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
erik [133]
3 years ago
5

Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of

3 years. What is the smallest amount , to the nearest pound , she can invest?
Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

\bf \qquad \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad \begin{cases}A=\textit{accumulated amount}\to &8000\\P=\textit{original amount deposited}\\r=rate\to 5\%\to \frac{5}{100}\to &0.05\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{is only once, so}\end{array}\to &1\\t=years\to &3\end{cases}

\bf 8000=P\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies 8000=P(1.05)^3\implies \cfrac{8000}{1.05^3}=P\\\\\\6910.70\approx P\implies  \stackrel{\textit{rounded up}}{6911 = P}\qquad  therefore\qquad 6911~~\leqslant ~~P

You might be interested in
A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, o
liq [111]

Answer:

D: $26.25 I just took the assessment and got it right

5 0
3 years ago
Read 2 more answers
7. A crate of soft drinks contains 9 bottles of coke, 6 bottles of pepsi and 4 bottles of limca. Ademola picks one bottle of sof
Mekhanik [1.2K]

The probability that the events (a) they both picked Limca = 0.04, (b) Ademola only picked Pepsi = 0.32, (c) They both picked the same brand = 0.33 (d) They picked different brand=0.67.

<h3>What is probability?</h3>

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

Total possible outcome of the event of picking drinks contained in the crate = 19

Hence, we can compute the following as follows;

(a) The probability they both picked Limca = (4/19)×(3/18)

Limca = 12/342

Limca = 0.04

(b) The probability Ademola only picked pepsi = 6/19

pepsi = 0.32

(c) The probability they both picked the same brand = (9/19)×(8/18)+(6/19)×(5/18)+(4/19)×(3/18)

=(72+29+12)/342

= 114/342

= 0.33

(d) The probability they picked different brand = (9/19)×(6/18)+(9/19)×(4/18)+(6/19)×(9/18)+(6/19)×(4/18)+(4/19)×(9/18)+(4/19)×(6/18)

The probability they picked different brand = (54+36+54+24+36+24)/342

The probability they picked different brand = 228/332

The probability they picked different brand = 0.67

Therefore, the probability for events (a) is 0.04, (b) is 0.32, (c) is 0.33 and (d) is 0.67.

Know more about probability here: brainly.com/question/24830485

#SPJ1

6 0
1 year ago
!ANSWER FAST! <br><br> !ANSWER FAST!<br><br> !ANSWER FAST!
Anna007 [38]

Answer:

Leo = NO

Paola = YES

Matthew = NO

Jasmine = YES

Step-by-step explanation:

Unit rate is .....1/3 = 1 hour

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

8 0
3 years ago
Read 2 more answers
6 sisters share 5 pizzas equally
Crazy boy [7]
# shared / # being shared = 5/6 Each sister gets 5/6 of a pizza.
8 0
3 years ago
Write the following expression exponent form.​<br> 3•2•5•5•2•5​.​
Alekssandra [29.7K]

Answer:

3 * 2^2 * 5^3

Step-by-step explanation:

Hope this is what you wanted

7 0
3 years ago
Read 2 more answers
Other questions:
  • The value of a car is inversely proportional to its age. if a car is worth ​$49004900 when it is 55 years​ old, how old will it
    15·1 answer
  • 6. What is the density of a substance with a mass of 2.1 g and a volume of 7 cc? *
    13·1 answer
  • Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th b
    8·2 answers
  • What is the midpoint of the segment of (-12,-3) (5,5)
    13·1 answer
  • Arrange the steps in correct order to show that the sum, over the set of people at a party, of the number of people a person has
    7·1 answer
  • What is the answer to 2c-4d
    15·2 answers
  • What is 7/9 x 5 2/5 please!
    12·2 answers
  • PLEASE HELP WILL GIVE BRANLIEST!! The question is “ Abbey spends 5 hours less then triple the amount of time Emily spends on hom
    10·1 answer
  • The budget for salaries for three employees at the Sunshine Food Truck is $1500. If the assistant manager makes twice as much as
    11·1 answer
  • Lol im SimpForKirishima my account got baneed comeback kait
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!