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3 years ago

8

Find the distance between the points (0, – 10) and ( – 9,2). Write your answer as a whole number or a fully simplified radical e

xpression. Do not round.

1 answer:

kakasveta [241]3 years ago

3 0

Answer:

15

Step-by-step explanation:

(0 - 9)^2 + (- 10 - 2)^2

(-9)^2 + (-12)^2

81 + 144

sq rt of 225

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20/12, 35/21 do the ratios form a propprtion

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Because they both have a ratio of 5:3 or 5/3

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A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac

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Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

$F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63$

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6. Using Table 11-2 from your text, calculate the present value (principal) and the compound interest given: Compound Amount = $

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Answer:

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Step-by-step explanation:

Given as :

Amount after investment = $1250

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Let the principal = P

From compounded method

Amount = Principal × $(1 + \frac{Rate}{2\times 100})^{2\times Time}$

Or, $1250 = P × $(1 + \frac{6}{2\times 100})^{2\times 6}$

Or, $1250 = P × $(1.03)^{12}$

Or, $1250 = P × 1.425

∴ P = $\frac{1250}{1.425}$

I.e P = $877.19

So , Principal = $877.19

Now, Compound Interest = Amount - Principal

= $1250 - $877.19

Or, CI = $372.81

Hence The Principal is $877.19 And Compound Interest is $372.81 Answer

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