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3 years ago

6

Use the domain {-1, 0, 1, 2, 3} and plot the points on the graph that would best satisfy the equation. The bold grid marks repre

sent one unit, the horizontal red line represents the x-axis while the vertical red line represents the y-axis. y = 2^x

1 answer:

zubka84 [21]3 years ago

6 0

Gttftvtvtvtvvtvtvfcfcfcfcfcfcfcfcfcfcfcfcfcfcfcfcfcfcfc

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Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers

Which set of ordered pairs represents a function?

Papessa [141]

Answer:

{(3,6),(2,1),(-8,4),(2,0)}

Step-by-step explanation:

when determining if a set of points is a function

determine if any of the x values or y values repeat. if they do then it is not a function because it will not pass the function like test. (which is where you can draw a line trough the function and it will hit more than once.

none if the x values repeat and none if the y values do either.

x values : 3,2,-8,2

y values: 6,1,4,0

8 0

2 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

$4s^2 + 2s^2 = 6s^2$

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

$6s^2 + 10sh = 450$

$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

4 0

3 years ago

a satelite moves at the speed of 27,000 kilometers per hour what 4 number could be the actually speed of the satelite

Anvisha [2.4K]

If the satellite moves at a speed of 27,000 km p/h, your answer depends on the question.

This could be written in an algebraic expression, such as:

27,000x = S [for S stands for the ultimate speed of the satellite]

Of course, if this is a 3rd grade level question, I highly doubt they have even gotten started to including the alphabet into math.

So, I would suggest plugging 4 into X.
To explain this to her, just say that the speed needs to be multiplied by the amount of hours it has traveled. (I got 4 because there is a '4' in the question instead of 'for').

Meaning,
27,000 x 4 = 108,000 km per 4 hours

If her teacher decides to ask why that number, have her explain the question did not make sense so she plugged in a 4 to find an answer to a certain amount of hours.

Hope that helps a bit with the confusion!

7 0

3 years ago

A triangle is formed by the ordered pairs X(–5, 6), Y(7, 6), and Z(7, 2). If mX=18°, what is mZ?

Mamont248 [21]

Answer:

mZ is 72°

Step-by-step explanation:

The three points form a right triangle with a 90° angle at Y. Since a triangle has 180°, first subtract 180-90=90°. Next, subtract 90-18=72 because mX=18°. Therefore, mZ is 72°.

8 0

3 years ago