The product of 9 and a number is 12 less than three times that number.<br><br> What is the number?

Money is borrowed at 14% simple interest. After one year, $1249.44 pays off the loan. How much was originally borrowed? I got $1

WITCHER [35]

The formula is
A=p (1+rt)
A future value 1249.22
P present value ?
R interest rate 0.14
T time 1 year
We need to solve for p
P=A÷(1+rt)
P=1,249.22÷(1+0.14×1)
P=1,095.81 round your answer
P=1096

Hope it helps

8 0

3 years ago

Which pair of ratios form a proportion?

boyakko [2]

5:8 and 20:32 would be a proportion.

Easy way to find this:
Set up the proportion as a fraction.
Use the cross product property. Multiply the diagonals and if the products of the diagonals are the same, then they are proportional.

3 0

4 years ago

Read 2 more answers

Find the slope of the line passing through the points (-2,-2) and (6,-2).<br> slope

kap26 [50]

Answer:

0/8

Step-by-step explanation:

Slope equals y 2 minus y 1 divided by x 2 minus x 1

-2-(-2)/6-(-2)

0/8

4 0

3 years ago

A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes,

zlopas [31]

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .
And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

8 0

3 years ago

Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that

timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

$H-0: x bar = 24\\H_a: x bar \neq 24$

(two tailed test at 5% level of significance)

24

28

24

22

25

26

25

mean 25

sd 3.142857143

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0

4 years ago

The product of 9 and a number is 12 less than three times that number. What is the number?