If you were to solve the following system by substitution, what would be the best variable to solve fro and from what equation?

Lena [83]

2 with the remainder of 5 ((( 2r5)))

3 0

3 years ago

a student borrows $3000 at 15% for 6 months to pay tuition. find the total amount due using simple interest. total amount due af

wolverine [178]

The total amount due after a given period of time is given by the following formula:

$A=P(1+rt)$

This is for simple interest. <em>A</em> is the total amount due. <em>t</em> is the period of time, <em>r</em> is the interest rate and <em>P</em> is the initial amount borrowed.

To use the formula, <em>t</em> and <em>r</em> must have the same unit of time (both in years or both in months for example). We have the yearly rate as 15%, or well, 0.15. The period is 6 months, which will be half a year, or well, 0.5 years. With this information, we can now replace the values on the formula:

$\begin{gathered} A=3000\cdot(1+0.15\cdot0.5) \\ A=3225 \end{gathered}$

With this, the total amount due will be $3225.

Alternatively, we can first calculate the interest due with the following formula:

$I=P\cdot r\cdot t$

And add this amount to the initial amount of money borrowed to estimate the total amount due.

$\begin{gathered} I=3000\cdot0.15\cdot0.5 \\ I=225 \end{gathered}$

After six months, the student has to pay the $3000 borrowed, plus $225 of interest:

$\begin{gathered} A=3000+225 \\ A=3225 \end{gathered}$

Answer. Total amount due after 6 months: $3225.

6 0

1 year ago

Cari knows that a certain species of fish need 240 cubic feet of water in their tank.the tank has a height of 12 feet and a widt

pochemuha

The equation that can be used to find the length of the tank is 240 = l × 12 × 10

<h3>How to find the volume of rectangular prism?</h3>

The volume of a rectangular prism can be found as follows:

volume of rectangular prism = lwh

where

l = length
w = width
h = height

Therefore,

volume of rectangular prism = lwh

volume of rectangular prism = 240 ft³

h = 12 ft

w = 10 ft

Therefore, the let's find the length of the tank.

240 = l × 12 × 10

240 = 120l

divide both sides by 120

l = 240 / 120

l = 2

learn more on volume here:brainly.com/question/21308574

#SPJ1

8 0

1 year ago

Ten less than the prouduct of six and a number is 32. which equation would help you find the number

OlgaM077 [116]

Answer:

6x-10 =32

Step-by-step explanation:

Let the number be x

the product of 6 and a number

6x

ten less than

6x-10

That is equal to 32

6x-10 =32

3 0

3 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago