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
valentinak56 [21]
3 years ago
5

Melissa decided to divide her $42,000 of savings into three investments: a savings account paying 5% simple interest, a time dep

osit account paying 7% simple interest, and a bond paying 9% simple interest. At the end of the year, she had earned $2600 from interest from all three investments. She also noted that she invested $6000 more in the savings account than the other two accounts combined.
Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

Answer:

Amount in savings account = $24,000

amount put into time deposit account = $11,000

amount put into bond account = $7,000

Step-by-step explanation:

Let x be amount put into savings account, y be amount put into time deposit account and z be amount put into bond account.

Thus;

0.05x + 0.07y + 0.09z = 2600 - - (eq1)

Also,

x + y + z = 42,000 - - - (eq2)

Now,we are told she invested 6000 more in the savings account than the other 2 combined. Thus;

x = 6000 + y + z

So,

x - y - z = 6000 - - - (eq3)

Solving the 3 equations simultaneously gives;

x = $24,000 ; y = $11,000 ; z = $7,000

You might be interested in
Jenny’s Gift Shop sells candles in a variety of packages. The cost per candle is the same in every package. A package of 8 candl
charle [14.2K]

Answer:

8 candle = $12.96

1 candle =($12.96/8)

= $1.62

package of 3 candles =3×$(1.62)

: =$4.86

4 0
3 years ago
How do you do these questions?
Lady bird [3.3K]

Answer:

(e) csc x − cot x − ln(1 + cos x) + C

(c) 0

Step-by-step explanation:

(e) ∫ (1 + sin x) / (1 + cos x) dx

Split the integral.

∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx

Multiply top and bottom of first integral by the conjugate, 1 − cos x.

∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx

Pythagorean identity.

∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx

Divide.

∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx

Integrate.

csc x − cot x − ln(1 + cos x) + C

(c) ∫₋₇⁷ erf(x) dx

= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx

The error function is odd (erf(-x) = -erf(x)), so:

= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx

= 0

7 0
3 years ago
15/12, 0.4, 42%, 0.416 least to greatest
stellarik [79]
What number is least to greatest
5 0
3 years ago
Read 2 more answers
Angle Q = 85° Determine angle O.
kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0
2 years ago
Solve for each equation a)3(x-5)=6 b) 2(x-2/3)=0 c. 4x-5=2-x
Dovator [93]

Answer:

A= 7   B= 0.6  C= 1.4

Step-by-step explanation:

go to m a t h w a y . c o m

8 0
3 years ago
Read 2 more answers
Other questions:
  • Help Im still stuck i hate geometry
    5·1 answer
  • What percentage of the total hours was spent jogging
    13·1 answer
  • Is problem 21 right?
    6·1 answer
  • 11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side
    13·1 answer
  • AaaHHHHH I NEED MORE HELP!!
    14·1 answer
  • Which model could represent the solution to 2/3 - 1/2?
    5·1 answer
  • 6th grade math i mark as brainliest​
    6·1 answer
  • What is the area, in square units, of trapezoid ABCD shown below?
    8·1 answer
  • Help plz. <br><br><br><br> 3:5=____%
    6·1 answer
  • 4 less than four times a number is equal to three times the same number plus 1
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!