Answer:
Simple interest = $36
Compound interest = $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Step-by-step explanation:
Simple interest is calculated on the principal amount of a loan. Compound interest is calculated on the sum of principal amount and accumulated interest of previous periods.
Simple interest = 
Compound interest = 
Here, P denotes principal amount, R denotes rate of interest, T denotes time.
Given: $600 invested at 3% simple interest for 2 years, $600 invested at 4% compounded monthly for 2 years
To find: Simple interest and compound interest.
Solution:
Take P=600, R=3% and T=2 years
Using the formula of simple interest mentioned above,
Simple interest = 
So, interest earned is $36
Take P=600, R=4% and T=2 years
Using the formula of compound interest mentioned above,
Compound interest = 
=
=![600\left [ \left ( \frac{26}{25} \right )^2-1 \right ]](https://tex.z-dn.net/?f=600%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B26%7D%7B25%7D%20%5Cright%20%29%5E2-1%20%5Cright%20%5D)
=
=
So, interest earned is $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
4x+3(5y-x)
Start by multiplying out the brackets
4x+15y-3x
Collect like terms
4x-3x+15y
Subtract the x's
X+15y
Hope this helps!
Answer:
x<-21
Step-by-step explanation:
x/7<-3
x<-21
Hey there!
In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:
<span>5y + 3 = 2y – 3x + 5
– 3 – 3
</span>
5y = 2y – 3x + 2
As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y.
5y = 2y – 3x + 2
+ 2y + 2y
<u>7y</u> = <u>–3x + 2</u>
7 7
y = <u>–3x + 2</u>
7
When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7.
Hope this helped you out! :-)
Answer:
3.5 pounds of nuts; 6.5 pounds of M&Ms
Step-by-step explanation:
Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...
6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds
3m +30 = 49.5 . . . . . . simplify
3m = 19.5 . . . . . . . . . . . subtract 30
m = 6.5 . . . . . . . . . . . . . divide by 3
Then 10-m = 10-6.5 = 3.5.
The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.
