Answer:
D
Step-by-step explanation:
Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a rate of 18% per year.
Answer:
[tex]A=45000(0.82)^t[/tex]
Step-by-step explanation:
Given data
P= 45,000
rate= 18%
Recall the expression for the compound interest
[tex]A=P(1+r)^t[/tex]
Since we are talking of depreciation
[tex]A=P(1-r)^t[/tex]
Substitute
[tex]A=45000(1-0.18)^t\\\\A=45000(0.82)^t[/tex]
Hence the exponential function is
[tex]A=45000(0.82)^t[/tex]
Gretchen made a paper cone to hold a gift for a friend. The paper cone was
16 inches high and had a radius of 4 inches. Find the volume of the paper
cone to the nearest tenth. Use 3.14 for pi .
Answer: 803.84 --> 803.8
Step-by-step explanation:
4^4=16x3.14=50.24*16=803.84
Sameer's father is two years more than three times Sameer's age. Write Sameer father's age if Sameer is x years old at present
Answer:
3x+2
Step-by-step explanation:
Let Sameer age be x years old at present
Three times Sameer's age = 3 * x = 3x
Two years more than three times Sameer's age = 3x + 2
If Sameer's father is two years more than three times Sameer's age, the the age of Sameer's father at present will be (3x+2) years
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable. Here also we would be doing same.!!
Here we have been provided with a condition that the Sameer's father is two years more than three times Sameer's age.
But we won't be assuming the age of Sameer as any other variable other than x. (Because it's given in the question)
★ Therefore according to the question,
[tex]\implies \: \underline{\boxed{ \sf{Age \: of \: Sameer's \: father \: = \: 3 (Age \: of \: Sameer) \: + \: 2}}} \: \red\bigstar[/tex]
Substituting the age of Sameer as x.
[tex] \longrightarrow \: \sf{Age \: of \: Sameer's \: father \: = \: 3 (x) \: + \: 2} \: \\ \\ \longrightarrow \: \sf{Age \: of \: Sameer's \: father \: = \: 3 \times (x) \: + \: 2} \\ \\ \longrightarrow \: \red{\sf{Age \: of \: Sameer's \: father \: = \: 3x \: + \: 2}}[/tex]
Henceforth,
Age of Sameer's father is (3x + 2)The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.
Bananas
Number of pounds Total cost (dollars)
333 1.471.471, point, 47
555 2.452.452, point, 45
999 4.414.414, point, 41
? ?
A row of values is missing in the table.
Which numbers of pounds of bananas and total costs of the bananas could be used as the missing values in the table?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
Pounds of bananas: 222
Total cost: \$0.98$0.98dollar sign, 0, point, 98
(Choice B)
B
Pounds of bananas: 777
Total cost: \$4.45$4.45dollar sign, 4, point, 45
(Choice C)
C
Pounds of bananas: 666
Total cost: \$2.94$2.94dollar sign, 2, point, 94
(Choice D)
D
Pounds of bananas: 111
Total cost: \$0.54$0.54dollar sign, 0, point, 54
(Choice E)
E
Pounds of bananas: 888
Total cost: \$3.92$3.92
Answer:
Choice A, C and E
Step-by-step explanation:
Your table is poorly presented
Given
x y
[tex]\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}[/tex]
First, we calculate the constant of proportionality (k)
[tex]k = \frac{y}{x}[/tex]
For (3,1.47)
[tex]k = \frac{1.47}{3}[/tex]
[tex]k = 0.49[/tex]
For (5,2.45)
[tex]k = \frac{2.45}{5}[/tex]
[tex]k = 0.49[/tex]
For (9,4.41)
[tex]k = \frac{4.41}{9}[/tex]
[tex]k = 0.49[/tex]
From the above calculations, the constant of proportionality is 0.49.
So, the usable rows must also have 0.49 as their constant of proportionality
Choice A
[tex](x,y) = (2,0.98)[/tex]
[tex]k = \frac{0.98}{2}[/tex]
[tex]k = 0.49[/tex] --- This is usable
Choice B
[tex](x,y) = (7,4.45)[/tex]
[tex]k = \frac{4.45}{7}[/tex]
[tex]k = 0.64[/tex] --- This is not usable
Choice C
[tex](x,y) = (6,2.94)[/tex]
[tex]k = \frac{2.94}{6}[/tex]
[tex]k = 0.49[/tex] --- This is usable
Choice D
[tex](x,y) = (1,0.54)[/tex]
[tex]k = \frac{0.54}{1}[/tex]
[tex]k = 0.54[/tex] ---- This is not usable
Choice E
[tex](x,y) = (8,3.92)[/tex]
[tex]k = \frac{3.92}{8}[/tex]
[tex]k = 0.49[/tex] --- This is usable
Answer:
A, C, and E
Step-by-step explanation:
khan said it was correct
trust me
Congruent figures are figures where...(choose all that apply)
1. can be any size but must have equal angle measures.
