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3 years ago

What is x-y=-5 in slope intercept form

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Answer:

y = x + 5

Step-by-step explanation:

x - y = - 5

-y = -x - 5

-(-y = - x - 5)

y = x + 5

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4(2.25w+3.1)-2.75w=44.9

Evgen [1.6K]

Answer:

w = 5.2

Step-by-step explanation:

4(2.25w + 3.1) - 2.75w = 44.9

9w + 12.4 - 2.75w = 44.9

6.25w + 12.4 = 44.9

6.25w = 32.5

w = 5.2

6 0

3 years ago

Read 2 more answers

Need it solved correctly for khan academy

RUDIKE [14]

The tiger population loses 3/5 of its size every 2.94 decades

<h3>Rate of change using differential calculus</h3>

The given equation is:

$N(t)=710(\frac{8}{125} )^t$

Find the derivative of the given function

$\frac{dN}{dt} =710(0.064)^tln(0.064)\\\\\frac{dN}{dt} =-1951.7(0.064)^t$

When the tiger loses 3/5 of its population

dN/dt = 3/5

Solve for t

$\frac{3}{5} =-1951.7(0.064)^t\\\\-0.0003=(0.064)^t$

Take the natural logarithm of both sides

$ln(-0.0003)=t(ln0.064)\\\\-8.087=-2.75t\\\\t=\frac{-8.087}{-2.75} \\\\t=2.94$

The tiger population loses 3/5 of its size every 2.94 decades

Learn more on rate of change using calculus here: brainly.com/question/96116

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6 0

2 years ago

Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

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6 0

2 years ago

The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the

Arisa [49]

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9

6 0

3 years ago

. Evaluate 8^0 helppp please

qwelly [4]

Answer:

Step-by-step explanation:

${8}^{0} = 1 \\$

Any number raised to zero is always equal to one.

6 0

3 years ago