Answer:
x<-11/26
Step-by-step explanation:
1/5(2/3x-1/2)>x+1/3
2/15x-1/10>x+1/3
2/15x-x>1/3+1/10
-13/15x>11/30
x<(11/30)(-15/13)
x<-11/26
Answer:
11,880π in^3
Step-by-step explanation:
The volume of a cylinder = π r^2 h
Large Cylinder V = π * 15^2*40 = 9,000π in^3
Small Cylinder V = π * 12^2 * (60-40) = 2880π in^3
Adding: the total volume of the model = 11,880π in^3
Answer:
the Answer is -4
Step-by-step explanation:
since you add 15 to -19 you get -4
$5000 is the correct answer.
The formula for simple interest is I=prt. Anson gets 10% interest; 10% = 10/100 = 0.1. This gives us
I=p(0.1)(1) = 0.1p.
Jenny borrows 1000 more than Anson, so her principal is p+1000. Her rate is 8%; 8%=8/100 = 0.08. She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40
Together they earned 740:
0.1p+0.04p+40 = 740
Combine like terms:
0.14p+40 = 740
Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700
Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000