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vfiekz [6]
3 years ago
7

Arrange these numbers from least to greatest: 5/6, 7/9, -4/5

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0

-4/5, then 7/9 and last is 5/6.
Snezhnost [94]3 years ago
3 0
The negative number would be the least
convert 5/6=15/18
             7/9=14/18
-4/5, 7/9,5/6
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Answer please I will give brainiest to the one who answers first.
Lerok [7]

Answer:

  • $1,094,748.09
  • $8600.28
  • 11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

  A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

__

b1) The amortization formula is good for this.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the amount earning interest at annual rate r compounded n times per year for t years.

  A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

__

b2) The account balance after n months will be ...

  B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

  300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

  300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

  -1,806,191.02 = -1,011,442.93(1.00408333^n)

  1.785757 = 1.00408333^n

  n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0
3 years ago
Which questions result in data that is categorical? Check all that apply.
Rasek [7]

Answer:

1,2,3,5

Step-by-step explanation:

1-Is your job as an IT administrator stressful?

2-What is your biggest source of stress?

3-How has your job impacted your personal life?

5-Have you ever considered switching careers because of on-the-job stress?

8 0
3 years ago
At 5.45p.M .,lixin,khairul and Devil are at the starting point of a 1-km circular path. Lixin Takes 18 minutes to walk one round
sweet [91]

Answer:

Meeting\ Time = 6:03\ pm

Step-by-step explanation:

Given

Start\ Time= 5:45pm

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Devi = 4minutes/2\ rounds

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Convert 360 seconds to minutes

Khairul = \frac{360}{60} min/round

Khairul = 6 min/round

Devi = 4minutes/2\ rounds

Divide by 2/2

Devi = 2mins/round

So, we have:

Lixin = 18\ min/round

Khairul = 6 min/round

Devi = 2mins/round

Next, is to determine the LCM of 18, 6 and 2

18=2 * 3 * 3

6 = 2 * 3

3 = 3

Their LCM is:

LCM = 2 * 3 * 3

LCM = 18

This means that they will meet 18 minutes after their initial time of departure.

So:

Meeting\ Time = 5:45\ pm + 18\ minutes

Meeting\ Time = 6:03\ pm

3 0
3 years ago
How do you identify the constant of proportionality when given a graph?
Rzqust [24]
Find two easy points on a graph and go over however many times you need to rise and how many times to you run.
5 0
3 years ago
which set of numbers may represent the lengths of the sides of a triangle? A. 1, 3, 4 C. 5, 7, 9 B. 4, 4, 9 D. 8, 5, 3
enot [183]
The answer will be B 4,4,9
4 0
3 years ago
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