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3 years ago

Solve for y. y - 3x = 1

Mathematics

2 answers:

Burka [1]3 years ago

5 0

Answer:

y = 1 + 3x

Step-by-step explanation:

You move everything from the the side with what you are trying to solve to the other side.

Because you have both x and y this is the simplest form.

Marat540 [252]3 years ago

4 0

Answer:

Original equation: y-3x=1

Add 3x to both sides, which would isolate y: y=3x+1

Let me know if this helps!

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Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym

yaroslaw [1]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

a)

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) If the deposit is at the beginning of the month, the interest is compounded one more period. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

3 0

3 years ago

Suppose the 13 inch is aware cost $.78 at the same rate how much (in cents) will 33 inches of wire cost

miskamm [114]

When comparing to thing with same rate, set up a proportion:
Inches/cost

13/.78=33/x
(13)(x)=(.78)(33) [cross multiplied]
13x=25.74 [simplified]
13/13x=25.74/13 [division property]
x=1.98

33 inches of wire will cost $1.98.

3 0

3 years ago

The area of a semicircle is A=1/2(3.14)r^2 solve for r

Inessa05 [86]

First divide bot sides of the formula by 1/2(3.14):-

2A / 3.14 = r^2

r = sqrt (2A/3.14)

7 0

3 years ago

I need help on this question, not to good with graph. Anybody help pleaseee!!

LenKa [72]

y = -3x - 2

Since a < 0 we have a decreasing line, so it can be only the first or the last

And if we solve the equation for y = 0 we have

0 = -3x - 2

3x = -2

x = -2/3

So, the last one is the right

3 0

3 years ago

You have two parents, four grandparents, eight greatgrandparents, and so forth.

Leviafan [203]

A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or $2^{2}$ ancestors.
In the third generation we have 8 ancestors ot $2^{3}$ ancestors.

We can see that each succesive generation has two times more members. The sum is:
$2+4+8+16+...+ 2^{40}$

To calculate number of ancestors we can use formula for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
 $S= a_{1} * \frac{1- r^{n} }{1-r}$
Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
 $S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550$

b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = $10^{10}$
Number of ancestors in 40 generations = $2.2*10^{12}$

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.

8 0

3 years ago