Answer:
the final amount is = $280.51
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Given that;
Principal P = $200
Interest rate r = 7% = 0.07
Time t = 5 years
Final amount = A
Number of time compounded per year n = 1
Substituting the values;
A = 200(1+0.07/1)^(1×5)
A = 280.51
Therefore, the final amount is = $280.51
Answer:
112.5 mL
Step-by-step explanation:
Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...
0.15(1800) +x = 0.20(1800+x)
270 +x = 360 + 0.2x . . . . . . eliminate parentheses
0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x
x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x
112 mL of grape juice should be added to make a mix that is 20% grape juice.
Answer:x > -3
Step-by-step explanation:
Answer:
The midpoint is ( 7,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinate of the endpoints and divide by 2
( 4+10)/2 = 14/2 = 7
To find the y coordinate of the midpoint, add the y coordinate of the endpoints and divide by 2
(8+2)/2 = 10/2 = 5
The midpoint is ( 7,5)
We can distribute
2(5)+2(-x)=10-2x
we get
8+10-2x=?
18-2x=?
whatever that ? is, we don't know
multiply both sides by -1
2x-18=-?
add 18 to both sides
2x=18-?
divide bth sides by 2
x=9-(?/2)
whatever the left side it, just divide it by 2 and subtract it from 9
