Wyatt is going to invest $28,000 and leave it in an account for 5 years.
Assuming the interest is compounded quarterly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Wyatt to end
up with $31,000?

Answer:

The domain that makes sense for this function is all values greater than or equal to 0.

Step-by-step explanation:

A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:

[tex]h(t)=-16t^2+64t+4[/tex]

The domain of the function is time t. The range of the function is the ball's height in the air h.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

[tex][0, \infty)[/tex]

And as an inequality:

[tex]t\geq 0[/tex]

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

Answer:

A)  4/5

B)  2/25

C)  2/45

Step-by-step explanation:

A) P(not blue) = 8/10 or 4/5

B) P(red,blue) = 4/10 x 2/10 = 2/25

C) P(yellow,red) = 1/10 x 4/9 = 2/45

Answer:201.06

Step-by-step explanation:

Answer:

22 days = 3 weeks and 1 day

454 minutes = 7 hours and 34 minutes

4 years and 4 months = 148 months

12 pounds and 13 ounces = 205 ounces

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

Answer:

A

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

Answer:

Add the equations to eliminate x

Step-by-step explanation:

Answer:

D.(3, 3)

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + c;

where x, y are variables, m is the slope of the line, c is the y intercept.

From the graph, we can see that line 1 passes through (6,0) and (0,6).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]

Line 2 passes through (6, 5) and (0, 1)

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:

x = 3, y = 3

Therefore the two lines meet at (3, 3)

Current Balance: $150

Income rate: 15x

Equation: 15x+150

Answer:

Hello! answer: 21

Step-by-step explanation:

25 × 3 = 75

7 × 3 = 21 so n = 21 HOPE THAT HELPS!

Answer:

Answer: 21

Step-by-step explanation:

25 × 3 = 75

7 × 3 = 21 so = 21

Answer:

C) (-4,2)

Step-by-step explanation:

It would be in quadrant II, so (-4,2)

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

--------------------------------------------------

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

Answer:Its 0

Step-by-step explanation:

It just is ok

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

Answer

1. x²+2x-24

2. 2x²-1x-15

3. 6x²+19x+10

4. 2x²-11x+5

Answer:

[tex]x^{2} +2x-24[/tex]

[tex]2x^{2}-x-15[/tex]

[tex]6x^{2}+19x+10[/tex]

[tex]2x^{2}-11x+5[/tex]

Step-by-step explanation:

Answer:

we need 6 scoops of sugar

Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

Answer:

[tex]-15\geq x\geq 5[/tex]

Step-by-step explanation:

X is between -15 and 5, the closed dots tell us we must include both -15 and 5 in the equation

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12