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2 years ago

A mobile phone company changes its rental charge from $80 to per to $7.50per month.

Mathematics

1 answer:

irinina [24]2 years ago

6 0

Answer:

6.6%

Step-by-step explanation:

Note: I had to correct the given data

Given data

Initial charges= $7.50

Final charges= $8.0

Percent increase

% increase= Final-initial/initia*100

% increase= 8-7.5/7.5*100

% increase= 0.5/7.5*100

% increase= 0.066*100

% increase= 6.6%

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Maurinko [17]

Answer:

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Step-by-step explanation:

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3 years ago

Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

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1 year ago

Mary Beth has 14.8 pounds of horse feed left to feed her horses. She feeds her horses 7 pounds of horse feed a day. About how ma

andreev551 [17]

$< = .6 < .301.62.. = 620.123$

4 0

2 years ago

Read 2 more answers

Find the length of the segment indicated.<br><br> A. 16.4<br> B. 11.4<br> C. 12.1<br> D. 13.3

kykrilka [37]

using Pythagorean triplet

$\\ \sf\longmapsto P^2=H^2-B^2$

$\\ \sf\longmapsto x^2=19.6^2-15.4^2$

$\\ \sf\longmapsto x^2=384.16-237.16$

$\\ \sf\longmapsto x^2=147$

$\\ \sf\longmapsto x=\sqrt{147}$

$\\ \sf\longmapsto x=12.1$

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2 years ago

Suppose the weekly revenue for a company is given byr: 202400p wherep is the price of their product. What is the price of their

Rudiy27

Answer:

(a) The price for a revenue of $18,750 is $239.2.

(b) They sold 710 colonial houses and 2130 ranch houses

Step-by-step explanation:

(a) If the weekly revenue is defined as

$r=2p^2+400p$

then the price must be calculated as:

$r=2p^2+400p=18750\\\\2p^2+400p-18750=0$

The roots of this function are

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-400 \pm \sqrt{400^2-4*2*(-18750)}}{2*2}\\ \\x=\frac{-400 \pm 556.78}{4}\\ \\x_1=-39.2\\x_2=239.2$

The first root is negative, so it is not a real solution. So the second root is the answer.

The price for a revenue of $18,750 is $239.2.

(b) Last year they sold three times as many ranch models (Hr) as they did colonial models (Hc):

$H_r=3*H_c$

The total amount of houses sold (colonial + ranch) is 2840

$H_c+H_r=2840\\H_c+3*H_c=2840\\4*H_c=2840\\H_c=2840/4=710\\\\H_r = 3*H_c=3*710=2130$

3 0

2 years ago