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2 years ago

When the following quadratic equation is written in standard form, what is the value of "c"?

Mathematics

1 answer:

Nikolay [14]2 years ago

7 0

Answer:

Then value is 2

Step-by-step explanation:

standard of quadratic is A $x^{2}$ +Bx+C=0

and 2 is where C is.

sorry for the bad explanation but, trust me I did this type of question in class yesterday

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A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo

Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0

3 years ago

What is the slope of this graph

Alborosie

It would be 1/5 because the line is going in a positive direction and all you have to do is pick to points and do rise/run

3 0

2 years ago

Read 2 more answers

BRAINLIEST to correct answer!!

Len [333]

They are equally spaced so all the circles share the same center point.

4 0

2 years ago

Read 2 more answers

Select the correct description of the graph of the inequality: I > 3.5

Norma-Jean [14]

Answer:

gfygou

Step-by-step explanation:

4 0

2 years ago

Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison

Gala2k [10]

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

P(A') = 1 - P(A)

= 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

P(A'/G) = $\frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}$

= $\frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}$

= $\frac{0.3025}{0.4825}$

= <u>0.63</u>

6 0

3 years ago