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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:

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees​
Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

  including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

  and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0
2 years ago
A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled
Rufina [12.5K]

Answer:

  (2, 0)

Step-by-step explanation:

The only table entry with y = 0 is (x, y) = (2, 0). That is the x-intercept.

8 0
2 years ago
Read 2 more answers
When solving negative one over five -1/5 (x − 25) = 7, what is the correct sequence of operations
aleksandr82 [10.1K]

The solution would be like this for this specific problem:

 

\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot
\left( { - 5} \right)

 

 

\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) = 1

 

The correct sequence of operations when solving negative one over five (x − 25) = 7 would be multiply each side by −5, and adding 25 to each side.

5 0
2 years ago
Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)? A
jasenka [17]

Answer:

3 units below the y-intercept of g(x) is the y-intercept of f(x)

Step-by-step explanation:

g(x)=x+2 and f(x)=x-1

In f(x)= mx+b the y intercept is b

In g(x)=x+2, the y intercept value is 2

In f(x)=x-1, the y intercept value is -1

the difference in y intercept is +2-(-1)=+3

3 units below the y-intercept of g(x) is the y-intercept of f(x)

4 0
2 years ago
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Mr. Trager has $600.00 to spend at a bicycle store
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Total money = $600

Bicycle cost = $253.98

3 bicycle reflector = 3×$7.5 =$22.5

Bicycle helmet = $42.36

Total money spent will be equal to the = $(253.98+22.5+42.36)

= $318.84

Amount remaining = $(600-318.84)

= $281.16

The number of outfit he can get at $78.12 = $281.16/78.12 = 3.60

He can get 3 outfit and have $0.60

Left

7 0
2 years ago
Read 2 more answers
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