Answer:
3.75%
Step-by-step explanation:
Principal , P= $800
Number of years, t = 2
Total Amount paid back(principal + simple interest) , A = $860
To obtain the interest rate on the loan :
We use the Relation :
A = P(1 + rt)
r = interest rate
860 = 800(1 + 2r)
860 / 800 = 1 + 2r
1.075 = 1 + 2r
1.075 - 1 = 2r
0.075 = 2r
r = 0.075 / 2
r = 0.0375
Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%
Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 4x−7y=8 \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 x+8y=−5 1) How can we get System BBB from System AAA?
Answer:
First One is C and the second one is A
Step-by-step explanation:
I got it wrong then found out the answers
Systems of equations are collection of multiple equations
We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A
The systems of equations are given as:
System A
5x + y = 3
4x - 7y = 8
System B
5x + y = 3
x + 8y= -5
Subtract 4x - 7y = 8 from 5x + y = 3
So, we have:
[tex]\mathbf{5x - 4x + y+7y = 3 - 8}[/tex]
[tex]\mathbf{x + 8y =- 5}[/tex]
This means that, we can get system B from system A by:
Subtracting both equations in system AAnd by rewriting the first equation of system ARead more about systems of equations at:
https://brainly.com/question/12895249
Solve for m:
14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2
Answer:
D. m = 5/2
Step-by-step explanation:
35 / 14 = m
35 / 14 = 2.5
2.5 as a fraction is 5/2
The equivalent value of m is given by the expression m = 5/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:
14m/14 = 35/14
Simplifying, we get:
m = 35/14
On further simplification of the equation , we get
m = (35/7)/(14/7)
m = 5/2
Hence , the equation is m = 5/2.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Symify 9 to the 2 power / 9 to the 7 power
9514 1404 393
Answer:
1/9^5
Step-by-step explanation:
[tex]\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}[/tex]
_____
An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.
Daughter’s current age is 6 years which is 1/5 th of her mother’s age. After how many years mother’s age will be three times greater than daughter’s age.
Answer:
6 years
Step-by-step explanation:
6 = ⅕m
m = 30
"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."
In x years, mother will be 30+x and the daughter will be 6+x.
30+x = 3(6+x) = 18+3x
12 = 2x
x = 6
In 6 years, the mother will be 36 and the daughter will be 12.
How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation:
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a
rectangle using all the rope Ashley has with her?
14 m x 10 m
70 m × 70 m
60 m x 10 m
55 mx 10 m
Four angles are shown below. Recall that an angle completing a full rotation measures 2π radians.

Angle A represents ____ of a full rotation.
Therefore, Angle A has a measure of___ radians.
Angle B represents___ of a full rotation.
Therefore, Angle B has a measure of ____ radians.
Angle C represents____ of a full rotation.
Therefore, Angle C has a measure of ___radians.
Angle D represents_____ of a full rotation.
Therefore, Angle D has a measure of ___radians.
Answer:
Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of 6π/4.
The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
From the figure attached:
Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.
Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.
Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.
Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.
Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
Learn more about the angle here:
https://brainly.com/question/7116550
#SPJ2
Round 13.045 to the nearest whole number.
Answer:
13. it says nearest whole number.
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
150 meters is 30% of __________ meters. PLS HELP
Answer:
500
Step-by-step explanation:
150(100) = 15000 / 30 = 500
What is a natural number and what is a whole number? Explain..
Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero. In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers excluding zero, fractions, decimals and negative numbers.
The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
Natural numbers are also all numbers 1, 2, 3,4.. and so on. They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart, -4, -3, -2, -1, 0,1, 2, 3, 4,…
So in all these words, this means that natural numbers are all the numbers not including 0 and negative and whole numbers are all the numbers including 0 and negative.
7. Put these numbers into greatest to least order: 8.25, 8.52, 8.45, 8.54, 8.504
Answer:
8.54, 8.504, 8.52, 8.45, 8.25
Step-by-step explanation:
There are 60 dogs at the doggie daycare, 1/3 of the dogs are large dogs, 1/6 of the dogs are medium dogs, and the rest are small dogs. How many small dogs are there? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 1/17
B. 136
C. 30
D. 2/19
E. 25
Answer:
C. 30
Step-by-step explanation:
First, you want to make the two fractions have the same denominator. This means, that instead of saying that 1/3 of the dogs being large, you would say that 2/6 of the dogs are large. Then, combine the amount of large and medium dogs, making large and medium dogs 3/6 of all the dogs. The amount of small dogs must complete this fraction, so now we know that 3/6 of the dogs are small. This means half of the dogs are small dogs. Divide 60 by 2, and you have your answer.
