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The salesman earns $850 per automobile he sells.
Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.
The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.
The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.
Divide both sides by $850, as that represents his sales from one commission:
x ≥ 8
The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.
Answer:
The answer is A $100
Step-by-step explanation:
since 0 deposits is $50 and 1 deposit is $150
you do 150-50 which is 100
61.23 square inches of metal is needed to create a cylindrical can.
Solution:
Diameter of the base = 3 in
Radius of the base = 3 ÷ 2 = 1.5 in
Height of the cylinder = 5 in
The value of π = 3.14
<u>To find the surface area of the cylinder:</u>
Surface area of the cylinder = 
= 2 × 3.14 × (1.5)² + 2 × 3.14 × 1.5 × 5
= 14.13 + 47.1
Surface area of the cylinder = 61.23 sq. in
Hence 61.23 square inches of metal is needed to create a cylindrical can.
<u>Answer:</u>
<em>The value of x in log x + log 3 = log 18 is </em><em>6</em><em>.</em>
<u>Solution:</u>
From question, given that log x + log 3 = log 18 ---- eqn 1
Let us first simplify left hand side in above equation,
We know that log m + log n = log (mn) ----- eqn 2
Adding log m and log n results in the logarithm of the product of m and n (log mn)
By using eqn 2, log x + log 3 becomes log 3x.
log x + log 3 = log 3x ---- eqn 3
By substituting eqn 3 in eqn 1, we get
log 3x = log 18
Since we have log on both sides, we can cancel log and the above equation becomes,
3x = 18

Thus the value of x in log x + log3 = log18 is 6