Answer:
a) $3000
b) $1500
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
b)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 2
interest = 1500
you save $1500 if you pay after 2 years
Select True or False. (1 point) The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answer:
yes
Step-by-step explanation:
because of the way this is put the result simplified would be 3x-8x-20
3-8=-5
so the answer is 20-5x
x=0.25 btw
Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party cost? Solve using unit rates.
Answer:
If there are 13 guests, it would cost Norma $26
Step-by-step explanation:
Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.
Answer:
It'll cost $26 !
Step-by-step explanation:
if you set it up like this;
[tex]\frac{13}{x}= \frac{12}{24}[/tex]
you can see a few ways of solving this !
one way is cross multiplication .
13 x 24 = 312
312 / 12 = 26
A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}
Which one is a function?
And which is is not Non-function?
PLZ ANSWER PLZ 15 POINTS JUST PLZ
if y(x)=4x what is x when y(x)=4?
Answer:
1
Step-by-step explanation:
y(x)=4x
y(x)=4
<=>4x=4
<=>x=1
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
31 = - (1 +6p ) +4(p + 6 )
Answer:
p = -4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
p = -4
Step-by-step explanation:
I'm not going to explain each step, just try to follow along.
31 = -(1+6p)+4(p+6)
31 = -1-6p+4p+24
7 = -1-2p
8 = -2p
p = -4
I hope this helps!
How many solutions does the equation
10-3x+10x-7=5x-5+2x+8 have?
Is 11 a solution to 3(x+6)=4x ?
Answer:
The number 11 is not a solution for the given equation.
Step-by-step explanation:
We are given an equation with one variable. We can use simplifying processes to solve the equation.
[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]
We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.
[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]
Therefore, 11 is not a solution for the given equation.
Answer:
First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]
[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]
[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]
[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]
[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]
Let's put x as 11:[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]
[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]
[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]
51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
Learn more about the solution to the equation here:
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The Quotient of 5 times a number and 7 is no more than 10.
A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.
What is the m for this slope?
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]What value of x makes this equation true?
-6x + 3 = 45
Answer:
Subtract 3
-6x = 42
Divide by -6
x = -7
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image
Answer:
M(-1,7), N(3,6), O(1,1)
Step-by-step explanation:
The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).
We have to translate 2 units left and 4 units up.
The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)
Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).
Learn more about the geometric transformation here:
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Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2
Answer:
y=2
Step-by-step explanation:
that is it!!! I hope I'm correct..
Answer:
21
Step-by-step explanation:
Given
3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression
= 3(2) + 5(11 - 8) ← evaluate parenthesis
= 6 + 5 × 3
= 6 + 15
= 21
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
Please help I have no idea what the answer is
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)
Answer:
Adam's container
Step-by-step explanation:
Adam's: 8.75/ 3.5 = 2.5
Marco's: 9.75/ 3.75 = 2.6
= 2.5
PLEASE HELP PLEASE HELP
Answer:
Step-by-step explanation:
2x^3+x^2-8x-4
(2x+1)(x+2)(x-2)
Can y’all help give me the answer
HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61
Answer:
Step-by-step explanation: not sure why there is two x values can you explain more
A spaghetti dinner cost $12 and a slice of cake cost $3. Write an expression, using distributive property to find the total cost for a family of 5. Then solve your expression, showing your work, to find the total cost.
Answer:
5 (12+3)
75
Step-by-step explanation:
so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3
So its 60 + 15 which is 75. Hope this helps!
Helpppp me plz thanks
Answer:
It’s 55
Step-by-step explanation:
180- 125=55
Answer:
This is a same side interior angle. I just learned this in class so don't blame me if your wrong, ur taking advice from a 4th grader dude.
Answer is: x
read the explanation lol
Step-by-step explanation:
So we know angle 3 and 4 is=180
7 and 8 =180
but 4 and 7 ALSO add up to 180, I think you can do this now. It's mental math.
Hint: 125+x=180
Find the value of x
Answer:
50?
Step-by-step explanation:
Answer:
x= 106
Step-by-step explanation:
The angle opposite 32 is also 32. Considering 44, the missing angle in that triangle would be 104. The angle to the left of 104 would be 76, and if you consider that angle 30 you are left with the measure of 74. X is the angle next to 74, so it makes sense for it to measure 106 because the values must add to 180, and even if it's not drawn to scale 106 looks accurate
A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?
Answer:
.51
Step-by-step explanation:
P(F)=.55, P(S)= .4
P(F ∩ not S)= .55×.6=.33
P(S ∩ not F)= .4×.45=.18
.33+.18=.51
Answer:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
Step-by-step explanation:
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain [tex]p_1=0.55\\[/tex]
From the second mountain [tex]p_2=0.4[/tex]
As the decision is made independently
So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]
P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]
Similarly, the value of
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]
Hence , [tex]P=0.33+0.18[/tex]
[tex]P=0.51[/tex]
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
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PLEASE HELP!!! SHOW WORK PLEASE!! LAST QUESTION!!!!! PLEASE
Answer:
133
Step-by-step explanation:
its an obtuse angle
What is the answer???
Answer:
3, 11, and 14
Step-by-step explanation:
One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference
one side of this triangle is 4 and the other is 7 so if we call the third side length x
7-3 < x < 7+3 ➡ 4 < x < 11
Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2
Answer:
45 * x = 49
x = 49 / 45 = 1.0888888888888...
Step-by-step explanation:
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5