The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
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Answer: 78
Step-by-step explanation:
6(4+9)
use foil to distribute the 6 to the 4 and 9
6×4 + 6×9
24 + 54
⇒ 78
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
A:
2 inches - 25 miles
x inches - 60 miles
Set up a proportion:

4.8 inches on the map represent 60 miles.
B:
2 inches - 25 miles
1/4 inches - x miles
Set up a proportion:

3.125 miles are represented by 1/4 inches on the map.
Total distance = 1.6 miles
Madison has already hiked 0.4 miles
Miles left = 1.6 - 0.4 = 1.2 miles left