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question:Lisa owns a small bakery in the city and is worried about the rising cost of renting her commercial space. Last year, she paid 1,200 per month for rent. This year, her rent increased by 15%. To manage her expenses, Lisa decides to find a new space that costs 10% less than her current rent. How much will Lisa pay per month in rent if she moves to the new space?
answer:First, I need to determine Lisa's current rent after the 15% increase. Last year, she paid 1,200 per month. To find the increased rent, I'll calculate 15% of 1,200 and add it to the original amount.Next, Lisa wants to find a new space that costs 10% less than her current rent. After calculating the increased rent, I'll find 10% of that amount and subtract it from the current rent to determine the new monthly rent she will pay.
question:Sarah is a happy customer of Newport Marine Electrical, a company specializing in marine electronics. She recently purchased a new marine battery charger and some LED navigation lights for her sailboat. The battery charger costs 150, and each LED navigation light costs 25. Sarah bought one battery charger and four LED navigation lights. If Newport Marine Electrical offered her a 10% discount on her entire purchase, how much did Sarah spend in total after the discount?
answer:First, I need to calculate the total cost of the items Sarah purchased before applying the discount. She bought one battery charger for 150 and four LED navigation lights, each costing 25. Next, I'll determine the total cost of the LED lights by multiplying the cost of one light by the number of lights she purchased. After finding the total cost of all items, I'll apply the 10% discount offered by Newport Marine Electrical. To do this, I'll calculate 10% of the total cost and then subtract that discount from the total cost to find the final amount Sarah spent.
question:A voguish supporter of the Hartlepool United Football Club Women Organization decides to attend every home game for the upcoming season. The season consists of 15 home games. For each game, the supporter wears a different stylish outfit, with each outfit costing an average of £75. Additionally, the supporter spends £10 on snacks and £5 on a program for each game. Calculate the total amount of money the supporter spends throughout the season on outfits, snacks, and programs for all the home games.
answer:First, I need to determine the cost of the outfits for all 15 home games. Each outfit costs £75, so multiplying 15 by £75 gives the total outfit expense.Next, I'll calculate the total spending on snacks. The supporter spends £10 on snacks for each game, so multiplying 15 by £10 will provide the total snack expenditure.Then, I'll find out the total cost of the programs. Each program costs £5, so multiplying 15 by £5 will give the total program expense.Finally, I'll add up the total costs for outfits, snacks, and programs to find the overall amount the supporter spends throughout the season.
question:Alex is an entrepreneur who runs a dating app that matches people based on their personality traits. To enhance the app's performance, Alex wants to implement a new feature that considers 5 key personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism. Each trait is scored on a scale from 0 to 20. Alex has collected data from 15 users and found the following average scores for each trait:- Openness: 14- Conscientiousness: 12- Extraversion: 15- Agreeableness: 16- Neuroticism: 10To better understand the compatibility between users, Alex decides to assign a compatibility score that is the sum of the average scores for openness, conscientiousness, and agreeableness, minus the average score for neuroticism, and then multiplied by the average score for extraversion.What is the compatibility score Alex calculates to implement in the new feature of the dating app?
answer:First, I need to identify the average scores for each of the five personality traits provided by Alex. The scores are as follows:- Openness: 14- Conscientiousness: 12- Extraversion: 15- Agreeableness: 16- Neuroticism: 10Next, I will calculate the sum of the average scores for openness, conscientiousness, and agreeableness. This means adding 14, 12, and 16 together.After obtaining the sum, I will subtract the average score for neuroticism from this total. This involves subtracting 10 from the previous sum.Finally, I will multiply the result from the subtraction by the average score for extraversion, which is 15. This will give the final compatibility score that Alex can use in the new feature of the dating app.
question:Alex is a military vehicle enthusiast who loves collecting model tanks. He recently added some new models to his collection. He started with 15 model tanks. Over the weekend, he bought 3 new tanks from the military surplus store. A friend gifted him 5 more tanks on his birthday. Then, Alex decided to sell 4 of his older models to make space for new ones. How many model tanks does Alex have in his collection now?
answer:First, Alex starts with 15 model tanks.Over the weekend, he buys 3 new tanks, increasing his collection to 15 + 3 = 18 tanks.On his birthday, a friend gifts him 5 more tanks, bringing the total to 18 + 5 = 23 tanks.Alex then decides to sell 4 of his older models, reducing his collection to 23 - 4 = 19 tanks.Therefore, Alex now has 19 model tanks in his collection.
question:An experienced electrician is inspecting a house and finds that there are three rooms with electrical hazards. In the first room, he identifies 5 faulty outlets, in the second room, there are 3 faulty outlets, and in the third room, there are 4 faulty outlets. The electrician charges 20 to fix each faulty outlet. If he fixes all the faulty outlets in the house, how much will he earn in total?
answer:First, I need to determine the total number of faulty outlets in the house by adding the outlets from each room.In the first room, there are 5 faulty outlets.In the second room, there are 3 faulty outlets.In the third room, there are 4 faulty outlets.Adding these together: 5 + 3 + 4 = 12 faulty outlets.Next, I'll calculate the total earnings by multiplying the number of faulty outlets by the cost to fix each one.The electrician charges 20 per faulty outlet.So, 12 outlets × 20 = 240.Therefore, the electrician will earn a total of 240 for fixing all the faulty outlets.