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2 years ago

6

A quotient is considered rationalized if its denominator contains no

1 answer:

FinnZ [79.3K]2 years ago

4 0

Answer:

radicals or complex numbers

Step-by-step explanation:

A "rationalized" denominator consists entirely of a real number or variable expression with real coefficients. Preferably, any number(s) will be integer(s).

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. A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What is the monthly

vovikov84 [41]

Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83

8 0

2 years ago

Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?

Mandarinka [93]

Answer:

25%

Step-by-step explanation:

4 0

1 year ago

What is 528−−√+63−−√528+63 in simplest radical form?

Montano1993 [528]

Answer: $13\sqrt{7}$

Step-by-step explanation:

In the simple radical form there are no square root is remain to find.

Since, the given expression,

$5\sqrt{28} + \sqrt{63}$

$5\sqrt{4\times 7} + \sqrt{9\times 7}$

$5\sqrt{4} \times \sqrt{7} + \sqrt{9}\times \sqrt{7}$

$5\times 2 \times \sqrt{7} + 3\times \sqrt{7}$

$10 \sqrt{7} + 3\sqrt{7}$

$(10 + 3)\sqrt{7}$

$13\sqrt{7}$

Since, we do not need to find further square root of 7.

Thus, the required radical form of $5\sqrt{28} + \sqrt{63}$ is $13\sqrt{7}$ .

6 0

2 years ago

Read 2 more answers

There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the

RSB [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of boys

y -----> the number of girls

$x-y \leq 5$

$y \geq x-5$ ----->inequality A

The solution of the inequality A is the shaded area above the solid line $y=x-5$

The slope of the solid line is positive

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (5,0)

$x+y >4$ -----> equation B

The solution of the inequality B is the shaded area above the dashed line $y=-x+4$

The slope of the dashed line is negative

The y-intercept of the solid line is (0,4)

The x-intercept of the solid line is (4,0)

using a graphing tool

the solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

4 0

1 year ago

Read 2 more answers

Last weekend, Lena worked 7.5 hours on Friday, 9.75 hours on Saturday, and 6.25 hours on Sunday.

Gemiola [76]

Answer:202.1

Step-by-step explanation:

Add all the days she worked up (7.5+9.75+6.25) =23.5

Now simply just multiply it with 8.60 and you get your answer

Hope this helps :)

3 0

2 years ago