All categories

1 year ago

Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for

Mathematics

1 answer:

Talja [164]1 year ago

3 0

Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

You might be interested in

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the per

SVEN [57.7K]

Answer:

The percent decrease is approximately $10.75\%$

(Don't know what you are expected to round to.)

Step-by-step explanation:

Percent change can be calculated by doing:

$\frac{\text{original}-\text{new}}{\text{original}}$

Then you multiply the result to covert it to a percentage.

Let's use this formula:

$\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}$

$\frac{\text{thousand}}{\text{thousand}} \cdot \frac{5831-5204}{5831}$

$\frac{5831-5204}{5831}$

$\frac{627}{5831}$

$0.1075$ approximately

Now the answer as a percent is $10.75\%$ approximately.

The percent decrease is approximately $10.75\%$

3 0

3 years ago

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

No singular point due to the exponent in the solution

The interval is $-\infty$

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Find the volume ( b= 10 cm , w= 12 cm , h= 12 cm ) A. 480 B. 144 C. 240 D. 1440

vova2212 [387]

Answer:

D.1440

Step-by-step explanation:

V=lxwxh

10x12x12

1440

8 0

2 years ago

Read 2 more answers

Rewrite the linear equation in slope-intercept form.

Serhud [2]

Slope intercept: y=-3/4x+2

3 0

2 years ago

1.) Find the value of the discriminant and the the number of real solutions of

ruslelena [56]

Hi there!

When we have an equation standard form...
$a {x}^{2} + bx + c = 0$
...the formula of the discriminant is
D = b^2 - 4ac

When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions

1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0

Plug in the values from the equation into the formula of the discriminant

$( - 8) {}^{2} - 4 \times 1 \times 7 = 64 - 28 = 36$

D > 0 and therefore we have two real solutions.

2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0

Again, plug in the values from the equation into the formula of the discriminant.

${4}^{2} - 4 \times 2 \times 2 = 16 - 16 = 0$

D = 0 and therefore we have one real solution.

~ Hope this helps you.

4 0

2 years ago

Read 2 more answers