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3 years ago

What is the 25th term of this arithmetic sequence?

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

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Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.

fredd [130]

Answer:

The number of years it would take is $n = 2 \ years$

Step-by-step explanation:

From the question we are told that

The earning per share is $P =$ $3.50

The growth rate is r = 7.0%

The duration is $t = 5 \ years$

Generally the future value is mathematically represented as

$A = P(1 + \frac{r}{100} )^n$

Where P is the present value

n is the time period

A is the future value which is mathematically evaluated as

$A = 3 * P$

substituting value

$A = 3 * 3.50$

$A =$ $ 10.5 0

$A = P(1 + \frac{r}{100} )^n$

$10.5 = 3.5(1 + \frac{7}{100} )^n$

$10.5 = 3.225^n$

Taking log of both sides

$log 10.5 = nlog 3.225$

$1.0212 = n(0.5085)$

$n = \frac{1.0212}{(0.5085)}$

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4 0

3 years ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

vodomira [7]

First, we need her speed as it will serve as the slope of the equation.
Distance = 2 km
time = 18 min
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k = (1/9)t
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3 years ago

(HELP PLS EASY PROBLEM ILL GIVE BRAINLY, I KNOW IT SEEMS LIKE ALOT BUT ITS EZ)

sveticcg [70]

Answer:

a)$4,238.50

b)$392

c)$3814.65

Step-by-step explanation:

a) 3920*0.08125=318.5

318.5+3920=4238.50

b)3920*0.1=392

c)3920-392=3528

3528*0.08125=286.65

3528+286.65=3814.65

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3 years ago

A cone has a slant length of 10 and a diameter of 8. Height is unknown.

patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²

√84 =h

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Back on the volume formula:

V= 1/3 π r² h

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3 years ago

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blagie [28]

Answer:

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Step-by-step explanation:

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3 years ago