Answer:
Step-by-step explanation:
The attachment shows the working, and it shows the problem repeats itself every 6 digits of quotient.
The future value of $1,000 invested at 8% compounded semiannually for five years is 
<u>Solution:</u>
----------- equation 1
A = future value
P= principal amount
i = interest rate
n = number of times money is compounded
P = 1000
i = 8 %
(Compounding period for semi annually = 2)
Dividing “i” by compounding period
Solving for future value using equation 1
Ascending means going up
First change into decimals
3/4=0.75
1/12=0.083
9/16=0.5625
7/24=0.291666…..
Start from smallest to largest number
0.291666…..,0.5625,0.75,0.083
Find their fractions
7/24,9/16,3/4,1/12
Answer:7/24,9/16,3/4,1/12
Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
False a rectangle could never be a square
