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
andre [41]
3 years ago
9

Cynthia invests some money into a bank which pays 5% compound interest per year she wants it to be worth over £8000 at the end o

f three years what is the smallest amount to the nearest pound she can invest
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x

Rate of Interest = R = 5% per year

Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000

Formula for Amount of compound interest annually is a follows

A = P( 1 + R/100)^n

In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get

8000 = x ( 1 + 5/100)^3

⇒8000 = x ( 105/100)^3

⇒8000 = x ( 21/20 )^3

⇒(8000 × 20 × 20 × 20)/(21×21×21) = x

⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years





You might be interested in
A typist types at the rate of 88 words in 3 minutes. What is her typing rate per minute?
Roman55 [17]

Answer:29.3

Step-by-step explanation: 88/3

6 0
3 years ago
Read 2 more answers
250,000 grams is ________ kilograms. A) 0.25 B) 25 C) 250 D) 2500
alexira [117]
C) 250 is the right answer
3 0
3 years ago
Anna has 1/2 pound of trail mix. She evenly divided the trail mix into 4 bags. How much is in each bag
trasher [3.6K]

Answer:

 

1/8 pound of trail mix in each bag.

Step-by-step explanation:

She divides it into  bags

4 1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound

3 0
3 years ago
What is the surface area?<br> 1 cm<br> 1 cm<br> 1 cm<br> square centimeters<br> Submit
julia-pushkina [17]

Answer:

1 x 1 = 1.

6 x 1 = 6cm^2

multiply by 6 cause 6 faces

3 0
2 years ago
Jarrett wants to buy a really cool car but it costs $4,350 and he doesn’t have a job. The only job he can find will pay him $7.2
den301095 [7]

Answer:

30 weeks

Step-by-step explanation:

7.25 x 20 = 1 WEEK

1 WEEK= 145$

4,350 divided by 145=30

30 weeks

4 0
3 years ago
Other questions:
  • When it is 9:00, the hour hand on an analog clock is 270$^\circ$ ahead of the minute hand. how many minutes elapse (to three sig
    5·1 answer
  • Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles
    14·1 answer
  • I'm not sure how to do this
    8·1 answer
  • A rectangle prism is 7 cm long, 5 cm wide, and 4 cm. Which values are the areas of cross sections that are parallel to a face or
    10·1 answer
  • fresh water from lakes account for only 0.001 of the world's water supply write thos decimal as a percent. (i need this now)
    10·2 answers
  • What is (2/9v - ( -1/3v + 5/9)
    15·1 answer
  • The last answer is highlighted becausese its wrong. Please help me
    7·1 answer
  • Triangle MNP is dilated to obtain triangle QRS. Using the same scale factor, triangle QRS is dilated to obtain triangle TUV. MN
    14·1 answer
  • Martin draws a card from a standard deck of cards, does not replace the card, and draws another card. What is the probability he
    6·1 answer
  • Which expression represents the length of the spring after Gerard removes some weight? Gerard adds weight to the end of the hang
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!