14.01.2021

2. Given this pattern of rate increase, what year was it when the General minimum
wage was $5.00? Show your work!

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Mathematics

EXAMPLE 2 Find a formula for the general term of the sequence 3 5 , − 4 25 , 5 125 , − 6 625 , 7 3125 , assuming that the pattern of the first few terms continues. SOLUTION We are given that a1 = 3 5 a2 = − 4 25 a3 = 5 125 a4 = − 6 625 a5 = 7 3125 . Notice that the numerators of these fractions start with 3 and increase by 1 Correct: Your answer is correct. whenever we go to the next term. The second term has numerator 4, the third term has numerator 5; in general, the nth term will have numerator Incorrect: Your answer is incorrect. . The denominators

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The given terms can be written in the generalized format as

$\rm a_n=\dfrac{(2n+1)(-1)^{n+1}}{5^n}$ and this can be done by observing the given terms.

Given :

General Terms --

$\rm a_1 = \dfrac{3}{5}$ $\rm a_2 = -\dfrac{4}{25}$ $\rm a_3 = \dfrac{5}{125}$ $\rm a_4 = -\dfrac{6}{625}$ $\rm a_5 = \dfrac{7}{3125}$

The term $\rm a_2$ can be written as:

$\rm a_2 = \dfrac{4}{5^2}$

The term $\rm a_3$ can be written as:

$\rm a_3 =\dfrac{5}{5^3}$

The term $\rm a_4$ can be written as:

$\rm a_4 =\dfrac{6}{5^4}$

The term $\rm a_5$ can be written as:

$\rm a_5 =\dfrac{7}{5^5}$

So, the above terms can be written in the generalized format as:

$\rm a_n=\dfrac{(2n+1)(-1)^{n+1}}{5^n}$

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Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

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Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

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The answer is in the image

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

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The answer is in the image

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

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The total nom of code that can be used is equal to 5+3 = 8

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

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P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

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The solution is in the following image

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

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The answer is in the image

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

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The solution is given in the image below

Mathematics

Mathematics, 26.03.2020 20:52, mohammadhosseinkarim David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

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The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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2. Given this pattern of rate increase, what year was it when the General minimum wage was $5.00? Show your work!

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2. Given this pattern of rate increase, what year was it when the General minimum
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