Two savings accounts earn simple interest. Account A has a beginning balance of $500 and grows by $25 per year. Account B has a beginning balance of $750 and grows by $15 per year.

Answers

Answer 1
Answer:

Answer:

After 25 years both the accounts will have the same balance.

Step-by-step explanation:

Let t years, both the account will have the same balance.

As account A has a beginning balance of $500 and grows by $25 per year.

So, the total balance of account A after t years = 500+25t

Similarly, account B has a beginning balance of $750 and grows by $15 per year.

So, the total balance of account A after t years = 750+15t

As both the accounts has the same balance, so

500+25t= 750+15t

25t-15t=750-500

10t=250

t=250/10

t=25 years

Hence, after 25 years both the accounts will have the same balance.


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You pay $3.00 to play. The dealer deals you one card. If it is a spade, you get $10. If it is anything else,you lose your money. Is this game fair?

Answers

The game is fair in the sense that the expected value is not negative.

What is expected value?

The expected value serves as a gauge for a random variable's typical value. It is determined by multiplying each of the variables' potential outcomes by its corresponding probability, then adding the resulting products. In order to comprehend the typical outcome of a random process and determine if a given course of action is likely to be lucrative or not, the expected value is a valuable tool in decision-making.

The probability of getting a spade is 13/52 or 1/4.

The probability of getting anything else is 3/4.

he expected value of playing the game can be calculated as:

Expected value = (probability of winning x amount won) - (probability of losing x amount lost)

Expected value = (1/4 x $10) - (3/4 x $3)

Expected value = $2.50 - $2.25

Expected value = $0.25

Since the expected value is positive, this means that on average, you can expect to win $0.25 for every time you play the game.

Hence, game is fair in the sense that the expected value is not negative.

Learn more about expected value here:

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What is the equation for a line that passes through the points (-5,-4) and (10,14)?

Answers

Answer:

y=6/5x+2

Step-by-step explanation:

1.find the slope(m)

m=y2-y1/x2-x1

m=14-(-4)/10-(-5)

m=14+4/10+5

m=18/15

m=6/5

y-y1=m(x-x1)

y-(-4)=6/5(x-(-5))

y+4=6/5(x+5)

y+4=6/5x+30/5

y=6/5x+30/5-4

y=6/5x+10/5

y=6/5x+2

The sum of two numbers is 55 and the difference is 13 . What are the numbers?

Answers

21 and 34 are the numbers
The numbers are 21 and 34 because when you add them its 55 and subtract them its 13

Pls help
Pls help
Pls gelp

Answers

Answer:

Step-by-step explanation:

Is y=-2+5x a function

Answers

Answer:

No

Step-by-step explanation:

Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.

if there are 26 students in each third-grade class and 3 third grade classes in the school, how many students will attend an assembly for third graders if total of 4 student's are absent

Answers

Answer: There are 74 students of third grade attend an assembly .

Step-by-step explanation:

The number of students in third grade classes = 26

The number of third classes in the school = 3

Therefore, the total number of students of third grade in the school =3*26=78

Now, it 4 students are absent then the number of third grade students in the school = 78-4=74

Hence, there are 74 students of third grade attend an assembly .

there will be 74 students