Rhombus or square.
Hope it helps!
A new car is purchased for 19900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car br, to the nearest cent, after 8 years?
Answer:
10,665.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
A= starting value = 19900
r=rate = 7.5%=0.075
Exponential Decay:
b=1-r=1-0.075=0.925
Write Exponential Function:
y=19900(0.925)^x
Plug in time for x:
y=19900(0.925)^8
y= 10665.6404317
Evaluate
y≈10665.64
It takes 1/8 of a roll of wrapping paper to completely cover all 6 sides of a small box that is shaped like a rectangular prism. The box has a volume of 10 cubic inches. Suppose the dimensions of the box are tripled. How many rolls of wrapping paper will it take to cover all 6 sides of the new box? What is the volume of the new box?
a. The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
b. The volume of the new rectangular box is 270 in³
Area of rectangular prism
Since the small box is a rectangular prism, its surface area, A = 2(lb + lh + bh) where
l = length, b = width and h = height.Now, when the dimensions are tripled, its new area is A' = 2(LB + LH + BH) where
L = 3l, B = 3b and H = 3h.So, A' = 2(LB + LH + BH)
= 2((3l)(3b) + (3l)(3h) + (3b)(3h))
= 2(3)(3)(lb + lh + bh)
= 18A
a. Number of rolls of wrapping paperThe number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
Now, since we require 1/8 of a roll of wrapping paper to initially cover all 6 sides of the small box with dimensions, l,b and h. Then the number of rolls we require to cover the box when its dimensions are tripled are (since the area is proportional to the number of rolls)
N = 18 × 1/8
= 18/8
= 9/4
= 2¹/₄ rolls
The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
b. Volume of the new rectangular box
The volume of the new rectangular box is 270 in³
The volume of the rectangular box V = lbh where
l = length, b = width and h = heightWhen the dimensions are tripled, V' = LBH where
L = 3l, B = 3b and H = 3h.So, V' = LBH
= (3l)(3b)(3h)
= 27lbh
= 27V
Now since the initial volume of the rectangular box, V = 10 in³
V' = 27V
V' = 27 × 10 in³
V' = 270 in³
So, the volume of the new rectangular box is 270 in³
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00 which statement best describes the
solutions to the scenario above?
A) Potrick con eat out only 1 time per week.
B Potick can eat out e'ther 1 or 2 times per week.
© Patrick con eat out 1, 2 or 3 times per week.
D) Potrick con cot Out 1, 2, 3, or times per week.
a 20/20 The Marn Cafe
Answer: D) Potrick con cot Out 1, 2, 3, or times per week.
(hope this helps!)
Find the measure of ∠YOZ. Which angle relationship did you use?
Answer:
Step-by-step explanation:
The measure of angle ∠WOV is 60 degrees and The measure of angle ∠YOZ is also 60 degrees.
What is an angle?
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
∠WOX = 30
It can be seen that the ∠XOY and ∠VOX are equal and 90 degrees.
The measure of angle ∠WOV will be
∠WOV + ∠WOX = 90
∠WOV + 30 = 90
∠WOV = 60
The measure of angle ∠YOZ will be
∠WOX + ∠XOY + ∠YOZ = 180 (Supplementary angle)
30 + 90 + ∠YOZ = 180
∠YOZ = 60
Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning
Step-by-step explanation:
1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;
3) using the two equations it is possible to make up the system:
[tex]\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.[/tex]
4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.
5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.
Guys this is legit due tonight please answer!!!!
Answer: do this
1/3+-x/4=7/12
Step-by-step explanation:
4.1/3/4+-x/4=7/12
The amount of money Patricia makes in a day is directly proportional to the number of hours she works. This relationship is modeled in the graph below. If Sheryl works 5 hours a day, she makes approximately:
$60
$70
$55
$65
Can someone please answer!
Answer:
answer is $65
Step-by-step explanation:
hope it helps
evaluate each expression (-1) • (-2) • (-3)
Answer:
-6
Step-by-step explanation:
(-1) * (-2) * (-3)
= (2) * (-3)
= -6
Factorize the expression
5ax + 25ay
Answer:
5a ( x + 5y )
Step-by-step explanation:
→Find a common factor of 5 and 25
5
→ Now factorise
5a ( x + 5y )
The value of the equation is A = 5a ( x + 5y )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5ax + 25ay be equation (1)
On simplifying the equation , we get
On factorizing the equation by taking the common factor as 5a , we get
A = 5a ( x + 5y )
Therefore , the value of A is 5a ( x + 5y )
Hence , the equation is A = 5a ( x + 5y )
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Solve the following system of equations.
