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zlopas [31]
3 years ago
14

A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds i

s to exceed that in CDs by $3000, how much will be invested in each type of investment?
​
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000  Eq. 1

b = c + 3000  Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

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Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer
Aloiza [94]
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
7 0
3 years ago
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
Mariulka [41]
This problem requires the use of the chain rule: dy / dt = [dy / dx] * [dx / dt]

y = √x => dy / dx = 1 / (2√x)

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dy/dt = [ 1/(2√x) ]  * 7 = [1/(2*4)] * 7 = 7/8

(b) Find dx/dt, given x = 64 and dy/dt = 8.

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6 0
2 years ago
Read 2 more answers
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department a
Sunny_sXe [5.5K]

The Moon Company's equivalents units for <em>transferred-in cost, direct materials, and conversion cost</em> are 74,800 / 101,200 / 86,800 respectively.

Data and Calculations:

Percentage of completion:

Beginning work in process = 80%

Ending work in process = 30%

Beginning inventories:

Transferred-in costs = $30,800

Direct materials costs = $13,200

Conversion costs = $27,500

Physical Flows of Units:

Beginning WIP = 26,400

Units transferred in from Cutting Department = 74,800

Total production units available = 101,200 (26,400 + 74,800)

Units completed and transferred out = 79,200

Ending WIP = 22,000

                                 Transferred-in   Direct Materials   Conversion

Units transferred out                                   79,200             79,200

(79,200 x 100%)

Units transferred-in         74,800                          0                      0

(74,800 x 100%)

Ending WIP                                0               22,000 (100%)   6,600 (22,000 x 30%)

Total equivalent units    74,800              101,200             86,800

Thus, the equivalent units for the Finishing Department are determined based on the percentage of completion under the Weighted Average Method.

Learn more: brainly.com/question/17078653

4 0
3 years ago
Every pair of students brought in five pies. How many pies per person were brought in
azamat

Answer:

  2.5 pie/person

Step-by-step explanation:

(5 pie)/(2 person) = (5/2) pie/person = 2.5 pie/person

3 0
3 years ago
A team played 20 games and won 18. what % did they win?
maxonik [38]

<u>Answer:</u> 90%

<u>Reasoning:</u> To solve this divide 18 by 20

18/20= 0.9

Now multiply 20 by 0.9 to check

20 x 0.9= 18


8 0
2 years ago
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