Ronald is trying to reconstruct his spending pattern from may. he knows that he had $315 in his account on may 1, but after that, his receipts and balance statements are all scrambled. here are ronald’s records: date transaction type amount ($) 5/25 purchase 66 5/18 purchase 90 5/30 purchase 188 5/24 deposit 151 5/22 purchase 152 5/8 deposit 104 5/3 purchase 175 5/6 purchase 82 assuming that this is a complete, if scrambled, record of ronald’s may spending and that any overdraft fees incurred do not affect the running total, how many times did ronald overdraw his account in may? a. ronald never overdrew his account. b. ronald only overdrew his account once. c. ronald overdrew his account twice. d. ronald overdrew his account more than twice.

Correct answer is : c)Ronald over drew his account twice

Solution:-

Let us write the transactions of Ronald starting from May 1st and then calculate the balance after that transaction. If we get any negative balance, the the account id over drawn.

On may 1st  that is on 5/1, balance is $315.

On 5/3, he purchased worth $175, hence balance = 315-175 = $140

On 5/6, he purchased worth $82, balance = 140-82 = $58

On 5/8, he deposited $104, hence balance will increase now that is 58+104 = $162

On 5/18, he purchased worth $90, hence balance = 162-90 = $72

On 5/22, he purchased again worth $152, balance = 72-152 = -80$, it is over drawn.

On 5/24, he posited worth $151, balance = -80+151=$ 71

On 5/25, he purchased worth $66, balance = 71-66=$5

On 5/30, he purchased worth $188, balance = 5-188 = -183$, it is over drawn again.

Since there is negative balance in his account 2 times , it is over drawn twice.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq