The jobless rate for Italy in January 2015 was 13.4%. In a random sample of 50 employable adults in one city, 8 were unemployed

Mel drove 230 miles in 4 hours an pia drove 230 miles in 5 hours who drove faster?

babunello [35]

Mel drove faster because they drove the same amount of miles (230) but Mel drove that in 4 hours and pia drove that in 5 hours so in conclusion Mel drove faster

5 0

3 years ago

The graphs of y = f(x) and y = g(x) are shown on the coordinate plane below. If g(x) = k* f(x), what is the value of k?

mixer [17]

Answer:

Value of k = -2

Step-by-step explanation:

Using slope intercept form:

The equation of line is given by:

y = mx+b

where, m is the slope and b is the y-intercept.

As per the statement:

The graphs of y = f(x) and y = g(x) are shown on the coordinate plane.

First find f(x):

Consider two points on y=f(x) are:

(0,-3) and (2, 1)

Formula for slope:

$\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}$

then;

$m = \frac{1-(-3)}{2-0}=\frac{4}{2} = 2$

then;

$y = 2x+b$

Substitute the point (0, -3) to solve for b:

$-3= 2(0)+b$

⇒ $-3=b$

∴ $y=f(x)=2x-3$

Similarly for g(x):

Consider two points on y = g(x) are:

(0, 6) and (2, -2)

then;

$\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}$

then;

$m = \frac{-2-6}{2-0}=\frac{-8}{2} =-4$

then;

$y = -4x+b$

Substitute the points (0, 6) to solve for b:

$6= -4(0)+b$

⇒ $6=b$

then we get an equation:

y = g(x) = -4x+6

It is given that: If g(x) = k* f(x)

Solve for k:

$-4x+6 = k(2x-3)$

⇒ $-4x+6 = 2kx-3k$

on comparing both sides we have;

$-2kx = -4x$

⇒ $-2k = -4$

Divide both sides by -2 we have;

$k = 2$

or

-3k = 6

⇒k = -2

Therefore, the value of k is, -2

7 0

3 years ago

Read 2 more answers

Total of 589 tickets were sold for the school play. they were either adult tickets or student tickets. there were 61 fewer stude

olga_2 [115]

A+S=589
S=a-61
A+A-61=589
2a=589+61
2a=650
A=325
S=325-61
S=264
Hope this helps

8 0

3 years ago

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make

Tresset [83]

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

3 0

3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$