The amount of money Caleb would have in his account after the inital investment is $1,842.30.
What is the future value of the investment?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$1400 x (1.04)^7 = $1,842.30
To learn more about future value, please check: https://brainly.com/question/18760477
Now select point C and move it around. Do you observe any change in the relationship between the three angles?
Answer:
No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD
Step-by-step explanation:
Answer:
No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
What is the domain of the function shown in the mapping?
{x|x= -5, -3,1,2,6)
fuly = -9,-6,0,2,4}
fx|x = -9, -6, -5, -3,0,1,2,4,6}
tyly = -9, -6, -5, -3,0,1,2,4,6}
Mark this and return
Save and Exit
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Submit
*see attachment for the diagrambifbthe mapping
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.
From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.
These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}
Samantha Ran 10x-9 Miles and Sam ran 9x-10 miles WHATS the difference
Answer:
10x-9-(9x-10)
=10x-9-9x+10
=10x-9x+10-9
=x+1
Answer:x+1
Step-by-step explanation:
120 as a product of primes
Answer: 2 x 2 x 2 x 3 x 5
Step-by-step explanation:
Hope this helps. Those are all primes that equal 120.
675 x 78 : 567 =
can you stop deleting my question.
Answer:
675 x 78/567
First let's find the product of the numerator;
(675 x 78) = 52,650
Now we divide by 567:
52,650/567 = 92.85, which is around 92.90
can someone do this sheet or me? thx!
Plz help me complete this table
Solve the equation
3/2 - 6x) + 1 = 3 – 5x.
Answer:
x = - 1/2
Step-by-step explanation:
(3/2 - 6x) + 1 = 3 - 5x
-6x + 5/2 = 3 - 5x
5/2 = 3 - 5x + 6x
5/2 = 3 + x
5/2 - 3 = x
-1/2 = x
x = -1/2
Please mark me the brainliest!?!
[tex] \frac{3}{2} - 6x +1 = 3 - 5x \\ [/tex]
Plus sides 6x
[tex] \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ [/tex]
[tex] \frac{3}{2} + 1 = 3 + x \\ [/tex]
Subtract sides -3
[tex] \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ [/tex]
[tex] \frac{3}{2} - 2 = x \\ [/tex]
[tex] \frac{3}{2} - \frac{4}{2} = x \\ [/tex]
[tex]x = - \frac{1}{2} \\ [/tex]
Done.....♥️♥️♥️♥️♥️
Write the expanded form of the expression
y(0.25 +6)
Answer:
0.25y + 6y
Step-by-step explanation:
multiple everything in the brackets by y
Owen is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
Answer:
60
Step-by-step explanation:
Multiply the days by the die (20) and multiply that by the sections (60)
Find the length of the base of the triangle given the area of 217 ft and the hight of 24 ft
Answer:
18.0833 ft
Step-by-step explanation:
[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height
[tex]217=\frac{24h}{2}[/tex]
[tex]434=24h[/tex]
[tex]h=18.0833[/tex]
Last summer, 80 students signed up for a summer trip to Washington, D.C. This summer, 94 students signed up. To the nearest percent, what is the percent change in the number of students who signed up for the trip?v
Answer:
94-80=14/80×100=35÷2=17.5
Need help please!!! Worth 15 points
HELP ASAP PLEASE WILL MAKE BRAINLEST (show work if possible)
Answer:65
Step-by-step explanation: sorry if its wrong
-4 (w+1) = -24
What does w equal?
Answer:5
Step-by-step explanation:
24/4=6
6-1=5
Answer:
w = 5
Step-by-step explanation:
-4 (w+1) = -24
-4w -4 = -24 | +4
-4w = -20 | :(-4)
w = 5
Find the value of angle marked x
Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.
Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees
Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.
Now using the knowledge gained lets set up the equation
[tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]
Therefore x is 116 degrees.
Hope that helps!
I don’t know what to do with
Answer:
above is the solution to the question
Answer:
the answer will be 5.3. area is 0ne over two base times height
a piece of cloth was 30 feet long. how long is this cloth in yards? one yard = 3 feet
Answer:
10 yards
Step-by-step explanation:
Every 1 yard is 3 feet, the cloth is 30 feet
30 ÷ 3 = 10
The cloth is 10 yards.
Hope this helps!
A rectangular prism has a length of 10 in., a width of 2 in., and a height of 312 in. the prism is filled with cubes that have edge lengths of 12 in. how many cubes are needed to fill the rectangular prism? enter your answer in the box. to fill the rectangular prism, cubes are needed.
Step-by-step explanation:
that is a strange question. you will see in a moment why.
I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.
we can do that quickly:
large volume = 10×2×312 = 6240 in³
small (cube) volume = 12×12×12 = 1728 in³
so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.
now why did I phrase this so strangely ?
because the prism not only has volume but also a shape.
it is a narrow but high container with the small dimensions being 10 in and 2 in.
the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.
not a single one cube would fit into the prism.
so, the realistic answer is : 0 cubes.
if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :
312/12 = 26 cubes.
so, we could stack 26 cubes inside the height of the prism.
so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.
possibly in the dimensions of either the prism or the cubes.
for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).
then the small (cube) volume is : 2×2×2 = 8 in³
and they will fit into the prism also shape wise.
6240/8 = 780 cubes
so, we would need 780 cubes of that size to fill the prism.
or, as another example, the cubes have a side length of 1/2 in.
then the small (cube) volume = 1/2³ = 1/8 in³
6240/(1/8) = 6240 × 8 = 49,920 cubes
in that case we would need 49,920 cubes to fill the prism.
Identify the value of y.
(5y-6) = (2y×9)-32
I need help
Answer:
y=2
Step-by-step explanation:
5y-6=(2y*9)-32
5y-6=18y-32
32-6=18y-5y
26=13y
26/13=13y/13
2=y
y=2 [Answer]
Please rate and mark me the brainiest!!
Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
[tex]\fbox{5y+−6=18y+−32}[/tex]
[tex]\fbox{5y−6=18y−32}[/tex]
Step 2: Subtract 18y from both sides.
[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]
[tex]\fbox{−13y−6=−32}[/tex]
Step 3: Add 6 to both sides.
[tex]\fbox{−13y−6+6=−32+6}[/tex]
[tex]\fbox{−13y=−26}[/tex]
Step 4: Divide both sides by -13.
[tex]\fbox{−13y/−13 = −26/−13}[/tex]
[tex]\fbox{y=2}[/tex]
Answer:
[tex]\fbox{y=\fbox{2}}[/tex]
What is the value of c?
Answer:
c=9
Step-by-step explanation:
it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.
In this square, all the angles are equal. What is the measure of angle x°?
720°
180°
90°
360°
Answer:
90degrees
Step-by-step explanation:
I'm pretty sure, terribly sorry if I'm wrong
~Animaljamissofab ♥
nice green square lol
90° is the measure of angle x°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, given that,
the figure is a square,
so, all its angle = 90 degrees
Now, the x = (180-90)=90
Hence, 90° is the measure of angle x°.
To learn more on angle click:
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#SPJ2
plz help me with this
Answer: 2/5
Step-by-step explanation: 2/5 because it is less than 1 so it shrinks.
A taxicab service charges customers by the mile. The graph
shows the number of miles a taxicab drives and the amount of
money the customer pays.
Which statement best describes the rate of change for the
situation?
The amount a customer pays increases $0.50 per
mile driven
The amount a customer pays increases $0.60 per
mile driven
The amount a customer pays increases $12 per mile
driven.
The amount a customer pays increases $21 per mile
driven
Answer:
The second option: The amount a customer pays increases $0.60 per mile driven.
Step-by-step explanation:
As seen on the graph, we are given the points (20,12) and (35,21).
This means that at 20mi driven, the amount paid is $12, and at 35mi driven, the amount is $21.
To find the rate of change we divide the distance driven by the cost to find the cost per mile:
20/12 = 0.6
35/21 = 0.6
The slope is 0.6, so it costs an extra $0.6 for every mi driven. Therefore it is the second option: The amount a customer pays increases $0.60 per mile driven.
Hope this helped!
Answer:
The amount a customer pays increases $0.60 per mile driven.
Step-by-step explanation:
$0.6/mi is the rate of change, y = mx + b, so m.is also called rate of change & b is the initial value of x, in the graph b = 0. making m the subject of the equation, then m(roc) = 0.6.
Okay I need help:
F(x)=x^2-5 find f(3)
f(x) = x^2 -5
Find f(3)
This means find x when it is 3 so just substitute 3 for x
f(3) = 3^2 -5
= 9 - 5
f(3) = 4
Answer:
f(3)=4
Step-by-step explanation:
f(x)=x^2-5
f(3)=3^2-5
f(3)=3*3-5
f(3)=9-5
f(3)=4
How can x-2/3=5/6 be solved for x in one step
Answer:
12
Step-by-step explanation:
a square has a diagonal length of 5. find the side length of the square. express your answer in simplified radical form.
Answer:
Step-by-step explanation:
What is the slope intercept form of 2x+2y=10 (y=mx+b no extra words or comments)
Answer:
[tex]y=-x+5[/tex]
Step-by-step explanation:
[tex]2x+2y=10\\2y=10-2x\\y=-2/2x+10/2\\y=-x+5[/tex]
find the value of the expression |x|/x id x=-8,-5,1,7,128 write the expression without the absolute value symbol for these values of x x>0
Using the definition of the absolute value function, it is found that:
The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.What is the absolute value function?It measures the distance of a point x to the origin, and is defined by:
[tex]|x| = -x, x < 0[/tex]
[tex]|x| = x, x \geq 0[/tex]
As for the expression used in this problem:
[tex]\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0[/tex]
[tex]\frac{|x|}{x} = \frac{x}{x} = 1, x > 0[/tex]
Hence:
The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.More can be learned about the absolute value function at https://brainly.com/question/24734454
Answer:
just to be clear the answers are here:
Step-by-step explanation:
If x=1, then |x|/x= 1
If x=7, then |x|/x=1
If x=128, then |x|/x=1
If x>0, then |x|/x=1
If x=-8, then |x|/x=-1
If x=-5, then |x|/x=-1
If x<0, then |x|/x=-1
I hope u have a nice day :)
12 points!! plz help
Answer:
The answer would be C im positive
Step-by-step explanation: