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
Inessa05 [86]
3 years ago
10

Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4

% and still be guaranteed at least 700 per year
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

Step-by-step explanation:

The simple interest formula is P * r * t = I, where P is the initial investment, r is the interest rate in decimal form, t is the time in years.  This problem would be best solved by making a table, one row for account 1 and one row for account 2 with the formula along the top:

              P     *     r     *     t     =     I

acct 1

acct 2

First let's fill in our years.  The words "per year" were used, so the time in each row is a 1:

            P     *      r      *      t       =      I

acct 1                                 1

acct 2                                1

Now let's fill in the interest rates as decimals:

         P     *     r     *     t     =     I

acct 1            .04          1

acct 2           .05          1

Now for the principle amount.  If all we have to invest is 16000 and we put x into one account, then all we have left to put into the other account is what's left after taking x out of 16000, or 16000 - x.

                     P      *      r      *      t      =      I

acct 1             x           .04           1

acct 2   16000 - x       .05          1

The formula tells us that we multiply the P times the r times the t to get I, so lets do that.  Multiply straight across the top to get an interest of .04x.  Multiply straight across the bottom to get an interest of .05(16000 - x) which, after distributing, is 800 - .05x:

                 P      *      r      *      t      =      I

acct 1         x           .04            1      =    .04x

acct 2   16000-x    .05            1      =   800 - .05x

We need the amount of interest that we earn from both of these accounts to equal 700, so add the last column and set it equal to 700:

.04x + 800 - .05x = 700.  Combine like terms to get

-.01x = -100 so

x = 10,000

That means that the account which has an interest rate of 4% can have 10,000 in it while the other account has 6,000 in it.

You might be interested in
Tierra bought 4 3/8 yards blue ribbon and 2 1/8 yards yellow ribbon for a craft project. how much more blue ribbon than yellow r
jasenka [17]
4 3/8-2 1/8=2 1/4 is the answer
7 0
3 years ago
Read 2 more answers
Find the length of a B leave your answers in the terms of pi
algol [13]

Answer:

AB = 6*120*pi/180 = 4pi

8 0
2 years ago
CAN WE JUST TALKKK CAN WE JUST TALKKK CAN WE JUST MOVE A LITTLE SLOWER SO WE DONT GET LOST CANT WE JUST CANT WE JUST TALK SO WE
Diano4ka-milaya [45]
Ahahah ^-^




have a good day
5 0
3 years ago
Read 2 more answers
Question 1
Alex777 [14]
Riki ...
Most questions on Brainly offer 5 points in return for answering one question,
but here you've listed five of them to be answered for 5 points.  That's kind of
much.
Also, it's not clear what cylinders Question-2 and Questioin-3 refer to. 
They might be the two pictures under the question, but we don't rally know.
Fortunately, all five of your questions are answered with the same formula ...
the formula for the volume of a cylinder.
Here it is:

         Volume of a cylinder = ( π ) · (radius)² · (height or length)  .

                                       V  =  π  R²  H  .

That's it.  That's all you need to answer any or all of the five questions.
So I've actually given you everything you need to answer them, and in
doing that, I've already earned 5 points.  But, being the ever helpful guy
that I am, I'll work out two of the questions for you, to show you how to
use the formula.

Question #1).  <span>A cylinder has a radius of 14 m and a height of 6 m.

              </span>Volume  =  π  R²  H 

                           =  (π)  (14m)²  (6m)

                           =  (π)  (196m²)  (6m)

                           =      1,176 π  m³  =  71,763,930 π in³

(Notice how confusingly and sloppily the question is written . . .
the dimensions of the cylinder are given in meters, but the
answer choices are listed in cubic-inches.  I've shown the
answer in both units.)

Question 5).  <span>A can has a radius of 2.8 feet and holds 86.21 cubic feet.

           </span><span>Volume  =  π  R²  H

           86.2 ft³  =  π (2.8 ft)² (Height)

            86.2 ft³  =  π (7.84 ft²) (Height)

           Height  =  (86.2 ft³) / (7.84 π ft²)

                        =         3.5 ft

</span>
5 0
3 years ago
Multiplying binomials using area model.
Kazeer [188]

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please help im bad at math
    7·1 answer
  • CAN SOMEONE HELP ME PLEASE ?
    7·2 answers
  • Show that the number 6 is a rational number by finding a ratio of two integers equal to the number.
    12·1 answer
  • A bathtub in the shape of a rectangular prism is 5 feet long 3 1/2 feet wide and 4 1/4 feet high. How much water could th tub ho
    14·2 answers
  • Would love some help on this! Please include step by step Have a good day!
    9·1 answer
  • Find the percent of decrease from 270 to 200. Round to the nearest 10th of a percent if necessary.
    12·1 answer
  • Which equation represents a proportional relationship between the x and y values?
    13·1 answer
  • I’m confused about #6, anyone know the answer?
    12·1 answer
  • PLS HELP... What value of x satisfies the equation below? 5(x - 3)= 10x + 5
    15·2 answers
  • Simplify each expression <br> 24/(3 + 2²)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!