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natita [175]
3 years ago
7

Evaluate the function below at x=7. Then enter your solution rounded up to 2 decimal places. 1500•1.09^x

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

Value of the function will be 2742.06

Step-by-step explanation:

Given function is,

f(x) = 1500(1.09)ˣ

By substituting the value of x we can find the value of the given function.

For x = 7,

f(7) = 1500(1.09)⁷

     = 1500(1.828)

     = 2742.0587

     ≈ 2742.06

Value of the function will be 2742.06

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A certain type of corn grows at the rate of 3 inches per week. is this example linear or exponential? answer
denis23 [38]

Suppose the corn size is 10 inches now. SO, according to the problem it grows 3 inches per week. Hence corn will be

10+3=13 in the next week.

13+3=6 in the second week

16+3=19 in the third week and so on.

So, the changes in the plant size is always equal.

Hence, it's an example of linear function.

4 0
4 years ago
Please answer i need help quick
Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0
4 years ago
Equalenlent expression to 24y+16 with distributive propertie
Inessa [10]

8(3 y+2)

Step-by-step explanation:

To apply the distributive property you need to use parentheses and multiply outside numbers with inside numbers or terms

24 y+16

8(3 y+2)

Learn More

Distributive Property:brainly.com/question/11916234

Keywords: equivalent expression, distributive property

#LearnwithBrainly

6 0
4 years ago
Help please will mark brainliest answer!!! ASAP!!!
dezoksy [38]
P = principal (initial amount), r = rate of interest, and t = time

So, A = 3000(1+0.025)^4

Answer: $3,311.44 (approximately)
6 0
3 years ago
It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts=1114 \text{miles}

Time taken to cover the distance =4\text{hours} and 15\text{minutes}

We know that,

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

                                          =\frac{1114}{\frac{17}{4}}

                                          =\frac{1114\times4}{17}

                                          =262.12 \text{mph}

It is given that,

1\text{mile}=1.6\text{kilometer}

therefore,

1\text{mph}=1.6\text{kph}

Speed Of plane in Kilometers per hours =\text{speed in mph}\times1.6

                                                                   419.4\text{kph}

Speed of in miles per hour  is 262.12 \text{mph} and Speed in kilometer per hour  419.4\text{kph}

3 0
4 years ago
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