$2710 is compounded annually at a rate of 9% for 1 year

Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Ex

polet [3.4K]

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y = -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

5 0

3 years ago

On a number line, the directed line segment from Q to S has endpoints Q at -2 and S at 6. Point R partitions the directed line s

Alona [7]

The answer is 14/5, there ya go

7 0

3 years ago

Read 2 more answers

Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $2,700 at

stealth61 [152]

Using the formula for simple interest, it is found that he paid $119.87 in interest.

The simple interest formula is given by:

$E = PIt$

E is the amount of interest earned.
P is the principal(the amount of money invested).
I is the interest rate(yearly, as a decimal).
t is the time, in years.

In this problem:

Borrowed $2,700, thus $P = 2700$
Interest rate of 3.5%, thus $I = 0.035$
From December 26, 2019 to February 21, 2021, there were 423 days, thus the time in years is $t = \frac{423}{365} = 1.2685$

Thus, the interest paid was of:

$E = PIt = 2700(0.035)(1.2685) = 119.87$

$119.87.

A similar problem is given at brainly.com/question/9593067

5 0

2 years ago

A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did La

Hunter-Best [27]

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

4 0

2 years ago

In 2004, a survey on computer crime indicated that 7% of reported unauthorized uses of business Web sites came from inside the c

masya89 [10]

Answer:

a) H0 : P = 0.07

Ha : P ≠ 0.07

b) p -value = 0.1770

Step-by-step explanation:

P = 7% = 0.07

x (result ) = 7 , n = 163

p = x / n = 7 / 163 = 0.043

a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis

H0 : P = 0.07

Ha : P ≠ 0.07

conduct a Z- test statistic

Z = ( p - P ) / $\sqrt{\frac{P(1-P)}{n} }$

= ( 0.043 - 0.07 ) / $\sqrt{\frac{P(1-P)}{n} }$ = - 1.35

Critical value ( Z₀.₀₂₅ ) = ± 1.96

we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change

b) Determine the p-value of the test

P-value = P ( | Z | > Z )

= 2 * P ( Z < -1.35 )

= 0.1770

The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )

8 0

3 years ago

$2710 is compounded annually at a rate of 9​% for 1 year

$2710 is compounded annually at a rate of 9% for 1 year