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
hoa [83]
3 years ago
8

Please provide a step-by-step instruction: You deposit $6,900 in a 2-year certificate of deposit (CD) earning 2.2% annual intere

st compounded daily. At the end of the 2 years, you reinvest the compound amount plus an additional $6,900 in another 2-year CD. The annual interest rate on the second CD is 2.7%, compounded daily. What is the compound amount (in dollars) when the second CD matures? (Enter a number. Round to the nearest cent. Assume all years have 365 days.)
Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer: the compound amount when the second CD matures is $14889.9

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6900

r = 2.2% = 2.2/100 = 0.022

n = 1 because it was compounded once in a year.

t = 2 years

Therefore,.

A = 6900(1 + 0.022/1)^1 × 2

A = 6900(1.022)^2

A = 7206.9396

The amount reinvested in the second account is

7206.9396 + 6900 = $14106.9396

r = 2.7% = 0.027

t = 2 years

n = 365 because it was compounded daily . Therefore,

A = 14106.9396(1 + 0.027/365)^2 × 365

A = 14106.9396(1.000074)^730

A = 14106.9396 × 1.0555

A= $14889.9

You might be interested in
A rectangular garden has a length of 5x and a width of 6x + 15. If the perimeter of the garden is 250 m what is the value of X?
Iteru [2.4K]

Answer:

10

Step-by-step explanation:

8 0
2 years ago
Which student correctly graphed a slope of 1/4?
sergij07 [2.7K]
You didn’t include any other info of photo...
7 0
3 years ago
Solve the quadratic equation by using a numeric approach. x squared + 1.1 x minus 2 = 0 a. x = 1.7 and x = -29.2 c. x = 2.3 and
Korolek [52]

Answer:

None of the options are correct, the correct answers are: x = 0.967 and -2.067

Step-by-step explanation:

x^2 + 1.1x - 2 = 0

Comparing this equation with ax^2 + bx + c = 0

a = 1, b = 1.1, c = -2

Using the almighty formula for solving quadratic equation:

x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm 3.035 }{2}\\x_1 = \frac{-1.1 + 3.035 }{2} = 0.967\\x_2 = -\frac{-1.1 - 3.035 }{2} = -2.067

6 0
3 years ago
I need the answer ....
vladimir1956 [14]

Answer:

12.5 feet

Step-by-step explanation:

how to:

lets find the angle that corresponds with the 10 foot side.

to do that we add 50 degrees plus 90 degrees (right angle) to get 140 degrees.

as we know, a triangles angles will total 180 degrees, so 180 - 140 = 40 degrees for the angle corresponding to the 10 foot side.

put these into ratios:

<u>Angle A  </u>  =    <u>Angle B</u>

side a              side b

now plug in our numbers:

<u>50 degrees</u>     =     <u>40 degrees</u>

        X                       10 feet

Cross multiply:

50 (10 feet) = 40 (x)

solve for x:

500 = 40 (x)

500/40 = x

12.5 = x

<u />

3 0
2 years ago
Johnny canoed 15 3/4 miles in s 1/4 hours. What was his average rate of speed in miles per hour?
Bess [88]

There are four 1/4’s per hour

Multiply the miles by 4:

15 3/4 x 4 = 63 miles per hour

5 0
3 years ago
Other questions:
  • Each part of a race is 1/10 mile long. Marsha finished 5 part of the race.How far did marsha race?
    8·1 answer
  • When x=8 and y=20. Find y when x=68​
    5·2 answers
  • A line passes through (-1,7) and (2,10) which answer is the equation of the line
    7·1 answer
  • The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the tria
    5·1 answer
  • Convert the measurements 66,597 grams = how many kgs
    7·1 answer
  • A = 16, c = 20, b =<br><br> 2√(2)<br> 12<br> 4√(23)<br> 4√(41)<br> please help
    11·2 answers
  • Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla ma
    6·1 answer
  • Which expression is not equal to the number 0? Group of answer choices 5 - 5 -8 - (-8) 6 - (-6) -7 + 7
    11·1 answer
  • Logan invested $180 in an account paying an interest rate of 2,6% compounded
    13·2 answers
  • -6-5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!