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LenaWriter [7]
3 years ago
5

Distributive property 18(26) then simplify

Mathematics
1 answer:
solmaris [256]3 years ago
5 0
ANSWER: 18(26) = 468
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Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
What is the greatest common factor of the terms in the polynomial 8xt – 4х – 18x??
mariarad [96]

2x

so...

2x (4t - 2 - 9)

2x (4t -  11)

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
I need help simplifying both of these. thank you!
4vir4ik [10]
<h3>Answer:</h3>
  1. -100x +100; 3
  2. 5x +81; 162
<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

  a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

  (a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

  (a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

  = -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

  = 100 (1 -x)

Then for x = 0.97

  = 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

  5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

5 0
3 years ago
Geoff must mentally multiply –5 × 0.75 × 20. Which shows how Geoff could use the associative and commutative properties to make
joja [24]

Answer:

Step-by-step explanation:

–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20).  I chose this configuration because 0.75 * 20 is 15.  Next, evaluate -5(15).  This is -75.  This matches Answer D.

4 0
3 years ago
Read 2 more answers
Jayden just graduated from college and owes $19,400 on his student loans. The
ELEN [110]

Answer:

M=19400(1.5)/1-(1+1.5)-(15x12)

M=28917.50

Then you would round up so it wo9uld be $28,918.

6 0
3 years ago
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