Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
Answer:
Original sum of money = $2246.51
Step-by-step explanation:
Interest = $96.60
Interest is compounded 6 times in a year ; n = 6
time = 1 year ; Rate of interest (r) = 4.2%
Interest = Future Value - Principal Value ...........(1)
![\text{Future Value = }Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}\\\\\text{Substituting this value in equation (1) , We get }\\\\Interest=Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}-Principal\\\\\implies 96.60=Principal[\cdot (1+\frac{4.2}{100\times 6})^{6\cdot 1}-1]\\\\\implies Principal=\$2246.51](https://tex.z-dn.net/?f=%5Ctext%7BFuture%20Value%20%3D%20%7DPrincipal%5Ccdot%20%281%2B%5Cfrac%7Br%7D%7B100%5Ctimes%20n%7D%29%5E%7Bn%5Ccdot%20t%7D%5C%5C%5C%5C%5Ctext%7BSubstituting%20this%20value%20in%20equation%20%281%29%20%2C%20We%20get%20%7D%5C%5C%5C%5CInterest%3DPrincipal%5Ccdot%20%281%2B%5Cfrac%7Br%7D%7B100%5Ctimes%20n%7D%29%5E%7Bn%5Ccdot%20t%7D-Principal%5C%5C%5C%5C%5Cimplies%2096.60%3DPrincipal%5B%5Ccdot%20%281%2B%5Cfrac%7B4.2%7D%7B100%5Ctimes%206%7D%29%5E%7B6%5Ccdot%201%7D-1%5D%5C%5C%5C%5C%5Cimplies%20Principal%3D%5C%242246.51)
Hence, the original sum of money borrowed = $2246.51
Answer:
11 miles per hour
Step-by-step explanation:
The biking speed is found by taking the miles and dividing by the hours
33 miles/ 3 hours
11 miles per hour
Answer:
-73, -34, 0.5, 1.2, 23
Step-by-step explanation:
In Mathematics, the set of numbers are arranged in two ways. It means that the numbers can be arranged either in ascending order or descending order. If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number.
If the numbers are arranged from the greatest to the least, then it is called descending order. In this form, the numbers are in decreasing form. The first number should be greater than the second number.
Also, read: Descending Order
Standard Form
<em>The standard form to represent the least to the greatest arrangement </em>of numbers is given by:
a < b < c < d < …..
Here,
a, b, c, d represent the numbers
Example: 2 < 5 < 7 < 8
Old
9.99×55
=549.45
New
10.68×55
=587.4
((10.68÷9.99)−1)×100
=6.9%
