All categories

1 year ago

Please assist me with these multiple choice problems

Mathematics

1 answer:

Mademuasel [1]1 year ago

4 0

9514 1404 393

Answer:

12. C

13. D

Step-by-step explanation:

12. For interest r on principal P compounded n times per year for t years, the account balance is ...

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

For P=800, r=0.05, n=365, t=6, this becomes ...

A = 800(1 +0.05/365)^2190 . . . . matches choice C

Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.

13. The form of an exponential function is ...

y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor

The form of the equation eliminates choices A and B.

Here, the initial value is 1.87, eliminating choice C.

Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.

You might be interested in

Find all solutions to each quadratic equation

romanna [79]

I hope this helps you

2x^2-4x+7=0 a=2 b=-4 c= 7

disctirminant =b^2-4ac

disctirminant =(-4)^2-4.2.7

disctirminant = 16-56= -40

x=-b+square root of disctirminant ÷2a

x=4+2square root of (-10)/4

x=2+square root of (-10)/2

x'=4 -2 square root of (-10)/4

x'=2 -square root of (-10)/2

6 0

2 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0

2 years ago

The width of a rectangle is 7 less than the length. If the perimeter of the rectangle is 43.6 inches, what is the area of the re

Lera25 [3.4K]

Call the length a, the width b

Perimeter = (a+b) x 2

And since we have (a+b) x 2 = 43.6, a + b = 43.6 : 2 = 21.8

a + b = 21.8
a - b = 7

-> a + b + (a - b) = 28.8
2a = 28.8
a = 14.4
b = 7.4

So, the area of the rectangle is 14.4 x 7.4 = 106.56

8 0

1 year ago

Simplify this question:

stiks02 [169]

Answer: 7n - 13

Step-by-step explanation:

Apply the distributive property.

4n + 3n + 3 ⋅ -5 + 2

Multiply 3 by -5

4n + 3n - 15 + 2

Add 4n and 3n

7n - 15 + 2

Add - 15 and 2

7n - 13

hope this helps :)

4 0

1 year ago

Read 2 more answers

If y varies directly with x and y is 18 when x is 6, which of the following represents this situation?

Zolol [24]

Y=18
x=6

following since they vary directly it would be in
y=mx form

18=m(6)
6*3=18

your answer is y=3x

8 0

2 years ago

Please assist me with these multiple choice problems​

Please assist me with these multiple choice problems