Answer:
the price for one pretzel was $1.75
Step-by-step explanation:
d for drinks
p for pretzel
3d + 3p = 9
3d = 9 -3p
d = 3 - p
replace d = 3 - 9 into 4d + 2p = 8.5
4d + 2p = 8.5
4(3 - p) + 2p = 8.5
12 - 4p + 2p = 8.5
-2p = 8.5 - 12
-2p = -3.5
p = 1.75
Answer:
$1876.31
Step-by-step explanation:
The present value can be found using the compound interest formula.
<h3>Present value</h3>
The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...
FV = P(1 +r/n)^(nt)
Filling in the known values gives ...
4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)
Then the amount to be invested is ...
P = 4000/1.02125^36 ≈ 1876.31
The present value is $1876.31.
Answer:
The answer is Both a(x) and b(x) have the same output value at x = 2.
Step-by-step explanation:
The answer is Both a(x) and b(x) have the same output value at x = 2. Because when a(x)=b(x) the lines intersect at that point lines intersect they have a point in common. Also, a(x)=b(x) means that the outcomes are the same
Methods for solving a system of equations:
- elimination
- substitution
- augmented matrix
Ranks of method ( number one being the most preferred method)
1) elimination
2) substitution
3) augmented matrix
Elimination is my preferred method because it is simple and easy to work out and hard to get wrong.
Augmented matrix is my least preferred method because it is easy to get wrong and it requires complex steps to solve a simple equation.
Hope this helps ;)
Answer:
A.
Step-by-step explanation:
set a proportion
75 x
--- = ----
1.5 2.25
2.25 times 75
168.75
divide it by 1.5
337.5
337 one half