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4 years ago

14

Yolanda is buying supplies for school. She buys n packages of pencils at $1.40 per package and m pads of paper at $1.20 each. Wh

at does each term in the expression 1.4n + 1.2m represent? What does the entire expression represent?

2 answers:

Goryan [66]4 years ago

6 0

Answer:

the entire expression represents how much money she will spend on school supplies depending on how much packages of pencils and pads of paper.

Step-by-step explanation:

fenix001 [56]4 years ago

4 0

<h2>Answer:</h2>

1.4n + 1.2m

The first term represent the total cost of n pencils.

and the second term represent the total cost of m pads of paper.

The expression represents the total cost of all the items.

<h2>Step-by-step explanation:</h2>

It is given that:

Yolanda is buying supplies for school. She buys n packages of pencils at $1.40 per package and m pads of paper at $1.20 each.

This means that the total cost of pencils is: $ 1.40n

and total cost of pads of paper is: $ 1.20m

Hence, the total cost for the items is:

$ 1.40n+$ 1.20m

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4 years ago

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

lord [1]

We are given

The average income, I, in dollars is

$I=-425x^2+45500x-650000$

(a)

now, we are given

average income is $275000

so, $I=275000$

now, we can set them equal

and then we can solve for x

$275000=-425x^2+45500x-650000$

$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

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$x=27$ ............Answer

(b)

we are given

x=40

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$I=-425(40)^2+45500(40)-650000$

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3 years ago

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Step-by-step explanation:

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3 years ago

7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

So

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0

4 years ago

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