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2 years ago

Help me and show your work.

Mathematics

1 answer:

astraxan [27]2 years ago

7 0

Answer:

x = 5/6

Step-by-step explanation:

From the question, we are told that the value of the perimeter equals the value of the area

mathematically, the area of a rectangle is the product of its side lengths

we have this as;

5 * 4x = 20x

The formula for the perimeter is;

P = 2(l + b)

P = 2(5 + 4x)

So we equate this to the area above

20x = 2(5 + 4x)

20x/2 = 5 + 4x

10x = 5 + 4x

10x - 4x = 5

6x = 5

x = 5/6

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After losing your job, and needing cash fast, you decide to try

ra1l [238]

Given:

The principal = $ 4000

The rate of interest = 22 %

To find the loan amount a) after 1 year and b) after 3 years.

Formula

Loan amount is

$A = P(1+\frac{r}{100} )^{t}$

where,

A be the loan amount

P be the principal

r be the rate of interest and

t be the time.

Now,

a) Taking, P = 4000, r = 22, t = 1 we get,

$A = 4000 (1+\frac{22}{100} )^{1}$

or, $A = 4880$

Again,

b) Taking, P = 4000, r = 22 and t = 4 w eget,

$A = 4000(1+\frac{22}{100})^{4}$

$or, A = 7263.39$

Hence,

a) The amount of loan after 1 year is $ 4880

and b) The amount of loan after 4 year is $ 7263.39.

8 0

2 years ago

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

maxonik [38]

ANSWER

$y + 5= - \frac{9}{11} (x-3)$

or

$y - 4= - \frac{9}{11} (x + 8)$

EXPLANATION

We want to find the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4).

The point-slope form is given by;

$y-y_1=m(x-x_1)$

where

$m = \frac{4 - - 5}{ - 8 - 3} = \frac{4 + 5}{ - 11} = - \frac{9}{11}$

is the slope of the line.

If

$(x_1,y_1)=(3,-5)$

The point-slope form is

$y + 5= - \frac{9}{11} (x-3)$

On the other hand, if
$(x_1,y_1)=( - 8,4)$

Then the point-slope form is,

$y - 4= - \frac{9}{11} (x + 8)$

These two equations are the same when simplified.

4 0

2 years ago

What function do you know from calculus is such that its first derivative is itself? (Do not use the function f(x) = 0.) f(x) =

Pie

Answer:

ex is the function whose first derivative is itself and Y' = Y is the differential equation

Step-by-step explanation:

The steps is shown in the attachment.

3 0

3 years ago

20. The top layer of a circular wedding cake has a

Alex73 [517]

<u>Answer:</u>

4 times

<u>Explanation:</u>

tc = 15×π = 47.12.. in

bc = 2×30×π = 188.49.. in

bc = 188.5/47.12 = 4 times

6 0

2 years ago

Whoever’s correct i will make their question as brainliest! :) be quick please

Dvinal [7]

Correct answer is 6x^8 y^5 hope it helps

8 0

2 years ago