Lily deposited 1,000 in her savings account that earns her 3% compounded annually. She forgot about it until 15 years later when she came across an old bank statement

Answer:

z = 68, x = 9

Step-by-step explanation:

z must equal 68 since they're vertical angles.

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

180 - 68 = 112

12x + 4 = 112

---> x = 9

Answer:

z = 68 degrees

x = 9

Step-by-step explanation:

z = 68 degrees because of the vertex angle theorem

x is a little more complicated

First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.

68 + (12x + 4) = 180

-68 -68

12x + 4 = 112

-4 -4

12x = 108

/12 /12

x = 9

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000

Answer:

$34 and 77.8 miles

Step-by-step explanation:

The computation of the amount for traveling 25 miles is shown below:

Since it is given that the rental company charges $2.75 plus $1.25 for each mile

So for 25 miles, the cost you have to pay is

= $2.75 + 25 miles × $1.25

= $2.75 + $31.25

= $34

Now for traveling for $100, the miles should be traveled is

= ($100  - $2.75) ÷ 1.25

= 77.8 miles

Hence, the same is to be considered

Answer:

10 degrees celsius

Step-by-step explanation:

Answer: heres an example

Step-by-step explanation:Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

Answer:

y < x

Step-by-step explanation:

equation of line can be derived by finding slope and y-intercept

in this case the slope is 1 and the y-intercept is 0

equation is y = x

however, this is an inequality so answer is one of the following:

y > x  or  y < x

pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)

x = 1 and y = -1

which one is true?  -1 > 1  or  -1 < 1

-1 < 1 is the true one so inequality is y < x

Answer:

figure of speech, or figturtive  lanaguge

Step-by-step explanation:

Answer:

This is math my dude

Step-by-step explanation:

But those are all examples of Sound Devices.

Answer:

1) hypotenuse = 5

2) leg = 2.65

Step-by-step explanation:

1) x² = 3² + 4² = 9 + 16 = 25

x = √25 = 5

2) x² = 4² - 3² = 16 - 9 = 7

x = √7 = 2.65

Answer:

B. 28

Step-by-step explanation:  

Answer:

B. 28

Step-by-step explanation:

for every 4 boys there is 3 girls

so,

from 4 to 16 you multiply by 4,

4 x 4 = 16 (what you do to one you do to the other:

4 x 3 = 12

It's asking for the total amount

if there is 16 boys there is 12 girls with the ration of 16:12

add them up,

16 + 12 = 28 (That's your answer).

Answer:

Step-by-step explanation:

On the real x-y plane, y = |x| is represented by two separate straight lines:

 y = x for x >= 0, and

 y = -x for x < 0

The graph of the points that meet the condition can be seen below

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The rule is,

x → y = | x |

So, we will have points of the form (x, y = |x|).

So, if x is equal to 1, then y must be equal to 1, this would give (1, 1).

So all the points that meet the condition are of this form, like:

(1, 1) (- 1, 1) (2, 2), (- 2, 2) , (3,  3), (- 3, 3). etc

In other words, the points satisfy the line equation:

y = |x|

Thus, The graph of all the points that meet this can be seen below.

If you want to learn more about graphs, you can read:

brainly.com/question/14323743

#SPJ2

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

2(2+3y)-6y=6

it is not measurable.

Answer:

13 and 20

Step-by-step explanation:

13 x 20 = 260

13 + 13 + 20 + 20 = 66

Answer: (a)- [tex]0.99\ \text{units}[/tex]

Step-by-step explanation:

Given

Central angle is [tex]57^{\circ}[/tex]

The radius of the unit circle is [tex]1\ \text{unit}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r[/tex]

Put the values

[tex]\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}[/tex]

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]

[tex]\displaystyle H_{\text{max}}=f(t)[/tex]

notice that, our given function is not in standard form i.e

[tex] \displaystyle f(x) = a {x}^{2} + bx + c[/tex]

let's make it so

[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]

therefore we got

our a is -4.9 and b is 29.4

so substitute:

[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]

remove parentheses and change its sign:

[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]

simplify multiplication:

[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]

simplify division:

[tex] \displaystyle \: t = 3[/tex]

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]

simplify square:

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]

simplify mutilation:

[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]

simplify substraction:

[tex]\displaystyle H_{\text{max}}=44.1[/tex]

hence,

the maximum height of the baseball is 44.1 metres

Answer:

Solution given:

height

h=29.4t – 4.9t²

differentiating each term with respect to time (t)

[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]

[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t

again second derivative

[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8

for maximum, minimum

first derivative =0

29.4-9.8t=0

t=[tex] \frac{29.4}{9.8} [/tex]=3

So it attains maximum height at t=3

so

maximum height=29.4×3-4.9×3² =44.1meters

So.

maximum height of the basketball is 44.1meters

Answer:

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Step-by-step explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57

Answer:

12

Step-by-step explanation:

Answer:

11 songs

Step-by-step explanation:

11 songs would leave him with $10.30 left

Answer:

r = 8.28

Step-by-step explanation:

Circumference of a circle:

C = 2πr

52 = 2(3.14)r

52 = 6.28r

r = 52/6.28

r = 8.28

Answer:

I think D cause it has an exponent

Answer:

your answer is d because it is havinf power 2

Answer:

SAS, SSS

Step-by-step explanation:

You're A>A>S

Answer:

8x-34=74

Explanation-

Answer:

[tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:-

The equation used to find the equation of circle is :-

[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]

'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.

In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.

So, 'a' will be 5 and 'b' will be -8

So,

[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]

[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]

[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]

[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]

= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Answer:

4 is the answer

Step-by-step explanation:

it 4 because you go bye 8s

Answer:

Step-by-step explanation:

Answer:

$11343.13

Step-by-step explanation:

From the given information:

Principal = 3000

rate = 7% = 0.07

time = 19 years.

The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:

[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]