Answer:
The final balance is $7,913 and the total compound interest is $413.27
To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.
9514 1404 393
Answer:
-1/3x
Step-by-step explanation:
We want to find the term 'a' such that ...
(5/6x -4) + a = (1/2x -4)
Add 4-1/2x to both sides.
(5/6 -1/2)x -4 +4 +a = 0
(5/6 -3/6)x + a = 0 . . . . . . express the fractions using a common denominator
1/3x + a = 0 . . . . . . . . . . simplify the difference
a = -1/3x . . . . . . . . . . .subtract 1/3x
The term you can add to make the desired equivalent is -1/3x.
Answer:
Step-by-step explanation:
When you are changing a repeating decimal to a fraction, there is a trick you have to know. 2 actually. Put the decimal right before the repeating starts and right after the repeating starts. This one is a bit tricky since the decimal is after a 1, and 1 is what is repeating. So let's leave that one as is and simply say that
x = -1.11111
Now let's move the decimal right after the second one. To do that you have to multiply by 10. So we then can say that
10x = -11.11111
For this problem, we will disregard the negative til the end because it just makes things confusing.
Subtract the smaller equation from the larger:
10x = 11.111111
- 1x = 1.111111
and get
9x = 10
Divide both sides by 9 to get 10/9 which is 1 1/9 as a mixed fraction. Let's check it first to see if we're correct, then we'll throw the negative sign back on.
10/9 on your calculator gives you 1.111111111 repeating, so now that we know we are correct, the mixed fraction is
-1 1/9
Answer:
see explanation
Step-by-step explanation:
(a)
10x - 45 ← factor out 10 from each term
= 10(x - 4.5)
(b)
- 2x + 3 ← factor out - 2 from each term
= - 2(x - 1.5)
(c)
- x + 4 ← factor out - 1 from each term
= - 1(x - 4)
(d)
- x - 19 ← factor out - 1 from each term
= - 1(x + 19)
You take how many shirts she sold and then multiply it by the cost of one shirt.
Therefore, you do 39 shirts * $16.50, which is equal to $643.50 in revenue :)