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QveST [7]
1 year ago
12

Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship

can be modelled by E=1/50R(1650-R), where E is Patrick's monthly earnings, in dollars, and R is the amount of rent, in dollars, he charges each tenant. if Patrick wants to earn at least $13000, between what two values should he set the rent?
Mathematics
1 answer:
belka [17]1 year ago
7 0

E=13,000 and<span>E=1/50R(1650-R)</span>

<span>
</span>

<span />0.02R(1650-R)=13000

<span>(0.02R)(1650)-0.02R²=13000</span>

<span /><span>0.02R²-33R+13000=0</span>

<span>R2-1650R+650000=0</span>

<span>SOLVE W QUAD FORMULA
</span>

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8 0
1 year ago
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If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At
kow [346]

Given:

\dfrac{dr}{dt}=1.4\text{ in/s}

\dfrac{dh}{dt}=-2.1\text{ in/s}

To find:

The rate of change in volume at r=120\text{ in. and }175\text{ in.}

Solution:

We know that, volume of a cone is

V=\dfrac{1}{3}\pi r^2h

Differentiate with respect to t.

\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]

Substitute the given values.

\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560

\dfrac{dV}{dt}=29920

Therefore, the volume of decreased by 29920 cubic inches per second.

6 0
2 years ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0
2 years ago
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s circle t) (negative 7)?
Lisa [10]

Answer:

-439

Step-by-step explanation:

(s circle t) (negative 7) is a notation for a compound function.

A compound function is a function that has as an argument another function.

Another notation for this compound function is s(t(-7)), that is, the result of the function t(-7) is the value that will be used in the function s(x).

So, first we calculate the value of t(-7):

t(x) = 3x

t(-7) = 3*(-7) = -21

Now, we apply this value for s(x):

s(x) = 2 - x2

s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439

5 0
2 years ago
Read 2 more answers
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