All categories

1 year ago

Solve the literal equation for the indicated variable. Show your work. P=2(l+w) for l.

Mathematics

1 answer:

Norma-Jean [14]1 year ago

3 0

Answer:

l = P/2 -w

Step-by-step explanation:

P=2(l+w)

Divide each side by 2

P/2 = 2(l+w)/2

P/2 = l+w

Subtract w from each side

P/2 -w = l+w-w

P/2 -w =l

You might be interested in

A campground rents bicycles by the hour. The total cost y to rent a bicycle, including deposit, is presented by the function y=1

Bogdan [553]

The function is discrete, as the fee is charged based on the hours

3 0

2 years ago

Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per ye

Oksanka [162]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 63000

r = 2.55% = 2.55/100 = 0.0255

n = 12 because it was compounded 12 times in a year.

Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is

C(t) = 63000(1 + 0.0255/12)^12t

C(t) = 63000(1.002125)^12t

For C(t) = 100000,

100000 = 63000(1.002125)^12t

100000/63000 = (1.002125)^12t

1.587 = 1.002125)^12t

Taking log of both sides

Log 1.587 = log 1.002125)^12t

Log 1.587 = 12tlog 1.002125)^

0.2005 = 12t × 0.00092

0.2005 = t × 0.01104

t = 0.2005/0.01104

t = 18.16 years

5 0

3 years ago

The sum of two numbers is -25. One number is 101 less than the other. Find the numbers

zlopas [31]

Answer:

-63, 38

Step-by-step explanation:

1st number = x

2nd number = x+101

x+x+101=-25

2x=-126

x=-63

1st number = x = -63

2nd number = x+101 = 38

6 0

2 years ago

Read 2 more answers

Segment BD is an altitude of triangle ABC. Find the area of the triangle. Triangle ABC with altitude BD is shown. Point A is at

pogonyaev

Where's the "triangle with alt. BD?" This problem can be solved without the diagram, but the solution would be easier with it.

BD is the altitude. Find the length of BD by finding the dist. between (-1,4) and (2,4); it is 2-(-1), or 3. |BD| = 3.

I've graphed the triangle myself and have found that the "base" of the triangle is the vertical line thru (2,1) and (2,6); its length is 6-1, or 5.

Thus, the area of this triangle is A = (b)(h) / 2, or A = (5)(3) / 2 = 10/3 square inches.

7 0

2 years ago

Read 2 more answers

An isosceles triangle has a base 9.2 units long. If the congruent side lengths have measures to the first decimal place, what is

Nadusha1986 [10]

Question:

An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7

Answer:

4.9 is the shortest possible length of the sides.

Step-by-step explanation:

Given:

The base of the triangle base = 9.2 units

To Find:

The shortest possible length of the sides = ?

Solution:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So According to the theorem

$x+x > 9.6$