Answer:
Sum=720 x=105 degrees Angle H=110 degrees Angle I= 100 degrees Angle K= 135
Step-by-step explanation:
*A hexagons angles add up to 720
*This is a hexagon
*No matter how the hexagon is shaped, it's still going to add up to 720
- Combine all of the angles (known and unknown) into an equation to equal 720
- 140+105+(x+30)+130+(x-5)+(x+5)=720
- remove parentheses
- 140+105+x+30+130+x-5+x+5=720
- Combine like terms and simplify
- 3x+405=720
- subtract 405 from both sides
- 3x=315
- divide by 3 on both sides
- 3x/3=315/3
- x=105
- Angle H = x+5
- Plug in x
- 105+5=110
- Angle H= 110 degrees
- Angle I = x-5
- pug in x
- 105-5=100
- Angle I= 100 degrees
- Angle K= x+30
- plug in x
- 105+30=135
- Angle K= 135 degrees
The annual interest rate is 20.4% which is a 20.4/12 = 1.7% monthly rate.
1.7% = 0.017
-------------------------------------------------
Month 1:
interest = 0.017*(current balance)
interest = 0.017*(1045.87)
interest = 17.77979
interest = 17.78
---------
principal = payment - interest
principal = 490 - 17.78
principal = 472.22
---------
new balance = (old balance) - principal
new balance = (1045.87) - 472.22
new balance = 573.65
at the end of month 1, the balance is $573.65
So far, you have paid $490
-------------------------------------------------
Month 2:
interest = 0.017*(current balance)
interest = 0.017*(573.65)
interest = 9.75205
interest = 9.75
---------
principal = payment - interest
principal = 490 - 9.75
principal = 480.25
---------
new balance = (old balance) - principal
new balance = (573.65) - 480.25
new balance = 93.40
At the end of month 2, the balance is $93.40
So far, you have paid 490+490 = 980 dollars
-------------------------------------------------
Month 3:
The current balance of $93.40 is less than $490, so we don't have to pay the full $490. We can simply pay off the remaining balance.
Add this to the current total paid amount so far to get 980+93.40 = 1,073.40
I'm not sure if I made a rounding error somewhere or if there is a typo. The closest answer choice I see is choice B. So I'm thinking the answer is choice B. I'd get a second opinion or ask the teacher on this one.
Answer:
75 customers
Step-by-step explanation: Given that
there are 900 gift card
1/12 of them are worth $25,
then the number of customers that received $25 will be 1/12 of 900. That is
1/12 × 900 = 75 customers
Answer:
f=4
Step-by-step explanation:
-11f = 7(1-2f)+5
step 1 distribute what is outside of the parenthesis to the inside of the parenthesis
-11f=7-14f+5
step 2 combine like terms
-11f=12-14f
step 3 add 14 to each side
3f=12
step 4 divide each side by 3
f=4
Answer:17.14%
Step-by-step explanation:
145 x
_____=_____
175 100
145(100)=175(x)
14500=175x
__________
175 175
x=82.86
100-82.86=17.14%