The answer would be 30 small dogs
1/3×60 =20 = 20 large dogs
1/6×60=10= 10 medium dogs
20+10=30
60-30=30 = 30 small dogs
(+50)x(-10)
Respuesta, explicación, operación completa
Answer:
-500
Step-by-step explanation:
Find the value of x when y=13. Y=-3x+4
which expression is equivalent to:
D. (3/5)(9/7)
Since 3/5 divided by 7/9 equals 27/35 and (3/5)(9/7) equals 27/35 they are equivalent.
13+(x+8) plz i need help
Answer:
21+x
Step-by-step explanation:
Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.
13+(x+8)
21+x
Hope this helps!! Have a nice day ^^
Answer:
First off you would distribute the invisible positive 1 to the x and 8
Then you will get 13+x+8
Last add 13 and 8 to get 21
Your final answer is 21+x
Step-by-step explanation:
97 - 3 + 5³ ÷ 25 × 2 ×3² =
Answer:
139
Step-by-step explanation:
PEMDAS or Order of Operations
he line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
A. -2
B. -1
C. 2
9514 1404 393
Answer:
C. 2
Step-by-step explanation:
When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...
x = -b/(2a)
Solving for 'a', we find ...
a = -b/(2x)
For the given values b=-8 and x=2, the value of 'a' is ...
a = -(-8)/(2·2) = 8/4 = 2
The value of "a" is 2.
PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT
What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5
Answer:
4+4+4+4+5
Step-by-step explanation:
is 5 times the number only expanded
Answer:
4+4+4+4+5
Step-by-step explanation:
Do I have the right answer?
Which statement is true regarding the functions on the graph?
Answer:
f(-3) = g(-3)
Step-by-step explanation:
f(-3) = -4
g(-3) = -4
Therefore, they intersect at that point.
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
2x+30 = 90 (Choice A)
Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.
On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 1).
The graph shown is y =
x +
.
Answer:
[tex]m = -\frac{1}{2}[/tex]
[tex]y\ intercept = -1[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-2,0)[/tex]
[tex](x_2,y_2) = (0,-1)[/tex]
Required
Determine the slope and y intercept from graph
To calculate the slope, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-1-0}{0 - (-2)}[/tex]
[tex]m = \frac{-1}{0 +2}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The y intercept is when [tex]x = 0[/tex]
So,
[tex]y\ intercept = -1[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac{1}{2}(x - (-2)) + 0[/tex]
[tex]y = -\frac{1}{2}(x - (-2))[/tex]
[tex]y = -\frac{1}{2}(x +2)[/tex]
[tex]y = -\frac{1}{2}x -\frac{1}{2}*2[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
See attachment for graph
Answer:
The graph shown is y = -1/2
x +-1 .
Step-by-step explanation:
did on edge
Determine wether the following statement is always, sometimes, or never true. A regular polygon has all sides and angles congruent.
Answer:
most likely always. either that or sometimes I hope that answers your question!
4. If 4 bananas weigh 4 4/5 kilograms , how
many kilograms would you expect 3
bananas to weigh?
A.
//
C. 3
B. 1
}
D. D.8
Answer:
It's the same process, change 4 4/5 to an improper fraction = 24/5 then set up a proportion
4 bananas/(24/5) kg = 3 bananas/x kg take cross products
4x = 3 (24/5) = 72/5 divide by 4 (this is the same as multiplying by 1/4)
x = 72/20, change this to a mixed number = 3 12/20 = 3 3/5 kg
Step-by-step explanation:
Complete the statement with <, >, or=.
PLEASEE HELP
Answer:
< LK
Step-by-step explanation:
The higher the angle, the bigger the opposite side, so since 123 is bigger than 114, LK is bigger than MN
Can someone help me? Thank you!
Answer:
I believe that the one that is NOT true is Option, letter C. Pls mark brainliest.
Answer:The answer is D
Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.
Also brainly pls.
4.)Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?
y - 2 = 1/2(x - 3)
y + 3 = 1/2(x + 2)
y - 3 = 1/2(x - 2)
y + 2 = 1/2(x + 3)
Answer:
y - 2 = 1/2(x - 3)
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer: 95040
Step-by-step explanation:
It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)
Hence, to arrange 5 books from a total of 12 books on a book shelf is
nCr * r!
12C5 * 5!
792 * 120
= 95040
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure