Answer:
Manual Override??
Step-by-step explanation: I'm prop wrong
Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.
Consider all remaining options:
B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.
C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.
E. 80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.
Answer: correct options are C and E.
Answer:
Amount invested at 7% = 16000
Amount invested at 9% = 12000
Step-by-step explanation:
Let x be the amount invested at 7% and y be the amount invested at 9%.
Since the total amount invested is $28000, therefore, we can set up the first equation as:
![x+y=28000](https://tex.z-dn.net/?f=x%2By%3D28000)
Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:
![0.07x+0.09y=2200](https://tex.z-dn.net/?f=0.07x%2B0.09y%3D2200)
Now we need to solve these two equations to get the values of x and y.
First of all, we multiply the second equation with 100 in order to get rid of decimal values.
![(0.07x+0.09y)*100=2200*100\\7x+9y=220000](https://tex.z-dn.net/?f=%280.07x%2B0.09y%29%2A100%3D2200%2A100%5C%5C7x%2B9y%3D220000)
Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.
![y=28000-x](https://tex.z-dn.net/?f=y%3D28000-x)
![7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000](https://tex.z-dn.net/?f=7x%2B9%2828000-x%29%3D220000%5C%5C7x%2B252000-9x%3D220000%5C%5C-2x%3D-32000%5C%5Cx%3D16000)
Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.
Answer: 9
Step-by-step explanation:
Substitute -2 in for x and get (9)^-2
Flip the equation so that the exponent is positive and get 1/9^2
Work it out 1/(9*9) = 1/81