Answer:
5.4 is rational. 5.4 divide by 2 is 2.45 5.3 and 5 3 are irrational, as it cant be divided easily
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
Answer:
6
Step-by-step explanation:
(g × f)(x) = g(x) × f(x) = x²(- x + 5)
To evaluate (g × f)(- 1) substitute x = - 1 into the product
x²(- x + 5)
= (- 1)²(- (- 1) + 5)
= 1(1 + 5)
= 1 × 6 = 6