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amid [387]
3 years ago
9

The value of a gold coin picturing the head of the Roman Emperor Vespasian is increasing at the rate of 5% per year. If the coin

is worth $105 now, what will it be worth in 11 years?
Mathematics
2 answers:
valkas [14]3 years ago
7 0

Answer:

$179.59

Step-by-step explanation:

Step 1 Write the exponential growth function for this situation.

y = a(1 + r)t Write the formula.

= 105(1 + 0.05)t Substitute 105 for a and 0.05 for r.

= 105(1.05)t Simplify.

Step 2 Find the value in 11 years.

y = 105(1.05)t Write the formula.

= 105(1.05)11 Substitute 11 for t.

≈ 179.59 Use a calculator and round to the nearest hundredth.

bazaltina [42]3 years ago
6 0

Answer:

255.75

Step-by-step explanation:

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Determine the measure of the missing angle in each triangle? <br> Please help me ASAP
IrinaK [193]

Answer:


Step-by-step explanation:

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8 0
3 years ago
Which answer is equivalent to<br> ??? Help please
grigory [225]

Answer:

\large\boxed{\dfrac{36}{25}}

Step-by-step explanation:

\text{Use}\ a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{5^{-2}\cdot9}{2^4\cdot4^{-3}}=(5^{-2}\cdot9):(2^4\cdot4^{-3})=\left(\dfrac{1}{5^2}\cdot9\right):\left(2^4\cdot(2^2)^{-3}\right)\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\left(\dfrac{1}{25}\cdot9\right):(2^4\cdot2^{-6})\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{9}{25}:2^{4+(-6)}=\dfrac{9}{25}:2^{-2}=\dfrac{9}{25}:\dfrac{1}{2^2}=\dfrac{9}{25}:\dfrac{1}{4}=\dfrac{9}{25}\cdot\dfrac{4}{1}=\dfrac{36}{25}

7 0
3 years ago
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