Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

On a number line,

point S is located at – 3 and

point T is located at 9.

Ratio of S and T = 3:4

We need to find the location of point R on S and T.

According to the given details,

The distance from S to T

=> 3 + 9 = 12

Through this we know that,

=> SR + RT = 12 ---------------------(1)

Based on the ratio,

S/T = 3/4

Which is similar to,

SR/RT = 3/4

So,

SR = 3/4 RT -----------(2)

Apply the value of SR on equation (1),

Then

3/4RT + RT = 12

=> 7/4 RT = 12

=> RT = 12 x (4/7)

=> RT = 48/7

Now the location of point R,

=> OT - RT = 9 - 48/7

=> 15/7

Hence "The location of R on the number line will be 15/7".

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7 0

1 year ago

?????????????????????????

Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

$A = P(1 + \frac{r}{n})^{nt}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 275(1 + \frac{0.029}{0.5})^{0.5*4}$

$A = 275(1 + 0.058)^{2}$

$A = 275(1.058)^{2}$

$A = 275(1.1194)$

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0

3 years ago

5. If x^1/2 =8, what is the value of x?

Anastaziya [24]

The answer would be: x=24

6 0

3 years ago

1. In 2000, Florida's population was 16 million. Since 2000, the state's population has grown about 2% each

Yanka [14]

Answer:

13620000

Step-by-step explanation:

4 0

3 years ago