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
blsea [12.9K]
3 years ago
13

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3

40 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly. After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

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

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

You might be interested in
Find the volume of the figure.<br> A 1,053 M^3<br> B 2,106 M^3<br> C 513 M^3<br> D 58,5 M^3
vampirchik [111]
The answer is )A                                              
OK THANK YOU I HOPE THIS HOPED
7 0
3 years ago
write a problem that can be solved using a line plot. Draw and label the line plot and solve the problem.
Debora [2.8K]
0/5 1/5 2/5 3/5 4/5 5/5  hope this helps

5 0
3 years ago
Which is a solution to the equation y=2x-5?
erma4kov [3.2K]

Answer:

C. (1, -3)

Step-by-step explanation:

Plug in the x to get the y in the equation. The point must fit the formula.

Plug in C. (1, -3), in which x = 1, y = -3:

(-3) = 2(1) - 5

Simplify:

(-3) = 2(1) - 5

-3 = 2 - 5

-3 = -3 (True).

C is your answer.

~

7 0
3 years ago
Read 2 more answers
Find the lateral area of the pyramid to the nearest whole number.
son4ous [18]

Answer:

The correct answer is first option.  204 m²

Step-by-step explanation:

Formula:-

Lateral surface area of square pyramid = 4 * area  of triangle

<u>To find the slant height of triangle(l)</u>

l = √(6² + 6²) = 6√2

To find the area of triangle

Area = bh/2

b = 12 m

h =  6√2

Area = (12 * 6√2)/2 = 36√2

<u>To find the lateral surface area of Prism</u>

Lateral surface area of square pyramid = 4 * area  of triangle

= 36√2 * 4 = 203.64 ≈ 204 m²

First answer is the correct option

7 0
3 years ago
12 girls are having a sleepover at a house, the food there can last them for 10 days. If 3 more girls came over, how long will f
FrozenT [24]

Answer:

The answer is 8

Step-by-step explanation:

12*10=120 120/15=8

8 0
3 years ago
Other questions:
  • Find two consecutive odd integers whose sum is 116.
    9·1 answer
  • A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce?
    15·1 answer
  • In 1995, 13,000 Internet users were surveyed and asked about their willingness to pay fees for access to websites. Of these, 2,9
    8·1 answer
  • What is answer to this its my home work
    14·2 answers
  • Choose as many answers as apply.
    14·2 answers
  • Gina is putting books on a shelf that is 21 2⁄3 inches long. If each book is 2 1⁄3 inch wide, how many books can she fit on the
    7·2 answers
  • What number, divided by 3/7 , will result in a value of 2 1/3?
    15·1 answer
  • Help me. Do not send links or fake answer if not I will report you. The photo will be above¡ Thanks♡​
    9·1 answer
  • PLEASE HELP ASAP EVERYTHING IS DUE TM
    13·1 answer
  • ANSWER ASAP PLEASEEE
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!