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Alex
4 years ago
6

What is the rate of growth as a percent for 23(1.0032)

Mathematics
1 answer:
vaieri [72.5K]4 years ago
3 0
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
\end{cases}\\\\
-------------------------------\\\\
\textit{so let's see the amount in the parentheses}\\\\
1.0032\implies 1+\underline{0.0032}\impliedby \frac{r}{100}
\\\\\\
thus\qquad 0.0032=\cfrac{r}{100}\implies 100\cdot 0.0032=r\implies 0.32\%=r
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Answer this please......
Brrunno [24]

Answer:

1). Option A

2). Option B

Step-by-step explanation:

Question 1

Rule for the dilation of a point by a scale factor 'k' is given by the rule,

(x, y) → (kx, ky)

By this rule image of point A when dilated by the scale factor = 1.25,

A(-12, -8) → A'[(-12 × 1.25), (-8 × 1.25)]

              → A'(-15, -10)

Option A will be the answer.

Question 2

Scale factor = \frac{\text{Dimension or one side of the image}}{\text{Dimension or one side of the preimage}}

From the figure attached,

Scale factor = \frac{F'E'}{FE}

                    = \frac{4}{14}

                    = \frac{2}{7}

Therefore, rule for the dilation of ABC to form image triangle A'B'C' will be,

(x, y) → (\frac{2}{7}x, \frac{2}{7}y)

Option B will be the answer.

8 0
3 years ago
1.43 x -20/39 is close to -.075. Is this estimate reasonable? The product is negative and half of ?
Oksanka [162]

Answer:

yes, that is correct

Step-by-step explanation:

- (20÷39) = - 0.513

- 0.513 * 1.43 = - 0.734 ~ - 0.75

3 0
3 years ago
Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round
Butoxors [25]
\bf \qquad \textit{Simple Interest Earned}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &90,000\\
P=\textit{original amount}\to& \$65,452\\
r=rate\to 9.1\%\to \frac{9.1}{100}\to &0.091\\
t=years
\end{cases}

\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}
\\\\\\
\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)
\\\\\\
ln\left( \cfrac{22500}{16363} \right)=0.091t\implies 
\cfrac{ln\left( \frac{22500}{16363} \right)}{0.091}=t
7 0
4 years ago
The ampitude/frequency/period of y=1/4cos1/2x is 4 pie
Fantom [35]
Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
Period: 4pi (= 2pi/|b|)
7 0
4 years ago
Two angles of a triangle have a sum of 110. the sum of all three angles is 180 .what is the measure of the third angle
defon
Well by the looks of it The missing angle is 70 degrees. I say this because 110 + 70 = 180. If you were asking what were the two angles just divide.
6 0
3 years ago
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