Answer:
x= 0, y= -15
Step-by-step explanation:
Start by labelling the 2 given equations.
y= -2x -15 -----(1)
y= -15 +3x
y= 3x -15 -----(2)
Substitute (1) into (2):
-2x -15= 3x -15
3x +2x= -15 +15
5x= 0
Divide both sides by 5;
x= 0
Substitute x= 0 into (2):
y= 3(0) -15
y= -15
Answer:
Let eqn 1 be y = -2x -15
and Eqn2 be y-3x =-15
Substitute Eqn 1 into Eqn 2
where -2x-15-3x = -15
-5x = 0
X is 0
from Eqn1 the value of y Will be
-2(0) - 15
Value of y is -15
Therefore (X,y) = (0, -15)
Julio spent $52.43 on batteries. If they cost $7.49/pack, what equation would depict the
scenario?
A) 7.49p = 52.43
B) p/7.49 = 52.43
C) 52.43p = 7.49
D) p/52.43 = 7.49
NEED THE ANSWER ASAP
Whats 30.4/15 as a mixed number?
Answer:
19.3 + n = 30.4
Step-by-step explanation:
hope this helps :)
Answer:
30.4/15 = 2 2/75
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 30.4 by 15 and keep only what is to the left of the decimal point:
30.4 / 15 = 2.026666667 = 2
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
30.4- (15 x 2) = 0.4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 30.4/15 as a mixed number is:
2 0.4/15 = 2 2/75
Simply into the answer(need it fast please)
Answer:
The answer is B) 8-⁶, hope that helped!
Answer:
The answer is C. 8^6
help me pleaseeeeeeeeee
Answer:
x=25
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of x. We know that the Pythagorean Theorem says that a²+b²=c². We can substitute the values 20, 15, and x into the equation.
20²+15²=x²
Simplify.
400+225=x²
Add.
625=x²
Find the square root of both sides to solve the equation.
√625=√x²
25=x
Note:
To make the symbol ², hold the alt button on your keyboard and press 0178 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). It MUST be on the numberpad to work! To make the symbol √, hold the alt button on your keyboard and press 251 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). Again, it MUST be on the numberpad to work!
Another note:
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judy is twice as old as adaml, but 6 years ago she was 5 times as old as he was. How old is judy now
Answer:
16
Step-by-step explanation:
Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...
(J -6) = 5(J/2 -6)
J -6 = 2.5J -30
24 = 1.5J
16 = J
Judy is now 16 years old.
__
Additional comment
Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.
Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...
2(a+6) = 5a +6
6 = 3a . . . . . . . . . simplify, subtract 2a+6
2 = a ⇒ 5a+6 = 16
m8<4 graph the solution
Answer:
m<32
Step-by-step explanation:
Nicole made 36 out of 48 shots she attempted at basketball practice. What
percent of the shots did she miss?
Answer:
75%
Step-by-step explanation:
Put the number of shots she made as to the numerator and the shots there were as the denominator: 36/48
We must reduce this fraction to the lowest terms.
36/48 ÷ 12/12 = 3/4
3/4 as a percent is the same as 75/100 or 75%
Answer: 75%
Answer:
She had missed 75%
Step-by-step explanation:
36/48 shots is equal to 75/100
which equals 75%
The scale factor of square W XYZ to square ABCD is 2:3. The perimeter of square ABCD is 36 ft.
What is the perimeter of square W XYZ?
Answer: 24 ft
Step-by-step explanation:
Convert 4 1/7 into an into an improper fraction.
Here is your Answer:-
4 = whole number 1 = numerator 7 = denominator To convert mixed number 4 1/7 to improper fraction, you follow these steps: Multiply the whole number by the denominator 4 × 7 = 28.
The improper fraction of the mixed number 4 1/7 is given by A = 29/7
What are Mixed Numbers?A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
Let the mixed number be represented as A
Now , the value of A is
A = 4 1/7 be equation (1)
On simplifying the equation , we get
To convert the mixed number to improper fraction ,
A = [ ( 4 x 7 ) + 1 ] / 7
On further simplification , we get
A = [ 28 + 1 ] / 7
A = 29 / 7
Hence , the improper fraction is 29/7
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Say that Romania puts a tariff of 6% on its exports and 21% on its imports. If Romania has a trade deficit of (equivalent US dollars) $26. 76 billion and gained tariff revenue of $18. 9603 billion, how much are Romania’s imports worth? a. $62. 56 billion b. $64. 29 billion c. $76. 17 billion d. $97. 04 billion.
Answer:
c. $76.17 billion
Step-by-step explanation:
The relations between imports, exports, and tariffs can be described by ...
