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3 years ago

Plz show your work

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

Answer:

$\$20,864.52$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=11\ years\\ P=\$15,000\\ r=3\%=3/100=0.03$

substitute in the formula above

$A=15,000(e)^{0.03*11}$

$A=15,000(e)^{0.33}$

$A=\$20,864.52$

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eduard

We have that

p(t)=-3t^2+18t-4

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(see the attached figure)

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3 years ago

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Step-by-step explanation:

Since we have given that

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As we know that

$Time=\frac{Distance}{Speed}$

$Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}$

So,

it will be changed into hours

$1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}$

so, it needs 2.4 hours to complete the trip.

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3 years ago

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3 years ago

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Female: Male:
60    35
96 109
26    31
n₁=no. of entries=3 n₂=no. of entries=3
s₁=sample standard s₂=sample standard
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x₁=sample mean=60.666 x₂=sample mean=58.333

Here s and x are calculated from calculator.
Now,
for significance level
1-α=90%
1-α=0.9
α=0.1
α/2=0.05

As population variances are unknown for both Male and female so the best suitable formula is

(x₁ - x₂) ± tα/2,v₁ * $\sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }$
........1

where v(degree of fredom)=(s₁²/n₁+s₂²/n₂)² / ((s₁²/n₁)²/n₁-1)+(s₂²/n₂)²/n₂-1))
by putting values
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From Statistics table,
See the t table at α/2=0.05 and v=3.81026
use interpolation as v value is not in the table,
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by putting values in eq. 1 we get

(60.666-58.333) ± (2.853)* $\sqrt{ \frac{35.005^2 }{3} + \frac{43.924^2}{3} }$

2.333 ± 92.516 is the correct answer.

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3 years ago

What is the exact value of the expressions the square root of 180 − the square root of 125 the square root of 5 ? simplify if po

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3 years ago

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