The correct answer is the third one, both a and b.
Hi Laila
p+4 -2(p-10)>0
The first thing you need to do is simplify the both sides
So that will be
p-2p + 4+ 20 > 0
-p + 24 > 0
-p > 0-24
-p > -24
Now since we can not have the negative sign in front of P, we need to do something. What we need to do is divide both sides by -1
-p/-1 > -24/-1
p < 24
Remember to change the symbol.
I hope that's help and if you have any further questions please let me know :)
The answer is D because if she picks 4 per hour, all you have to do is 4<span>•8
(4 times 8), 8 representing the amount of hours
Joan picked 32 bushels of apples in 8 hours</span>
Answer:
B. Obtuse triangle
Step-by-step explanation:
The following triangle is an obtuse triangle.
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
