What is this expression in simplified form? ( 6 square root 2) (-3 square root 5)

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Step-by-step explanation:

$- 18 \sqrt{10}$

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A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had

ladessa [460]

Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>

4 0

3 years ago

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

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2 years ago

How many coefficients are in 5z squared +16

Viktor [21]

5z^2 + 16

a coefficient is a number multiplied by a variable (a letter). so there is only ONE coefficient in this expression and it is 5.

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3 years ago

Which expressions equivalent to 3^128x

enot [183]

It is 8x<span>√<span>2<span>x i hope this helps if not my bad.</span></span></span>

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3 years ago

Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no oth

OleMash [197]

To find the fee for three weeks, we need to multiply the fee for one week by 3.
7.50 * 3 = 22.5
Subtract:
305 - 22.5 = 282.5
Javier will have $282.50

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3 years ago