Answer:
$57 interest
Step-by-step explanation:
For an interest rate of 19% ; the monthly interest will be 19/100 = 0.19
4 months interest will be (0.19 * 4)/12 = 0.0633
so now, the value of the interest will be
0.0633 * 900 = $57
a = 3d
work out the value of 'a' when , d= 5
Answer:
15
Step-by-step explanation:
a = 3d
Let d=5
a = 3*5
a = 15
The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.
The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.
What is the algebraic expression to model the area of the rectangle?Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".
L be the length of the rectangle
H be the height of the rectangle
By converting the given information into an algebraic expression, we get
Length = 2H - 5
The area of a rectangle is given by the formula;
Area of rectangle = L [tex]*[/tex] H
Where L is the Length.
H is the Height.
Substituting the values into the formula, we have;
Area of rectangle = (2H - 5) [tex]*[/tex] H
Area of rectangle = 2H² - 5H
Therefore, the area of rectangle = 2H² - 5H.
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A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?
Answer:
[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]
Step-by-step explanation:
.12x + .2y = 14
x + y = 100
Answer:
Its B
Step-by-step explanation:
Find the equivalent percent for ¾
3/4 is equivalent to 75%.
To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.
Answer:
75%....3/4 expressed as a percentage is just multiplying 3/4 and 100
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.
Answer:
Y = 1/4 x -3
Step-by-step explanation:
x1 y1 x2 y2
0 -3 -8 -5
ΔY -2
ΔX -8
slope= 1/4
B= -3
Y =0.25X +-3
find the missing length
Answer: x = 120
Step-by-step explanation:
Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex] since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.
Which equation represents the graph?
y=3x²-4
y=-3x²-4
y=-3x²+4
y=3x²+4
Solve for x
Need help asap
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of [tex]2x+6[/tex] corresponds with the angle marked as [tex]x+9[/tex]. Therefore, its measure must also be [tex]x+9[/tex].
Since these two angles form one side of a line which has 180 degrees, we have the following equation:
[tex]2x+6+x+9=180[/tex]
Combine like terms:
[tex]3x+15=180[/tex]
Subtract 15 from both sides:
[tex]3x=165[/tex]
Divide both sides by 3:
[tex]x=\frac{165}{3}=\boxed{55}[/tex]
Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−5x+3x−5=0 Step 2: Group terms together and find GCF. (3x2−5x)+(3x−5)=0 x(3x−5)+1(3x−5)=0 (3x−5)(x+1)=0 Step 3: Apply the Zero Product Property. 3x−5=0 or x+1=0 Step 4: Solve. x= or x=
Answer:
x = (5/3)
x = -1
Step-by-step explanation:
[tex]3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}[/tex]
You would just need to solve the two equations from step three for 'x'.
Hope this helps you.
If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number.?
Answer:
5:3
Step-by-step explanation:
40% = 2/5
If the numbers are x and y, then
2/5 x = 2/3 y
Divide both sides by 2/5
x = (2/3 * 5/2)y
x = 10/6 y
x = 5/3 y
So the required ratio is 5 : 3.
Checking this result:
10% of 5 = 2
2/3 of 3 = 2 also.
Guided Practice
Which model is most appropriate for the set of points?
(–3, 6), (–1, 0), (0, –1), (1, –1.5)
A.
exponential
B.
quadratic
C.
linear
Answer:
B. quadratic
Step-by-step explanation:
Answer: The model that is most appropriate for the set is: Quadratic
Answer:
exponential
Step-by-step explanation:
Just took the test
Emily says that the lengths of the sides of her prism are 6 inches 5 inches
and 3 inches. Is Emily correct? Use words and numbers to explain why or
why not.
− 10x− 6y = 12
4x+ 7y =− 14
x=0, y=-2
tell me if u need the explanation
Evaluate:
3 - - 10-9 divided by (-1)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3 - -10 - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{= 3 - (-10) - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{= 3 + 10 - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{3 + 10}\\\\\mathsf{= \bf 13}[/tex]
[tex]\mathsf{= \bold{13} - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{\dfrac{9}{-1}}\\\\\mathsf{= 9\div-1}\\\\\mathsf{= \bf -9}[/tex]
[tex]\mathsf{= 13 - (\bf -9)}[/tex]
[tex]\mathsf{= 13 + 9}[/tex]
[tex]\mathsf{= \bf 22}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 22}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 10 hours? What is the rate of speed of the jet?
980 miles
Step-by-step explanation:
5 hours =490miles
1 hour =490/5=98miles
10hours = 98×10=980miles
If b = -1, which one is the value of b^3?
Answer:
b=-1Put the value of b in b^3[tex] \\ \sf \longmapsto \: b {}^{3} \\ \\ \sf \longmapsto \: { - 1}^{3} \\ \\ \sf \longmapsto \: 1 \times - 1 \\ \\ \sf \longmapsto \: - 1[/tex]
Hence b^3=-1
Which function has a domain of all real numbers?
Answer:
c part ....
please mark brainlest
Help!!!!!!!!!!!!!!!!
