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Oksana_A [137]
3 years ago
12

Marlene has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her

balance was $570. She then made a purchase for $120, so her balance jumped to $690, and it remained that amount for the next 10 days. Marlene then made a payment of $250, so her balance for the last 10 days of the billing cycle was $440. If her credit card's APR is 15%, which of these expressions could be used to calculate the amount Marlene was charged in interest for the billing cycle?
Mathematics
2 answers:
saw5 [17]3 years ago
8 0
For APEX it’s C

(0.15/365 • 30) ($320)

Good luck my dudes!!
Elan Coil [88]3 years ago
3 0

Solution:

Starting balance of Marlene for first 10 days of her 30 days billing cycle

                                                         = $ 570

Purchase made = $ 120

Total Balance after purchase made = $ 570 + $ 120 = $ 690

Payment made = $ 250

Balance for last 10 days = $ 690 - $ 250 = $ 440

Credit Card APR = 15% Annually

Credit Card APR = \frac{15}{12}=\frac{5}{4} = 1.25% monthly

Amount charged as an interest for billing cycle = 440 \times \frac{1.25}{100}

    = \frac{550}{100}

     =  $ 5.50 ( Amount charged)

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Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
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gtnhenbr [62]
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Solving it we get:
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I hope this helped!
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