1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fiesta28 [93]
3 years ago
13

Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year

ago Nico had been given 5,000.His parents made him put it in the bank and save it for college,but the said he could keep the interest it earned each year.A portion of his money is deposited in a high rate account that earned 8% annual interest.The rest is in a regular account that earned 3% this year.Both accounts pay simple interest computed at the end of the year.How much of Nicos money was invested in each account.
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

Investment A = 3650

Investment B = 1350

Step-by-step explanation:

Given that:

Total interest earned = 332.50

Total Principal invested = 5000

Investment A:

Rate = 8%

Time = 1 year

Principal = a

Interest earned = 0.08a

Investment B:

Rate = 3%

Time = 1 year

Principal = b

Interest earned = 0.03b

a + b = 5000 ____(1)

0.08a + 0.03b = 332.50 - - - (2)

From (1)

a = 5000 - b

Into (2)

0.08(5000 - b) + 0.03b = 332.50

400 - 0.08b + 0.03b = 332.50

400 - 0.05b = 332.50

-0.05b = - 67.5

b = $1350

a = 5000 - b

a = 5000 - 1350

a = $3650

You might be interested in
One canned juice drink is 15​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Vaselesa [24]

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

              L      *      % juice    =         %L

That is the main set up for the table.  We will put in values for the percent juice right away, because they were given to us.  Remember that percentages need to be expressed as decimals in order to use them in equations.

              L     *       % juice       =        %L

15%                          .15

10%                          .10

___________________________________

13%                           .13

Easy enough so far.  We know that the 15% juice canned juice contains 15% juice.  No secrets there at all.  We also made a row for the mixture that needs to be 13% juice.  Next we know that the total amount of the mixture has to be 5 liters.  If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice.  Filling in we have:

             L      *      % juice       =       %L

15%        x                   .15

10%      5 - x                .10

______________________________

13%         5                   .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

             L      *      % juice      =       %L

15%        x     *          .15           =      .15x

10%      5-x    *          .10          =     .10(5 - x)

__________________________________

13%         5      *        .13           =     .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

6 0
3 years ago
If a hypothesis is not rejected at the 0.10 level of significance, it: a. may be rejected at the 0.05 level. b. must be rejected
mariarad [96]

Answer:

Option D - Will not be rejected at the 0.05 level.

Step-by-step explanation:

The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.

Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.

Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.

Thus, looking at the options, we will not reject at 0.05 significance level.

4 0
3 years ago
Can somebody solve this multi-step equation?<br> 4(x-2)=4x
ladessa [460]
Download the aappp called Socratic
3 0
3 years ago
You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and
shutvik [7]

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

4 0
3 years ago
What is 2/3 as a percent with one decimal place​
Doss [256]
2/3 is .666666 so that would be the percent
3 0
3 years ago
Other questions:
  • A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
    9·2 answers
  • Define a variable. Then write and solve an equation for each situation.
    15·2 answers
  • At the calendar shop, wall calendars cost $8 and desk calendars cost $10. Steve spent $42 to buy 5 calendars. How many of each t
    8·2 answers
  • Find all solutions to
    5·1 answer
  • A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
    7·1 answer
  • Which of the following correctly simplifies the expression( IMAGE BELOW )
    8·1 answer
  • Please help me!!!!!!!
    11·1 answer
  • Jim rent a car for the weekend can choose 1 of 2 plans the first plan has $55 initial cost an additional 0.80 per mile driven T
    7·1 answer
  • HURRY PLEASE IM NEED HELP!!!!!!
    5·1 answer
  • 216.666 / 1- (1.0054)-120
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!