Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
Is (8, 2) a solution to this system of inequalities?
y ≥ x + 1
y ≤ 2
Answer this for and you will eat within the next year.
A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the same muffin?
Answer:
2 1/2 cups
Step-by-step explanation:
3 dozen muffins = 1 1/2 cups
divided by 3, you get 1 dozen muffins = 1/2 cup of flour
multiply by 5 you get 2 1/2 cups of flour
what would be the answer to this question?
Answer:
5
Step-by-step explanation:
2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84
4*x = 16
x = 4
Right, 8 is the biggest frequency
will give brainliest
please answer will give brainliest
Answer:
2 Gallons
Step-by-step explanation:
20.5ft x 16.4ft = 336.2
336.2 divided by 200= 168 gallons
Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.
Help me please answer
Answer:
B.........................
Answer:
36 because 2 x 3 = 6 and 6 x 6 = 36
Step-by-step explanation:
The answer is D
20 points. Picture says it all.
Answer:
AC line = DB line
Step-by-step explanation:
ac line is always larger that db line
How is commission calculated?
Answer:
just take sale price, multiply it by the commission percentage, divide it by 100. then you should get it
Step-by-step explanation:
Answer/Step-by-step explanation
To find the commission on a sale, multiply the rate of commission by the total sales A commission is a percentage of total sales as determined by the rate of commission. Just as we did for computing sales tax, remember to first convert the rate of commission from a percent to a decimal.
You have a rental company come and set up a tent for a wedding banquet. Each pole is 7 feet tall and the 20 foot-long rope goes from one stake to an eyelet at the top of the pole and back to the other stake. What is the equal distance each stake will be away from the base of the pole?
Answer and explanation:
The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).
The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.
Therefore c²=a²+b²
c=20ft
a= 7ft
b= unknown
So we use the formula to find unknown side(distance from stake to base of pole)
20²=7²+b²
400=49+b²
b²=400-49
b²= 351
b=√351
b= 18.735ft
Therefore distance from stake to base of pole = 18.735 feet
any smart people want to help me
Answer:
$217.50
Step-by-step explanation:
$135 + (11*$7.50) = $217.50
Answer:
B
Step-by-step explanation:
26 students = 15 students + 11 students
135 for 1st 15, 7.50 for rest
135 + 7.50(11) = 217.50
Therefore, B
Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4
Answer:
turning point: (-3 , -16)
Step-by-step explanation:
y = x² + ax + b pass(0,-7)(7,0)
(0)² + 0*a + b = -7 b= -7
(7)² + 7*a - 7 = 0 7a = 42 a = 6
y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16
(h,k): vertex equation: y = a(x-h)² + k
h = -3 k=-16
In your own words explain how you would solve this two step equation for the variable x. 9x-7=-7
Answer:
Add 7 to both sides
Step-by-step explanation:
The equation has to be just x = y
There cannot be another number on the same side as the variable
Now that we did that, the equation is 9x = 0
x = 0
Well, that was easy lol
Answer:
Step-by-step explanation:
Add 7 to both sides
9x = 0
Then divide by 9 both sides to get x by itself
x = 0
IM GIVING 43 POINTS PLS ANSWER ASAP I MARK BRAINLIEST
Answer:
m = 3Step-by-step explanation:
Get two points and use slope formula
Points
(50, 40) and (60, 70)Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) m = (70 - 40)/(60 - 50) = 30/10 = 3Find the inverse of 3x - 6
3x - 6
3x - 6
-3x + 6
-3x + 6
3x + 6
3x + 6
-3x + 6
Answer:
3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.
Hey I need some help
Answer:
27
Step-by-step explanation:
It is an equilateral triangle, so all sides are 9 ft. 9*3=27.
5. There are three different colored M&Ms
red, green, and white. The probability of
selecting a red M&M is 2/5 and the probability
of selecting a green M&M is 1/4 so what is the
probability of selecting a white M&M?
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )
[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a
20/20 - a = ?
ANSWER: 7/20
The probability of selecting a white-colored M&M is 7/20.
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
8/10 +5/20 = 8/20 + 5/20 = a
20/20 - a = ?
Therefore the probability of selecting a white M&M is 7/20.
To learn more about probability visit:
https://brainly.com/question/24756209
#SPJ2
Please help I don't know where to start
A and B are points with position vectors a and b respectively. C is the point on AB such
that AC = 3CB .
Find the position vector of C in terms of a and b.
Answer:
I hope you understood
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]Write the equation of this line in y= mx + b form
Answer:
y = 2/3x - 1
Step-by-step explanation:
that should be correct, hope this helps!
y = 2/3x - 1
hope this helps,, have a nice day :))
Find (f*g)(x) f(n)=2n; g(n)= -n-4
Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center
Answer:
because they are congruent to the original angle
Step-by-step explanation:
they are congruent to the original triangle. nothing will change.
The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
What is congruent?The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.
Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
Learn more about lines here: https://brainly.com/question/24271130
X/6 = 3 x=____ help
Answer:
x =18
Step-by-step explanation:
[tex]\frac{x}{6} = 3[/tex]
x = 3 x 6
x = 18
Verify:
[tex]\frac{18}{6} =3[/tex] (Correct)
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
Can someone please help me????
Answer:
No
Step-by-step explanation:
No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.
Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.
Answer:
only 1 and 2 are correct
Step-by-step explanation:
Here, we want to select appropriately
From the question, all we had to do is to make a subtraction; and that is;
3 5/12 -2 2/3
1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes
2. 3 15/36 can be reduced to 3 5/12
and 2 24/36 can also be reduced to 2 2/3; so this is correct also
3. This is wrong
4. This is wrong
Pls help me with my homework
Answer:
Yes
Step-by-step explanation:
It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle
Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.
Answer:
Detail attached
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEST
Which of the following statements is not true?
-1 < -1.5
1.7 > 1
≤
0.01 < 0.1
Answer:
-1 < -1.5
Step-by-step explanation:
when using negative numbers, larger numbers will be smaller. so even tho 1.5 seems to be .5 bigger, it is negative, so it is .5 smaller
find the missing lengths of the sides.
Given:
The figure of a right angle triangle.
[tex]a=b[/tex]
Hypotenuse = [tex]9\sqrt{2}[/tex] in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.
Using Pythagoras theorem, we get
[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]
[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]
[tex]81(2)=(a)^2+(a)^2[/tex] [tex][\because a=b][/tex]
[tex]81(2)=2(a)^2[/tex]
Divide both sides by 2.
[tex]81=(a)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side cannot be negative. So,
[tex]9=a[/tex]
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.