![ciarrap552](/avatars/40058.jpg)
ciarrap552
15.10.2020 •
Mathematics
Brandon has 36000 to invest and wants to earn 5% interest per year. He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year. How much money should he put into each account so that he earns 5% annually
Solved
Show answers
More tips
- P Photography and Videography What is lens calibration and why is it needed?...
- F Family and Home Stay Warm but Don t Overheat: What is the Optimal Temperature for Your Home During Winter?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics How can you make 100? 1 2 3 4 5 6 7 8 9 = 100 fill in the gaps with suitable operations (+×,÷,) to make 100 i need two ways to make 100! me ! 15 points!...
- B Biology Green Puck: 100 g (Less Mass) Speed: 14 m/s Speed: 24 m/s (sped up by 10 m/s) Black Puck: 170 g (More Mass) Speed: 20 m/s Speed: 30 m/s (sped up by 10m/s) Purple Puck: 170...
- S Social Studies Aresearcher measures the galvanic skin response (gsr), or degree of sweating, of people holding a clear plastic jar containing a spider. she compares the gsrs of people...
- B Business During August, Boxer Company sells $363,000 in merchandise that has a one year warranty. Experience shows that warranty expenses average about 4% of the selling price. The...
- M Mathematics colby rolls a number cube 50 times. she recorded the result of each roll and organizes her data in the table below What fraction of the rolls are 2 S? what percent is this?...
- M Mathematics I m TIMED Which is the graph of a quadratic equation that has a positive discriminant? у 5 13 1 5 -4 -3 -2 -14 1 2 3 4 5 -2- 99 w5...
Ответ:
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
Step-by-step explanation:
Interest = Principal × Rate × Time
Let x = money saved in account A
Let y = money saved in account B
Brandon has 36000 to invest and wants to earn 5% interest per year
x + y = 36000 Equation 1
x = 36000 - y
He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.
Hence:
4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1
0.044x + 0.06y= 1800 Equation 2
Substitute 36000-y for x in Equation 2
0.044(36000 - y) + 0.06y = 1800
1584 -0.044y + 0.06y = 1800
-0.044y + 0.06y = 1800 - 1584
0.016y = 216
y = 216/0.016
y = 13500
Note that:
x = 36000 - y
x = 36000 - 13500
x = 2250
Therefore,
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
Ответ: