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3 years ago

Area of a triangle 36 ft. By 41 1/2 ft.?

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

A=1/2bh A=1/2(36)(41.5) A=747 square feet

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#3 (1 pt) A certain baseball card is very rare and is currently worth $2000. If the price of this card increases by 3% a year,

Galina-37 [17]

Answer:

$2000x(1.03)ˣ

Step-by-step explanation:

This is known as compound interest.

100% + 3% = 103%, so we put this into a decimal: 1.03

We now put this into the equation:

$2000x(1.03)ˣ

If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes

$2000x(1.03)³

You can then use a calculator to work out the answer.

6 0

2 years ago

Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

2 years ago

Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same

Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ( $(1+r)^{t}$ -1 ) / r .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ( $(1+r/4)^{t}$ -1 ) / r/4

27456 = 1225 ( $(1+r/4)^{20}$ -1 ) / r/4

( $(1+r/4)^{20}$ -1 ) / r/4 = 27456/ 1225

( $(1+r)^{20}$ -1 ) / r = 27456/ (1225 × 4)

( $(1+r)^{20}$ -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0

2 years ago

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Marking brainliest Please help

faust18 [17]

Answer:

sin = 2/3

cos = sqrt5/3

tan = 2/sqrt5

6 0

3 years ago

Triangle S and triangle L are scaled copies of one another,what is the scale factor from S to L

Naddika [18.5K]

The scale factor is 2

L = 2 * S

4 0

3 years ago

Read 2 more answers