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amid [387]
2 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]2 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]2 years ago
6 0

Answer:

255.75

Step-by-step explanation:

You might be interested in
Whats the answer of -5+-2p=-9
Nikolay [14]

Answer:

p = 2

Step-by-step explanation:

Step 1: Write equation

-5 + -2p = -9

Step 2: Solve for <em>p</em>

<u>Simplify:</u> -5 - 2p = -9

<u>Add 5 to both sides:</u> -2p = -4

<u>Divide both sides by -2:</u> p = 2

Step 3: Check

<em>Plug in p to verify it's a solution.</em>

-5 - 2(2) = -9

-5 - 4 = -9

-9 = -9

7 0
2 years ago
Read 2 more answers
In 2015, Ed spent $800 buying lunches. In 2017, he spent $550 buying lunches. What was the rate of change from 2015 to
marta [7]

9514 1404 393

Answer:

  $125 per year

Step-by-step explanation:

In the 2 years from 2015 to 2017, the spending on lunches increased by ...

  $800 -550 = $250

That is an average per year of ...

  $250/(2 yr) = $125/yr . . . . average dollar increase per year

_____

<em>Additional comment</em>

For costs, it is often true that they follow an exponential curve, not a linear one. Ed's spending increased by a factor of 800/550 = 16/11 in the two years, so an average percentage increase of √(16/11) -1 = 20.6% per year.

7 0
3 years ago
The difference between two integers is 13 and their sum is 87. What are the two integers
e-lub [12.9K]
The answer would be 50 and 37.

50-37 = 13

50+37 = 87
4 0
2 years ago
Read 2 more answers
I need help with my math
hjlf

Answer:

19 yards squared

Step-by-step explanation:

3x5=15

2x2=4

15+4=19

7 0
2 years ago
Read 2 more answers
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue,
NNADVOKAT [17]

Complete question :

A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?

A) P(x2 ≥ 8.2) = 0.08

B) P(x2 ≥ 8.2) = 0.04

C) P(x2 ≤ 8.2) = 0.96

D) P (x2 = 8.2) = 0.00

E) The p-value cannot be calculated because the sample size is not given.

Answer:

P(χ² ≥ 8.2) = 0.04

Step-by-step explanation:

We need to obtain the degree of freedom ;

Number of levels, k - 1

k = (white, blue, red, black) = 4

df = k - 1= 4 - 1 = 3

The test statistic, χ² = 8.2

The Pvalue is the probability of a Chisquare statistic with 3 degree of freedom is equal to or more extreme than the statistic value, 8.2

Using the Pvalue for calculator from Chisquare statistic, at 3 degree of freedom

Pvalue(8.2, 3) = 0.042

Hence,

P(χ² ≥ 8.2) = 0.04

5 0
3 years ago
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