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3 years ago

Question

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

(30, ∞)

Step-by-step explanation:

b – 27 > 3

Add 27 to both sides

b > 30

In interval notation

(30, ∞)

nadya68 [22]3 years ago

3 0

Answer:

(30,∞ )

Step-by-step explanation:

b> 27+3

b> 30

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If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22

madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years

Annual rate = 0.078

Quarterly= 0.078 ÷ 4 = 0.0195

Effective annual rate = (1.0195^4) - 1 = 0.0803113041

Now applied the formula which is given below

= -FV(RATE;NPER;PMT;PV)

After applying the above formula, the future value is $501,049.37

7 0

3 years ago

5x 4 1/2 Answer with a mixed number in simplest form.

nekit [7.7K]

Answer:

22 1/2

Step-by-step explanation:

$5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}$

3 0

3 years ago

3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony

Zinaida [17]

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

<h3>What number of seats does the theatre have?</h3>

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

Find out more on ratios and proportions at brainly.com/question/11041750.

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8 0

2 years ago

Division w/ remainder<br><br><br> help

Allisa [31]

Answer:

So for the first one, circle Ignored it becaue you cna't buy any more.

For number 2, Quotient is 8 & R is 10. Circle Rounded the quotient up because you need another bin to hold it.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A’s DJ service charges a $200 setup fee and $75 an hour after that.

Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

$y=200+75x$ .... (1)

Let Y represent the cost for B's DJ service.

$y=125x$ .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

$125x= 200+75x$

$125x-75x=200$

$50x=200$

$x=4$

$y=125\times 4 =500$

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

$-y = -125x$ .... Equation (3).

Add euation (1) and equation (3)

$y+(-y) = 200+75x-125x$

$0=200-50x$

$50x=200, x=4$

$y=500$

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

$y=200+(75\times 2) = 350$

For x = 2, equation (2)

$y= 125\times 2 =250$

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

$y=200+(75\times 6) =650$

For x= 6, equation (2)

$y=125\times 6=750$

For 6 hours, DJ A would be better option since it charges $650 for 6 hours.

8 0

3 years ago