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
Mandarinka [93]
3 years ago
5

An executive invests $22,000 some at 7% ad some at 6% annual interest. If he receives an annual return of $1,420, how much is in

vested at each rate?
Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

he invested $10,000 at 7% and $12,000 at 6%

Step-by-step explanation:

  • There are 2 equations that appear from this problem
  • X+Y=22,000 and 0.07x + 0.06y = 1420
  • Lets start by simplifying X+Y=22000

Y = 22000 - x

  • now plug this into the Y value for the other equation

0.07x + 0.06(22000-x) = 1420

0.07x + 1320 -0.06x = 1420

0.01x = 100

X = 10000

  • now plug 10000 into x for the simplified equation

Y = 22000 - 10000

Y = 12000

You might be interested in
How is 9.746 x 1013 written in standard form?
sammy [17]

Answer:

9872.698 is 9.746 x 1013 in standard form

4 0
3 years ago
In which branch of statistics would a researcher acquire twenty-five 2000 Toyota Celicas, drive them until they had a major mech
AURORKA [14]

Answer:

The answer is "descriptive statistics".

Step-by-step explanation:

Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.

6 0
3 years ago
the starving actors guild holds its annual winter arts festival in hopes of raising $13,344 by selling 824 tickets. The guild ch
kap26 [50]
A + c = 824                             represents number of tickets to sell
20a + 12c = 13,344                represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
 20a + 12c = 13,344         add equations together
-----------------------------
    8a          = 3456           divide both sides by 8
     a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392
8 0
3 years ago
Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?
Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

5 0
3 years ago
One canned juice drink is 25​%orange​ juice; another is 10​%orange juice. how many liters of each should be mixed together in or
sertanlavr [38]
               Qty     ·     %      =      Total
Drink 1:    x            .25      =      .25x
Drink 2:   15 - x      .10      =      .10(15 - x)
Mixture:  15            .21     =       .25x + .10(15 - x)

                       (15)(.21)   =     .25x + 1.5 - .10x
                           3.15      =     .15x + 1.5
                           1.65      =     .15x
                               11     =       x

Drink 1 (25%) is 11 liters
Drink 2 (10%) is 15 - 11 = 4 liters
6 0
3 years ago
Other questions:
  • Helpppppppppppppppppppppppppppppppppp
    14·1 answer
  • Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.
    9·1 answer
  • Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
    6·1 answer
  • Conseder two unique parallel lines. What aspects of there two lines are the same?
    12·1 answer
  • Y-8=3/5(x-5) <br> write this equation in slope-intercept form
    15·1 answer
  • A total of 9 cycles have been observed during a time study. The mean for the largest element time = 0.80 min, and the correspond
    10·1 answer
  • write the ratio as a fraction in simplest form. with whole numbers in the numerato and denominator. 40g : 64g​
    8·1 answer
  • The probability distribution for a
    14·1 answer
  • Find the height of a cylinder with a volume of 12157 mm3 and a radius of 9 mm.
    14·1 answer
  • I need help please and thank you
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!