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amid [387]
1 year 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]1 year 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]1 year ago
6 0

Answer:

255.75

Step-by-step explanation:

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Question 2 (1 point)
hichkok12 [17]

Answer:

Rebecca does not have a return yet because the stock was not sold since there was a limit order at $33.

However, the value of her investment can be put around $2,400 (100 x $24 average price).

Step-by-step explanation:

Price of Havad Stock bought a year ago = $20

No. of shares = 100

Limit order selling price = $33

Stock prices during the limit order day = $23, $26, and $22

The stock cannot be sold, since its price did not reach $33.

Rebecca's limit order is an order to buy or sell her stock in Havad at $33 or better. Since her order is a sell limit order, it can only be executed at the limit price of $33 or higher.  Unfortunately, the price of the stock did not reach the limit order on that particular day.  This implies that her limit order is not guaranteed to execute.

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1 year ago
Given: m∠AEB = 45° ∠AEC is a right angle. Prove: bisects ∠AEC. Proof: We are given that m∠AEB = 45° and ∠AEC is a right angle. T
NNADVOKAT [17]

Answer:

The proof is explained below.

Step-by-step explanation:

Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°

we have to prove that EB is the angle bisector.

In the right angled triangle AEC,

∠AEC=90° and also ∠AEB=45°

∵ ∠AEB+∠BEC=∠AEC

⇒ 45° + ∠BEC = 90°

By subtraction property of equality

∠BEC = 45°

Hence,  ∠AEB = ∠BEC = 45°

The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.

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1 year ago
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Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cyli
diamong [38]

If two cylinders are similar, then all their linear measurements have equal ratios. Hence:


\dfrac{r_A}{r_B} =\dfrac{h_A}{h_B}.


Since the radius of cylinder A is 5.6 inches, the radius of cylinder B is 1.4 inches and the height of cylinder B is 4 inches, you can find the height of cylinder A:


\dfrac{5.6}{1.4} =\dfrac{h_A}{4}.


Use the cross multiplication:


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The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
EastWind [94]

Answer:

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Step-by-step explanation:

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

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<h3>There fore, The population function can be written as ...</h3><h3 /><h3>  P(t) = 200·0.95^t</h3><h3>P(t) = 200\cdot 0.95^t</h3>
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