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(
43,000 = A(16.243708)
A = 
A = $2,647.17883 ≈ $2647.18
Answer:
Area = 27 cm²
Step-by-step explanation:
let L be the length of the rectangle
w the width
P the perimeter
A the area
<u>Formulas</u> :
P = 2×(L + w)
A = L × w
<u>We are Given</u> :
L = 3w
P = 2×(L + w)
⇔ 24 = 2×(3w + w)
⇔ 24 = 2×4w
⇔ 24 = 8w
⇔ w = 24/8 = 3
Then
L = 3w = 3×3 = 9
We obtain L = 9 and w = 3.
Then
A = L × w
= 9 × 3
= 27
Answer:
32.5
Step-by-step explanation:
median is the middle number, in this case the sum of the two middle number divided by 2
31 + 34 = 65/2
32.5
Answer:
C
Step-by-step explanation:
Answer:
4x+7 = 5x-20
(reason: vertical angles are congruent; property used: distributive)
7 = 1x-20
1x = 7+20
1x = 27
x = 27
