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
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

You might be interested in
A ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1​
kati45 [8]

Answer:

D. 5/1

Step-by-step explanation:

10/2 = 5

5/1 = 5

I hope this helps :)

6 0
2 years ago
Sandals are on sale for 30% off. The original price of one pair of sandals is $15. What is the total cost, in dollars, of two pa
alexandr402 [8]

Answer:

$4.82

Step-by-step explanation:

30% of 15 = 4.5

7% of 4.5 = 0.315

4.5+0.315 = $4.815 approx $4.82

Please mark me brainliest

6 0
3 years ago
The quotient of 24 and the sum of<br> -4 and<br> -8
pychu [463]

Answer:

0.75

Step-by-step explanation:

-4 x -8 = 32

24 divided by 32 = 0.75

6 0
3 years ago
A ladder is leaning against the top of
Dafna11 [192]

Answer:

Step-by-step explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse         Substitute values

Cos(theta) = 3 / 12.5                            Divide  

Cos(theta) = 0.24                                  Tale the inverse cos

theta = cos-1(0.24)

theta = 76.11 degrees

6 0
2 years ago
Read 2 more answers
Find the <br> Range 19,6,8,10,8
frosja888 [35]

Answer:

13

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.9, what is P(AuB)?
    13·2 answers
  • Find the slope of the line containing the points V(2,0) and W(6,4)
    9·2 answers
  • The area of Nathan's bedroom rug is 15 square feet.The longer side measures 5 feet. His living room rug is twice as long and twi
    10·1 answer
  • How many triangles can be drawn with side lengths 3ft, 4ft, and 5ft
    8·1 answer
  • Answer pls it’s due at 3
    9·1 answer
  • Which line is the graph of y= 1/2 x + 1<br><br> Line A<br> Line B<br> Line C<br> Line D
    12·1 answer
  • 1/7inch <br> ________<br> 1/14minutes<br><br> the unit rate is ? inch per minute
    12·1 answer
  • Need help due in 10 mins
    10·1 answer
  • What is <br> 59.7 + -12,100
    9·2 answers
  • Can someone help me with these please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!