C: computer
m: monitor
p: printer
c+m+p=1935
m+400=c
p=m+50
substitute the last two equations into the first one:
m+400+m+50+m=1935
3m=1485
m=495
Substitute into the other equations
c=495+400=895
p=495+50=545
Interest earned is $1722.24
Balance of account is $6922.24
Answer:
Jodi must score at least 8.8 points.
Step-by-step explanation:
Step 1: Given data
Score 1 (S1): 8.9
Score 2 (S2): 7.1
Score 3 (S3): 9.2
Average (Av): 8.5
Score 4 (S4): ?
Step 2: Calculate the Score 4 so that the average is 8.5
The average is equal to the sum of the scores divided by the number of scores (4).
Av = (S1 + S2 + S3 + S4)/4
4 × Av = S1 + S2 + S3 + S4
S4 = 4 × Av - S1 - S2 - S3
S4 = 4 × 8.5 - 8.9 - 7.1 - 9.2
S4 = 8.8
Jodi must score at least 8.8 points.
Answer:
Step-by-step explanation:
Given the quadratic expression x^2-2x-24, to get the values of the variable for which the expression is defined as a real number, we need to factorize the expression first as shown;
= √x^2-2x-24 = 0
= √x^2-6x+4x-24= 0
=√x(x-6)+4(x-6) = 0
=√(x+4)(x-6) =0
square both sides
= (x+4)(x-6) = 0²
(x+4)(x-6) = 0
(x+4) = 0 and (x-6) = 0
x = -4 and x = 6
Hence the interval of notation is at x = -4 and 6
About 0.9 i think. i may be wrong so dont take my word for it