Answer:
After 12 years the investment will be worth $5145.
Step-by-step explanation:
The formula used for compounded interest is:
A = P(1+r/n)^nt
where,
A = future value
P = Principal Amount
r = interest rate
n = no of times interest is compounded
t = time
In the question given:
A=?
P = $2100
r = 7.75% or 0.0775
n = 1
t= 12
A= 2100*(1+0.0775/1)^1*12
A= 2100 *(1+0.0775)^12
A= 2100 *(1.0775)^12
A= 2100 * 2.45
A= 5145
So, after 12 years the investment will be worth $5145.
Answer:
Step-by-step explanation:
2 hamburger + 1 milk =5
1 hamburger + 2 milk =5-.25
1 hamburger + 2 milk =4.75
multiply this by -2
-2hamburger + -4 milk =-9.5
add the first equation
-2 hamburger + -4 milk =-9.5
2 hamburger + 1 milk =5
---------------------------------------
-3 milk = -4.5
divide by -3
milk = 1.50
Answer: milk $1.50
You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:

To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:

- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:

Therefore, by dividing the numerator and the denominator by 5, you get:

Hence, the answer is:
Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.
<h3>What is the acceptable weight for the suitcase?
</h3>
You didn't include the full question but this question can be answered based on the given options.
When inequalities are written, there is no inclusion of "or" which eliminates options A and C.
It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.
This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.
Find out more on inequalities at brainly.com/question/24372553.
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