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
Lyrx [107]
2 years ago
11

Phyllis invested $50,000 in two different types of stock. The first type earned 10% and the second type earned 15%. If the profi

t on the 15% stock was $2,500 more than the profit on the 10% stock, how much did Phyllis invest in the 15% stock?​
Mathematics
1 answer:
bekas [8.4K]2 years ago
5 0

Answer:

$ 30,000

Step-by-step explanation:

0.15(50,000 - x) - 0.1x = 2,500

7,500 - 0.15x - 0.1x = 2,500

7,500 - 2,500 = 0.15x + 0.1x

5,000 = 0.25x

5,000/0.25 = x

x =20,000

50,000 - 20,000 = 30,000

0.15 * 30,000 = $4,500

0.1 * 20,000 = $2,000

$4,500 - $2,000 = $2,500

You might be interested in
The price of gasoline is $3.15 the price when Ryan's mother start drawing was 4/7 of the current price what was the price of the
zlopas [31]

Answer:

$3

Step-by-step explanation:

5 0
3 years ago
Harvey decided to make chocolate pudding pies for a celebration. He had to make 4 pies. Each pie needed 2 quarts of milk. How ma
Blababa [14]

Answer:

He will need 16 pints.

Step-by-step explanation:

2 pints per quart

2 quarts = 4 pints

4 x number of pies (4)

16

3 0
2 years ago
Read 2 more answers
Which algebraic expression represents this phrase ? The product of 40 and the distance to the finish
erik [133]
The answer to this question is 30
4 0
2 years ago
F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?
Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

l_{HF} = \sqrt{\left (4-7  \right )^{2}+\left (1-(-11)  \right )^{2}} = \sqrt{\left (-3  \right )^{2}+\left (12  \right )^{2}} = 3\cdot \sqrt{17}

Similarly, we check the length of HJ, to get;

l_{HF} = \sqrt{\left (3-7  \right )^{2}+\left (5-(-11)  \right )^{2}} = \sqrt{\left (-4  \right )^{2}+\left (16  \right )^{2}} = 4\cdot \sqrt{17}

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0
3 years ago
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
2 years ago
Other questions:
  • Can you solve these problems?<br><br>Worth-10 points
    6·1 answer
  • What is 2 equivalent fractions to the fraction 4/7
    15·1 answer
  • A(n) in the money supply will cause interest rates to decrease, which, in
    12·1 answer
  • HELPPPP MEEEEE URGENT DUE IN 1 HOUR!!!!!
    11·1 answer
  • PLS HELP!!
    14·2 answers
  • -6x+3y=-7 x-intercept
    9·2 answers
  • Which equation represents the line through the points (3,2) and (-9,6) ?
    12·1 answer
  • I really need help I’ve been on it foreverr help please
    13·2 answers
  • I NEED HELP UNDERSTANDING BOTH OF THESE QUESTIONS
    5·1 answer
  • Rewrite the expression 24x - 12 using the distributive property? Find eight equivalent expressions.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!