2. are always triangles
3. all corresponding sides have the same length.
4. all corresponding angles are the same measure.
Can you please help me answer this picture
Bonnie deposited $1000 in an investment account on the first of January in 2001. The account pays 7.2% interest compounded annually. How much is the investment worth at the end of 2005? please help, having a mental break down over my math homework <3
Answer:
About $1415.71
Step-by-step explanation:
We can use the formula for compound interest, given by:
[tex]\displaystyle A=P(1+\frac{r}{n})^{nt}[/tex]
Where P is the initial amount, r is the rate, n is the number of times compounded annually, and t is the time in years.
Our initial amount is the $1000 Bonnie deposited. So, P = 1000.
Our rate is the interest, which is 7.2% of 0.072. So, r = 0.072.
Since it is compounded annually, our n = 1. So, we have:
[tex]A=1000(1+0.072)^t[/tex]
We want the amount after 5 years. So, t = 5. Substitute and evaluate:
[tex]A=1000(1.072)^5\approx\$1415.71[/tex]
The investment will be worth about $1415.71 after 5 years.
Answestream wonder
Step-by-step explanation:
k 9
The rectangular floor of a classroom is 30 feet in length and 38 feet in width. A scale drawing of the floor has a length of 15 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Length of the rectangular floor of a classroom = 30 feet
Width of the rectangular floor of a classroom = 38 feet
Length of the floor in a scale drawing = 15 inches
Which means, 1 inch is equal to :
[tex] = \tt\frac{30}{15} [/tex]
[tex] = \tt2 \: feet[/tex]
Thus, 1 inch in the drawing is equivalent to 2 feet of the floor.
Then, width of floor in the scale drawing :
[tex] = \tt\frac{38}{2} [/tex]
[tex] = \tt19 \: inches[/tex]
Thus, the width of the floor in the scale drawing = 19 inches
Perimeter of the floor in the scale drawing :
[tex]= \tt2(length + breadth)[/tex]
[tex] =\tt 2(15 + 19)[/tex]
[tex] =\tt 2(34)[/tex]
[tex] =\color{plum}\tt68 \: inches[/tex]
Thus, perimeter = 68 inches
Therefore, the perimeter of the rectangular floor in the scale drawing = 68 inches
Answer:
P = 2L + 2W
W = 5
P = 2L + 2(5) = 16
2L + 10 = 16
2L = 6
L = 3 ft
Step-by-step explanation:
So we know that the perimeter of a rectangle= 2 (length + width).
We set up the equation so it's 16= 2 (length+ 5)
Divide both sides by 2, so 8 = length + 5.
Subtract 5 from both sides and you get length = 3
what do the blue lines mean also what is the answer
Answer: 66 çm
Step-by-step explanation:
a triangle his different heights so base it off what the blue line says.
Answer:
correct answer is 66cm
Step-by-step explanation:
on Khan academy
Find x:
Angle 2x
Angle 3x-20
For geometry
Answer:
x=40
Step-by-step explanation:
2x+3x-20=180
since they are on the same line, you add them up to 180 to find x
5x-20=180
+20+20
5x=200
x=40
PLZ HELPP AND ANSWER FASTTTT. ANSWER BOTH PARTS PLZZ
4 full teams
1 smaller team.
Answer: there would be 4 full teams, and 3 in the smaller team.
Step-by-step explanation:
You can put 4 into 19 four times, which gets you 16. So the remaining number, 6, is the smaller team.
Hey there .. Plz help me solve this .
Answer:
I don't understand your question!!!
48 is 16% of what number?
Answer:
300
Step-by-step explanation:
48÷0.16=300
Answer:
300 I believe I it is if you want to believe me
Which equation best represents the following word problem:
Doubling the greatest of 3 consecutive numbers is the sams as subtracting the second from the first.
a
2n + 2 = n - n + 1
b
2(n + 2) = n + 1 - n
c
2(n + 2) = n - n + 1
d
2(n + 2) = n - (n + 1)
Answer:
C
Step-by-step explanation:
I got this from the internet I don't know why you need brainly when you got the internet or just ask the tutor they have been helping me out SOO MUCH!!
