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NikAS [45]
3 years ago
9

Find the product of (0.7) x 10^4 and 2.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

A. because 3.7 ×2 is 7.4. so the full answer would be 7.4 ×10^4

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Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
2 years ago
Y=52(0.42)^x identify if it's growth or decay and determine the percentage rate of increase or decrease
Shkiper50 [21]

Answer:

58%

Step-by-step explanation:

Given the exponential relation :

Y=52(0.42)^x

Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;

. General form of a exponential function :

y = A(1 - r)^x ; r = Decay rate

Comparing the general equation with the equation given ;

The percentage rate of decrease is obtained thus :

1 - r = 0.42

1 - 0.42 = r

r = 0.58

Rate = 0.58 * 100%

Rate = 58%

4 0
3 years ago
How do I describe the graph of the equation y = 2/3x - 5?
algol13
It is a positive line with a slope of 2/3 and a y-intercept of -5.
5 0
3 years ago
A solid metal sculpture in Kamila’s backyard is in the shape of a sphere and has a radius of 6 inches. She wants to have it melt
Anton [14]
Volume of sphere is 4πr³/3 and volume of cone is ⅓πr²h, where r is radius and h is cone height.
Vol of Kamila’s sphere 4π(216)/3=288π
Vol of cone=π(9)(9)/3=27π
Total number of cones is 288/27=32/3=10 complete cones.
5 0
3 years ago
Read 2 more answers
For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value
Nikolay [14]

Given Information:

constant = n = 1.7

transformation time 50% completion = t₅₀ = 100 s

Required Information:

transformation time 99% completion = t₉₀ = ?

Answer:

transformation time 99% completion = t_{90}  = 202.75 seconds

Step-by-step explanation:

The Avrami equation is used to model the transformation of solids that is from one phase to another provided that temperature is constant.

The equation is given by

y=1 - e^{{-kt}^{n}}

Where t is the transformation time in seconds and n, k are constants.

Let us first find the constant k, since after 100 s transformation is 50% complete,

0.50=1 - e^{{-k*100}^{1.7}}

0.50 - 1= - e^{{-k*100}^{1.7}}

-0.50= - e^{{-k*100}^{1.7}}

0.50 = e^{{-k*100}^{1.7}}

Take ln on both sides,

ln(0.50) = ln(e^{{-k*100}^{1.7}})

-0.693 = -k*100}^{1.7}

0.693 = k*100}^{1.7}

k = 0.693/100}^{1.7}

k = 2.759*10^{-4}

Now we can find out the time when the transformation is 99% complete.

0.90=1 - e^{{-kt}^{n}}

0.90 - 1= - e^{{-k*t}^{n}}

-0.10= - e^{{-kt}^{n}}

0.10 = e^{{-kt}^{n}}

Take ln on both sides,

ln(0.10) = ln(e^{{-k*t}^{n}})

-2.303 = -kt}^{n}

\frac{2.303}{k}  = t^{n}

\frac{2.303}{2.759*10^{-4} }  = t^{n}

Again take ln on both sides

ln(\frac{2.303}{2.759*10^{-4} })  =ln( t^{n})

9.03 = nln(t)

\frac{9.03}{n}  = ln(t)

\frac{9.03}{1.7}  = ln(t)

5.312 = ln(t)

Take exponential on both sides

e^{5.312} = e^{ln(t)}

202.75 = t

t = 202.75 seconds

8 0
3 years ago
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