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2 years ago

Two lines, A and B, are represented by the following equations:

Mathematics

2 answers:

borishaifa [10]2 years ago

7 0

Answer:

The answer is B! if you want to do more of these problems may I recommend using Desmos?

lbvjy [14]2 years ago

6 0

Answer:

It is (2, 2).

Step-by-step explanation:

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The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

algol [13]

Th first answer
F = 9 over 5 C + 32

5 0

2 years ago

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Help with number 1!! And also 1 week= 5 days in this exercise okay!

KatRina [158]

Each student collects $1 per week.
There are 24 students, so combined, they collect $24 per week.
The time irt takes to collect $1500 is

$1500/$24 = 62.5

Answer 62.5 weeks, or if you need a whole number, 63 weeks.

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3 years ago

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that

Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

$P(A\cap B)=P(A).P(B)$

Now, According to question , we can get that

$P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}$

So,

$P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}$

So, by using the conditional probability , which state that

$P(B\mid A)=\frac{P(A\cap B)}{P(A)}$

$P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}$

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

4 0

3 years ago

Suppose you want to have $300,000 for retirement in 25 years. Your account earns 8% interest. How much would you need to deposit

Rus_ich [418]

Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right]$

1099.12P = 300000

P = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

More can be learned about the future value formula at brainly.com/question/24703884

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4 0

1 year ago

Which is a true statement about the system of equations graphed below? answer correctly pleasee!!

AleksandrR [38]

Answer:

The top one, as they are not parallen so they will eventually meet

Step-by-step explanation:

6 0

1 year ago

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