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Lelu [443]
3 years ago
15

Nakato Nobuki, a Japanese artist, intends to withdraw $ 24,000.00 from his savings at the end of 5 years. Mr. Nobuki deposits $

1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

The savings interest rate of Nakato Nobuki is 3 %

Step-by-step explanation:

Given;

Final amount of Nakato Nobuki, A = $ 24,000.00

time period of his investment, t = 5 years

principla amount, P = $ 1,500.00

The savings interest rate of Nakato Nobuki can be calculated on a simple interest basis.

A  = P(1 + rt)

r is the savings interest rate

Substitute the given values and solve for r

24,000 = 1,500(1 + 5r)

24,000 = 1,500 +  7,500r

7,500r = 24,000 - 1,500

7,500r = 22,500

r = 22,500/7,500

r = 3 %

Therefore, the savings interest rate of Nakato Nobuki is 3 %

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Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

a_n=-6a_{n-1}, a_1=4.5

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

a_2=-6a_1 \\  \implies \: a_2=-6 \times 4.5 =  - 27

When n=3, we get:

a_3=-6a_2 \\  \implies \: a_3=-6 \times  - 27 =  162

When n=4, we get:

a_4=-6a_3 \\  \implies \: a_4=-6 \times 162 =  - 972

When n=5, we get:

a_5=-6a_4 \\  \implies \: a_5=-6 \times  - 972 = 5832

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

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Step-by-step explanation:

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Hey there!

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