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wariber [46]
3 years ago
10

Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her card and no late fees w

ere charged how long will it take her debt to double?
Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

it would take about 4.2 years for her debt to double.

Step-by-step explanation:

With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:

A(t)=3000\,(1+0.18)^t

now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:

A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years

which we can round to approximately 4.2 years

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4 0
3 years ago
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much
tiny-mole [99]

Answer:

$18.28

Step-by-step explanation:

Step one:

given data

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag

let the total money be x

so  mathematically

x-1/8*x= 16

solve for x

x-x/8= 16

8x-x/8= 16

7x/8=16

cross multiply

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7 0
2 years ago
Can someone help me with my homework
xenn [34]
All of the numbers in the sequence are being divided by 6.  To complete it, we will divide 96 by 6.
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3 0
3 years ago
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
SCORPION-xisa [38]

Answer:

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

------------------------------

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

------------------------------

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

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3 years ago
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What is the value of the square of i?
BlackZzzverrR [31]
I^2 = (sqrt-1)^2 then the square cancels out so the answer is just

-1
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3 years ago
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