Answer: Rational
Explanation: Integers are positive and negative whole numbers. However, we can also have positive and negative fractions and decimals. These positive and negative fractions and decimals are not members of the set of integers. They are rational numbers
Hope this helps!
First, let's find the solution.
-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3
4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1
y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.
The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
<h3>Interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum</h3>
<em><u>Solution:</u></em>
Given that,
Antonio wants to invest $7600 in a saving account
Antonio’s investment to double in value in 12 years
To find: Rate of interest
<em><u>The total amount using simple interest is given as:</u></em>

Where,
p is the principal
r is the rate of interest
t is the number of years
From given,
p = 7600
t = 12 years
r = ?
Antonio’s investment to double
Therefore,
A = 2(7600) = 15200
<em><u>Substituting the values we get,</u></em>


Thus interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum
Answer:
P-value = 0.0367
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the percentage of residents who favor construction is significantly over 42%.
Then, the null and alternative hypothesis are:

The sample has a size n=900.
The sample proportion is p=0.45.
The standard error of the proportion is:

Then, we can calculate the z-statistic as:

This test is a right-tailed test, so the P-value for this test is calculated as:
