Answer:
Step-by-step explanation:
The original price of the wind chimes at the home improvement store is $w.
A customer signed up for a free membership card and received a 5% discount off the price. The value of the discount is
5/100 × w = 0.05w
The discounted price would be
w - 0.05w = 0.95w
Sales tax of 6% was applied after the discount. The amount of sales tax applied would be
6/100 × 0.95w = 0.057w
The algebraic expression to represent the final price of the wind chime is
0.95w + 0.057w
= 1.007w
You wanna find a common denominator so put the problem like this
3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15
now it will look like this
3 1/15
-2 2/15
———-
Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.
2 11/15
-2 2/15
-———-
0 9/15
Thats your official answer 9/15 hope I helped :)
The data will display the data. When you look at the data and see the change in the data, that is how you can see what is the rate of change. You find the initial volume by using the data from the chart as if you was just reading the biggest of all the value.
Answer:
D
Step-by-step explanation:
its the right answer bc its proportional
Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:

Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.