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Tom [10]
2 years ago
14

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest

rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Mathematics
1 answer:
34kurt2 years ago
4 0

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

\rm t  = \dfrac{72}{r}

where r is the interest rate and t be the time

The time for the Jill will be

\rm t = \dfrac{72}{6}\\\\t = 12\\

The time for the Cheryl will be

\rm t = \dfrac{72}{4}\\\\t = 18\\

More about the Algebra link is given below.

brainly.com/question/953809

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Find the perimeter of the triangle with vertices ​A(negative 2​,2​,3​), ​B(4​,negative 4​,3​), and ​C(7​,6​,4​).
gayaneshka [121]

Answer:

P\approx 28.872\,\text{units}

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

for the side AB: A(-2,2,3) and B(4,-4,3)

AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}

AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}

AB = \sqrt{72}

for the side BC: B(4,-4,3) and C(7,6,4)

BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}

BC = \sqrt{110}

for the side CA: C(7,6,4) and A(-2,2,3)

CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}

CA = \sqrt{98}

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

P = AB + BC + CA

P = \sqrt{72} + \sqrt{110} + \sqrt{98}

P\approx 28.872\,\text{units}

this is the perimeter of triangle ABC

6 0
3 years ago
in the cafeteria ,100 mike cartons were put out for breakfast.At the end of breakfast,27 remainded,what is the ratio of the numb
IgorC [24]
Number of cartons taken:
100 - 27 = 73
ratio of cartons taken : ratio of total cartons
73 : 100
5 0
3 years ago
The temperature at 8 a.m. was -21.3. At 11 a.m. it was -17.2. What is the difference in these two temperatures?
vagabundo [1.1K]
Subtract those two numbers
3 0
4 years ago
You are a member of the fund-raiing committee for your chool. The committee i ponoring a fair. Each member of the committee ha a
Molodets [167]

The expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250 and the total amount that can be raised is $194.

What is total revenue?

Total revenue is the amount of money earned by a company from the sale of its goods and services. In other words, businesses use this metric to determine how well their core revenue-generating operations are performing. Total revenue is directly related to marginal revenue.

Number of tickets that will be sold = 50

Number of student tickets that will be sold = t

Number of adult tickets that will be sold = 50 - t

The total amount of money that can be raised from selling 50 tickets is the sum of the total amount raised from selling student tickets and adult tickets.

Total revenue = total amount raised from selling students tickets + total amount raised from selling adults tickets

Total revenue = [3 x t] + [(50 -t) x $5]

Total revenue = $3t + $250 - 5t

Total revenue = -2t + 250

Total revenue = -2(28) + 250

Total revenue = -56 + 250 = $194

Hence, the expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250, and the total amount that can be raised is $194.

To learn more about total revenue visit,

brainly.com/question/28362822

#SPJ4

8 0
2 years ago
M ∠E = 60° and m ∠G = 85° what is m ∠L?<br><br> A: 180°<br> B: 45°<br> C: 35°<br> D: 85°
Viefleur [7K]

Answer:

The answer is C: 35°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

So, 180°-(60°+85°)

= 180°-145°

= 35°

m∠L = 35°


Hope it helps!

7 0
3 years ago
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