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
AfilCa [17]
3 years ago
10

Ask Your Teacher Equal amounts are invested at 2%, 7%, and 9% annual interest. If the three investments yield a total of $828 an

nual interest, find the total investment.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

$4600

Step-by-step explanation:

Write an equation to represent the problem.

Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).

Convert a percentage to decimal form by dividing by 100:

2% ÷ 100 => 0.02

7% ÷ 100 => 0.07

9% ÷ 100 => 0.09

let "P" represent the amount of money for the total investment

0.02P + 0.07P + 0.09P = 828

Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).

0.02P + 0.07P + 0.09P = 828        Collect like terms

0.18P = 828        Isolate "P"

0.18P/0.18 = 828/0.18        Divide both sides by 0.18

P = 828/0.18         "P" is isolated because 0.18 cancelled out. Simplify.

P = 4600        Total investment

Therefore the total investment is $4600.

You might be interested in
Will mark brainlyist if right please helpp!!
Len [333]

Answer:

Step-by-step explanation:

7 0
2 years ago
John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present
Margaret [11]
(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24
6 0
3 years ago
Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son...
AleksandrR [38]

Answer:

Para resolver correctamente el ejercicio debemos seguir los pasos que se muestran en la explicación.

Step-by-step explanation:

El ejercicio enunciado de manera completa es el siguiente:

7.Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son:  

(la gráfica del ejercicio se guardo como archivo adjunto)

-a = 8 cm y b = 10

-a = 9 cm y b = 11

-Ninguna de las respuestas anteriores es correcta.

<em>SOLUCIÓN:</em>

<em>Pasos:</em>

-Primero debemos hallar el valor de a, la gráfica nos indica que debemos hacer,tenemos que restar 15 de 6; entonces:

a= 15cm -6cm=9 cm

-Ahora debemos aplicar el teorema de thales  ;como los segmentos son proporcionales podemos establecer la siguiente relación de esa manera podemos hallar el valor del segmento b;

   \frac{9}{b}=\frac{6}{7} ( para resolver debemos multiplicar en cruz)

 (9x7)=6xb

 63=6b (aquí debemos hallar el valor de b,para eso b pasa a dividir a 63)

  \frac{63}{6}= b

b= 10.5 cm

La respuesta correcta es:   a= 9cm y b= 10.5 cm

(De las opciones de respuesta dadas en el ejercicio ,ninguna corresponde a la respuesta hallada)

8 0
2 years ago
Nora and Owen do business as Profit &amp; Property, a real estate investment partnership. In acting on the firm’s behalf in a de
il63 [147K]

Answer:

breach of the duty of loyalty

Step-by-step explanation:

The deal with Quaint Village Mall was not for her personally but for her firm so for her to make a secret profit and take advantage of such an opportunity is a breach of the duty of loyalty which she is liable of.

If an employee makes a decision for the corporation that profits both him and the corporation. The duty of loyalty is breached when the employee, his or her interest in front of that of the corporation.

4 0
3 years ago
Use the Distributive Property to expand 6(-4x + 3y).​
Anna11 [10]

Answer:

-24x + 18y

Step-by-step explanation:

6 x -4x = -24x

6 x 3y = 18y

7 0
3 years ago
Other questions:
  • What is the LCM of 1/3 and 2/5
    10·1 answer
  • without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many ra
    6·1 answer
  • Number 6 and 7 asap please help
    5·2 answers
  • What is the 7th term of (x+y)^10?
    12·1 answer
  • Select the correct answer. What is 2 1/2 divided by 1/3? A. 3 1/2 B. 7 1/2 C. 7 1/6 D. 2/15
    10·2 answers
  • If a square has breath of 13 cm what would be the lenght and perimeter ?​
    6·1 answer
  • Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.
    6·1 answer
  • Alexis has a wooden box that is shaped like a rectangular prism. The box measures 8 in. Wide, 9 in. Long, and 4 in. Tall on the
    11·1 answer
  • Please answer this thoroughly.
    13·1 answer
  • Question
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!