If the consumer price index changes from 125 in september to 150 in october, what is the rate of inflation?
a. 20.0%
b. 16.7%
c. 9.1%
d. 45.5%
If the consumer price index changes from 125 in september to 150 in october, the rate of inflation is a. 20.0%
Further explanationInflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When inflation is too high, it is not good for the economy or individuals. Inflation always reduce the value of money, unless interest rates are higher than inflation. The less chance there is that savers will see the real return on their money if the inflation gets higher. There are causes of inflation such as demand-pull and Cost-push. They are responsible for a general rise in prices in an economy.
Policies to reduce inflation are such as monetary policy (Higher interest rates), Tight fiscal policy (Higher income tax and/or lower government spending that will reduce aggregate demand and leading to lower growth and less demand pull inflation).
The rate of inflation = 20%.
September's price = 125
October's price = 150
Rate of inflation = [tex]\frac{(150-125)}{125} * 100[/tex]
[tex]\frac{25}{125 } *100[/tex]
[tex]=0.2 * 100 \\= 20%[/tex]
Learn moreLearn more about the consumer price index https://brainly.com/question/12142722Learn more about the rate of inflation https://brainly.com/question/11632314Learn more about inflation https://brainly.com/question/1419222Answer detailsGrade: 9
Subject: business
Chapter: the consumer price index
Keywords: the consumer price index, september, october, the rate of inflation, inflation
Percy paid 24.10 for a basketball. The price of a basketball was 22.99. What was the sales tax rate?
Answer: The required sales tax rate is 4.83%.
Step-by-step explanation: Given that Percy paid 24.10 for a basketball and the price of a basketball was 22.99.
We are to find the sales tax rate.
According to the given information, the sales tax is given by
[tex]S.T.=24.10-22.99=1.11.[/tex]
Therefore, the sales tax rate is given by
[tex]\dfrac{1.11}{22.99}\times100\%=\dfrac{111}{22.99}\%=4.83\%.[/tex]
Thus, the required sales tax rate is 4.83%.
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Polynomial is an expression that consists of indeterminates(variable) and coefficients.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As we know about the polynomials, therefore, the expressions that are polynomials are,
Polynomial:
[tex]x^3 - 4x - 3[/tex][tex]-x^5 + 7x - \dfrac{1}{2}x^2 + 9[/tex][tex]x^4 + x^3 \sqrt7 + 2x^2 - \dfrac{\sqrt3}{2}x + \pi[/tex]Not a Polynomial:
[tex]x^4 + \dfrac{5}{x^3} - \sqrt x + 8[/tex][tex]x^2 + 4\sqrt x - 2[/tex][tex]\dfrac{4}{x^2-4x+3}[/tex]Learn more about Polynomial:
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9. Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror?
−4/5 times 10/16 as a fraction in simplest form, will give branliest and 44 pts
-4/5 * 10/16 =
multiply 4 and 10
4*10 = 40
multiply 5 and 16
5*16 = 80
so you have 40/80 since 4/5 is negative the answer is also negative
so you would have -40/80 which reduces to -1/2
Frank has $66.50 in his account on Sunday. Over the next week, he makes the following changes to his balance via deposits and purchases:
Answer:
A) Wednesday
Step-by-step explanation:
grinding on E2020 here you go :)
Given point M(0,6),N (5,3), Rc (-7,-5) nd S(-2,-2) determine if MN is congruent to Rs
Over the course of a weekend, the temperature drops 14.2 degrees on Friday, rises 13 degrees on Saturday, and drops another 10.8 degrees on Sunday. What is the overall change in temperature for the weekend?
Question part points submissions used use cylindrical coordinates. evaluate x2 + y2 dv, e where e is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = 3 and z = 7.
A recipe calls for 2 2/3 cups of flour. Terell wants to make 3 4 of the recipe. How much flour should he use?
What is the monthly payment on $13,300 financed at 7.9 percent for 4 years if the monthly payment per $100 is $2.74?
A. $133
B. $364.42
C. 328.51
D. $284.44
Answer:
The monthly payment is $364.42
B is correct
Step-by-step explanation:
The monthly payment on $13,300 financed at 7.9 percent for 4 years.
If the monthly payment per $100 is $2.74
Financed amount = $13,300
We are given monthly payment for $100 is $2.74
It means we pay $2.74 for $100.
Now we find how many number of $100 in $13,300
Number of $100 in $13,300 [tex]=\dfrac{13300}{100} = 133[/tex]
133 number of hundred in $13,300
For each $100 monthly payment = $2.74
For 133 payment = 133 x 2.74
Monthly Payment for $13,300 finance = $364.42
Hence, The monthly payment is $364.42
Solve: log4(7t + 2) = 2
Answer:
The required value of t is equal to 2
Step-by-step explanation:
We need to solve the following expression :
[tex]\log_4(7t+2)=2[/tex]
Now, using the base rule :
[tex]2=\log_4(4^2)\\\\\implies 2= \log_4(16)[/tex]
Now, using this value of 2
[tex]\log_4(7t+2)=2\\\\\implies\log_4(7t+2)=\log_4(16)\\\\\implies 7t+2=16\\\\\implies 7t=16-2\\\\\implies 7t=14\\\\\implies t = 2[/tex]
Hence, The required value of t is equal to 2
Answer:
This one is 2, next answer is 7
Step-by-step explanation:
edge 2020
Tom is putting money into a savings account. He starts with $650 in the savings account, and each week he adds $60 . Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Tom has been adding money. Write an equation relating S to W . Then use this equation to find the total amount of money in the savings account after 18 weeks.
When we toss a penny, experience shows that the probability (long term proportion) of a head is close to 1-in-2. suppose now that we toss the penny repeatedly until we get a head. what is the probability that the first head comes up in an odd number of tosses (one, three, five, and so on)?
The probability that the first head comes up in an odd number of tosses can be determined using geometric probability.
Explanation:When tossing a coin repeatedly until we get a head, the probability that the first head comes up in an odd number of tosses can be determined using geometric probability. Since the probability of getting a head in one toss is 0.5, the probability of getting a head in an odd number of tosses (one, three, five, etc.) can be calculated using the formula:
P(odd number of tosses) = P(tail) * P(tail) * P(tail) * ... * P(head)
The number of terms in the product is determined by the number of tosses required to get the first head. For example, if it takes 3 tosses to get the first head, the formula becomes:
P(odd number of tosses) = P(tail) * P(tail) * P(head)
Since the probability of getting a tail is 0.5 and the probability of getting a head is also 0.5, the formula simplifies to:
P(odd number of tosses) = 0.5 * 0.5 * 0.5 * ... * 0.5 = (0.5)^n
Where 'n' is the number of tosses required to get the first head.
Which equation does NOT represent direct variation? A. Y=x/21 B. y/x=5/8 C. y-3= 3x D. y-5x=0
What number is needed to complete the pattern below? 202 210 218 __ 234 242 250 258
(a) Use Euclid’s algorithm to find the g , the greatest common divisor of 273 and 3019.
Final answer:
To find the greatest common divisor of 273 and 3019 using Euclid's algorithm, we divide the larger number by the smaller and use the remainder to repeat the process until we reach a remainder of 0. The gcd of 273 and 3019 is determined to be 1, indicating that they are coprime.
Explanation:
Using Euclid's Algorithm to Find the GCD
Euclid's algorithm is a method to determine the greatest common divisor (gcd) of two numbers. To find the gcd of 273 and 3019, we perform the Euclidean division repeatedly until we get a remainder of zero. The last non-zero remainder will be the gcd of the given numbers.
Divide 3019 by 273 to get a quotient of 11 and a remainder of 46.
Next, divide 273 by 46 to get a quotient of 5 and a remainder of 43.
Then, divide 46 by 43 to get a quotient of 1 and a remainder of 3.
Finally, divide 43 by 3 to get a quotient of 14 and a remainder of 1.
Now, divide 3 by 1 to get a quotient of 3 and a remainder of 0.
Since the last non-zero remainder is 1, the greatest common divisor (gcd) or g of 273 and 3019 is 1. Thus, 273 and 3019 are coprime or relatively prime to each other.
If seven integers are selected from the first 12 negative integers, how many pairs of these integers will have a sum of −13?
At least 1, possibly as many as 3.
Step-by-step explanation:There are 6 pairs of integers among those from -1 to -12 that will sum to -13. If you choose 7 integers, you may only choose one pair, or you may choose as many as three pairs.
One to three pairs will sum to -13.
(-4x + 3) + (-2x + 8)
Two planes which are 3540 miles apart fly toward each other. Their speeds differ by 35 mph. If they pass each other in 4 hours, what is the speed of each?
Final answer:
The speed of the slower plane is 425 mph, and the speed of the faster plane is 460 mph, determined by using the concept of relative speed and algebra to solve the given equation.
