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
Goshia [24]
2 years ago
12

A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent

to a yearly increase of x%.
Find out the value of x.
give your answer correct to 2 significant figures.​
Mathematics
1 answer:
Yuri [45]2 years ago
4 0

the yearly increase of x% assumes is compounding yearly, so let's use that.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}

95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r

You might be interested in
Which cannot be used in a proof?
Gwar [14]
Hello,

you may not used what you are going to prove in a proof (la thèse)
4 0
3 years ago
Read 2 more answers
Type The missing number that makes these fractions equal: 4/?=2/8
natka813 [3]

Answer:

16

Step-by-step explanation:

2/8 is = to 1/4

4/16 is = to 1/4

GIVE ME BRAINLIESTTTTT

4 0
2 years ago
ABC Computers sold 30tablets. this week. their.goal is 33% more next. week Graph a inequality that represents their goal.
Grace [21]
Next week they will want to sell 40 tablets
8 0
3 years ago
What is the ratio of x to y?
xeze [42]
2/3 = x/(3x + y)

2*(3x + y) = 3*x

2*3x + 2*y = 3x

6x + 2y = 3x

6x - 3x = - 2y

3x = -2y

x/y = -2/3

x : y =  -2/3. 
5 0
3 years ago
Take two orthogonal vectors u, v ε R". u v, and let X = (Xi, , X,) be a vector of n iid standard Gaussians. Xi ~ N(0, 1), yl E「r
Semenov [28]

Answer:

Attached is the complete solution.

7 0
3 years ago
Other questions:
  • The vertex form of the equation of a parabola is y=3(x-40)^2-22. What is the standard form of the equation?
    9·1 answer
  • Find the lengths of two segments whose sum is 45 and whose ratio is 2:3
    5·1 answer
  • What is the length of the side of a right triangle that has a side length of 12 ft and hypotenuse that measures 15 ft
    11·1 answer
  • Data for parking lot counts for 30 days. Do a line plot,or talies
    11·1 answer
  • Help me..............
    12·2 answers
  • A gumball machine contains gumballs in several different colors.
    7·1 answer
  • Solve for x Please hurry
    9·2 answers
  • 48 POINTS!! ANSWER QUICK AND ASAP PLEASE!! EVERYBODY IT'S A IMPORTANT TEST.
    11·2 answers
  • The points (19,-2) and (0,0) fall on a particular line. What’s is it’s equation in slope intercept form?
    15·1 answer
  • Whats 10 plus 10 ..........................
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!