48000 people voted in the last election in the town of Southboro. If only 55% of the registered voters voted in the last election, how many people are registered to vote?
I got 87,273
Nik put $264 in a savings account that pays 3% annual interest. How much will he have in his account in 6 monthes?
I don't know how to do this one
Maria wanted to buy a coat that regularly sells for $120.It is on sale for 35% off and the sales tax is 6%. what is the total cost of the coat?
I got $85
Noah received a credit card on his 18th birthday that charges a 22.9% annual rate of interest. If he spent $3000 the day he received his credit card and never made any payments, how much money will he owe on his 38th birthday?
I don't know this one
Zach went into a store A and spent 40% of his money. He spent 25% of his remaining money at store B. He then spent all but 20% of what was left. He ended up with $27 left over, how much money did zach start with?
I got 112
The largest bird able to fly weighed approximately 150 pounds. A typical bird today might weigh 1/2 pound. The weight of a bird today is what percent of the weight of the Pterodactyl?
I got 2.25
To find the number of people registered to vote, you can use the fact that only 55% of registered voters voted in the last election. Since 48000 people voted, you can set up the equation:
0.55 * Total Registered Voters = 48000
To solve for Total Registered Voters, you divide both sides of the equation by 0.55:
Total Registered Voters = 48000 / 0.55
Calculating this, you get 87272, which matches your answer of 87273 (there might be a slight rounding difference).
For the second question about the savings account, to find out how much Nik will have in his account after 6 months with a 3% annual interest rate, you can use the formula for compound interest:
A = P(1 + r/n)^(n*t)
Where:
A = the final amount
P = the initial principal (the amount Nik originally put in the account)
r = the annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
In this case, Nik deposited $264, the annual interest rate is 3% (or 0.03 as a decimal), the time is 6 months or 0.5 years, and since it's not mentioned, let's assume the interest is compounded annually (n = 1).
Substituting the values into the formula, you get:
A = 264 * (1 + 0.03/1)^(1*0.5)
Calculating this, you get approximately $267.36, which is the amount Nik will have in his account after 6 months.
For the third question about the total cost of the coat, you correctly calculated the sale price, but you need to add the sales tax as well. Let's break it down step by step.
First, calculate the sale price by taking 35% off the regular price of $120:
Sale Price = $120 - 0.35 * $120
Calculating this, you get $78.
Next, calculate the amount of sales tax on the sale price:
Sales Tax = 0.06 * $78
Calculating this, you get $4.68.
Finally, add the sale price and the sales tax to get the total cost of the coat:
Total Cost = $78 + $4.68
Calculating this, you get $82.68.
So the total cost of the coat is $82.68.
For the fourth question about the amount of money Noah will owe on his 38th birthday, we need to take into account the 22.9% annual interest rate and the fact that he made no payments.
Since Noah never made any payments, the balance of his credit card debt will keep accumulating with the 22.9% annual interest rate.
To calculate the amount he will owe on his 38th birthday, we can use the compound interest formula for the future value of a present sum:
FV = PV * (1 + r)^t
Where:
FV = the future value (the amount he will owe)
PV = the present value (the amount he spent on the credit card)
r = the annual interest rate (as a decimal)
t = number of years
In this case, Noah spent $3000, the annual interest rate is 22.9% (or 0.229 as a decimal), and he will owe the amount on his 38th birthday, which is 20 years from now.
Substituting the values into the formula, you get:
FV = $3000 * (1 + 0.229)^20
Calculating this, you get approximately $15675.31, which is the amount Noah will owe on his 38th birthday.
For the fifth question about Zach's initial amount of money, let's break down the problem step by step.
Zach spent 40% of his money at store A, which means he had 60% remaining.
He then spent 25% of his remaining money at store B, which means he had 75% (100% - 25%) of his remaining money left.
Finally, he ended up with $27, which is equivalent to 20% of the money he had left.
Let's assign a variable to the amount of money Zach started with, let's call it 'X'.
This means that:
0.2 * 0.75 * 0.6 * X = $27
Solving for X, you divide both sides of the equation by 0.2 * 0.75 * 0.6:
X = $27 / (0.2 * 0.75 * 0.6)
Calculating this, you get $112.50, which is the amount Zach started with.
For the last question about the weight of a bird today as a percentage of the weight of a Pterodactyl, you correctly calculated 2.25.
To calculate this, you divide the weight of a bird today (0.5 pounds) by the weight of a Pterodactyl (150 pounds) and then multiply by 100:
(0.5 / 150) * 100 = 0.003333... * 100 = 0.333... %
Rounded to two decimal places, this equals approximately 0.33%. However, it seems there might be a mistake in your calculation, resulting in 2.25%. The correct calculation should be approximately 0.33%.