SOLUTION
We want to know which answer choice shows 3.002 written in expanded form
To do this let us subtract 3.002 from 3, we have
We got 0.002
So the expanded form is
![3+0.002](https://tex.z-dn.net/?f=3%2B0.002)
Hence the correct answer is option C
Answer: $59313.58
Step-by-step explanation:
Formula to find the accumulated amount of the annuity is given by :-
![FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})](https://tex.z-dn.net/?f=FV%3DA%28%5Cfrac%7B%281%2B%5Cfrac%7Br%7D%7Bm%7D%29%5E%7Bmt%7D%29-1%7D%7B%5Cfrac%7Br%7D%7Bm%7D%7D%29)
, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.
Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06
Now substitute all these value in the formula , we get
![FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})](https://tex.z-dn.net/?f=FV%3D%284500%29%28%5Cfrac%7B%281%2B%5Cfrac%7B0.06%7D%7B1%7D%29%5E%7B1%5Ctimes10%7D%29-1%7D%7B%5Cfrac%7B0.06%7D%7B1%7D%7D%29)
⇒ ![FV=(4500)(\frac{(1.06)^{10})-1}{0.06})](https://tex.z-dn.net/?f=FV%3D%284500%29%28%5Cfrac%7B%281.06%29%5E%7B10%7D%29-1%7D%7B0.06%7D%29)
⇒ ![FV=(4500)(\frac{0.79084769654}{0.06})](https://tex.z-dn.net/?f=FV%3D%284500%29%28%5Cfrac%7B0.79084769654%7D%7B0.06%7D%29)
⇒ ![FV=(4500)(13.1807949423)](https://tex.z-dn.net/?f=FV%3D%284500%29%2813.1807949423%29)
⇒ ![FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}](https://tex.z-dn.net/?f=FV%3D59313.5772407%5Capprox59313.58%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20cent%5D%7D)
Hence, the accumulated amount of the annuity= $59313.58
A and B
Reason and proof:
suppose we have the following function
f(x) = 2x + 1
the y intercept is 1 therefor it'll intersect the y axis at (0,1)
however if the function was to be
f(x) = 2x - 1
the y intercept is -1 that means it intersect the y axis at (0,-1)
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
The answer is 0.5833333333