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Solnce55 [7]
2 years ago
5

A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

the value of the home after x years?
Mathematics
1 answer:
Wewaii [24]2 years ago
7 0

Answer:

y=120,000(1.055)^x

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

a=\$120,000\\r=5.5\%=5.5/100=0.055

substitute

y=120,000(1+0.055)^x

y=120,000(1.055)^x

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Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
Alex787 [66]

Answer:

Correct option: third one ->  11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.

6 0
2 years ago
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The table shows ticket prices for the local minor league baseball team for fanclub members and non-members. For how many tickets
nordsb [41]
The club members would have to buy 2 to have the same amount as one non club members
3 0
2 years ago
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A survey on healthy choices was given to gym members at Work It Out. The results
irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank  protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank   protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members  who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

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Drank shakes                       27                   63                      90

Doesn't Drank shakes          1                      9                        10

Total                                      28                   72                     100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: \frac{72}{100}=0.72

Hence, the correct option is 4) 0.72.

5 0
2 years ago
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

A\leq 27\ m^{2}

so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

L=(x-9)+6

L=x-3 ------> equation D

Substitute equation B and equation D in the inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The solution for x is the interval---------->[0,12]

see the attached figure

but remember that

The width of the base must be 9 meters less than the height of the prism

so

the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
2 years ago
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Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con
VLD [36.1K]

Answer:

The ration of the volume of  cone to that of   cylinder is   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}  

Step-by-step explanation:

From the question we are told that

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Now the ratio we are to obtain is

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                   \frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}         Note: this is possible because the height and base

                   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}        radius  are the same

6 0
2 years ago
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