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ArbitrLikvidat [17]
3 years ago
13

The expression log8512 = 3 in exponential form is 38 = 512.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
\large\begin{array}{I} \mathtt{ log_8~512=3 } \end{array}

\large\begin{array}{I} \mathtt{ 3^8 = 512 } \end{array}
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The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp
Dafna1 [17]

Solution:

Given:

V=16300(0.94)^t

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}

Hence,

\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\  \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\  \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

5 0
9 months ago
Simplify. cos^2[(pi/2) - x] + cos^2[(pi/2) - x] + cos^2x
Ipatiy [6.2K]

Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

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Denominator

<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

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5 0
3 years ago
Cole's rectangular garden has an area of 54 square feet. What could be the dimensions of the garden??
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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