Period
Readiness TEKS 9.C, 9.D
6. Omar takes out a college loan for $28,000 to cover his
expenses for tuition, books, room, and housing. According to the
terms of the loan, he won't have to make payments for six years,
but the loan will continue to compound interest annually at 11%.
The table below shows the amount of the loan he owes assuming
he make no payments during the six years.
Number of Years
1
2
3
4
5
6
Loan Amount Owed
$28,000.00
$31,080.00
$34,498.80
$38,293.67
$42,505.97
$47,181.63
$52,373.61
Which function represents the amount of the loan owed in relation
to the number of years, x?
A. f(x) = 28,000(1.11)*
B. f(x) = 28,000(0.11)
C. f(x) = 28,000(11)*
D. f(x) = 28,000 + 1.11%

Answer:

[tex]y^{14} -22y^7+121[/tex]

Step-by-step explanation:

This equation should help:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]

Answer:

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Step-by-step explanation:

[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]

First terms,

[tex]{y}^{14} [/tex]

Outer,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Inner,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Last,

[tex] - 11 \times - 11 = 121[/tex]

Add all terms up

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Answer:b c

Step-by-step explanation:

did it

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

• Length of the third side.

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

★ Perimeter of ∆ = Sum of all sides

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

Answer:

48(c)

Step-by-step explanation:

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

Answer:

volume of aquarium =l×b×h=5×1×8=40ft³

volume of aquarium in gallons=

40ft³×7.5gallons/ft³=300galloons

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You can create a proportion with the sides and solve for x:

[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]

[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]

[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]

[tex]-20x+50=90[/tex]

[tex]-20x=40[/tex]

[tex]x=-2[/tex]

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

Answer:

x ≥ 4

Step-by-step explanation:

The given inequality is :

4 + 6x ≤ x + 6x

Subtract 6x from both sides,

4 + 6x-6x ≤ x + 6x -6x

4≤ x

or

x ≥ 4

Hence, the correct option is (b) i.e. x ≥ 4.

Answer:

46.278cm

Step-by-step explanation:

(π+2)r

=πr+d

=9π+18=46.278cm

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

Answer:

its called a frcaction

Step-by-step explanation:

Answer:

442

Step-by-step explanation:

624-183= 442 he needs to drive 442 miles more

Answer:

Is there any more information to this so I can try and help

Answer:

x=21

Step-by-step explanation:

x=(16.8 * 2.5) /2=21

Answer:

There might be more to this problem that not included?

Based on the question written, J and Q would be anything that is mathematically supported.

I could a virtually endless combination, that's why I think we may be missing part of the question.

Here are some solutions:

J=11, Q = 6   11-5=6

J=12, Q= 7   12-5=7

J= 7, Q = 2   7-5=2

J = 162, Q = 157  162-5=157

Answer:

22

Step-by-step explanation:

2x-13=9

2x-13-9=0

2x-22=0

2x=22

x=11

Answer:

x+2/2(2x+1)

Step-by-step explanation:

Tamlin has x male action figures and x + 2 female action figures, so a total of x + x + 2, or 2x + 2 action figures. The probability of picking two female action figures without replacement is equal to the product of the probability of

-picking 1 female action figure from the total number and

-picking 1 female action figure after 1 has been removed.

The probability of picking 1 female action figure from the total is equal to the total number of female action figures divided by the total number of action figures.

The probability of picking 1 female action figure after 1 has been removed is equal to the total number of female action figures minus 1 divided by the total number of action figures minus 1.

Multiply these two expressions and simplify.

Answer:

The answer is x+2/2(2x+1)

Answer:

Length of DF = 3y + 9

Step-by-step explanation:

Given:

ΔABC is similar to ΔDEF

Line EF = 6y

Find:

Length of DF

Computation:

Given that  ΔABC is similar to ΔDEF

So,

Line BC similar to Line EF

Line BA similar to Line ED

Line AC similar to Line DF

Common factor = EF/BC

Common factor = 6y/2y

Common factor = 3

So,

Line AC similar to Line DF

So,

DF = 3[AC]

Length of DF = 3[y+3]

Length of DF = 3y + 9

Answer:

[tex] 15,260.4 \: {in}^{3} [/tex]

Step-by-step explanation:

Radius of candle = 3 inches

Height of candle = 2 inches

Wax needed to make one candle = Volume of one cylindrical candle

[tex] =\pi r^2 h[/tex]

[tex] =3.14(3)^2 (2)[/tex]

[tex] =56.52\: in^3 [/tex]

Volume of wax needed to make 270 candles

[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]

Answer:

430

Step-by-step explanation:

The "product" means multiply

215*2=430 or you can break it up:

215+215=430

Answer: 430

→Hope this helps!←

Answer:

A) 56.549

B) 9.425

Step-by-step explanation:

2(pi)r=56.54867

60/360x56.54867=9.425

The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

Liam and Michael are going to play video games this afternoon.

Then, Liam going to play video games = 38

Michael going to play video games = 2

In 38 video games and 2 video games are exactly what Liam and Michael need.

So,

We can write,

Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]

As only one case is possible,

That is, [tex]2C_{2}[/tex] = 1

Probability = 1/(38!/(38-2)!2!)

= 1/(38!/36!2!)

=( 2! * 36! )/38!

= (2! * 36! )/38!*37!*36!

= 2!/38!37!

= 1/19!37!

= 1/703

= 0.001422

Rounding to nearest million ( 5 decimal )

Required probability = 0.001422

Therefore,

The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

To learn more about information visit Probability :

brainly.com/question/28730701

#SPJ1

Answer:

84 people

Step-by-step explanation:

Answer: Don’t listen to the other comment it’s a scam. It’s 15 percent. Or 0.15

Step-by-step explanation:

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Answer:

4

Step-by-step explanation:

x² = 8x - 16

x² - 8x + 16 = 0

(x - 4)² = 0

x = 4

Answer:

She need 3 packs of balloons

Answer:

-5 63/100

Step-by-step explanation: