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Julli [10]
3 years ago
11

6/16= d/12 what makes d a true proportion

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0
D/12=6/16  multiply both sides by 12

d=72/16

d=9/2

d=4.5
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motikmotik
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Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line 2x + 9y − 6 = 0.
vesna_86 [32]
Perpendicular has the reciprocal slope and u have to put the point given into point slope.

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3 0
3 years ago
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
Olive flipped a coin and rolled a number cube with the
Nina [5.8K]

Answer:

p

Step-by-step explanation:

8 0
3 years ago
Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s
timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

y = m(x - x_1) + y_1

Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

y = 5

6 0
3 years ago
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