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egoroff_w [7]
3 years ago
6

What’s the correct answer for this question?

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Half of its original value=

\frac{1350}{2} \\ =675

Years for the television set to be worth half of its original value=

\frac{675}{2}\\ =4.0909...

≈ 4.1

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This question has two parts. First answer Part A, then answer Part B. Part A
rodikova [14]

Answer:

A. a_n=2a_{n-1}

B. 160

Step-by-step explanation:

Silvia does 5 sit-ups on the first day of her exercise program. Each day thereafter she does twice as many sit-ups as the day before. Hence

1st day - 5 sit-ups

2nd day - 10 sit-ups

3rd day - 20 sit-ups

...

A.

a_1=5\\ \\a_2=2a_1\\ \\a_3=2a_2\\ \\...\\ \\a_n=2a_{n-1}

The recursive formula that models the number of sit-ups she does each day is

a_n=2a_{n-1}

B.

a_6=2a_5=2\cdot 2a_4=4\cdot 2a_3=8\cdot 2a_2=16\cdot 2a_1=32\cdot 5=160

7 0
3 years ago
Read 2 more answers
By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one mo
Andrei [34K]

Answer:

(a) y = 0.025x+15

(b) 18.5 minutes

(c) 450.4 minutes

Step-by-step explanation:

Given

290\ minutes = \$22.25

360\ minutes = \$24.00

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (290,22.25)

(x_2,y_2) = (360,24.00)

So, we have:

m = \frac{24.00 - 22.25}{360 - 290}

m = \frac{1.75}{70}

Multiply through by 100

m = \frac{1.75 * 100}{70 * 100}

m = \frac{175}{7000}

Next, is to calculate the equation of the line using:

y - y_1 = m(x - x_1)

Recall that:

(x_1,y_1) = (290,22.25)

m = \frac{175}{7000}

y - 22.25 = \frac{175}{7000}(x - 290)

y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290

y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}

Add 22.25 to both sides

y = \frac{175x}{7000} - \frac{5075}{700}  + 22.25

y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}

y = \frac{175x}{7000} + \frac{10500}{700}

y = 0.025x+15

(b) Solve for y when x = 140

y = 0.025x+15

Substitute 140 for x

y = 0.025 * 140 + 15

y = 3.5 + 15

y = 18.5

(c) Solve for x when y = 26.25

y = 0.025x+15

Substitute 26.25 for y

26.25 = 0.025x + 15

Solve for 0.025x

0.025x = 26.26 - 15

0.025x = 11.26

Solve for x

x = 11.26/0.025

x = 450.4\ minutes

3 0
3 years ago
I need help with both of em
FinnZ [79.3K]
On 16 you divide 18 by 2 then take the answer from that and add that with 2
4 0
3 years ago
Read 2 more answers
Haddie wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees
evablogger [386]
Haddie wrote a check to the grocery store for $156.00. And turns out to only become 122.66 dollars the time she checked it later that night.Now, when she checked it in her banks, I believe there are fees charged to her written check. Now, let's find out how much will that be:=> 156 dollarss to 122.66 dollars=> 33.34 dollars=> 33.34 / 156 =0.21=> 0.21 * 100% = 21%<span>Thus, the bank opted 21% of her written check</span>
5 0
3 years ago
Combine and Simplify
-Dominant- [34]

Combine like terms (terms with the same variable (letter)). Remember to bring the sign.

4c - 4d + 8c - 3d

4c + 8c = 12c

-4d - 3d = -7d

12c - 7d is your answer

hope this helps

5 0
3 years ago
Read 2 more answers
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