502.5 = -502.5
Now
x = -502.5
= -5025/10
= -1005/2 feet
Answered by Gauthmath must click thanks and mark brainliest
Helppppp please
What is the slope of the line shown below?
Answer:
A.
[tex]{ \tt{slope = \frac{ - 4 - 2}{ - 1 - 2} }} \\ \\ = { \tt{ \frac{ - 6}{ - 3} }} \\ = 2[/tex]
Find the measure of angle BAC.
Answer:
[tex]\angle 72=BC-86/2[/tex]
[tex]144+86=BC[/tex]
[tex]BC=230[/tex]
[tex]BC=230/2[/tex]
[tex]\angle BAC= 115[/tex]°
~OAmalOHopeO
Polygon D is a scaled copy of Polygon C using a scale factor of 6.
How many times as large is the area of Polygon D compared to the area Polygon C?
Answer:
The area of D is 36 times bigger than C
Step-by-step explanation:
The scale factor is 1:6
We know the ratio of the areas is the ratio of the scale factor squared
1^2 : 6^2
1:36
The area of D is 36 times bigger than C
1.Find the first five terms of the recursive sequence.
Answer:
4.5, - 27, 162, - 972, 5832
Step-by-step explanation:
Using the recursive rule and a₁ = 4.5 , then
a₂ = - 6a₁ = - 6 × 4.5 = - 27
a₃ = - 6a₂ = - 6 × - 27 = 162
a₄ = - 6a₃ = - 6 × 162 = - 972
a₅ = - 6a₄ = - 6 × - 972 = 5832
The first 5 terms are 4.5, - 27, 162, - 972, 5832
Express as a trinomial (2x-10)(2x+6)
Answer:
4x² - 8x - 60
Step-by-step explanation:
Given :-
(2x - 10 )(2x + 6)Simplify ,
2x ( 2x + 6) -10(2x +6) 4x² + 12x - 20x -60 4x² -8x -60Trinomial expression :-
4x² - 8x - 60The polynomial function [tex](2x-10)(2x+6)[/tex] expressed as a trinomial is [tex]4x^2 - 8x - 60[/tex].
Given data:
The polynomial function is represented as A.
Now, the value of [tex]A=(2x-10)(2x+6)[/tex].
On simplifying the equation:
From distributive property to multiply the terms:
[tex]A=2x * 2x + 2x * 6 - 10 * 2x - 10 * 6[/tex]
[tex]A=4x^2 + 12x - 20x - 60[/tex]
On simplifying the equation:
[tex]A=4x^2 - 8x - 60[/tex]
Hence, the trinomial is [tex]4x^2 - 8x - 60[/tex].
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3y^4/3y^2-6=10 please help I will.mark it as the brainliest answer!
Answer:
y=4
Step-by-step explanation:
you multiply through by 3y^2
3y^4 - 18y^2 =30y^2
Collect like terms
3y^4=48y^2
divide through by y^2
3y^2=48
divide through by 3
y^2=16
take the square root of both sides
y=4
the polygons in each pair are similar. find the scale factor of the smaller figure to the larger figure.
Answer:
Smaller factor/larger figure = 3/6 = ½
Step-by-step explanation:
Scale factor of similar figures is usually the ratio of one to the other.
In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.
Length of smaller figure = 3
Corresponding length of larger figure = 6
Scale factor = smaller figure/larger figure = 3/6
Simplify
Scale factor = ½
6.7.35
Question Help
As(t)
800-
A toy rocket is launched from the top of a building 360
feet tall at an initial velocity of 112 feet/second. The
height of the rocket t seconds after launch is given by
the equation s(t)= - 16t2 + 112t+ 360. When does the
rocket reach its greatest height? What is the greatest
height?
600-
400-
200-
0-
0 1
8 9 10
The rocket reaches its greatest height at
feet after
second(s)
Answer:
Step-by-step explanation:
This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!
The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.
If:
[tex]s(t)=-16t^2+112t+360[/tex], then the velocity function, the first derivative is:
v(t) = -32t + 112 and solve for t:
-112 = -32t so
t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.
Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:
[tex]s(3.5)=-16(3.5)^2+112(3.5)+360[/tex] and
s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.
Which of the following equations correctly represents the law of sines?
Answer:
Option c is correct
Step-by-step explanation:
From the screenshot I attached.
sinA/a=SinC/c
a/c=SinA/SinC
Thus a=cSinA/SinC
a.) Where does the turning point of the curve Y= 6- 4x - x^2 occur?
b.) Differentiate with respect to x, [tex]\frac{cos x}{sin 2x}[/tex]
Answer:
Have you gotten the answer. if yes Hmu... Aihs I sit beside you
Step-by-step explanation:
Which is enough information to prove that U|| V?
Answer:
∠4 = ∠8
Step-by-step explanation:
the lines are parallel if a pair of corresponding angles are congruent
please help me out i need this answer very fast! 20points!!!!
Graph the system of equations on graph paper to answer the question.
{y=2/5x+4
y=2x+12
What is the solution for this system of equations?
Enter your answer in the boxes.
