Answer:
for 7% , $8,000
for 8.5%, $4,000
Step-by-step explanation:
Key amount at 7% be x and amount at 8.5% be y
Mathematically;
x + y = 12,000 ••••••(i)
Let’s now work
with the interest;
7% of x + 8.5% of y = 900 ••••••(ii)
0.07x + 0.085y = 900
So we have two equations to solve simultaneously
From 1, x = 12,000-y
Substitute this into ii
0.07(12000-y) + 0.085y = 900
840-0.07y + 0.085y = 900
0.015y = 900-840
0.015y = 60
y = 60/0.015
y = 4000
x = 12000-4000
x = $8,000
Answer:
3
Step-by-step explanation:
Any number and variable combined is a term.
So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)
3 terms - B
Answer:
(-1,0)(0,1)(3,4)
Step-by-step explanation:
The result of the exponential expression is 81
<h3>Indices expressions</h3>
Indices are written in term of exponents
According to the expoenent law of indices
a^4 = a * a * a * a
Given the expression
(-3)^4
This means the product of -3 in four places. Mathematically
(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81
Hence the result of the exponential expression is 81
Learn more on exponents here: brainly.com/question/11975096
Answer:
20
Step-by-step explanation:
You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation. The other keyword is per. Per will link the variable with the coefficient.
The first equation for company M:
y = 12x + 60
The second equation for company N:
y = 9x + 120
Set the equations equal to each other.
9x + 120 = 12x + 60
Solve for x. I am going to subtract 9x from both sides first.
9x - 9x + 120 = 12x -9x +60
120 = 3x +60
Now, I will subtract 60 from both sides.
120 - 60 = 3x + 60 - 60
60 = 3x
Finally, I will divide both sides by 3
60/3 = 3x/3
x = 20
20 is how many guests it will take for the total cost to be the same.
