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3 years ago

Please help on this question

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

6912xy^8

Step-by-step explanation:

The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...

9·(3x)^1·(-2y)^8 = 6912xy^8

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Find the ratio of the volume of the triangular prism

Nutka1998 [239]

Answer:

Explanation:

ratio of volume

prism

cuboid

600

now cancel down

divide by 3

8 0

3 years ago

Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market

xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0

3 years ago

Read 2 more answers

Two angles are given<br> m m

Paul [167]

which means that:

m+m= Something.

and that something can be anything,it determines on the m+m to find out what the answer might be.

6 0

3 years ago

The base change property can help in what type of scenarios? HELP ME!!!!!

Mekhanik [1.2K]

<h3>Base Change Property</h3><h3 />

The Base Change Property is very helpful in scenarios related to simplifying equations where the logarithmic terms have a varying base.

So to solve an equation, which possesses logarithmic functions, all logarithmic terms must have a similar base.

<h3>What is Base Change Property?</h3><h3 />

This refers to the base formula which is used to write a logarithm of a number with a base that is fixed as the ratio of two logarithms both having the same base but different from the base of the initial or original logarithm.

Change of Base Formula is given as:

$log_{b} a = \frac{Log_{c} a }{Log_{c} b}$

See the link below for more about Base Change Property:

brainly.com/question/15318682

6 0

3 years ago

Given six memory partitions of 300 kb, 600 kb, 350 kb, 200 kb, 750 kb, and 125 kb (in order, how would the first-fit, best-fit,

NNADVOKAT [17]

Answer:

Step-by-step explanation:

first fit:

115 -> 300

500-> 600

358 -> 750

200 -> 350

375 -> not able to allocate

Best fit:

115 -> 125

500 -> 600

358 -> 750

200 -> 200

375 -> not able to allocate

worst fit:

115 -> 750

500 -> 600

358 -> not able to allocate

200 -> 350

375 -> not able to allocate

6 0

3 years ago

Please help on this question​

Please help on this question