Answer:
$12000 should be invested in a fund with a 4% return.
Step-by-step explanation:
Consider the provided information.
An amount of $15,000 is invested in a fund that has a return of 6%.
We need to calculate how much money is invested in a fund with a 4% return if the total return on both investments is $1380.
Let $x should be invested in a fund with a 4% return.
The above information can be written as:
![1380=15000\times 6\%+x\times 4\%](https://tex.z-dn.net/?f=1380%3D15000%5Ctimes%206%5C%25%2Bx%5Ctimes%204%5C%25)
![1380=15000\times \frac{6}{100}+x\times \frac{4}{100}](https://tex.z-dn.net/?f=1380%3D15000%5Ctimes%20%5Cfrac%7B6%7D%7B100%7D%2Bx%5Ctimes%20%5Cfrac%7B4%7D%7B100%7D)
![1380=150\times6+x\times 0.04](https://tex.z-dn.net/?f=1380%3D150%5Ctimes6%2Bx%5Ctimes%200.04)
![1380-900=0.04x\\480=0.04x\\x=12000](https://tex.z-dn.net/?f=1380-900%3D0.04x%5C%5C480%3D0.04x%5C%5Cx%3D12000)
Hence, $12000 should be invested in a fund with a 4% return.
Answer:
B
Step:
The general equation for linear is y=mx+b
So all is linear except B
Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1)
GIven
2)
Commutative property
3)
Distributive property/Definition of addition
4)
Definition of addition
5)
Compatibility with addition
6)
Existence of additive inverse/Modulative property
7)
Compatibility with multiplication
8)
Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Answer:
Using the percentage difference formula you can find the percentage decrease.
SO its
100(new-old/new)
So we solve
10-6=4
4/10= 2/5
2/5*100=200/5
40
40 percent decrease