Step-by-step explanation:
Step 1 :Write all the given value
Given
Princilal(P)= $3000
Time(T) =5year
Intrest(I) = $1050
Rate(R) =?
Step 2 : Finding rate using simple intrest formula
We know that
I =PTR/100
or 100I =PTR
or R =100I/PT
= 100* 1050/(5*3000)
= 105 /(5*3)
= 105/15
= 7%pa
Therefore Rate is 7%pa
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
6,2,2/3,..
Find the 8th term
Answer:
2/729
Step-by-step explanation:
This is a geometric progression.
14. Which statement is true about the equation below?
*5(2x + 8) = 2(5x + 8)
The solution to the equation is greater than 0.
A
B. The solution to the equation is less than 0.
C. The equation has infinitely many solutions.
D. The equation has no solution.
I need a break down to understanding this properly.
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answer:
4 1/3(b-21) im pretty sure
Last year a poll of 1,000 voters conducted by the staff of Senator Chun found that 522 people approved of the job the senator was doing. This year, a new poll of 1,000 voters shows that 423 people approve of the senator's performance. Find the percent of change in the number of voters who approved of the senator's performance, and identify it as an increase or decrease.
A 19%, increase
B 23.4%; decrease
C 23.4%, increase
D 19%; decrease
Answer:
19% decrease
Step-by-step explanation:
First, find out how much it decreased by. 522 - 423 = 99. Then, since it decreased by 99/522 you find the percent this is equal to, which would be
18.96%. = about 19%
It is going down, so it's decreasing
Turn 8/6 into a mixed fraction
HELP HELP HELP PLEASE!!!! Ryan sells beaded necklaces. Each large necklace sells for $4.10 and each small necklace sells for $3.80. How much will he earn from selling 1 large necklace and 5 small necklaces?
Answer:
23.10
Step-by-step explanation: Each large necklace is 4.10 There are only 1 largfe necklace he sold so we multiply 4.10 by 1 which is 4.10. A small necklace is 3.80 and he sold 5 of them so we multiply 5 by 3.80. 3.80 times 5 is 19. Then we add the large and small necklace product.
19+ 4.10=23.10
Answer:
23.1
Step-by-step explanation:
(4.10*1)+(3.80*5)
4.10*1=4.10
3.80*5=19
4.10+19=$23.1
Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
3 + 11 × 8^2 =
PLEASE HELP ASAP
3+11×8²
=3+11×64
=3+704
=707
Answer:
707
Concepts:
Order of Operations: PEMDAS
1. Parenthesis
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
Left to RightStep-by-step Explanation:
Follow the Order of Operations
Step 1: Solve exponents
3 + 11 × 8^2
8^2 = 64
3 + 11 × 64
Step 2: Solve Multiplication
3 + 11 × 64
11 × 64 = 704
3 + 704
Step 3: Add the Terms
3 + 704 = 707
Hence,
3 + 11 × 8^2 = 707
solve for x x/12−1=−6
x=
Answer:
x=-5
Step-by-step explanation:
x/12-1=-6
12-1
x/11=-6
-11 -11
========
x=-5
Hope that helps
An inequality is shown below.
Which situation is best represented by the inequality?
Answer:
Option C is the correct answer.
Comment for explaination
In the graph above, what's the distance between (5, –2) and (5, 3)?
Answer:
5
Step-by-step explanation:
To find the distance between two points, subtract the two values and find the absolute value. So in this question, our equation would be |-2-3| which equals |-5| which then solves to 5.
Find the value of each variable so that the quadrilateral is a parallelogram.
(3y)
(8x-6)°
42°
y =
Adinah and her friend planted a maple tree. The expression 3.1a + 5.2 can be used to find the height of the tree, in feet, after a years. How tall is the tree when a = 9
Answer:
33.1
Step-by-step explanation:
The tree would be 33.1 feet in 9 years.
the problem i put in my calculator is 3.1 * 9 + 5.2 , this is because if there is no sign indicating to add, subtract ect. you will multiply
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
what’s this pls help me !!!!!
Step-by-step explanation:
hope it's helpful ❤❤❤❤
THANK YOU
Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12
What is 4/7 x 4
Helppppp
Answer: 2 2/7
Step-by-step explanation:Make 4 to a fraction which is 4/1.And now you multiply 4/7 by 4/1 .ANd when you mutliply them together you get 16/7.Lastly,you change 16/7 to a mixed number which is 2 2/7.
Evaluate the expression 6x for x 6.
6x = blank when x=6
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
x = 6[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of 6x[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~ Plug the value of x and then multiply !
