How do you make this 32:___ =12:24 equivalent

Oliva is a stockbrocker. She makes 4% of her sales in commission.Last week,she sold $7,200 worth of stocks.

belka [17]

A) Commission made last week is $ 288

B) Commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

Solution:

From given,

Commission rate = 4 %

Last week,she sold $7,200 worth of stocks

A. ) How much commission did she make last week?

Therefore,

$Commission\ amount = 4 \% of\ 7200\\\\Commission\ amount = 4 \% \times 7200\\\\Commission\ amount = \frac{4}{100} \times 7200\\\\Commission\ amount = 4 \times 72\\\\Commission\ amount = 288$

Thus commission made last week is $ 288

B)

Given that,

If she were to average that same commission each week

To find the commissions earned in a year, treating a year as having exactly 52 weeks

Therefore,

$commissions\ earned\ in\ a\ year = 288 \times 52\\\\commissions\ earned\ in\ a\ year = 14976$

Thus commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

3 0

3 years ago

Find the fourth angle. picture below pleasae help

erastovalidia [21]

Answer:

88°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Identify

We have a polygon, so n = 4.

Substitute [SA]: 180(4 - 2)°
(Parenthesis) Subtract: 180(2)°
Multiply: 360°

This tells us the sum of all angles in the shape.

Step 2: Solve for x

Set up equation: 90° + 93° + 89° + x° = 360°
Combine like terms: x° + 272° = 360°
Isolate x: x = 88°

4 0

3 years ago

Construct:AB equals to 5cm,A equals to 90 degree and draw the angle bisectors from A.

12345 [234]

Step-by-step explanation:

this is your answer. make sure that you construct a scale diagram.

7 0

3 years ago

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿

Murljashka [212]

Answer:

Al estudiante le falta caminar $\frac{1}{3}$ de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción $\frac{2}{3}$ .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción $\frac{1}{2}$ , por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

$\frac{1}{2} *\frac{2}{3}$

Resolviendo:

$\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}$

Entonces, la distancia recorrida en bus es $\frac{1}{3}$ de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

$\frac{2}{3} - \frac{1}{3}$

Resolviendo:

$\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}$

Al estudiante le falta caminar $\frac{1}{3}$ de kilómetro.

6 0

3 years ago

Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20

kicyunya [14]

The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:

Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8

So, the mean absolute deviation of the following set of data is 4.5

4 0

3 years ago

How do you make this 32:___ =12:24 equivalent ​

How do you make this 32:___ =12:24 equivalent