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yulyashka [42]
3 years ago
12

I have no clue how to solve question 10 and if u know how to it goes with the pie chart. So please help me

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0
60,000 dollars. Because if they have income of 5,000 per month, 5,000 times 12 (the amount of months in a year) is 60,000 HOPE WITH HELPED! :)
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On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
Aşağıda verilen şıklarda istenenleri bulunuz (NOT: sqrt( ): karekök, örneğin sqrt(4)=2 dir, R+: pozitif reel sayılar gösterimi).
Readme [11.4K]
Umm what’s the language
7 0
3 years ago
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
puteri [66]

Answer:

a. 12 yd

Step-by-step explanation:

\sqrt{ {15}^{2} -  {9}^{2}  }  = 12

7 0
3 years ago
What is the frequency of the function f(x)?<br> Express the answer in fraction form.
Reil [10]

Answer:

<u>Frequency = 1/period = \frac{1}{8\pi }</u>

Step-by-step explanation:

The frequency of the sinusoidal function = 1/period

Frequency is how many the function repeats itself per unit if time i.e: per "1"

For the given graph :

\frac{x}{4} =Bx , Where: B = 2π/period

period = 2π/B  ,   B = 1/4 = 0.25

∴ Period = 2π/0.25 = 8π

∴ Frequency = 1/period = \frac{1}{8\pi }

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2 years ago
How can a decimal be converted to a percentage?
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