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zavuch27 [327]
3 years ago
14

Consider the following set of equations:

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
No solution because both equations have 2x on the same side.
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Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the
Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

f(x) = 490 * 0.88^x

Leo

x \to g(x)

0 \to 480

2 \to 360

4 \to 470

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

f(x) = 490 * 0.88^x

f(0) = 490 * 0.88^0

f(0) = 490 * 1

f(0) = 490

From Leo's table

g(0) = 480

By comparison;

f(0) > g(0)

i.e.

490 > 480

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

y = ab^x

Where:

b \to rate

For Tonya

b = 0.88

For Leo, we have:

(x_1,y_1) = (0,480)

(x_2,y_2) = (2,360)

So, the equation becomes:

y = ab^x

480 = ab^0 and 360 = ab^2

Solving 480 = ab^0, we have:

480 = a * 1

480 = a

a= 480

360 = ab^2 becomes

360 = 480 * b^2

Divide both sides by 480

0.75 = b^2

Take square roots

0.87 = b

b=0.87 -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0
3 years ago
(Please give the step to step procedure) Due to short supply in the market a shopkeeper raises the price of a cycle by 5% above
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Answer:

4000

Step-by-step explanation:

let the marked price of the cycle be x

then x · (100% + 5% + 12%) = 4680

x = \frac{4680}{1.17} = 4000

6 0
4 years ago
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salantis [7]

Answer:

Step-by-step explanation:

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Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. Sh
Lana71 [14]

Answer: 9

Step-by-step explanation:

1+5+5-2

4 0
3 years ago
Which expressions are equivalent to -56z+28−56z+28minus, 56, z, plus, 28?
Lorico [155]

Answer: B

Step-by-step explanation:

8 0
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