I choose $9000 but I'm not sure and I just wanted to verify or an explanation to see if I'm right?
Answer:
Yea it's 9000
Step-by-step explanation:
6,000 is way too low, and 15,000 and 18,000 are way too high
In the world of right triangles why does a (squared) + b(squared) = c(squared)? thanks konrad streuli
Answer:
Pythagoras Theorem
Step-by-step explanation:
Like you rightly stated, in a right angled triangle. The phenomenon you mentioned is what us called Pythagoras theorem which proved to us that the square of the length of the hypotenuse of a right angled triangle, is equal to the square of the length of the opposite side to the angle in question, and also to the square of the length of the side adjacent to the same angle in question.
Essentially,
a² + b² = c², where c is the hypotenuse and a & b is the length of the two other sides
Please help me
why - 9/5-1=-14/5
Answer:
Step-by-step explanation:
Because you have to take the L.C.M ,
-9/5 - 1
=( -9-5)/5
= -14/5
please
Brain-list it or support me at my U-Tube channel " ZK SOFT&GAMING " I will be thankful
Step-by-step explanation:
Two negatives make a positive.
So, if it was negatives, it would make an addition between 9 and 5 which makes 14.
Solve the question below
Answer:
167.143
Step-by-step explanation:
2:6:7
7 for the perimeter
195/7= 27.875
27.875 * 6 =167.143
Answer:
91 meters
Step-by-step explanation:
First find the denominator in the ratio by adding every value up.
[tex]2 + 6 + 7 = 15[/tex]
Now, divide 195 by 15.
[tex]195 \div 15 = 13[/tex]
The longest must be the one with the 7 in the ratio, so we multiply 7 by 13.
[tex]7 \times 13 = 91[/tex]
The longest side is 91 meters long.
Allison goes to the store with $100. She buys the same gift for 7 of her friends. She has $16 dollars left. How much did each gift cost.
Answer:
$12
Step-by-step explanation:
Since she has $16 left, this means she spent $84. ($100-$16=$84)
Then, since she bought the same give for 7 of her friends, divide:
84/7=12.
This means that each gift cost $12.
A small business makes bottles of lemonade. Today, they have 528 ounces of lemonade to bottle. Each bottle holds 24 ounces of lemonade. They sell each bottle for 2 dollars. How many dollars will the business recive?
Answer:
$44
Step-by-step explanation:
From the above question:
24oz of Lemonade = 1 bottle
528 oz of Lemonade = m
Cross Multiply
24 × m = 528
m = 528/24
m = 22 bottles
We are told that: they sell each bottle for $2
Hence:
1 bottle = $2
22 bottles = z
Cross Multiply
z = 22 × $2
z = $44
Hence, the amount of dollars that the business will receive = $44
X^2-7x+10=0?? Please and thank you
W and B share the cost of purchasing a TV. B pays 4/10 of the bill and W pays $32 more than B. How much did each pay?
Answer:
W paid $96
B paid $64
Step-by-step explanation:
Let the total amount paid be $x
From the question, we are told that B pays 4/10
That means what W paid will be;
1-4/10 = 6/10
Thus, we have that;
6/10 * x - 4/10 * x = 32
6x/10 -4x/10 = 32
2x/10 = 32
2x = (32 * 10)
2x = 320
x = 320/2
x = $160
6/10 = 6/10 * 160 = $96
4/10 = 4/10 * 160 = $64
El boleto de entrada de una funcion de teatro es de $175.00para nuños y $200para adultos a la funcion entran 470 asistentes recaudandose $88,250.00 ¿Cual es el sistema de ecuaciones para calcular la cantidad de niños y adultosque acudieron a la funcion
Answer:
El sistema de ecuaciones para calcular la cantidad de niños y adultos que acudieron a la función es:
x+y=270
175x+200y=88,250
Step-by-step explanation:
La información proporcionada indica que a la función entran 470 asistentes entre adultos y niños y con esta información puedes decir que la suma de niños y adultos que entran a la función es igual a 470:
x+y=270, donde
x es el número de niños
y es el número de adultos
Además, se indica que se recaudaron $88,250 y tienes los precios de cada entrada por lo que puedes expresar que la suma de los resultados de multiplicar cada precio por la cantidad de personas que entraron por ese precio es igual a $88,250:
175x+200y=88,250
De acuerdo a esto, la respuesta es que el sistema de ecuaciones para calcular la cantidad de niños y adultos que acudieron a la función es:
x+y=270
175x+200y=88,250
It is the question THANKS :D
Answer: the first
Step-by-step explanation:
Answer:
the third is the correct answer
Step-by-step explanation:
i hope that is right:)
One health club charges a $40 membership fee and $40 per month. Another club charges a $100 membership fee and $25 per month. Write and solve an equation to find the number of months that it will take for the two health clubs to be equal.