Explanation:
To solve the problem of two planes flying towards each other, we need to use the concept of relative speed. We know that the two planes are 3540 miles apart and that they pass each other after 4 hours. The speeds of the planes differ by 35 mph. The relative speed of the two planes combined is the distance divided by the time, so we calculate it as follows:
Relative Speed = Total Distance / Time = 3540 miles / 4 hours = 885 mph
So, if we denote the speed of the slower plane as S mph, the speed of the faster plane will be S + 35 mph. Since their combined speed is the relative speed, we can set up the following equation:
S + (S + 35) = 885
From this equation, we need to find the value of S which represents the speed of the slower plane. We can then add 35 to S to find the speed of the faster plane. Here's how it's done step by step:
Combine like terms: 2S + 35 = 885Subtract 35 from both sides: 2S = 850Divide by 2 to solve for S: S = 425 mphAdd 35 to S to find the speed of the faster plane: 425 + 35 = 460 mphTherefore, the speed of the slower plane is 425 mph and the speed of the faster plane is 460 mph.
A machine laying underground cable can place 125 meters of cable in 5 minutes What is the rate per minute
divide 125 by 5
125 /5 = 25 meters per minute
Answer:
The rate per min is, 25 meters/minute
Step-by-step explanation:
Unit rate is defined as when rates are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: a machine laying underground cable can place 125 meters of cable in 5 minutes.
Then by definition:
rate per minute = [tex]\frac{125}{5} = 25[/tex] meters /minute
therefore, the rate per minute is, 25 meters/ minute
In rectangle PQRS, PQ = 18, PS = 14, and PR = 22.8. Diagonals PR and QS intersect at point T. What is the length of TQ ?
Answer:
TQ = 11.4
Step-by-step explanation:
Given : In rectangle PQRS, PQ = 18, PS = 14, and PR = 22.8. Diagonals PR and QS intersect at point T.
To find : What is the length of TQ .
Solution : We have given rectangle PQRS
Side PQ = 18.
Side PS = 14.
Diagonal PR = 22.8 .
Properties of rectangle : (1) Opposite sides of rectangle are equals.
(2) Diagonals of rectangle are equal .
(3) Diagonals of rectangle bisect each other.
Then by second property :
Diagonal PR= QS .
QS = 22.8
By the Third property TQ = [tex]\frac{1}{2} * QS[/tex].
TQ = [tex]\frac{1}{2} * 22.8 [/tex].
TQ = 11.4
Therefore, TQ = 11.4
Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. I need the answer and the model and how you got the answer by tomorrow, Thx. :) Will Medal!
20% = 0.20
multiply original price ( $0) by 0.20 for the amount of discount then subtract it
80*0.20 = 16.00
she will save $16
80-16 = 64
she will pay $64 after the discount
George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has the utility function u(x, y) = 3x 2 + 6y 2 and he can purchase fractional units of x and y. george will choose
We are given the equations:
5 x + 11 y = 49 --> eqtn 1
u = 3 x^2 + 6 y^2 --> eqtn 2
Rewrite eqtn 1 explicit to y:
11 y = 49 – 5 x
y = (49 – 5x) / 11 --> eqtn 3
Substitute eqtn 3 to eqtn 2:
u = 3 x^2 + 6 [(49 – 5x) / 11]^2
u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]
u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121
u = 4.24 x^2 – 24.3 x + 119.06
Derive then set du/dx = 0 to get the maxima:
du/dx = 8.48 x – 24.3 = 0
solving for x:
8.48 x = 24.3
x = 2.87
so y is:
y = (49 – 5x) / 11 = (49 – 5*2.87) / 11
y = 3.15
Answer:
George will choose some of each commodity but more y than x.
10+6 has the same sum as 7+
At 10a.m the temperature was 71 degreesF. At 3 P.M the temperature was 86degrees F. Find the value of the slopes and explain what it means
f+0.2=−3 what does f equal
f + 0.2 =-3
f = -3 -0.2
f = -3.2
The volume of a spherical hot air balloon v(r) = 4/3 πr^3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the average rate of change of the volume with respect to t as t changes from t = 1 to t = 2.
(30 Points + Brainliest)
slope = y2 - y1 / x2-x1
she switched the y values and has y1-y2
so the answer is B
Answer:
slope = y2 - y1 / x2-x1
she switched the y values and has y1-y2
so the answer is B
Step-by-step explanation:
Pizza planet is running a special 3 pizzas for $16.50. What is the unit price for one pizza