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
Vaselesa [24]
3 years ago
6

If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te

nth of year?
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

You might be interested in
Find the equation of line b described below, in slope-intercept form
Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_a=\dfrac{-12-(-8)}{9-1}

m_a=\dfrac{-12+8}{8}

m_a=\dfrac{-4}{8}

m_a=-\dfrac{1}{2}

Product of slopes of two perpendicular lines is -1.

m_a\times a_b=-1

-\dfrac{1}{2}\times a_b=-1

b=2

Slope of line b is 2.

If a line passing through a point (x_1,y_1) with slope m, then equation of line is

y-y_1=m(x-x_1)

Line b passing through (-8,-16) with slope 2. So, equation of line b is

y-(-16)=2(x-(-8))

y+16=2(x+8)

y+16=2x+16

Subtract 16  from both sides.

y=2x

Therefore, the equation of line b is y=2x.

7 0
3 years ago
Trigonometry<br><br> cos62 x 12
zlopas [31]

Answer:

See explanation

Step-by-step explanation:

cos62˚ ≈ 0.469

0.469 x 12 = 5.628

4 0
3 years ago
Help me anyone plzzzzz????
jek_recluse [69]
For the first one, to find the missing fraction, add the first two fractions and subtract that from the last fraction. For the second question, subtract the first two fractions then add that to the last fraction. Hope this helps.
6 0
3 years ago
Write a problem to fit this equation 2K + 5 =29
Degger [83]

2K + 5 = 29

(2 x K) + 5 = 29

29 - 5 = 24

24 divided by 2 = 12 (This is K)

K = 12

(2 x 12) + 5 = 29  


24 + 5 = 29

6 0
3 years ago
What two mixed numbers between 3 and 4 have a product of 9 and 12
dlinn [17]
It's a trick question. There are an infinite number of mixed numbers between 3 and 4 that can multiply to equal 12 (for example, 3 and 3/7 times 3 and 1/2), but there are no mixed numbers between 3 and 4 that can multiply to equal 9. 3 times 3 is not between them but is 3, but that quantity is excluded because 3<x<4. Anything even a small bit above the number 3 would have to be multiplied by 2 and some fraction, which would not be between 3 and 4.
8 0
3 years ago
Other questions:
  • Ms Everett found Birthday cards in packs of 6 and envelopes in packs of 9. If she wants to have the same number of cards and env
    15·2 answers
  • Solve 4 | x + 7|= 16.
    10·2 answers
  • The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, wh
    13·1 answer
  • Please answer this correctly
    10·1 answer
  • Can anyone help me with this???
    12·1 answer
  • Help me solve this problem please
    6·2 answers
  • Whatis the answer to the problem
    8·1 answer
  • Need help with school
    7·1 answer
  • Y=.5x+4 <br> Y= -.25x^2+5 <br> Using the quadratic formula, what are the solutions?
    10·1 answer
  • Write and solve an equation based on the following question.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!