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3 years ago

Demand for electrical services in your area is $12 million per year. It is expected to grow 10% compounded annually

2 answers:

8 0

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\stackrel{millions}{\$12E6}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=12E6(1 + 0.10)^{5}\implies A=12E6(1.1)^5\implies A=19326120$

astraxan [27]3 years ago

3 0

Answer:

$19.3 million

Step-by-step explanation:

The demand in 5 years can be found by using the given formula for exponential growth with the given beginning value, growth rate, and time.

E = B(1 +r)^t

You are given B = 12, r = 0.10, t = 5, so the ending value is ...

E = 12(1 +0.10)^5 = 12(1.61051) = 19.32612

Demand for electrical services in 5 years will be about $19.3 million per year.

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If the length of AB is 10 cm from the center and has a length of 12, find the approximate length from the center to CD.

Lynna [10]

Given–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

Construction–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

Solution,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

4 0

3 years ago

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GalinKa [24]

Step-by-step explanation:

-(4b-6b-7b)

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3 years ago

A man buys a car for $33,000 with no money down. He pays for the car in 48 equal monthly payments with interest at 9% per annum,

Crazy boy [7]

Answer:

Man has to pay $1921.19 per month.

Step-by-step explanation:

The formula of Compound Interest is:

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

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

Here, A = 33,000, r = 9% = 0.09, n = 12(monthly), and t = 48(48 months).

Putting all these values in above formula:

$33000 = P(1+\frac{0.09}{12})^{12\times4}$

⇒ $33000 = P(\frac{12.09}{12})^{48}$

⇒ $33000 = P(1.0075)^{48}$

⇒ $33000 = P(1.4314)}$

⇒ P = 33000 ÷ 1.4314 = 23054.35

Monthly payment = 23054.35 ÷ 12 = 1921.19

Hence, Man has to pay $1921.19 per month.

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4 years ago

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Deffense [45]

Answer:

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Step-by-step explanation:

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s = 2r + t/x

s - t/x = 2r

Divide both sides by 2

r = 1/2(s - t/x)

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