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
Basile [38]
3 years ago
13

Charlie wants to make a one-time investment in an account that earns 4% interest compounded quarterly. To earn $315,930 after 21

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

B.  $136,960.54

Step-by-step explanation:

Rate = r = 4%

Times = b = 4

Future Value = A = $315,930

No. pf Years = n = 21

Present Value = P = ?

A = P [1 + (r / b)]ⁿᵇ

$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴

$315,930 = P [1 + 0.01]⁸⁴

$315,930 = P [1.01]⁸⁴

$315,930 = P x 2.306723

P = $315,930 / 2.306723

P = $136,960.54

You might be interested in
3 times 2 cubed + 5 squared-18 divided by 6
Strike441 [17]

Answer:

46

Step-by-step explanation:

3 x 2^3 + 5^2 - 18/6

= 3 x 8 + 25 - 3

= 24 + 25 - 3

= 49 - 3

= 46

7 0
2 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Understand Mean and MAD - Quiz - Level F
pshichka [43]

Answer:

The smaller the MAD the less variability, meaning a bigger MAD means more distance between data.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can anyone help pllllzzzz
Sladkaya [172]

Answer:

Muercury 3

Venus 6

Mars 2

pluto 5

Jupiter 1

Nucleus4

Step-by-step explanation:

4 0
2 years ago
A mass club has 40 members the number of girls is five less than two times the number of boys how many members are boys how many
Lorico [155]

Answer:

15 boys and 25 girls

Step-by-step explanation:

The sum of boys (b) and girls (g) is given as 40:

g + b = 40

The number of girls is 2 times the number of boys minus 5:

2b - 5 = g

First formula can be rewritten as g = 40 - b

Then you can substitute this for g in the second, and you get:

2b-5 = 40-b

Which simplifies to:

2b + b = 40 + 5

3b = 45

b = 15

g = 40-15 = 25

15 boys, 25 girls.

6 0
3 years ago
Other questions:
  • Evaluate the expression XY FOR X=8 and Y=4
    7·1 answer
  • I don’t understand what this is saying. I need help
    14·2 answers
  • area of ceiling is 256square feet what is the length of wooded border that I will need to completely surround the square ceiling
    6·1 answer
  • Pedro drew the graph of F(x). He noticed that it was not possible to draw a horizontal line that intersected the graph in two po
    13·1 answer
  • Which is the domain of the function f(x) = Negative five-sixths (three-fifths) x?
    15·1 answer
  • How do I solve this math problem?
    6·1 answer
  • Mr. Goggins planted 10 rows of beans, 10 rows of squash, 10 rows of
    10·2 answers
  • What is the sum of5 + 4 +
    9·2 answers
  • Which is the graph of f(x) = 3/2{1/3})?<br> =
    7·1 answer
  • Where do you get .28 from ?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!