Mathematics, 21.01.2020 03:31 AdityaMathur

Ms. jamison plans to invest $3,800 in two accounts for one year. the first account earns a yearly interest of 3.5%. the second account earns a yearly interest of 6%. how much money does ms. jamison need to invest in the second account in order to earn $188 in interest from both accounts? show all of your work.

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Answer from: lollipopboo

The Amount investment in second account is $2200

Step-by-step explanation:

Given as :

Total money invested in two accounts = $3800

The time period of investment = t = 1 year

Let The amount investment in first account = $p

Let The amount investment in second account = $3800 - $p

The rate of interest for first account = r_1 = 3.5%

The rate of interest for second account = r_2 = 6%

The total interest earn from both account = s.i = $188

Let The interest earn from first account = s.i_1

Let The interest earn from second account = s.i_2

Now, From simple interest method

Simple interest = $\dfrac{\textrm principal\times \textrm rate\times \texrm time}{100}$

For First account

s.i_1 = $\frac{p\times r_1\times t}{100}$

i.e s.i_1 = $\frac{p\times 3.5\times 1}{100}$

Again

For second account

s.i_2 = $\frac{(3800-p)\times r_2\times t}{100}$

s.i_2 = $\frac{(3800-p)\times 6\times 1}{100}$

Since total interest earn from both account = s.i = $188

i.e s.i = s.i_2 + s.i_2

Or, s.i = $\frac{p\times 3.5\times 1}{100}$ + $\frac{(3800-p)\times 6\times 1}{100}$

Or, $188 = $\frac{p\times 3.5\times 1}{100}$ + $\frac{(3800-p)\times 6\times 1}{100}$

Or, 188 × 100 = 3.5 p + 22800 - 6 p

Or, 6 p - 3.5 p = 22800 - 18800

Or, 2.5 p = 4000

∴ p = $\frac{4000}{2.5}$

i.e p = $1600

So, The amount investment in first account = p = $1600

So, The amount investment in second account = $3800 - $p

i.e The amount investment in second account = $3800 - $1600

Or, The amount investment in second account = $2200

Hence, The Amount investment in second account is $2200 Answer

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

Answer from: Quest

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

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Ms. jamison plans to invest $3,800 in two accounts for one year. the first account earns a yearly in...