Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
3. Find the area of the trapezoid.
8 ft
4V3
10 ft
Answer:
[tex]32\sqrt3[/tex]
Step-by-step explanation:
We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,
[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]
(we are talking lengths of segment so we take only the positive root!)
At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.
With the trapezoid formula
[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]
With the sum of figures:
[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise
Answer:
Step-by-step explanation:
The total they want to raise is $2,400 if that is what you're asking?
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. 4+ x = 7
Answer:
x=33
Step-by-step explanation:
you move the 4 to the other side
x=7-4
so
x=3
Answer:
x=3
Step-by-step explanation:
This should be easy.
4+x=7
-4 -4
x=7-4
x=3
Word explanation:
Here, we're solving for the variable x, first, we need to isolate x and therefore subtract 4 on both sides, 7 minus 4 is 3, so x is equal to 3.
Find the number that makes the ratio equivalent to 9:1
Answer has to end with :8
A squares diagonal is 22. What is the length of each side?
Answer:
[tex]\sqrt{242}[/tex]
if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot?
Answer:
8
Step-by-step explanation:
there would be 8 cars in the parking lot
solve systems of equations 6x+2y=1 y=-3x+3 using substition??? Need answers quickly!!!!!
what is 9/blank= 4? i really don't know
Answer:
9/4
Step-by-step explanation:
Answer:
9/2.25 = 4
Step-by-step explanation:
9/x = 4
x = 9/4 or 2.25
A graph, a table and equation are shown below. Please help!
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
Help help help math math
Answer: -1 = (-3/3)
Step-by-step explanation
You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct
You buy 3.18 pounds of apples, 1.35 pounds of oranges, and 2.25 pounds of pears. What is your total bill?
Answer:
6.78
Step-by-step explanation:
Answer:
6.78 pounds
Step-by-step explanation:
Add: 3.18+1.35+2.25=6.78
(If you wanted the cost for the whole thing then you need to include the price for each of the pounds)
Which situation can be represented by the expression 5.3d?
1. the total cost of an item that is d dollars more than $5.30
2.the total cost of d items that cost $5.30 each
3.the amount of change when $5.30 is used to pay for an item costing d dollars
4.the amount of change when $5.30 is used to pay for an item costing d dollars
Answer:
tang inamo ok please tell me
Recently, your parents read in the newspaper that American factory worker jobs have the lowest income ra
What is the best explanation for this fact?
A A factory worker does not need a lot of education
B Companies are relocating factories to other parts of the world.
C Factories are always in poor areas.
D A computer can do the work a factory worker currently does
Answer:
A. A factory worker does not need a lot of education.
Step-by-step explanation:
The answer is " A " which is a factory worker does not need a lot of education. since most people don't have a PHD degree or anything higher education, it results in a lot of people joining due to the benefit of the factory worker doesn't need a lot of worker which makes it low in demand too.
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
Sally gets $8.00 each week for allowance. She wants to purchase a used bicycle that costs $24.00. She also wants to donate $8.00 to the food kitchen. Label your drawings with bike.
1. How much money will she have to save for both?
2. How many weeks will it take her to save for both?
3.How many weeks will she have to save if she wants to buy a newer used bicycle
that costs $32.00 and still make her $8.00 donation?
Answer:
1: $32. 2: 4 weeks. 3: 5 weeks
Step-by-step explanation:
1: 8+24=32$
2: 32/8=4=4 weeks
3: 32+8=$40
40/8=5=5 weeks
Need answer to the question
Answer:
B) Symmetric property of congruenceStep-by-step explanation:
The angles 1 and 2 are marked as congruent
If a ≅ b, then b ≅ a, this is called the symmetric property of congruence:
The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first.Correct choice is B
Answer:
Symmetric property of similarity
Step-by-step explanation:
If a=a then that's reflexive propertyIf a=b and b=c then a=c, transitive propertyUse the coordinates of the labeled point to find the point-slope equation of
the line.
5
-5
-st
(2,-5)
O A. y + 5 = -4(x - 2)
B. y-2- 4(x-5)
C. y - 2 = -4(x + 5)
D. y + 5 = 4(x - 2)
The point-slope equation of the line as described by the points is; y + 5 = -4(x - 2).
What is the point-slope equation of the line?The equation of the line given in the task content in the point-slope form can be determined as follows;
Slope = (-5-3)/(2-0) = -8/2 = -4.
Hence, it follows that point-slope form of the equation of the line is; Choice A; A. y + 5 = -4(x - 2).
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You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units
Let the height be x
[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]
[tex]\\ \sf\longmapsto 12x=22(8)[/tex]
[tex]\\ \sf\longmapsto 12x=176[/tex]
[tex]\\ \sf\longmapsto x=14.7units[/tex]
Step-by-step explanation:
X :8/12 = 22/x
x • 12 = 22 • 8
12x = 176
x = 14.7units (C.)
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]
I want a way to solve such a problem
Answer:
11.2
Step-by-step explanation:
Helpppppppp me …………………..
Answer:
first let's solve for x
x + (x + 30) + 2x = 180
4x + 30 = 180
-30 -30
4x = 150
/4 /4
x = 37.5
Now solve for the angle measures:
(x + 30) = (37.5 + 30) = 67.5
2x = 2(37.5) = 75
x = 37.5
Answer:
X= 37.5
Step-by-step explanation:
someone help please i don’t want to fail math
Answer:
Image below!
Step-by-step explanation:
Plotting [tex]\underline{y=2x+3}[/tex]
Step 1: determine the y-intercept
[tex](0,3)[/tex]
plot the point as the first point on the graphStep 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)
Step 3: Go to the other side of the graph of the first point (y-intercept)
move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)When you've completed this process, it should look like this:
Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°
The measure of the exterior angle at vertex D is: D. 54°
Recall:
The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.Thus:
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
Therefore:
(8x−2)º = (3x−8)° + (4x+13)°
Solve for x8x - 2 = 3x - 8 + 4x + 13
Combine like terms8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
Plug in the value of x= 8(7) - 2
= 54º (option D)
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Help help math math math
Answer:
-3/7,0
Step-by-step explanation:
The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect
Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
The planes ABFE and EFGH intersected by line EF.
What is Prism?A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
Learn more about Prism here:
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Write the word sentence as an equation. Then solve.
The difference of a number n and 3 is -7.
Answer:
n-3 = -7
n = -4
Step-by-step explanation:
(Meeting character limit)
Answer:
-4
Step-by-step explanation:
n - 3 = -7, n = -4
A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD
Answer:
$10.06
Step-by-step explanation:
Tax rate = 6% , convert into 0.06
10 × 0.06 = 0.6
10 + 0.6 = 10.06
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answer:
I think I've answered this question already.
Step-by-step explanation:
Please help me!!!!!!!!!
Answer:
y=25x+1150
Step-by-step explanation:
1425-1275=150
150/6=25 so 25 dollars per month
1275-5(25)
1275-125=1150
y=25x+1150
Which property explains why these two expressions are equal? 7 + q + 4 = 4 + 7 + q