Z is directly proportional to x, that means :
z = k.x, with k is the coefficient of proportionality:
Let calculate k:
When x = 5, z = 55. Plug in:
55 = k.5 → k=55/5 ; k =11
The value of z when = 12 is : z= kx; z = 11(12) and z = 132

8 0

4 years ago

Read 2 more answers

a student borrows $3000 at 15% for 6 months to pay tuition. find the total amount due using simple interest. total amount due af

wolverine [178]

The total amount due after a given period of time is given by the following formula:

$A=P(1+rt)$

This is for simple interest. A is the total amount due. t is the period of time, r is the interest rate and P is the initial amount borrowed.

To use the formula, t and r must have the same unit of time (both in years or both in months for example). We have the yearly rate as 15%, or well, 0.15. The period is 6 months, which will be half a year, or well, 0.5 years. With this information, we can now replace the values on the formula:

$\begin{gathered} A=3000\cdot(1+0.15\cdot0.5) \\ A=3225 \end{gathered}$

With this, the total amount due will be $3225.

Alternatively, we can first calculate the interest due with the following formula:

$I=P\cdot r\cdot t$

And add this amount to the initial amount of money borrowed to estimate the total amount due.

$\begin{gathered} I=3000\cdot0.15\cdot0.5 \\ I=225 \end{gathered}$

After six months, the student has to pay the $3000 borrowed, plus $225 of interest:

$\begin{gathered} A=3000+225 \\ A=3225 \end{gathered}$

Answer. Total amount due after 6 months: $3225.

6 0

1 year ago

The wheeling Bridge of west virginia is about 307 .8 meters long. If you walk with a stride about 7/10 meter, about how many ste

Anuta_ua [19.1K]

Answer:

440 I believe is the answer

Step-by-step explanation:

307.8 divided by( 7/10), which gets you 439.714285714. But you round up because if you round down, it would not be enough steps :)

5 0

3 years ago

20 POINTS AND BRAINLIEST

emmainna [20.7K]

To solve this equation we must first plug in 5 for x.

$\frac{1}{3}$ (5 - 4x)
↓
$\frac{1}{3}$ (5 - 4 · 5)

The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.

$\frac{1}{3}$ (5 - 4 · 5)

$\frac{1}{3}$ (5 - 20)

The next step would be to subtract both of the numbers within the parenthesis.

$\frac{1}{3}$ (-15)

Now we must multiply.

- $\frac{1}{3}$ · 15 = - $\frac{1×15}{3}$

- $\frac{15}{3}$

Now we simplify our answer to get our final answer.

-5

8 0

4 years ago