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vovangra [49]
3 years ago
13

Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He pai

d for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

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A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its record
faltersainse [42]

Answer:

The right answer is "1.818".

Step-by-step explanation:

The given values are:

a = 0.1

\bar{x} = 94

\mu = 90

Now,

The test statistic will be:

⇒  t=\frac{\bar{x}-\mu}{\frac{s}{vn} }

On substituting the given values, we get

⇒     =\frac{94-90}{\frac{22}{10} }

⇒     =\frac{4}{2.2}

⇒     =1.818

4 0
3 years ago
For 9 and 9A, find the slope of the line​
djverab [1.8K]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1}) and (x_ {2}, y_ {2}) are two points through which the line passes.

Question 1:

According to the image, we have the following points:

(x_ {1}, y_ {1}) :( 2, -6)\\(x_ {2}, y_ {2}): (- 6,5)

Substituting we have:

m = \frac {5 - (- 6)} {- 6-2} = \frac {5 + 6} {- 8} = \frac {11} {- 8} = - \frac {11} {8}

Thus, the slope is: - \frac {11} {8}

Question 2:

According to the image, the line goes through the following points:

(x_ {1}, y_ {1}): (- 1,2)\\(x_ {2}, y_ {2}) :( 2, -2)

Substituting we have:

m = \frac {-2-2} {2 - (- 1)} = \frac {-4} {2 + 1} = \frac {-4} {3} = - \frac {4} {3}

Thus, the slope is: - \frac {4} {3}

Answer:

Slope 1: - \frac {11} {8}

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We can multiple this binomial and this trinomial to find an equivalent expression.

(x + 4)(3x^2 + 2x)

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Combine like terms.

3x^3 + 14x^2 + 8x is the equivalent polynomial.

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3 years ago
Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri
BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

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Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that p = 0.25

Three children:

This means that n = 3

Question a:

This is P(X = 3). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

p = 0.75*0.75*0.25 = 0.1406

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hodyreva [135]

Answer:

x= 9/10

Step-by-step explanation:


6 0
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