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3 years ago

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Mathematics

1 answer:

defon3 years ago

5 0

Answer:

well i divided the votes he got with the votes u where suppose to get an i got 0.56 i dont really know if its right so like ask someone smarter i tried my best but u can try

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Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye

den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now,<u> From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, 2 × p = p × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

Or, $16,000 = $8,000 × $(1+\dfrac{\textrm 9}{100})^{\textrm n}$

Or, $\dfrac{16,000}{8,000}$ = $(1.09)^{n}$

Or, 2 = $(1.09)^{n}$

Now, Taking Log both side

$Log_{10}$ 2 = $Log_{10}$ $(1.09)^{n}$

Or, 0.3010 = n × $Log_{10}$ 1.09

Or, 0.3010 = n × 0.0374

∴ n = $\dfrac{0.3010}{0.0374}$

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

8 0

3 years ago

n a rural area, only about 30% of the wells that are drilled find adequate water at a depth of 100 feet or less. A local man cla

enyata [817]

Answer: the man's claim is true.

Step-by-step explanation:

Given that 30% of the well find water at a depth <=100 feet

P(X<=100) = 0.30

If the man's prediction work well the probability of finding well at less than 100 or equal should be high fwhen calculated from his results. So give 27 out of 80 wells

P(X<=100) = 27/80

P(X<=100) = 0.3375

Since 0.3375 > 0.3

The man's claim is true.

5 0

3 years ago

What is the rule for the following sequence: 2, 9, 21, 65

Helga [31]

There is no common ratio or common difference. The first three terms increases more slowly than a cubic, but the last three increase more quickly than the cube of n. The pattern is not obvious to me. When the sequence is cast in recursive terms, you get

... a[n] = (48/13)a[n-2] + (59/39)a[n-1] . . . . a[1] = 2, a[2] = 9

The next term using this rule is 174 34/39, not an integer.

The coefficients p and q for a[n-2] and a[n-1] can be found from

$2p+9q=21\\9p+21q=65$

_____

Any sequence of 4 numbers can be matched by a polynomial of degree 3 or less. Here, a calculator's polynomial regression function tells us the rule could be

... a[n] = 4.5n³ -24.5n² +49n -27

Using this rule, the next two terms are 168 and 357.

5 0

3 years ago

T are the domain and range of f (x) = (1/5)^x?

MAXImum [283]

Answer:

Step-by-step explanation:

domain:A

range: D

3 0

3 years ago

Pls help will mark brainliest

algol13

Answer:

750

Step-by-step explanation:

3 0

3 years ago