0.06E +0.21I = $18.9603 . . . . . . total tariff revenue
I -E = 26.76 . . . . . . . . . . . . . . . . trade deficit
Solving the second equation for E gives ...
E = I -26.76
Substituting into the first equation yields ...
0.06(I -26.76) +0.21I = 18.9603
0.27I = 18.9603 +1.6056 = 20.5659 . . . . add 1.6056 to both sides
I = 10.5659/0.27 = 76.17
Romania's imports are worth about $76.17 billion.
_____
Additional comment
The exports are worth about $76.17 -26.76 = $49.41 billion.
what is the answer for 6x+4
Answer:
what is the answer for 6x+4
ANSWER : 2(3x+2)
Answer:
Hi I'm always here to help!!!
_______________________
FACTOR
2(3x+2)
_______________________
Have A Great Day!!
please fast urgent .
Answer:
31. 122
32. 2400 cans
Step-by-step explanation:
31.
fig 1=1
fig 2=10
fig 3=26
fig 4=50
fig 5=82
fig 6=122
32. 520/13=40
40(60)=2400
james has downloaded 15 songs on his cellphone. how many diffrent ways can he play 5 songs
devide 15 by 5 it will be 3
fint the y derivative of y²=tan(xy)
Answer:
x*sec^2*(xy)
Step-by-step explanation:
isolate y and you get x*sec^2*(xy)
A bear is applying force on a tree by rubbing its back on it. The strength of the force is 25 Newtons, and the direction is 35 degrees to the east from the northward direction relative to the tree.
The force of 25 Newtons and direction of 35 degrees to the east from
the northward direction can be represented by vectors [tex]\underline{\vec{a} \ and \ \vec c}[/tex].
How can the correct vectors be found?
The given parameters are;
The force applied by the bear = 25 Newtons
The direction the bear pulls the tree = 35°
Required:
The vectors that can represent the force the bear applies to the tree.
Solution:
The vector can be represented by a straight line with an arrow that
points at an angle of 35° relative to the north.
Therefore;
The vectors that can represent the force are;
Vectors [tex]\vec{a}[/tex] and vector [tex]\vec {c}[/tex]Learn mote about vectors here:
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Answer:
vectors a and c
Step-by-step explanation:
khan academy
A line is drawn on a coordinate grid by the equation y = 1. Which of the following lines would represent a row perpendicular to it?
A. a line containing the point (5,2)
B. y = 1
C. x = 4
D. y = 3
Answer:
C
Step-by-step explanation:
In the Cartesian coordinate system, a line perpendicular to the line that's across the Y axis is a row across the X axis. You see Y=1 is the line across Y axis, so we need a row that's across the X axis. So C. X=4 is the ideal choice.
If a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
A line is drawn on a coordinate grid by the equation y = 1.
The equation y = 1 represents a horizontal line on the coordinate grid, passing through all the points where y-coordinate is 1.
A line that is perpendicular to a horizontal line is a vertical line.
The vertical line x = 4 passes through all the points where x-coordinate is 4, and is perpendicular to the horizontal line y = 1.
Hence, if a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.
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pleasseee hellpp I'm confused
Answer:
the answer is c
pls mark brainliest
Answer:
the picture is not clear
Members of a lacrosse team raised $1670.50 to go to a tournament. They rented a bus
for $1013.50 and budgeted $54.75 per player for meals. Determine the number of
players the team can bring to the tournament.
Answer:
12 players
Step-by-step explanation:
1670.5-1013.5 = 657
657/54.75 = 12
so 12 players
Two or more expressions with an Equal sign is called as Equation. 12 players the team can bring to the tournament.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Members of a lacrosse team raised $1670.50 to go to a tournament.
The rent of the bus is $1013.50.
Now we need to find the left out fund after removing the rent of bus.
so one thousand six hundred and seventy point five minus one thousand and thirteen point five equal to six hundred and fifty seven.
1670.5-1013.5 = $657
The budget for each meal of player is $54.75.
Divide $657 by $54.75. to get the number of players.
657/54.75 = 12.
Hence 12 players the team can bring to the tournament.
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Translate the phrase into an algebraic expression: k dollars per 28 bottles.
Answer:
this means each bottle will cost 28 dollars so
28k also 28*k
Hope This Helps!!!
The expression in the mathematical form will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Translate the phrase into an algebraic expression: k dollars per 28 bottles.
Then the division of the numbers k and 28 will be given by putting a division sign between them. Then we have
⇒ k ÷ 28
⇒ k / 28
The expression in the mathematical form will be 17 / 3.
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i need help please i cant afford to fail again
Answer:
k = 105
Step-by-step explanation:
3k-8 = k +202
3k - k = 202+8
2k = 210
k = 210/2
k=105