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Anton [14]
3 years ago
10

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now, in about how many years w

ill it take to reach $20 per month? Use the equation 20 = 8(1.2)x to solve the problem. Round to the nearest year.
Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

6 years

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:

Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8

Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:

To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x

x = 6 years to the nearest year
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What is the area of the trapezoid with height 11 units?
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I hope this helps you



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Z varies directly as x2. If z = 16 when x = 2, find z when x = 5.<br> ...<br> Z=
PtichkaEL [24]

Answer:

100

Step-by-step explanation:

it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

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3 0
2 years ago
2. Write an equation of the line in<br> slope-intercept form.<br> (5, 3)<br> 2<br> f(0, -1)
Leona [35]

Answer:

We need to use

Step-by-step explanation:

We have to use the equation for passing through the points known as

y2-y1/x2-x1

-1-3/0-5= -4/-5

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decimal: 0.8

7 0
2 years ago
Write an equation of the line below
gregori [183]

Answer:

The equation of the line is:

y = 4x + 3

Step-by-step explanation:

We know that the slope-intercept of line equation is

y = mx+b

Where m is the slope and b is the y-intercept

Given the two points on a line

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Finding the slope between (0, 3) and (-2, -5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)

m=\frac{-5-3}{-2-0}

m=4

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

y = mx+b

y = 4x + 3

Therefore, the equation of the line is:

y = 4x + 3

8 0
2 years ago
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