf\:QR=\sqrt{(11-(-1))^2+(6-3)^2}[/tex]
[tex]\sf\:QR=\sqrt{(12)^2+(3)^2}[/tex]
[tex]\sf\:QR=\sqrt{144+9}[/tex]
[tex]\sf\:QR=\sqrt{153}[/tex]
[tex]\bf\:QR=12.37\:unit[/tex]
❅ Distance between P and R :
[tex]\sf\:PR=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}[/tex]
[tex]\sf\:PR=\sqrt{(3-11)^2+(0-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{64+36}[/tex]
[tex]\sf\:PR=\sqrt{100}[/tex]
[tex]\bf\:PR=10\:unit[/tex]
◈ Perimeter of Triangle :
➝ perimeter = PQ + QR + PR
➝ perimeter = 5 + 12.37 + 10
➝ Perimeter = 27.37 unit
congruence transformation pls help me thanks
Answer:
X,6,1
Step-by-step explanation:
i mean thats what i think the answer is.
it flips down over the x axis. (x)
then it moves right 6 (x+6)
then it moves up one (y+1)
PLEASE HELP IM TRYING TO CATCH UP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hello guys images not coming
Step-by-step explanation:
please send the image clearly
Evaluate this expression for b= 3, and a=2. b-a
Answer: 1
Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.
Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?
Answer:
A) Steve = Ryan +18
B) Steve + Ryan = 144
A) Steve -Ryan = 18 then adding B
B) Steve + Ryan = 162
2 Steve = 162
Steve weighs 81 pounds
Ryan weighs (81 -18) pounds 63 pounds
Step-by-step explanation:
what is the difference between equality and inequailty
Answer:
Step-by-step explanation:
Inequality and equality is that inequality is an unfair, not equal state while equality is (uncountable) the fact of being equal.