Roy's average balance checking account pays simple interest of 4.8% annually, and he made $2.25 in interest last month. What was Roy's average balance last month?

Answers

Answer 1
Answer: $562.50.

Thats what it is but it thinks im explaining it but im not because thats more than 20 characters

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the telephone company purchased 95 yards of wire for $1235 in september. they plan on making a purchase of 285 yards in October. how much will the same wire cost then

Answers

ratio and propoertion

cost/amount is constant
1235/95=x/285
cross multiply or time both sides by (95 times 283)
351975=95x
divide oth sies by 95
3705=x

the cost is $3705

In the triangle shown, what is the value of the missing angle?139°


41°


65°


74°

Answers

Because angles in a triangle add up to 180, you can add up the given angles and then take that answer away from 180, so:
65 + 74 = 139
180 - 139 = 41°
So your answer is 41°, I hope this helps!
the answer is 41 degrees

a triangle has 180degrees, is two of the angles add to equal 139 then subtract that from 180 and you get your answer if 41

Two towns are located at points A(2,-2) and B (8,5). A new school is to be built on a straight road with equation -x+7y=-4. Find the location of the school so that it is equaidistant from the two towns

Answers

Final answer:

The problem asks for a location that is equidistant from towns A and B and lies on the given road. Calculating the midpoint of A and B, we get (5, 1.5). However, this point does not lie on the road denoted by -x + 7y = -4. So, we cannot determine the exact location of the school with the given conditions.

Explanation:

In this problem, the location of the school should be the midpoint of the line between towns A and B as it is equidistant from both towns. First, let's calculate the midpoint (M) coordinates. The formulas for finding the x and y coordinates of the midpoint are (x1 + x2) / 2 and (y1 + y2) / 2 respectively. Using these formulas, we get the coordinates of M as (2+8)/2, (-2+5)/2 = (5, 1.5). However, we should ensure that this point lies on the given road, which is denoted by the equation -x + 7y = -4. Substituting the coordinates of M in the equation, we get -5 + 7*1.5 = -5 + 10.5 = 5.5 which is not equal to -4. So, (5, 1.5) is not a valid location for the school. Unfortunately, with the given conditions, we cannot determine the exact location of the school. Additional information or revision of the conditions might be necessary to solve this problem.

Learn more about Coordinate Geometry here:

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ursula earns $9 per hour. to write an expression that tells how much money ursula earns for h hours, josh wrote 9\h. sarah wrote 9h. whose expression is correct and why

Answers

The important information's already given in the question can be used to find the correct answer.
In 1 hour Ursula earns = 9 dollars
So
In h hours Ursula earns = (9/1) * h dollars
                                       = 9 * h hours
                                       = 9h hours
So we have found from the above discussion that Sarah wrote the correct answer and it was 9h.I hope you are satisfi3ed with the answer and theexplanation that I have provided. You can use this procedure for solvingsimilar problems.




Sarah is correct because if Ursula is earning $9 per hour then every hour you can add 9. Lets say h=2 then you would multiply 9*2 to get how much she spent. Josh is incorrect because dividing would subtract the amount of money every our.

Hope this Helps

A population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t^3) where t is measured in years from 1996. Find the acceleration in the population t years from 1996.a)60t people per year^2
b)30t people per year^2
c)600t people per year
d)36t people per year^2

Answers

The acceleration in the population t years from 1996 is 60t people per year^2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

It is given that a population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t³) where t is measured in years from 1996.

Now, in order to find the acceleration in the population t years from 1996, we need to find the second derivative of the populationfunction, therefore,

P(t)=10(3+0.5t+t³)\n\nP'(t)=10(0.5+3t^2)\n\nP''(t)=10(6t)\n\nP''(t)=60t

Hence, the acceleration in the population t years from 1996 is 60t people per year^2.

Learn more about Function:

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Since the required is the acceleration in the population, the second derivative of the equation is needed.
The first derivative has to be determined first.
dP(t)/dt = 10(0.5+3t^2)
Next, the second derivative can be determined using the first derivative:
d2P(t) = 10(6t) = 60t
Since it's acceleration, the unit is per year^2

THE ANSWER IS a) 60t people per year^2 

Numbers like 7.478478... and 2.3565656... are rational or irrational. Give reason .

Answers

These numbers are irrational because they cannot be written in the form: (x)/(y).

Only rational numbers can be written in the ratio form.