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3 years ago

If we have six decisions to make and 2 choices for each decision, how can we represent the number of potential outcomes?

Mathematics

2 answers:

Rudiy273 years ago

7 0

Answer:

Step-by-step explanation:

because for each 6 you have 2

Tamiku [17]3 years ago

6 0

The correct answer is D.

2^6

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Use intercepts to graph -7x-2y=-21

NISA [10]

Answer: -7/2

Step-by-step explanation:

8 0

3 years ago

Find the slope intercept form for the equation of the line which passes through the point (-4,-14) and has a slope of 1

Fudgin [204]

Use point slope form to answer this
Y = x - 10

5 0

3 years ago

A computer system is priced at $3200. A man buys

max2010maxim [7]

(i) Monthly installment is $21.53 approximately.

(ii) Total amount man has to pay is $3716.8

(iii) Extra money he had to pay for buying the computer on hire is $516.8

Given,

Initial price of the computer(p) = $3200

Down payment = $480

Time period = 2 yrs

rate percent = 9.5%

(i) Monthly installment = ?

monthly installment =(capital amount × interest rate)/time in months

down payment to be paid = 3200 ₋ 480

= 2720

therefore, monthly payment = 2720 × 9.5 × 1/ 12

= $21.53

(ii) Total amount man has to pay = ?

= down payment ₊ remaining amount ₊ (remaining amount × t × r)

= 480 ₊ 2720 ₊ 2720 × 9.5 × 2

= $3716.8

(iii) If he buys the computer on hire then how much more he has to pay = ?

= total amount ₋ initial cost

= 3716.8 ₋ 3200

= $516.8

Hence the man has to pay $21.23 as a monthly installment, $3716.8 as a total cost of the computer system and $516.8 as an extra amount if he buys it on hire.

Learn more about "Interest rate problems" here-

brainly.com/question/2151013

#SPJ10

7 0

2 years ago

Read 2 more answers

Solve for the base. Round to hundredths when necessary.

Elena-2011 [213]

Answer:

2730.54
18.8%
62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

rate = portion/base

so ...

base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

3. The decrease can be figured from ...

rate of change = (new amount)/(original) -1 = 33/88 -1

= -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.

6 0

3 years ago

Evaluate the limit as x approaches 0 of (1 - x^(sin(x)))/(x*log(x))

e-lub [12.9K]

$sin~ x \approx x ~ ~\sf{as}~~ x \rightarrow 0$

We can replace sin x with x anywhere in the limit as long as x approaches 0.

Also,

$\large \lim_{ x \to 0 } ~ x^x = 1$

I will make the assumption that log(x)=ln(x).

The limit result can be proven if the base of log(x) is 10.

$\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x \log x } \\~\\ \large = \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{ \log( x^x) } \\~\\ \large = \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x) } ~~ \normalsize{\text{ substituting x for sin x } } \\~\\ \large = \frac{\lim_{x \to 0^{+}} (1) - \lim_{x \to 0^{+}} \left( x^{x}\right) }{ \log( \lim_{x \to 0^{+}}x^x) } = \frac{1-1}{\log(1)} = \frac{0}{0}$

We get the indeterminate form 0/0, so we have to use Lhopitals rule

 $\large \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x) } =_{LH} \lim_{x \to 0^{+}} \frac{0 -x^x( 1 + \log (x)) }{1 + \log (x) } \\ = \large \lim_{x \to 0^{+}} (-x^x) = \large - \lim_{x \to 0^{+}} (x^x) = -1$

Therefore,

 $\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x \log x } =\boxed{ -1}$

3 0

3 years ago