Hello from MrBillDoesMath!
Answer:
Choice C [16,100]
Discussion:
Let "x" be the score needed on the 5th exam to achieve an average score >= 60. Then
(50 + 90 + 66 + 78 + x)/5 >= 60 => (multiply both sides by 5)
(50 + 90 +66 + 78) + x >= 60*5 = 300 =>
(284) + x >= 300 =>
x >= 300 - 284 = 16.
As x is a percent, x <= 100, so the interval is [16, 100], which is Choice C.
Thank you,
MrB
I’m not sure if this is what you’re looking for, but I hope it helps!
Answer:
A
Step-by-step explanation:
The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.
Answer:
32 years
Step-by-step explanation:
Given data
Principal= $5
Rate= 5%
FInal amount= $25
Time=???
Applying the compound interest formula for time
t= ln(A/P)/r
t= ln(25/5)/0.05
t= ln(5)/0.05
t= 1.60/0.05
t= 35 years
Hence the time is 32 years
Answer:
24x+54
Step-by-step explanation:
8(3x+5)= 24x+40
24x+40+14=24x+54
24x+54
