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Sphinxa [80]
3 years ago
13

Dumsani earns R42 480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save

?
Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

Answer:

R17 700

Step-by-step explanation:

Dumsani earns R42 480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

Step 1

We have ratio 7:5

The sum of the proportion = 7 + 5 = 12

We are told in the above question, that he saves the lesser amount

The lesser ratio = 5

Hence, the amount he saves is calculated as:

5/12 of R42 480

= 5/12 × R42 480

= 5 × 3540

= R17 700

Therefore, he saves R17 700

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timama [110]
14 times 14=196
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal
8 0
3 years ago
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
4 years ago
Read 2 more answers
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, wha
algol13

Answer:

A = 3

Step-by-step explanation:

Given

(5x² + 3x + 4) - (2x² + 5x - 1)

Remove the parenthesis from the first and distribute the second by - 1

= 5x² + 3x + 4 - 2x² - 5x + 1 ← collect like terms

= 3x² - 2x + 5

In the form Ax² + Bx + C

with A = 3

7 0
4 years ago
Read 2 more answers
What is the value of x?<br> Please help fast will give brainliest help fast
serious [3.7K]

Answer:

17

Step-by-step explanation:

because of the kind of angle it is, the two equations are equal. So, put the equations equal to each other and solve:

x+35=3x+1

combine like terms (by subtracting)

2x=34

isolate x by dividing by 2

x=17

17

8 0
3 years ago
Read 2 more answers
For which equation would x = 8 not be a solution?
Olegator [25]

Answer:

b. 4x = 48

Step-by-step explanation:

If you look closely an multiply 4 x 8, it equals 32, not 48

The other equations:

8 x 8 does equal 64

10 x 8 does equal 80

9 x 8 does equal 72

It's pretty simple once you try each problem first

Hope this helps!

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3 years ago
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