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Minchanka [31]
3 years ago
5

Last year, Josh had $20,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invest

ed the rest in an account that paid 9% simple interest per year. After one year, he received a total of $1560 in interest. How much did he invest in each account?
Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer: $12000 was invested at 7% while $8000 was invested at 9%.

Step-by-step explanation:

Based on the information given in the question, let the amount that was invested at 7% be n.

Therefore,

0.07n + 0.09(20000 - n) = 1560

0.07n + 1800 - 0.09n = 1560

-0.02n = 1560 - 1800

-0.02n = -240

n = 240/0.02

n = 120

Therefore, $12000 was invested at 7% while $8000 was invested at 9%.

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As used in line 50, "reason" most nearly means
mr_godi [17]

Correct option is C. As used in line 50, "reason" most nearly means intellect.

<h3>Line from the passage - </h3>

Line 50: ...unless freedom strengthens her reason till she comprehends her duty, and sees in what manner it is connected with her real good?

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

" That half the human race is excluded by the other half from any participation in government; that they are native by birth but foreign by law in the very land Line where they were born; and that they are

5 property-owners yet have no direct influence or representation: are all political phenomena apparently impossible to explain on abstract

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

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open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

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3 0
1 year ago
Help please!!
IRINA_888 [86]
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7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the points (2,5), (0,5)​
KatRina [158]

Answer:

y = 5

Step-by-step explanation:

1. This line is horizontal, because the y-coordinate never changes.

2. The equation for a horizontal line is y = (y-coordinate)

3. The y-coordinate is always 5, so the equation is y = 5.

7 0
3 years ago
Sean took 4 hours to travel from Town A to Town B at an
labwork [276]

Answer:

Tina's average speed  for the whole journey = 56 kmph

Step-by-step explanation:

Time taken by Sean to travel from Town A to Town B = 4 hours.

Average speed of Sean = 70 km/h

We have equation of motion, s = ut + 0.5 at²

Time, t = 4 hours.

Initial speed, u = 70 km/hr

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      s = 70 x 4 + 0.5 x 0 x  4²

       s = 280 km

Distance from Town A to Town B = 280 km

Tina took 1 hour more than Sean.

Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours

We have equation of motion, s = ut + 0.5 at²

Time, t = 5 hours.

Displacement, s = 280 km

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      280 = u x 5 + 0.5 x 0 x  5²

       u = 56 km/hr

Tina's average speed  for the whole journey = 56 kmph

6 0
3 years ago
Okay that it 5^4x-13=125
Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

    1                    

 (((—)4) • x) -  13) -  125  = 0

    5                    

STEP

2

:

Equation at the end of step

2

:

    1                

 ((—— • x) -  13) -  125  = 0

   54                

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

         13     13 • 625

   13 =  ——  =  ————————

         1        625  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625)     x - 8125

——————————————  =  ————————

     625             625  

Equation at the end of step

3

:

 (x - 8125)    

 —————————— -  125  = 0

    625        

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

          125     125 • 625

   125 =  ———  =  —————————

           1         625  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

(x-8125) - (125 • 625)     x - 86250

——————————————————————  =  —————————

         625                  625  

Equation at the end of step

4

:

 x - 86250

 —————————  = 0

    625  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-86250

 ——————— • 625 = 0 • 625

   625  

Now, on the left hand side, the  625  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-86250  = 0

Solving a Single Variable Equation:

5.2      Solve  :    x-86250 = 0

Add  86250  to both sides of the equation :

                     x = 86250

One solution was found :

x = 86250

                 

7 0
2 years ago
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