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vivado [14]
3 years ago
9

V = I ( R + r ) r = ?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

r = \frac{V-IR}{I}

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

\frac{V-IR}{I} = r

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The cost of a telephone call is $.75 Plus $.25 the number of minutes right in algebraic expression that models the cost of a tel
kipiarov [429]
I think you meant 0.25x the number of minutes.

so...0.25x(mins)+0.75= Y (total cost)
4 0
3 years ago
Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth
Scrat [10]

Answer:

Cost of small box = $13

Cost of large box = $18

Step-by-step explanation:

Let the cost of small box of candy = $s

And the cost of large candy box = $b

Beth sold 9 small and 10 large boxes of candies for $297.

9s + 10b = 297 -----(1)

Sarah sold 8 small and 5 large boxes of candies for $194.

8s + 5b = 194 -------(2)

Multiply equation (2) by 2 then subtract equation (1) from (2).

2(8s + 5b) - (9s + 10b) = (2×194) - 297

16s + 10b - 9s - 10b = 388 - 297

7s = 91 ⇒ s = $13

From equation (2),

(8×13) + 5b = 194

104 + 5b = 194

5b = 90

b = $18

6 0
3 years ago
Can someone please do this substitution method question with the working out.
timurjin [86]

Answer:

Step-by-step explanation:

T = \frac{1}{2}m^{2}+2m - 4\\\\T = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 - 2m - 4 = 0

Combine like terms

\frac{1}{2}m^{2}+2m - 2m - 4 - 4 = 0\\\\\frac{1}{2}m^{2} - 8 = 0\\\\\frac{1}{2}m^{2} =8\\\\m^{2} = 8*2\\\\m^{2} = 16\\\\m = \sqrt{16}

m = ± 4

6 0
3 years ago
Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest
Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

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

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be 1800*160=\$288000.

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = 1179415.39-288000=\$891415.39

7 0
4 years ago
Read 2 more answers
What is the point-slope form of a line with slope 3 that contains the point (2,1)?
Serjik [45]

Answer:

A) y-1=3(x-2)

Step-by-step explanation:

Point-slope formula.

y-y_1=m(x-x_1)

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

8 0
4 years ago
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