Answer:
f(x) = 20,000(0.85)^x
Step-by-step explanation:
Given data
Cost of car P= $20,000
rate of depreciation r= 15%
Let us apply the depreciation formula
f(x) = P(1-r)^t
substitute
f(x) = 20000(1-0.15)^x
f(x) = 20000(0.85)^x
Therefore the correct expression is option 1
f(x) = 20,000(0.85)^x
One manufacturer is calculating the trade discount on a dog kennel with a list price of $257 and a trade discount series of 12/11/12 What is the trade discount? What is the net price for the kennel?
The trade discount is S (Round to the nearest cent as needed)
The net price for the kennel is S (Round to the nearest cent as needed
4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me
Answer:
(a)
[tex]\%Decrease= 12.5\%[/tex] --- TV
[tex]\%Decrease= 20\%[/tex] --- Laptop
(b) Laptop
Step-by-step explanation:
Given
Normal Sales
[tex]TV = 2000[/tex] [tex]TV = 1750[/tex]
[tex]Laptop = 1800[/tex] [tex]Laptop = 1440[/tex]
Solving (a): Percentage increase of decrease for both
Percentage change is calculated as:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
For TV
[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]
[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]
[tex]\%Change = -0.125* 100\%[/tex]
[tex]\%Change = -12.5\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 12.5\%[/tex]
For Laptop
[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]
[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]
[tex]\%Change = -0.2* 100\%[/tex]
[tex]\%Change = -20\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 20\%[/tex]
Solving (b):
Laptop has the best reduced price because it has a larger percentage decrease
please answer! will give brainliest
Answer:
9.5 I think
STEPS-
9+4+11+14=38
38/4=9.5
Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD
Answer:
c) inversely
Step-by-step explanation:
In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.
Mathematically, an inverse relationship is given by the formula;
A = K/B
Where;
A and B are the variables.
K is the constant of proportionality.
Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.
Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years
Answer: y = 200·1.15^t
Step-by-step explanation:
The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as
y = initial value · (common ratio)^t
y = 200·1.15^t
What is the converse of the statement? if p then q
A If q, then p.
B If not p, then q.
C If not p, then not q.
D If not q, then not p.
Homework
Answers are given at the end of
the chapter
Q1 Change 0.035 g to milligrams.
Answer:
the answer 0.035 g = 35 milligrams
Answer:
Step-by-step explanation:
35miligram in 0.035g
Form a paragraph proof for the following. Make sure you include all the
explanations.
HELP ASAP PLS
Answer:
Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent
I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.
Can you help me here is the inage
Answer:
150x=y
Step-by-step explanation:
2x150=300
4x150=600
6x150=900
8x150=1200
Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?
Answer:
B
Step-by-step explanation:
B is the most likely answer due to
13x.5=6.5
and
53x.25=13.25
13.25+6.5=19.75$
Now stop making a high schooler do your work xD
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2
GEOMETRY
PLEASE HELP
PICTURE INCLUDED
Answer:
x = 25°
Step-by-step explanation:
3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)
12x + 60° = 360°
12x = 300°
x = 25°
d i need help on this
Step-by-step explanation:
Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.
The sum of two numbers is 3472.
one of the numbers is 1968.
find the other number
Answer:
1504
Step-by-step explanation:
3472-1968=1504
CHECK
1968+1504=3472
¿CÓMO ALCANZÓ EL HOMBRE EL CONCEPTO DE INFINITO?
Trabajar con el infinito es un asunto complicado. Las paradojas de Zenón alertaron por primera vez a los filósofos occidentales sobre esto en 450 a. C. cuando argumentó que un corredor rápido como Aquiles tiene un número infinito de lugares para alcanzar durante la persecución de un corredor más lento. Desde entonces, ha habido una lucha por entender cómo usar la noción de infinito de una manera coherente. Este artículo se refiere al importante y controvertido papel que juegan los conceptos de infinito y el infinito en las disciplinas de la filosofía, las ciencias físicas y las matemáticas.
Los filósofos quieren saber si hay más de un concepto coherente de infinito; qué entidades y propiedades son infinitamente grandes, infinitamente pequeñas, infinitamente divisibles e infinitamente numerosas; y qué argumentos pueden justificar las respuestas de una forma u otra.
