Answer:
z = 86
Explanation:
90 - 68 = 12
180 - 78 = 102
102 + 12 = 114
180 - 114 = 86
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Answer:
Step-by-step explanation:
10% discount means you pay 90% of the original cost x.
90% of x = $40.50
0.90x = $40.50
x = $40.50/0.90 = $45
:::::
total cost = 1.065·$40.50 ≅ $43.13
So you have 318/2580 (since the top is the amount of money they use for food and the bottom is the total). You will want to divide it into 2 so 318/2 and 2580/2. Then you will get 159/1290. The divide 159/1290 with 3. So you will get 52/430. It may seem that you will need to divide 430 with 52 now. Once you get that, you will get the decimal 0.123255814. (I used a calculator). Then Move the decimal twice to the right to make that whole percentage. You will get 12 as you whole number (Ignoring the fact you have 3255814 as your remaining.). So the answer for that is….
12%!!
The rule, letting d=discriminant:
d>0, two real solutions
d=0, one real solution
d<0, no real solution (but there are two imaginary solutions)
So if it has only one real solution, the discriminant is equal to zero.