Solve the equation 1/2(2x-10)=4
2 answers:
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Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)
There are 15 years was his money invested.
<h3>What is simple interset?</h3>Simple Interest is an easy method of calculating the interest for a loan/principal amount.
Given
Frank invests $1,000 in simple interest investment account that pays 8% a year.
After a number of years, he withdraws his balance of $2,200.
The number of years was his money inversted is;
Where p is the principal amount, r is the rate of interest, I is the amount and t is the time.
Substitute all the values in the formula;
Hence, in the 15 years was his money invested.
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