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Andreas93 [3]
2 years ago
14

Make r the subject of the formula

Mathematics
2 answers:
m_a_m_a [10]2 years ago
8 0

Answer:

r = \frac{p - a}{(p + a)}

Step-by-step explanation:

p =  \frac{a(1 + r)}{(1 - r)}  \\ p(1 - r) = a(1 + r) \\ p - pr = a + ar \\ p - a = pr + ar \\ p - a = r(p + a) \\  \frac{p - a}{(p + a)}  =  \frac{r(p + a)}{(p + a)}  \\ \frac{p - a}{(p + a)}  = r

hope this helps

brainliest appreciated

good luck! have a nice day!

zloy xaker [14]2 years ago
3 0

Answer:

r=\frac{-a+p}{a+p}

Step-by-step explanation:

-pr+p=ar+a

-ar-pr+p=a

-ar-pr=a-p

r(-a-p)=a-p

r=\frac{-a+p}{a+p}

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Mandarinka [93]
Use socratic instead of this
6 0
2 years ago
Help me I'm stuck!!!
Alchen [17]
Volume of the tank = length x width x height
Volume = 15.4 x 10 x 3 =  450 in³

Volume of one gallon = 231 in³

Then we need 450/231 gallons to fill the tank, that is 450/231 = 1.95 gallons
8 0
2 years ago
(a) How would you characterize the relationship between money spent on advertising and items sold?
Mashcka [7]

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

y= 1.6x+ 21.5

We put x = 30

y(30)= 1.6(30)+ 21.5\\y(30) = 69.5

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

y = mx + c

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

8 0
3 years ago
-0.7=-7/9z help me pleasseeee!​
9966 [12]
The answer is 0.9 if z is in the numerator and if it is in the denominator it is 1/9
7 0
2 years ago
One technique of killing cancer cells involves inserting microscopic synthetic rods, called carbon nanotubules, into the cell. W
Vlad [161]

Answer:

The probability that the cell will be killed is 0.9328.

Step-by-step explanation:

We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.

Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be '\text{B}_i'.

This means that the cell will get killed if \text{B}_1 \bigcup \text{B}_2 \bigcup \text{B}_3 \bigcup \text{B}_4 \bigcup \text{B}_5 happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.

Here, P(\text{B}_1) = 0.2, P(\text{B}_2) = 0.4, P(\text{B}_3) = 0.3, P(\text{B}_4) = 0.6, P(\text{B}_5) = 0.5.

So, the probability that the cell will be killed is given by;

P(A)= 1 - [(1 - P(\text{B}_1)) \times (1 - P(\text{B}_2)) \times (1 - P(\text{B}_3)) \times (1 - P(\text{B}_4)) \times (1 - P(\text{B}_5))]

P(A) = 1 - [(1 - 0.2) \times (1 - 0.4) \times (1 - 0.3) \times (1 - 0.6) \times (1 - 0.5)]

P(A) = 1 - (0.8 \times 0.6 \times 0.7 \times 0.4 \times 0.5)

P(A) = 1 - 0.0672 = 0.9328

Hence, the probability that the cell will be killed is 0.9328.

4 0
3 years ago
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