Aquí hay algunos ejemplos de estas cuatro formas diferentes de ser infinito. La densidad de la materia en el centro de un agujero negro es infinitamente grande. Un electrón es infinitamente pequeño. Una hora es infinitamente divisible. Los números enteros son infinitamente numerosos. Estas cuatro afirmaciones están ordenadas de mayor a menor controversia, aunque las cuatro han sido cuestionadas en la literatura filosófica.
Este artículo también explora una variedad de otras preguntas sobre el infinito. ¿Es el infinito algo indefinido e incompleto, o es completo y definido? ¿Qué quiso decir Tomás de Aquino cuando dijo que Dios es infinitamente poderoso? ¿Estaba en lo cierto Gauss, que fue uno de los más grandes matemáticos de todos los tiempos, cuando hizo la controvertida observación de que las teorías científicas involucran infinitos simplemente como idealizaciones y simplemente para facilitar la aplicación de esas teorías, cuando en realidad todas las entidades físicamente reales son ¿finito? ¿Cómo cambió la invención de la teoría de conjuntos el significado del término "infinito"? ¿Qué quiso decir Cantor cuando dijo que algunos infinitos son más pequeños que otros? Quine dijo que los primeros tres tamaños de los infinitos de Cantor son los únicos en los que tenemos motivos para creer. Los platónicos matemáticos no están de acuerdo con Quine. ¿Quién tiene razón? Veremos que existen profundas conexiones entre todas estas cuestiones.
The area of a square screen is 100 cm². Find the side length
of the screen.
Answer:
10 cm
Step-by-step explanation:
From the question,
Area of a square = (Length)²
A = L²............................ Equation 1
Where A = Area of the screen, L = Length of the Screen
make L the subject of the equation
L = [tex]\sqrt{A}[/tex].................... Equation 2
Given: A = 100 cm²
Substitute into equation 2
L = [tex]\sqrt{100}[/tex]
L = 10 cm
Hence the length of the screen is 10 cm
Dan has ¾ of a cake left over from his birthday party. His best friend Amy ate 1/7 of the leftover cake. How much of the cake does Dan have left?
Answer:
9/14 of cake leftStep-by-step explanation:
3/4 left and 1/7 of that eaten:
3/4 - 3/4(1/7) = (3/4) (1 - 1/7) = (3/4)(6/7) =18/28 = 9/14Answer:
9/14
Step-by-step explanation:
tell me in I'm wrong
State the name of the figure (
9) C rhombus
10) D rectangle
11) B square
12) A square
Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole
A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980
Answer:B
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685
Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3
Answer:
3
Step-by-step explanation:
y= x + 8..... (1)
y= 3x - 11..... (2)
y - x = 8..... (3)
y - 3x = -11..... (4)
eliminating x:
(3) × 3: 3y - 3x = 24 ........ (5)
(4) × 1: y - 3x = -11 ......... (6)
(5) - (6): 2y = 35
Divide both sides by 2, therefore, y = 17.5
substitute the value of y into (3)
y - x = 8
17.5 - x = 8
17.5 - 8 = x
9.5 = x
I hope it'll help
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Step-by-step explanation:
Given
[tex]Purple = 18[/tex] [tex]Green = 34[/tex] [tex]White = 14[/tex]
[tex]Blue = 26[/tex] [tex]Black = 8[/tex]
Required
Probability of first selecting white and then selecting purple
The total boxes is:
[tex]Total = 18+34+14+26+8[/tex]
[tex]Total = 100[/tex]
The probability is represented as:
[tex]P(White\ and\ Purple)[/tex]
And the solution is:
[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]
[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]
[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]
[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]
[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]
[tex]P(White\ and\ Purple) = 0.0252[/tex]
or
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
what is taxation ?...maths literacy grade 12
The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true
Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
P(2) is trueP(4) is true P(6) is truethis simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
P( 0+2 ) = P(2) is truealso P(1) and P(2) are true
we will assume that
P(1+2) = P(3) is trueAlso from the previous answers it can be seen that P(2) + P(3) is true
we will assume
P(2+2) = P(4) is trueThis simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }
what is 29 divided 3 and what is the remainder?
Answer:
9 remainder2
Step-by-step explanation:
Answer:
29 divided by 3 is equal to 9, with the remainder 2.
Step-by-step explanation:
29 : 3 = 9
- 27
(2)
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner charges for 4 hours of work?