Answer:
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If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer:
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Answer:
The expression represents the amount of money in the bank account after the increase is: x=1.158n.
Step-by-step explanation:
With the information provided, you can say that the amount of money in the bank after the increase would be equal to multiplying the amount at the beginning of the year for the result of adding up 1 plus the percentage of the increase, which would be:
x=n*(1+0.158)
x=n*1.158
x=1.158n, where:
x is the amount of money in the bank account after the increase
n is the amount of money at the beginning of the year
