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Kaylis [27]
3 years ago
12

Helpppppppppppppppppppppppppppppppp

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

x ≤ -14

Step-by-step explanation:

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21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

A = P(1 + \frac{r}{100})^{n}

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

so

we have

A = 475(1 + \frac{3.8}{100})^{4}

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

5 0
4 years ago
What are the vertex and x-intercepts of the graph of the function below?
geniusboy [140]

y= x^2 - 6x-7

Vertex = -b /2a

b= -6

a= 1

-(-6)/2(1)= 3

x= 3

Use the substitution method to find y

y= (3)^2-6(3)-7

(3)(3)-18-7

9-25

y= -16

Vertex is (3, 16)

Find x- intercept (y= 0)

y= x^2 - 6x-7

(x-7)(x+1)

x-7= 0

Move -7 to the other side. Sign changes from -7 to 7

x-7+7= 0+7

x= 7

x+1= 0

Move +1 to the other side. Sign changes from +1 to -1

x+1-1= 0-1

x= -1

Answer :B. Vertex: (3, -16); Intercepts: x=-1,7

5 0
3 years ago
8. The equation of a line is y = 2x = 3. Write the equation of a line<br> parallel to this line.
laila [671]

Answer:

(3/2,3)

Step-by-step explanation:

1.Rewrite the equation

y=3 2x=3

2.Solve the equation

y=3 x=3/2

(x,y)=(3/2,3)

5 0
3 years ago
What is the area of the following composite figure? Round your answer to the nearest hundredth.
baherus [9]

Answer:

139.79 yd²

Step-by-step explanation:

area of rectangle = l·w

A = 12·9 = 108

area of semi-circle = 1/2πr²

A = 1/2·(3.14)·(9/2)²

A = 31.79

area of composite shape = 108 + 31.79

A = 139.79

4 0
3 years ago
(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected
Lera25 [3.4K]

Answer:

a.   0.71

b.   0.9863

Step-by-step explanation:

a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.

-To estimate the probability that a randomly selected house  has a value less than $500,000:

P(X

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b. -since 40 is larger than or equal to 30, we assume normal distribution.

-The probability can therefore be calculated as:

P(\bar X)=P(z

Hence, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

3 0
3 years ago
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