Answer:
8
Step-by-step explanation:
To find the mean, add all the numbers together and divide by the amount of numbers there are.
(3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20)/10 = answer
Simplify. First, solve the parenthesis, then divide.
(80)/10 = answer
8 = answer
8 is the mean of the data set.
~
On a number line of whole integers -1.5 falls between -2 and -1
we are given

We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6

now, we will check each terms
At x=-2:
We can use synthetic division
we get

so, x+2 will be factor
and we can write our expression from synthetic division as


now, we can find factor of remaining terms

we can use quadratic formula


we can compare our equation with quadratic equation
we get

now, we can plug these values




so, we get

so, we can write factor as

so, we get completely factored form as
...............Answer
Answer:
a. $1251.5
b. $1254.64
c. 15.4 years
d. 30.56 years
Step-by-step explanation:
Given the information:
- Principle (P) = $800
- Interest = 4.5%
As we know, the formula to find the future value of Jackie deposit with interest is compounded monthly, quaterly, ..is
where:
- P = initial balance
- r = interest rate (decimal)
- n = number of times compounded annually
- t = time
Hence:
a. If the interest is compounded quarterly how much money will Jackie have in 10 years?
<=>
<=> A = $1251.5
d. If Jackie's money is compounded monthly, how long will it take her money to triple?
<=>
<=>
<=>
<=> t = 30.56 years
As we know, the formula to find the future value of Jackie deposit with interest is compounded continuously
A = P*
where e is the mathematical constant approximated as 2.7183.
b. If the interest is compounded continuously how much money will Jackie have in 10 years?
<=> A = 800*
<=> A = $1254.64
C. If Jackie's money is compounded continuously, how long will it take her money to double?
<=> P*
= 2*800
<=> 800*
= 1600
<=>
= 2
<=> t = 15.4 years