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Lena [83]
2 years ago
8

Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is

given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?
Mathematics
1 answer:
alexandr1967 [171]2 years ago
8 0

Answer:

Part A:

She would need $598 after 6 weeks of collecting money.

Part B:

She would have waited 17 weeks to have $411 left.

Step-by-step explanation:

Part A:

Replace w in 700 - 17w with 700 - 17(6).

This would give you $598 left until $700 has been reached.

Part B:

Replace w in 700 - 17w with 700 - 17(17).

This would give you $411 left until $700 has been reached.

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One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R
marusya05 [52]

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

Urn\ 1 = \{B_1, R_1, R_2, R_3\}

Urn\ 2 = \{R_4, R_5, B_2, B_3\}

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]

If urn 2 is selected, the following selection exists:

B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]

<em>See attachment for possibility tree</em>

Solving (b): The total number of outcome

<u>For urn 1</u>

There are 4 balls in urn 1

n = \{B_1,R_1,R_2,R_3\}

Each of the balls has 3 subsets. i.e.

B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]

So, the selection is:

Urn\ 1 = 4 * 3

Urn\ 1 = 12

<u>For urn 2</u>

There are 4 balls in urn 2

n = \{B_2,B_3,R_4,R_5\}

Each of the balls has 3 subsets. i.e.

B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]

So, the selection is:

Urn\ 2 = 4 * 3

Urn\ 2 = 12

Total number of outcomes is:

Total = Urn\ 1 + Urn\ 2

Total = 12 + 12

Total = 24

5 0
2 years ago
C(x)=2x^2-400x+31,000
NemiM [27]
This is a quadratic so if you want to find the solutions, use the quadratic formula. Google quadratic formula and videos on it and how to use it will pop up.
7 0
3 years ago
I need answers pls I have a test right now
barxatty [35]

On question 9, x = 0.46284330

6 0
2 years ago
shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her se
ki77a [65]

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

5 0
3 years ago
If 4/5 of a population of a certain town is considered to be middle class and the population of the town is 2000 how many people
const2013 [10]
First, you would need to create an equation for this problem.
\frac{4}{5} = \frac{x}{2,000}

Next, you would cross multiply. 
5x = 8,000

Now, all you would have to do is isolate the x. To do this, you would divide both sides by 5. 
x = <span>1,600

1,600 people are considered middle class. 

I hope this helps!</span>
8 0
2 years ago
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