(a)
[tex]SI = \frac{PRT}{100} \\ = \frac{1800 \times 5 \times 1}{100} \\ = 18 \times 5 \\ = 90[/tex]
Total amount = SI + Amount
= 90 + 1800 = $1890
(b)
[tex]SI = \frac{PRT}{100} \\ = \frac{2600 \times 12 \times 3}{100} \\ = 26 \times 12 \times 3 \\ = 26 \times 36 \\ = 936[/tex]
Total amount = SI + Amount
= 936 + 2600 = $ 3236
(c)
[tex]SI = \frac{PRT}{100} \\ = \frac{3125 \times 15 \times 0.2}{100} \\ = 93.75[/tex]
Total amount = SI + Amount
= 93.75 + 3125 = $ 3,218.75
The simple interest on $1800 is $90.
The simple interest on $2600 is $936.
The simple interest on $3125 is $93.75
What are the simple interests?Simple interest is when interest is earned only on the amount of money deposited.
Simple interest = amount deposited x time x year
1800 x 0.05 x 1 = $90
2600 x 0.12 x 3 = $936
3125 x 0.15 x (73/365) = $93.75
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a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
what is the answer??
Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
Write an equation of the line that passes through the points (3,6) and (4,9)
Answer:
y=3x-3
Step-by-step explanation:
slope = change in y/change in x
slope = 3/1 = 3
y-intercept = y value when x=0
go 3u left, 3x3 = 9 so 9u down
(0,-3)
slope = m = 3
y-int = b = -3
y=mx+b
y=3x-3
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.
The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? â€"4x3 14x â€" 24 square centimeters 2x3 â€" 6x2 â€" 14x 24 square centimeters â€"4x3 â€" 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
The base of the parallelogram is represented by b
[tex]b = (x - 4)[/tex]
The height of the parallelogram is represented by h
[tex]h = (2 {x}^{2} - 6)[/tex]
The area of the parallelogram is represented by A
A = bh
A = (x - 4)(2x²- 6)
A = 2x³ - 6x - 8x² + 24
A = 2x³ - 8x² - 6x + 24
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
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Answer:
B. 2x3 – 6x2 – 14x + 24 square centimeters
Step-by-step explanation:
Have the day you deserve :)
can u answer this question?
Step-by-step explanation:
sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.
if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.
really, that is all that is there to it.
so,
|11| = 11
|-12| = 12
no big magic, no mystery, no tricks or formulas to know.
it just is ...
How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
Allen's daily regular wage is P1,420. This coming Christmas, his boss is asking him to work for 14 hours. How much is his DAILY RATE on that particular day?
Php 1,420
Php 2,840
Php 2,420
Php 1,840
Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .
This question is solved by proportions, using a rule of three.In a regular 8-hour day, Allen earns Php 1420. How much will he earn on a 14 hour day?The rule of three is:
8 hours - Php 1420
14 hours - x
Applying cross multiplication:
[tex]8x = 1420 \times 14[/tex]
[tex]x = \frac{1420 \times 14}{8}[/tex]
[tex]x = 2485[/tex]
The closest option is Php 2,420.
A similar problem is given at https://brainly.com/question/24372153
Which description best describes the association between variables x and y?
A.strong positive
B.strong negative
C.weak positive
D.weak negative
Answer:
A. Stong positive
Step-by-step explanation:
Both the x and y variables move into the higher number on the chart!
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning form them:
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
show work! giving brainly! my teacher told me this was wrong, what's the correct answer?
Answer:
it's Ahmed shoveled more
Will mark brainliest (give me 2 possible answers pls)
Answer:
x+5/x+6
Step-by-step explanation:
What is the quotient? 2 1/5/1-/10
the answer is -0.22
[tex] \: \: \: [/tex]
[tex] = \: \: \: \: - 22[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]
convert the mixed number to an improper fraction[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]
use - a / b = a / - b = a - / b to rewrite the fraction[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]
simplify the complex fraction[tex] = \: \: \: - 22[/tex]
hope it helpsFind the value of x so that the function has the given value.
n(x) = 5x + 8; n(x) = 23
helpppppppppppppppppppppppppppppppppppppppppppp
Answer:
18/66 (or 27%)
Step-by-step explanation:
6/11 chance of pink and 3/6 chance of odd number
6/11 * 3/6 = 18/66
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?
(x, y) + (x - 5, y + 3)
(x, y) = (x - 3, y + 5)
(x, y) = (x + 5, y - 3)
(x, y) = (x + 3, y-5)
Answer:
The answer is (x, y) = (x + 3, y-5)
Step by step explanation:
So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).
Your Welcome. :)
the area of a square whose length is 4.5 m
area of a square = length × length
a=4.5×4.5
convert each fraction to a decimal then a percent 4/25 3/11
Answer:
4/25=0.16=16%
3/11=0.27=27%
Step-by-step explanation:
8. If the measure of one side of a square is increased by 2 centimeters and the measure of
the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is
32 square centimeters. Find the measure of one side of the square (the original figure).
Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
__
Check
The modified figure is 8 cm by 4 cm = 32 cm^2.
All 136 students in the Math Club went on a field trip. Some students rode in cars which hold 4
students each and some students rode in buses which hold 30 students each. How many of each type
of vehicle did they use if there were 8 vehicles total?
Answer:
They used 4 buses and 4 cars
Step-by-step explanation:
136/30= 4.5 (which means we can full 4 buses)
If we fill 4 buses : 4x30=120
We have 4 vehicles left and 16 students left too.
4x4= 16
We can fit every studens in the cars.
Which kind of symmetry does the word TOOT have?
A. both vertical and horizontal line symmetry
B. vertical line symmetry, only
C. neither horizontal nor vertical line symmetry
D. horizontal line symmetry, only
The kind of symmetry that it forms is vertical line symmetry, only
What are vertical line symmetryLine of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.
According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only
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G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
Car Miles Driven Gallons Used
Car A 84 2
Car B 90 4.5
Car C 108 3
Car D 185 5
Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D
Answer:
A is correct. Car D will go furthest.
Step-by-step explanation:
Mark is mixing blue paint and yellow paint in the ratio of 2 to 3 to make him pay he wants to make 45 L of green paint he be able to make a table to help him think about the problem but he’s unsure of what to do next marks for an Amanda is also mixing paint she wants to make purple paint by mixing 2 cups of blue paint and with the 4 cups of red paint Amanda mixes paint with is left with 48has a purple paint
Answer:
This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Step-by-step explanation:
please mark me brainliest
solve pls brainliest
How can I use the scale factor to determine if a picture is a reduction?
Answer:
hope it's help pohh mark me brain less
I need help with this please
Answer:
False
Step-by-step explanation:
Angle S is 6.75
Angle R is 6.8
Angle Q is 10.54
As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.
12. Name the angle included between AB and AD.
Answer fast
Answer: Either angle DAB or angle BAD
Explanation:
The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.
Which expression is equivalent to 9(h + 2)?
Answer:
9h + 18
Step-by-step explanation:
9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.
A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km