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NNADVOKAT [17]
3 years ago
5

GIVING BRAINLIEST Try the numbers 4, 5, 6, 7 in the equation 6 ⋅ x + 5 = 12 + 5 ⋅ x

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0
<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

6x + 5 = 12 + 5x

Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution

<em><u>Substitute x = 4</u></em>

6(4) + 5 = 12 + 5(4)

24 +5 = 12 + 20

29 \neq 32

Thus 4 is not a solution

<em><u>Substitute x = 5</u></em>

6(5) + 5 = 12 + 5(5)

30 + 5 = 12 + 25

35\neq 37

Thus 5 is not a solution

<em><u>Substitute x = 6</u></em>

6(6) + 5 = 12 + 5(6)

36 + 5 = 12 + 30

41\neq 42

Thus 6 is not a solution

<em><u>Substitute x = 7</u></em>

6(7) + 5 = 12 + 5(7)

42 + 5 = 12 + 35

47 = 47

Thus 6 is a solution

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How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
maw [93]

<span>Compound  interest  formula</span>

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

 

Where

<span>
A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t






Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,


In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}

\displaystyle{ 1.5={(1.0375^4)}^t\\\\

1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0
3 years ago
Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?
Marizza181 [45]

Answer:

6\frac{7}{8}\ miles

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0
3 years ago
I need help with question 19
Andrej [43]

Answer:

D

Step-by-step explanation:

Rotating 270 puts you in the 4th quadrant.

8 0
3 years ago
Someone please save me time, I can’t figure this one out
White raven [17]

Answer:

62.8

Step-by-step explanation:

165/28.8 = 360/x

360 x 28.8 =10,368/165 = 62.8

hope this helps <3

3 0
3 years ago
If I got a 28% on a test and my grade is an 88% he would that affect my grade?
OlgaM077 [116]
If its from one test it doesnt always affect your grades but if you are continuously getting 28% then it will badly affect your grades
7 0
3 years ago
Read 2 more answers
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