Asap! ! 1) how much water should we add to 35 kg of sugar syrup to change its concentration from 30% to 25%? 2) john can create 3 apps in 6 weeks while ben can do the same job in 2 weeks. how many weeks would it take them to create 10 apps together? 3)if 120% of a is equal to 80% of b, then what is the value of a+b? in terms of a? in terms of b?

See below

Step-by-step explanation:

1) Let us tabulate and see.

                    Sugar content      Water                  Total weight

I syrup          0.3(35) = 10.5      35-10.5 = 24.5          35

II syrup                            0                           x              x

total                               10.5              24.5+x             35+x

concentration in new syrup=

7kg of water should be added.

2) John can do 3/6 apps in one week while Ben can do 2/6 apps in one week.

Together they can do 5/6 apps per week.

Hence to do 10 apps they require 12 weeks.

3) 120% of a = 80% of b

i.e. 1.2a = 0.8b

Or 3a=2b

Or a:b = 2:3

By commendo and dividendo we get

a:a+b= 2:5

Or a+b = 5a/2 ... i

Next is

a+b:b =5:3

Or a+b= 5b/3

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%