⇾ [tex] \tt{6x = 6 \times 6 \times = \boxed{36}}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{36}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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what is (1/2) by the third power?
Answer:1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2 = 1/8
9
Subtract the following polynomials: *
(1 Point)
(4x2 - 17x3 + 9) - (x² + 9x + 23x² + 11)
0 - 19.73 – 25x2 – 12x – 3
- 10.x3 – 162x2 – 24x - 4
-17x3 - 20x2 – 9x 2
-16x3 – 243x2 – 12x – 3
Step-by-step explanation:
1) Your problem → (4x^2 - 17x^3 + 9) - (x^2 + 9x + 23x^2 + 11)
(-17x^3+4x^2+9)-(x^2+23x^2+9x+11)
=-17x^3+4x^2+9-x^2-23x^2-9x-11
=-17x^3+4x^2-x^2-23x^2-9x+9-11
=-17x^3-20x^2-9x-2
2) Your problem → 0 - 19.73 - 25x^2 - 12x - 3
=0-19.73-25x2-12x-3
=-25x^2-12x-22.73
3) - 10.x^3 – 162x^2 – 24x - 4
4) Your problem → 17x^3 - 20x^2 - 9x^2
=17x^3-20x^2-9x^2
=17x^3-29x^2
5) -16x^3 – 243x^2 – 12x – 3
The hanger image below represents a balanced equation
Answer:
9.1 = a + 4
Step-by-step explanation:
Equations
If the hanger image represents a balanced equation, then the left and the right 'weights' on the hanger must be equal.
On the left side, there is a weight of 9.1, and on the right side, the weight is a+4. Balancing the hanger, we obtain the required equation:
9.1 = a + 4
Answer:
the equation would be 9.1 = a + 4
Step-by-step explanation:
khan academy
1) sin 102
in standard position
Answer:
What are you asking? Whats the problem?
Answer:
sin 102 cant be put into standard position its already in standard position if you want to covert to rectangular it would be sin (102).
Step-by-step explanation:
solve fast please. its related to mathematics...
Answer:
The answer is 6
Step-by-step explanation:
[tex]\lim_{x \to 4} \frac{x^3 - 64}{x^2 - 16} \\\\= \lim_{x \to 4} \frac{x^3 - 64}{(x + 4)(x - 4)} \\\\=\lim_{x \to 4} \frac{(x^2 + 4x + 16)(x - 4)}{(x + 4)(x - 4)} \\\\= \lim_{x \to 4} \frac{(x^2 + 4x + 16)}{(x + 4)} \\\\= (16 + 16 + 16) / 8\\= 48 / 8\\= 6[/tex]
When a business opens, it has an initial value of $956k. Two years later, the company has a value of $1.26 million. By how many dollars has the company increased in value?
Answer:
Step-by-step explanation:
the company increased in value by:
1,260,000-956,000=304,000 dollars
The value of the company has increased by 304k dollars.
What is a numerical expression ?A numerical expression is written in form of numbers and their operations.
Numerical expression can be formed from a given statement also.
According to the given question When a business opens, it has an initial value of 956k dollars.Two years later the company has a value of 1.26 million dollars.
We know 1 million is = 1000k.
∴ 1.26 million is = 1260 dollars.
So, by (1260 - 956 )k =304k dollars the company increased in value.
learn more about numerical expression here :
https://brainly.com/question/14642484
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how many tims can 60 go into 72 pls help
Answer:
The answer is 1 time
Step-by-step explanation:
If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.
The area of the square above is 36. What is the value of x?
A) 2
B) 4
C) 6
D) 9
I think it is A)2 because 3^2 = 9 and 9×4 = 36
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
Help please i will gove brainly
Answer:
$0.25 per pound (answer B)
Step-by-step explanation:
We can use any two points to give the answer, by doing the slope of the graph, using the formula:
slope = (y2-y1)/(x2-x1)
Using the points (0, 0) and for example (16, 4)
we have:
slope = (4-0)/(16-0) = 4/16 = 1/4 = $0.25 per pound
which agrees with answer B.
Answer:
B) 0.25 pounds
Step-by-step explanation:
Go up the graph to 4 and div the pounds by 4 and you get 0.25! :)
Evaluate the expression for m=4 n=5 p=-2
m^-n
Answer: 1/1024
Step-by-step explanation:
m^-n=4^(-5)
=1/(4^5)
=1/1024
Answer:
Equation :---
[tex] {m}^{ - n} [/tex]
where m=4, n=5 and p=-2
[tex] {4}^{ - 5} = \frac{1}{ {4}^{5} } = \frac{1}{1024} \\ [/tex]
1/1024 is the right answer.