Jim is on his way home in his car. He has driven 20 miles so far which is 1/2 of the way home. What is the total length of his Drive​

Answer:

k = ±[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

121k² - 100 = 0

(11k + 10)(11k - 10) = 0

Answer:

A. the answer is supplementary

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

[tex]y=a(1+r)^t[/tex]

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get

[tex]y=44000(1+0.05)^{20}[/tex]

[tex]y=44000(1.05)^{20}[/tex]

[tex]y=116745.099026 [/tex]

[tex]y\approx 116745.10 [/tex]

Therefore, the cost of living in 20 years is about $116745.10.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.

Assume that:

[tex]r = 5\%[/tex] --- interest rate

[tex]PV =9000[/tex] --- Present value or invested amount

To calculate time (in years), we make use of the following formula of future value

[tex]FV = PV(1 + r)^n[/tex]

Where

[tex]FV = 11800[/tex]

So:

[tex]11800 = 9000( 1 + 5\%)^n[/tex]

Divide both sides by 9000

[tex]1.31 = ( 1 + 5\%)^n[/tex]

Take logarithm of both sides

[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]

Apply law of logarithm

[tex]Log(1.31) = nLog(1 + 5\%)[/tex]

Make n the subject

[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]

Express 5% as decimal

[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]

[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]

[tex]n = \frac{0.1173}{0.0212}[/tex]

[tex]n \approx 6[/tex]

The time to reach the future value is approximately 6 years.

Use the above explanation to answer your question

Answer:

A.less than 6 but more than 20

Answer:

4

Step-by-step explanation:

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

Answer:

A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.

Given:

The equation of a line is

[tex]y=-4x+10[/tex]

A perpendicular line on the given line passes through the point (4,-6).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=-4x+10[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-4[/tex]

So, the slope of the given line is -4.

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m\times m_1=-1[/tex]

[tex](-4)\times m_1=-1[/tex]

[tex]m_1=\dfrac{-1}{-4}[/tex]

[tex]m_1=\dfrac{1}{4}[/tex]

The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is

[tex]y-y_1=m_1(x-x_1)[/tex]

[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+6=\dfrac{1}{4}x-1[/tex]

[tex]y=\dfrac{1}{4}x-1-6[/tex]

[tex]y=\dfrac{1}{4}x-7[/tex]

Therefore, the correct option is B.

Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.

Step-by-step explanation:

As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.

With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.

Answer:

D

Step-by-step explanation:

Answer:

-0.25

Step-by-step explanation:

yessss

lets

play

rn!!!!!!

Answer:

x=31 y=44 z=105

Step-by-step explanation:

Using the angle relationships, we know that 31 is equal to x, y is equal to 44 and z is equal to 105

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

[tex]y = 2x + 2[/tex]

Answer:

24,05r,048

Step-by-step explanation:

i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048

Answer:

24,137,569 is 289 times bigger than 83,521

Step-by-step explanation:

24,137,569/83,521= 289

Answer: 34

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation: I took the test.

Answer:

the answer is 2.05×10^-4

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26

tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

             = sin(∠C)

             = 0.26

sin(∠A) = sin(90 - ∠A)

            = cos(∠A)

            = 0.97

tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]

            = 3.73

Angle        [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]                 [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]                    [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

  A                    0.26                       0.97                             3.73

Answer:

4519.5

Step-by-step explanation:

so sorry if that's not correct.

Answer:

multiply 36 by .20 and subtract that from 36

Step-by-step explanation:

20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.

Answer:

28.80 is 36 dollars 20 percent off.

Step-by-step explanation:

take the original price

divide the original price by 5

alternatively, divide the original price by 100 and multiply it by 20

subtract this new number from the original one

the number you calculated is the discounted value.

more simple steps:

1. subtract the final price from the original price

2. divide this number by the original price

3. multiply the result by 100

other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80

hope this helps!

Answer:

++hhhhhhhhhhhhhhhhhh

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Answer:

[tex]\frac{25y}{4x}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke

Answer:

pretty sure its 18

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Its $5 dollars for each hour so, the two hours together are $10. With the 3 hours Caden did, he earned $25.

Answer:  25

then Step-by-step explanation: if 10 divided by 2 is five, ( 5$ an hour) then just add three more fives i think

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5