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2 years ago

1.

Mathematics

1 answer:

Komok [63]2 years ago

6 0

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

$A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77$

Future amount (A) = $1,258.77 (Approx)

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There are 800 members in an astronomy club, and 320 of them are females. What percent of the members are males.

Liula [17]

ANSWER: 60% of the members are males

How?
-800 total
-320 females
800 - 320 = 480
480/800 = 0.6

Hope this Helps!

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2 years ago

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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

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PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.

dusya [7]

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

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2 years ago

Plz help. Will give brainliest

masya89 [10]

Answer:

So is there are 10 cats for every 4 dogs,

If there are 5 cats that is half of 10 so half of 4 is 2

Now there are 32 dogs that is 8 times more than 4 so 10 x 4 is 40 so the answers are

Cats 10 5 8

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2 years ago

What is the answer to this problem?

Sedaia [141]

Answer:

x = 4.

Step-by-step explanation:

These are exterior alternate angles which are congruent.

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2 years ago