Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Option A
Elena need to ride around the loop four or more times
<em><u>Solution:</u></em>
Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long
Then she will ride the same way home
She wants to ride a total of at least 22 miles
<em><u>Given inequality is:</u></em>
3t + 10 > 22
Where "t" is the number of times Elena rides around the loop
<em><u>Solve fot "t" in given inequality</u></em>
3t + 10 > 22
Subtract 10 both sides
3t + 10 - 10 > 22 - 10
3t > 12
Divide by 3 both sides
t > 4
The solution is all real numbers greater than or equal to 4
Which means 4 or more times
Therefore, Option A is correct.
If i did it right the anwser is 20
Answer:
43. 
44.
45. 8
Step-by-step explanation:
43. 0.45% = .0045

44.
• 
=
45. VIII = 8
Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-


∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200