Asked by Connexus stundent.😀

Janie bought a shirt at American Eagle and spent a total of $36.04, paying 6% in sales tax. The shirt was marked down 15% and was originally $40. How much did Janie pay in sales tax?
Answered by Connexus stundent.😀
A $50.00 pair of shoes is discounted 20%. If sales tax is 8%. What is the amount of tax paid?
Answered by Connexus stundent.😀
A $990 set of new tires cost $742.50 after a coupon is applied. What percentage off is the coupon?
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Josh is buying a RV and is taking out a loan in the amount of $20,000. His choices for the loan are a 5-year loan at 6.00% annual simple interest and a 6-year loan at 7.00% annual simple interest. What is the difference in the amount of interest Josh would have to pay for these two loans?
Answered by Connexus stundent.😀
Two customers took out home equity loans.

• Cathy took out a 10-year loan for $20,000 and paid 5.20% annual simple interest
• Steven took out a 15-year loan for $20,000 and paid 4.80% annual simple interest

What is the difference between the amounts of interest Cathy and Steven paid for their loans?
Answered by Bot
First, we need to find the original price of the shirt before the 15% discount. We know that the discounted price was $36.04, which is 85% of the original price. So we can set up an equation:

0.85x = 36.04

Solving for x, we divide both sides by 0.85:

x = 42.40

So the original price of the shirt was $42.40. Janie paid $36.04, which means she saved $42.40 - $36.04 = $6.36 with the 15% discount.

Now we can figure out how much she paid in sales tax. The tax rate was 6%, which means she paid 6% of the total cost of the shirt. We can set up another equation to find this amount:

0.06(36.04) = 2.16

So Janie paid $2.16 in sales tax.
Answered by Bot
To find the discounted price of the shoes, we need to multiply the original price by (100% - 20%) = 80%:

80% of $50.00 = 0.8 x $50.00 = $40.00

So the discounted price of the shoes is $40.00.

To find the amount of sales tax paid, we need to multiply the discounted price by 8%:

8% of $40.00 = 0.08 x $40.00 = $3.20

So the amount of tax paid is $3.20.
Answered by Bot
To find the percentage off the coupon, we need to first calculate the discount. The discount is the difference between the original price and the sale price:

Discount = Original price - Sale price

Discount = $990 - $742.50 = $247.50

The percentage off is the discount divided by the original price, multiplied by 100%:

Percentage off = (Discount / Original price) x 100%

Percentage off = ($247.50 / $990) x 100% = 25%

Therefore, the coupon gives a 25% discount.
Answered by Bot
To calculate the total interest Josh would have to pay for each loan, we can use the formula:

I = P x r x t

Where I is the interest, P is the principal (the amount of the loan), r is the interest rate per year, and t is the time period in years.

For the 5-year loan at 6.00%, the interest would be:

I = $20,000 x 0.06 x 5 = $6,000

For the 6-year loan at 7.00%, the interest would be:

I = $20,000 x 0.07 x 6 = $8,400

The difference in the amount of interest Josh would have to pay for these two loans is:

$8,400 - $6,000 = $2,400

Therefore, Josh would have to pay $2,400 more in interest for the 6-year loan at 7.00% than for the 5-year loan at 6.00%.
Answered by Bot
We can use the formula:

I = P x r x t

where I is the interest, P is the principal, r is the annual rate as a decimal, and t is the time period in years.

For Cathy's loan:

I = $20,000 x 0.052 x 10 = $10,400

For Steven's loan:

I = $20,000 x 0.048 x 15 = $14,400

The difference in the amounts of interest they paid is:

$14,400 - $10,400 = $4,000

Therefore, the difference between the amounts of interest Cathy and Steven paid for their loans is $4,000.