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
Alex73 [517]
3 years ago
6

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

t take for the account balance to reach $6,163.59?
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

You might be interested in
#3 i
klasskru [66]

Answer:

77.74 square feet

Step-by-step explanation:

1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.

The formula for the area of a rectangle is height x width = area

So, 6.5 feet x 10.4 feet = 67.6 feet squared

The formula for the area of a triangle is height x width x (1/2) = area

So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared

Now, add the two areas together.

10.14 square feet + 67.6 square feet = 77.74 square feet

3 0
2 years ago
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
sergejj [24]

Answer:

54 three- point field goals

Step-by-step explanation:

184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals

x= 22 free throws, each one is 1 point

184 - 22 = 162

162 ÷ 3 = 54

54=y

54 three point field goals

7 0
2 years ago
Read 2 more answers
Help plssss plssss !!1
Alecsey [184]

Answer:

were u looking for some like this, its for the first question

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
pogonyaev

Answer:

A.Because ,center is (3,2)and point is (-2-3) .

and answer is (x-3)2+(y+2)2=52.

6 0
3 years ago
Really struggling! Will give 20 points to answers correctly
Rom4ik [11]

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

8 0
3 years ago
Read 2 more answers
Other questions:
  • A hiker in Africa discovers a skull that contains 63% of its original amount of C-14.
    11·1 answer
  • Math Help!!! ASAP!! I will give you brainliest!!
    10·1 answer
  • How does 17 compare to 3?
    7·1 answer
  • Two friends play a game to see if one can spot the true statements when the other gives them a list of truths and lies mixed tog
    8·1 answer
  • A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 30.5 meters and a height of 14 meters. The sod
    12·1 answer
  • What is 3x +2 (5x -7) simplified
    14·1 answer
  • What is the length of BD?
    5·2 answers
  • Could some one help me please
    15·2 answers
  • PLZ HELP WILL GIVE BRAINLY IF CORRECT
    9·2 answers
  • Find the slope f(x)= - 4/5x +2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!