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
Dominik [7]
3 years ago
6

A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

ill it take for the money to grow to $55,000? (Round your answer to the nearest whole number.)
Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

8 years

Step-by-step explanation:

Compound interest formula

A(t)= A_0(1+\frac{r}{n})^{nt}

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

55000=40000(1+\frac{0.04}{4})^{4t}

divide both sides by 40000

1375=(1+\frac{0.04}{4})^{4t}

1375=(1.01)^{4t}

Take ln on both sides

ln(1375)=4tln(1.01)

divide both sides by ln(1.01)

\frac{ln 1375}{ln 1.01}=4t

Divide both sides by 4

t=8.00108

So it takes 8 years

You might be interested in
What is the vertex of the graph of y = −1(x − 2)2 + 3
Alona [7]

Vertex: \ (2,3)

<h2>Explanation:</h2>

The vertex form of the equation of a parabola is given by the following form:

f(x)=a(x-h)^2+k \\ \\ Where: \\ \\ a:Leading \ Coefficient \\ \\ (h,k):Vertex \ of \ the \ parabola

In this exercise, we have the following equation:

y=-(x-2)^2+3

From here, we can conclude that:

Leading \ coefficient: \ -1 \\ \\ Vertex: \ (2,3)

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.

<h2>Learn more:</h2>

Finding leading coefficient: brainly.com/question/1469367

#LearnWithBrainly

7 0
3 years ago
What is the value of x
Nesterboy [21]

Answer:

x = 2

Step-by-step explanation:

First simplify the equation.

  1. \frac{7}{9}x -\frac{4}{9} =\frac{1}{4} +\frac{5}{12}
  2. \frac{3}{9}x= \frac{3}{12} +\frac{5}{12}
  3. \frac{3}{9}x=\frac{8}{12}
  4. \frac{1}{3}x=\frac{2}{3}

Now multiply both sides by 3.

x = 2

I hope it helps you. Please choose my answer as the BRAINLIEST.

7 0
2 years ago
Read 2 more answers
Use inverse trigonometric functions to solve each problem.
viva [34]

Answer:

BBBBBBBBBB

Step-by-step explanation:

7 0
3 years ago
Divide<br> -0.0328 0.002<br> What is the quotient?<br> Enter your answer in the box.
Marina86 [1]

The quotient is -16.4

\frac{-0.0328}{0.002}

Apply the fraction rule: $\frac{-a}{b}=-\frac{a}{b}$ $=-\frac{0.0328}{0.002}$

Divide the numbers: $\frac{0.0328}{0.002}=16.4$$=-16.4$

The quotient rule is a calculus technique for determining the derivative or differentiation of a function that is represented as a division or ratio of two differentiable functions.

Therefore, we can apply the quotient method to get the derivative of a function of the form f(x)/g(x), where f(x) and g(x) are both differentiable functions and g(x) ≠ 0. The quotient rule immediately follows the product rule and the notion of limits of derivation in differentiation.

Learn more about quotient rule brainly.com/question/15568137

#SPJ9

7 0
1 year ago
PLZ ANSWER ASAP DUE IN A FEW MINS
Len [333]

Answer:

Solution given:

diameter=14cm

radius [r]=14/2=7cm

now

area of semi circle or shaded region: ½πr²=½(3.14*7²)=76.93cm²[approximately]

5 0
2 years ago
Other questions:
  • ANYONE GOT SNAP INSTA OR DISCORD???? ​
    14·2 answers
  • A spinner is broken into section labeled 1 to 38. What is the probability that.On your next spin, that you will spin a 1?
    10·1 answer
  • Will Identify the outlier in the data set. 77, 73, 78, 78, 71, 75, 120, 75, 77, 72, 75, 70 The outlier is​
    9·1 answer
  • Help please,,
    15·1 answer
  • In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o
    7·1 answer
  • Jamal is using the distance formula to find the length, d, of the line segment. His work so far is shown. What is Jamal's next s
    9·2 answers
  • Please help me :((((((
    6·2 answers
  • Forty thousand in numbers​
    13·1 answer
  • Please help.... this is confusing me:0
    5·1 answer
  • (x 2 + 3) (x 3 + 4x)(x 2 + x - i - xi) = 0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!