Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month?

After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $

<<280-40=240>>240k via her mortgage. As the mortgage is over 10 years, Danielle’s payments need to total $240k mortgage balance / 10 years = $<<240/10=24>>24k per year. So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month. #### 2 Dorothy is 15 years old and wants to go to a museum with her family. Her family consists of her, her younger brother, her parents, and her grandfather. The regular ticket cost is $10. People 18 years old or younger have a discount of 30%. How much money will Dorothy have after this trip, when she currently has $70? The discount per one ticket is 10 * 30/100 = $<<10*30/100=3>>3. So Dorothy's and her brother's tickets are cheaper by 2 * 3 = $<<2*3=6>>6. Her family consists of 5 people, so the ticket cost stands at 5 * 10 = $<<5*10=50>>50. Including the discount will lower the price to 50 - 6 = $<<50-6=44>>44 in total. Dorothy will be left with 70 - 44 = $<<70-44=26>>26. #### 26 Ruiz receives a monthly salary of $500. If he received a 6% raise, how much will be Ruiz's new salary? Ruiz has $500 x 6/100 = $<<500*6/100=30>>30 salary raise. Thus, his new salary is $500 + $30 = $<<500+30=530>>530. #### 530 John buys 2 packs of gum and 3 candy bars. Each stick of gum cost half as much as the candy bar. If the candy bar cost $1.5 each, how much did he pay in total? The gum cost $1.5/2=$<<1.5/2=.75>>.75 per pack So he pays $.75*2=$<<.75*2=1.5>>1.5 for the gum He pays $1.5*3=$<<1.5*3=4.5>>4.5 for the candy bars So in total, he pays $1.5 + $4.5 = $<<1.5+4.5=6>>6 #### 6 At Esme's school, there are 30 teachers and 45 staff members. On a Monday morning, The Best Pizza Inn brought pizza for the staff and teachers as a promotion offer. If 2/3 of the teachers and 4/5 of the staff members ate Pizza, how many non-pizza eaters are at Esme's school? The total number of teachers who ate pizza is 2/3*30 = <<2/3*30=20>>20 30-20 = <<30-20=10>>10 teachers did not eat pizza. The number of staff members who ate pizza is 4/5*45 = <<4/5*45=36>>36 The number of staff members who did not eat pizza is 45-36 = <<45-36=9>>9 The number of non-pizza eaters is 9+10 = <<9+10=19>>19 #### 19 Ginger is weaving mats out of colored straw. Each mat takes 20 red straws, 30 orange straws, and half as many green straws as orange straws. How many straws does she need to make 10 mats? First find the number of green straws each mat needs: 30 orange straws / 2 orange straws/green straw = 15 green straws Then find the total number of straws in each mat: 15 straws + 20 straws + 30 straws = <<15+20+30=65>>65 straws Then multiply that number by the number of mats to find the total number of straws Ginger needs: 65 straws/mat * 10 mats = <<65*10=650>>650 straws #### 650 Kaylin is five years younger than Sarah, who is twice as old as Eli, who is nine years older than Freyja. If Freyja is ten years old, how old is Kaylin? Since Freyja is ten years old, Eli is 10+9 = <<10+9=19>>19 years old. Sarah's age is twice Eli's, then Sarah is 2*19= <<2*19=38>>38 years old. Kaylin is five years younger than Sarah, then she is 38-5 = <<38-5=33>>33 years old. #### 33 Jane picked 64 apples at the orchard. She sorted them into 4 different baskets to send to her friends. When Jane wasn't looking her sister took 3 apples from each of the baskets. How many apples are in each basket now? Before her sister took some there were 64/4=<<64/4=16>>16 apples in each basket After her sister took some each pile had 16-3=<<16-3=13>>13 apples in each basket #### 13 The green piece of yarn is 156 cm long. The red yarn is 8 cm more than three times the length of the green yarn. What is the number of centimeters in the total length for the 2 pieces of yarn? Green = <<156=156>>156 cm Red = 3*156 + 8 = <<3*156+8=476>>476 cm 156 + 476 = <<156+476=632>>632 cm of yarn The two pieces of yarn have a length of 632 centimeters. #### 632 Bill is buying healthcare on an exchange. The normal monthly price of the plan he wants is $500. The government will pay for part of this cost depending on Bill's income: 90% if he makes less than $10,000, 50% if he makes between $10,001 and $40,000, and 20% if he makes more than $50,000. Bill earns $25/hour and works 30 hours per week, four weeks per month. How much will Bill spend for health insurance in a year? First find how much money Bill makes every week by multiplying his hourly rate by the number of hours he works each week: $25/hour * 30 hours/week = $<<25*30=750>>750/week Then multiply that number by the number of weeks per month to find his monthly earnings: $750/week * 4 weeks/month = $<<750*4=3000>>3,000/month Then multiply his monthly earnings by the number of months in a year to find his annual income: $3,000/month * 12 months/year = $<<3000*12=36000>>36,000/year. This income means Bill gets a 50% monthly healthcare subsidy from the government. Multiply the cost of the premium by 50% to find the monthly cost Bill pays: $500/month * .5 = $<<500*.5=250>>250/month Finally, multiply Bill's monthly cost by the number of months in a year to find his annual cost: $250/month * 12 months/year = $<<250*12=3000>>3,000/year #### 3000