Answer:
0.054
Step-by-step explanation:
Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/2)^2(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/2)^28. Then we take the 28 square root from both sides. 1.02689= 1 + r/2. Subtract 1 from both sides. 0.02689= r/2. Then multiply both sides by two. r= 0.054.
Answer: 6
Step-byStep:
[(18- 8) x 3) + (4+3) x 6] divided by 12
step 1- start with the stuff in the parentheses
[(10 x 3) + (7 x 6)] divided by 12
step 2- simplify things in parentheses
[30 + 42] divided by 12
step 3- simplify even more
[72] divided by 12
step 4- remove brackets, and simply even further
72 divided by 12 = 6
Hope this helps
First we need to find the radius of the cylindrical tree trunk if the circumference C=4 feet: C=2rπ, r=4/(2π)=2/π. Now we find the volume V: V=r^2π*h, where h=20 feet is the height. So we input the numbers: V=(2/π)^2*π*20=(4/π²)*π*20. π in the nominator and the denominator cancel out: V=(4/π)*40=80/π. The volume of the cylindrical tree trunk is V=80/π feet^3
-4x/7 > 10
Multiply both sides by 7:
-4x > 70
Divide both sides by -4"
x > 70 / -4
Simplify the fraction:
70/-4 = 35 / -2
Because the fraction is negative you need to reverse the inequality sign:
x < -35/2
The answer is the first one: {x|x < -35/2}
The answer is 20
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