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2 years ago

Complete the square 4y^2+x+8y+1=0

1 answer:

4 0

Answer: Simple and best practice solution for 4y^2+8y+1=0 equation. ... Begin completing the square. ... Square it (1) and add it to both sides.

Step-by-step explanation: Complete the square for x2+2x x 2 + 2 x.

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If there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices, about w

Liula [17]

32.5 % of lab are wireless devices

<em><u>Solution:</u></em>

Given that there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices

Now we can first find out total number of computers and devices in lab

total number of computers and devices in lab = 30 computers - 3 + 13 wireless devices

total number of computers and devices in lab = 30 - 3 + 13 = 40

So there are 40 computers and wireless devices in lab

<em><u>To find: what percent of the lab are wireless devices</u></em>

So we have to find what percent of 40 is 13

Let "a" be the required percent

a % of 40 = 13

$\frac{a}{100} \times 40 = 13\\\\a = \frac{13 \times 100}{40}\\\\a = 32.5$

32.5 % of of lab are wireless devices

6 0

3 years ago

An open-top box is being designed by cutting a corner piece out of a 16" by 14" piece of metal and folding the sides upwards. Th

Aleksandr-060686 [28]

Answer:

The strip of 16 by 14 inches.

Let x be the corner of the square cut

Then the box would have height as x, length 16-2x and width 14-2x

Hence volume =

Use derivative to test to find x for maximum volume

V'(x) =

v"(x) =

Equate first derivative to 0

Solutions are

x= 2.483 and x = 7.517

Practically cutting more than 7 inches is not possible from 14 inches dimention

Hence 2.483 is the side of square and maximum volume

= 247.508

Step-by-step explanation:

Hope this helps!

7 0

3 years ago

Chris invests $20,000 into a savings account that accrues 5.2% interest compounded semiannually. What is the balance of Chris' a

il63 [147K]

The amount to be paid after 3 years is $23,329.97.

<h3>What is Compound Interest?</h3>

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given:

P= 20,000

r= 5.2%

t= 3 years

r = R/100

r = 5.2/100

r = 0.052 rate per year,

Now, solve for A

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