need help on 2 math problems. Gladly give out ten points to best answer.?

Question

1.An investment firm invested $2,000 into two accounts. $1,500 went to an 8% annual rate account. The rest went to a 5% annual rate account. The interest per year amounted to:

A.139
B.160
C.145

2. How much water should be added to 50 ml of 25% acid solution to dilute it to a 10% acid solution?
a.75 ml
b.7.5 ml
c.impossible to do

Answer 1

1) We invest 1500 dollar to an 8% rate account. Our yearly interest will be 1500 * 0.08 = 120
The rest, 2000-1500 = 500 dollar, we invest to a 5% rate account. Our yearly interest will be 500* 0.05 = 25
Adding these two gives you 145, so answer C is correct.

2) 25% of 50 ml = 12.5 ml. We want to have a 10% so we have to find a number of which 12.5 ml is 10% That number is 12.5/0.10 = 125. Because we already had 50 ml, we have to add 125-50=75ml, so answer A is correct.

Answer 2

concern One ========== A = 2l + 2w Subtract 2w A - 2w = 2l Now divide by using 2 (A - 2w) / 2 = l The brackets must be used with the aid of fact A should be divided by using 2 to boot as w concern 2 ======= V = pi r^2 h Divide by using pi r^2 V/(pi*r^2) = h lower back the brackets must be used to tutor that the two pi and r^2 are on the backside. concern 3 ======= enable the dimensions be = l enable the width = w l = w + sixteen 2*l + 2*w = 136 positioned the guidance in for the dimensions. 2*(w + sixteen) + 2w = 136 2w + 32 + 2w = 136 4w + 32 = 136 4w = 104 w = 104/4 = 26 l = w + sixteen = 26 + sixteen = 40 two. So DDL (what's that?) desires 2 drains that are 40 two feet and w that are 26 verify ===== 2*40 two = eighty 4 2*26 = fifty two entire 146 purely what it is going to be. direction a number of them must be in basic terms a touch longer than calculated with the aid of fact they flow on the exterior of the roof. concern 4 ========= enable the 1st variety = x enable the 2d = 2x enable the third be 3x x + 2x + 3x = 714 6x = 714 x = 714/6 x = 119 2x = 238 3x = 357 the finished is 714

Answer 3

1."C" 8% of 1500=120 5% of 500 =25, 120+25=145

2."A" 25% of 50ml is 12.5 ml. You need to get a total of 125 ml to end up with the 12.5ml or 10%. Since you already have 50ml, thus you must add 75ml of water to get the total of 125ml.

Answer 4

1. 1500 X .08 + 500 X .05 = 145 (C)

2. 50 X .25 = .10 ( 50 + x)
12.50 = 5 + .10 x
7.5 = .10 x
x = 75 (A)

Answer 5

question 1 is a
question 2 is b

Answer 6

1. c

2. a

These questions aren't that hard. Are you just checking your answers? You should get some help. Basic math is pretty important.