Answer:
They will be equal at the 4th visit both paying $200.
Step-by-step explanation:
Club A: 40+40x
Club B: 100+25x
Does the data in the table show a proportional relationship?
Answer:yes
Step-by-step explanation:
Arithmetic Sequences Assessment
an = a1 + (n − 1)d
Find the 32nd term of the arithmetic sequence 32, 29, 26, 23, ...
-55
-61
064
63
Answer:
a1=32,n=32,d=29-32=-3
a32=32+(32-1)×-3=32+31×-3=32-93=-61
For each of the following equations,give the centre and radius of the circle.
a)x^2 + y^2 = 25 b) x^2 + y^2= 1
d) (x - 5)^2 + (y-3)^2 = 81 e) (x+2)^2 + (y-1)^2 = 9
g) (x + 1)^2 + (y + 3)^2 = 49 h) x^2+ y^2 = 6.25
Answer:
a) Center is (0,0) and radius r = 5
b) Center is (0,0) and radius r = 1
d) Center is (5,3) and radius r = 9
e Center is (-2,1) and radius r = 3
g) Center is (-1,-3) and radius r = 7
h) Center is (0,0) and radius r = 2.5
Step-by-step explanation:
a)
Given circle x² + y² = 25
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Center is (0,0) and radius r = 5
b)
Given circle x² + y² = 1
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Center is (0,0) and radius r = 1
d)
Given circle (x-5)² + (y-3)² = 81
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x-5)² + (y-3)² = 9²
Center is (5,3) and radius r = 9
e)
Given circle (x+2)² + (y+1)² = 9
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x+2)² + (y+1)² = 3²
Center is (-2,-1) and radius r = 3
g)
Given circle (x+1)² + (y+3)² = 49
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x+1)² + (y+3)² = 7²
Center is (-1,-3) and radius r = 7
h)
Given circle x² + y² = 6.25
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Given circle x² + y² = (2.5)²
Center is (0,0) and radius r = 2.5
The diagram shows a velocity-time graph of a motorbike for 25 seconds.
a) After how many seconds was the acceleration zero? 4.5 seconds
metres
b) What was the distance travelled in the last 15 seconds?
25
20
15
Velocity (m/s)
10
5-
0
0
5
10 Time (s)15
20
2
25
Answer: The acceleration is 0 after 4.5 seconds.
*The distance traveled in the last 15 seconds on the graph is about 225 meters.*
If the question means "distance traveled during the last 15 seconds before coming to a complete stop" The distance is 30 meters.
The attachment shows what I believe to be the missing right side of the graph showing the velocity at 0.
Step-by-step explanation: a.) at 4.5 seconds, the graph is momentarily flat; that is, the derivative, (the change in slope) is 0. There is no change in velocity at that point. Before that, the velocity is increasing, so there is positive acceleration. After that, the velocity is decreasing. So the acceleration is negative.
*The answer choices seem incorrect to me. for part b. Is there a typo?*
b.) From 10 seconds to 25 seconds, the "last 15 seconds" on the graph, the velocity is decreasing at a steady rate; the average velocity is 15m/sec
At 15m/sec × 15 sec, the distance traveled is 225 meters.
If we are to extrapolate to the point there the velocity is 0, assuming the steady rate of deceleration, the motorbike will reach that stopping point at 63.75 seconds. At 15 seconds before that, at 48.5 sec, it is traveling at 4m/sec.
The average velocity during the final 15 seconds is 2m/sec.
2m/sec × 15 sec = 30 meters.
I don't see that choice either, so I wonder if the question is missing something.
If someone else has a better explanation, I hope they they will answer and explain what I missed.
Answer:
I will only be answering B as A has already been correctly Anserd
B is 225
Step-by-step explanation:
You have to draw a trapezium on the graph and work out it's area so
17 + 13 = 30
30÷ 2 = 15
15 × 15 = 225
In the image below, ∠B≅∠E. What similarity criterion proves that △ABC~△FED?
Answer: a
sin
A
=
b
sin
B
Y
sin
60
∘
=
5
sin
36
∘
Y
=
5
sin
36
∘
(
sin
60
∘
)
Y
=
7.36
≈
7.4