Answer:
103
Step-by-step explanation:
simplify to 81 + 27 - 5
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
Answer:
y = 2x + 1
Step-by-step explanation:
first find slops
(9-5)/(6-4) = 4/2 = 2 = m
y = mx + b
5 = 2(2) + b
1 = b
y = 2x + 1
Answer:
Option D is correct
Step-by-step explanation:
The options for the question is
a)cluster sample
b)convenience sample
c)simple random sample
d)stratified random sample
e)systematic random sample
Solution
The sampling here comprises of students from all the major of college. Here the major can be considered as "strata" of the educational institute. Out of these, strata or majors five students are selected on random basis.
This is a form of stratified random sample
Hence, option D is correct
We need to separate his total earnings out into the different categories:
Category 1 (2%): 30,000
Category 2 (3%): 60,000-30,000 = 30,000
Category 3 (5%): 92,000-60,000 = 32,000
To calculate a percentage we multiply by that percentage divided by 100.
Now we can work out the commissions:
1) 30,000*0.02 = $600
2) 30,000*0.03 = $900
3) 32,000*0.05 = $1600
Adding these together, we get $3100
