The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.
<h3>What are inequalities and their types?</h3>
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given inequality is y ≤ -5(x - 18) - 2.
Now the values of x when y = 43 is,
43 ≤ - 5(x - 18) - 2.
43 ≤ - 5x + 90 - 2.
43 - 88 ≤ - 5x.
- 45 ≤ - 5x.
5x ≤ 45.
x ≤ 9.
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Answer:
Step-by-step explanation:
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Answer:7
Step-by-step explanation:
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