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Dafna1 [17]
3 years ago
8

⁠ 23 56 − ⁠ 1 8 Write the answer in simplest form.

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

Convert to a simplified fraction.

1/169

Step-by-step explanation:

i think this is right im not sure <em>IM SO SORRY IF THIS IS THE WRONG ANSWER</em>

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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
Q2). Let A={1,2,3,4} B={a,b,c} which of the following are relation from B to A?
butalik [34]

Step-by-step explanation:

Given sets are :

A = {1,2,3,4} and B = {a,b,c}

(i)

7 0
2 years ago
What is the GCF of 96x5 and 64x2?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both  

The answer should be 32x2

Hope this helps

4 0
2 years ago
Read 2 more answers
Complete the following two-column proof.<br> Given: 5x - 2 = -12<br> Prove: x = -2
kolezko [41]

Answer:

I really don't know! Hope you have a good grade :)

Step-by-step explanation:

5 0
3 years ago
If 2.29 x 19.79 = 45.3191, then without actual multiplication the value of 0.0229 x 1979 is?
Mrrafil [7]

Answer:

45.3191

Step-by-step explanation:

0.0229 is 100 times smaller that 2.29 but 1979 is 100 times greater than 19.79. Since they cancel each other out, the answer remains the same.

8 0
2 years ago
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