Answer:
$2647.18
Step-by-step explanation:
Formula : ![A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bn%7D-1%20%7D%7B%28%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%5D)
Future value = $43,000
r = rate of interest = 9% = 0.09
t = 3.5 years (compounded quarterly)
n = number of compounding (3.5 × 4) = 14
Now put the values into formula :
43000 = ![A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7B0.09%7D%7B4%7D%29%5E%7B14%7D-1%20%7D%7B%28%5Cfrac%7B0.09%7D%7B4%7D%20%29%7D%5D)
![43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})](https://tex.z-dn.net/?f=43000%3DA%28%5Cfrac%7B%281%2B0.0225%29%5E%7B14%7D-1%7D%7B%5Cfrac%7B0.09%7D%7B4%7D%7D%29)
![43000=A(\frac{(1.0225)^{14}-1}{0.0225})](https://tex.z-dn.net/?f=43000%3DA%28%5Cfrac%7B%281.0225%29%5E%7B14%7D-1%7D%7B0.0225%7D%29)
43000=A(![\frac{0.365483427}{0.0225})](https://tex.z-dn.net/?f=%5Cfrac%7B0.365483427%7D%7B0.0225%7D%29)
43,000 = A(16.243708)
A = ![\frac{43000}{16.243708}](https://tex.z-dn.net/?f=%5Cfrac%7B43000%7D%7B16.243708%7D)
A = $2,647.17883 ≈ $2647.18
Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x
To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac
Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6
Now, we can take that -10x and put it right back in:
18x - 6 - 10x
Combine like terms and subtract the 10x from the 18x to get:
8x - 6
Hope this helps!
Step-by-step explanation:
the cost per ounce at target would be .2688 and the cost per ounce ot walmart would be .28 so target would be the better buy.
We know that
[volume of a <span>regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m
[surface area </span><span>hexagonal prism]=2*[area of the base]+[perimeter of base]*h
</span>[surface area hexagonal prism]=2*[64]+[30]*2.5----> 203 m²
the answer is
203 m²
*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*
Part A) Theresa has 5 cards so: 5 x -50 = -250
Theresa has -250 points.
Part B) Mark has 8 cards so: 8 x -50 = -400
Mark has -400 points.
Part C) Theresa has more points because -250 is closer to 0 on a number line.