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HACTEHA [7]
3 years ago
14

Simplify the expression: #24

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

5

Step-by-step explanation:

e^ ln (5)

We know that e ^ ln are opposites of each other and cancel

We are left with 5

5

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Find the product: (x² - x + 1)(2x² + 3x + 2).
Tresset [83]

Answer:

(2x^3-2x^2-12x) is the required product.

Step-by-step explanation:

The given equation is:

2x(x-3)(x+2)

Solving the above given equation, we get

=(2x^2-6x)(x+2)

which can be written as:

=(2x^3-6x^2+4x^2-12x)

Solving the like terms, we get

=(2x^3-2x^2-12x)

which is the required product of the given expression.

3 0
3 years ago
50 POINTS!
photoshop1234 [79]

Answer:

9.4

Step-by-step explanation:

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4 0
2 years ago
In ▵ABC, if m∠A=80 degree, then m∠c cannot be
Aloiza [94]

Answer:

95

Step-by-step explanation:

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7 0
3 years ago
Please help, its urgent. (Question Below)
rusak2 [61]

The highest common factor of the numbers 210 and 308 is 4.

<h3>What is the highest common factor?</h3>

The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.

The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-

308   =  2 x  2   x  7  x  11

210   =  2  x  2   x  3  x  17

We can see that the 2  x  2  =  4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.

Therefore the highest common factor of the numbers 210 and 308 is 4.

To know more about HCF follow

brainly.com/question/219464

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4 0
2 years ago
On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
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