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34kurt
2 years ago
11

Solve the system using substitution 4x+3y=23 x-5=0

Mathematics
1 answer:
iragen [17]2 years ago
3 0

Answer:

y=1, x=5

Step-by-step explanation:

Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5

Now we have a value for x, so plug x into the original equation,

4(5)+3y=23,

20+3y=23

Subtract both sides by 20

20-20+3y=23-20

3y=3

dvide both sides by 3

y=1

use the value for x we got earlier

y=1, x=5

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Answer:

A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.

Step-by-step explanation:

An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.

An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.

In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.

The probability of X = 2 or 4 is given by P (X=2) or  P (X=4) symbollically.

So A is the best choice.

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3 years ago
The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an
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Answer:

The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

FV=PV[1+\frac{r}{100}]^{n}

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r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}

The future value is:

FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27

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