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3 years ago

12 9/150 as a decimal?

1 answer:

7 0

$12 \frac{9}{150}=12 \frac{9 \div 3}{150 \div 3}=12 \frac{3}{50}=12\frac{3 \times 2}{50 \times 2}=12 \frac{6}{100}=\boxed{12.06}$

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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

Prove x²+y² = (x+y) (x-y)

gtnhenbr [62]

Answer:

(x+y)(x-y)

x^2 - xy + xy - y^2

x^2 - y^2

7 0

2 years ago

Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.

kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

$a=\sqrt{a}\times \sqrt{a}$

The given algebraic equation in the problem is,

$(x+ 9)^2 = 25$

Take the square root, in both sides,

$\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}$

Cancel out the square root with the square of the number as,

$(x+9)=\pm5\\$

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

Learn more about the square root of number here;

brainly.com/question/664132

7 0

3 years ago

Choosing a bicycle with or without shock absorbers with or without lights and 5 color choices

VLD [36.1K]

Answer:with shock absorbers with light red yellow black grey orange

Step-by-step explanation:please give brainliest

5 0

2 years ago

Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they

anzhelika [568]

Answer:

A. Positive

Step-by-step explanation:

They ask us about the relationship between reading and grades.

First you have to go to the first part of the statement that says:

"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"

In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.

Performance is your grades, and home study can be reading, so the score is positive in the second half, too.

3 0

3 years ago