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3 years ago

HURRY PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Answer: The Person above is right....Credit goes to that person :)

It is 13

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

4 years ago

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x- coordinate o

NISA [10]

Answer: Its 9

Thats the answer

5 0

3 years ago

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give

Andre45 [30]

Answer:

Growth
22%

Step-by-step explanation:

Given function:

$P(t) = 400(1.22)^{t}$

Initial population size is when t = 0

P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0

3 years ago

Which of the following relations is not a function?

goblinko [34]

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

7 0

3 years ago

Liam invests £8000 in a savings account for 4 years. The savings account pays compound interest at a rate of: 4.5 % for the firs

madam [21]

Answer:

The value of Liam's investment at the end of 4 years is £9069.764

Step-by-step explanation:

Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest of previous periods of an investment.

We multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest.

4.5% in the first year;

4.5/100 = 0.045

(1 + 0.045) × 8000 =

1.045 × 8000 = £8360.

2.75% for all subsequent year;

2.75/100 = 0.0275

1 + 0.0275=1.0275

Number of years is;

4-1=3years

Therefore,

8360 × (1.0275)^3 =

8360 × 1.0849 = £9069.764

3 0

3 years ago

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