Use the elimination method to solve the system of equations. Choose the

1 CARD IS SELECTED FROM DECK.WHATS IS THE PROBABILITY OF GETTING DIAMOND IS

Deffense [45]

Answer: 13 out of 52 cards. 25% chance of pulling a diamond faced card.

Steps: 13/25= 0.25

4 0

4 years ago

Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total

sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

For Charles City we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

$y = C_1 (2^{x-1})$

Where:

$C_1$ is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

$Charles\ City\ (km) = 5(2^{x-1})$

For Tinsel Town we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

$Tinsel\ Town\ (km) = 21 + 5(x-1)$

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

$5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0$

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

$5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11$

For x = 4

$5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4$

The value must be between x = 3 and x = 4

For x = 3.8

$5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18$

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0

4 years ago

WHO WANTS BRAINIEST? WHOEVER ANSWER CORRECTLY ILL GIVE YOU BRAINIEST

castortr0y [4]

Answer:

7, true, sextic binomial

Step-by-step explanation:

highest degree is 7, it is a monomial, 6th degree two terms.

8 0

4 years ago

Income tax is 5% on the first $50,000.00 of income or less, and 8% on any income in excess of $50,000.00. Let T(x) be a function

Citrus2011 [14]

Answer:

2Sales $1,120,000.00 $1,000,000.00

3 Cost of goods sold 971,250.00 875,000.00

4 Gross profit $148,750.00 $125,000.00

5 Selling expenses $71,250.00 $62,500.00

6 Administrative expenses 56,000.00 50,000.00

7 Total operating expenses $127,250.00 $112,500.00

8 Income before income tax $21,500.00 $12,500.00

9 Income tax expense 8,000.00 5,000.00

10 Net income $13,500.00 $7,500.00

Required: A. Prepare a comparative income statement with horizontal analysis for the two-year period, indicating the increase (decrease) for the current year when compared with the previous year. Use the minus sign to indicate an amount or percent decrease. If required, round percentages to one decimal place. B. What conclusions can be drawn from the horizontal analysis?

Step-by-step explanation:

3 0

3 years ago

What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]

never [62]

The average rate of change of a continuous function, f(x) , on the closed interval [a,b] is given by

f(b)−f(a)b−a

5 0

4 years ago