(lengthy question, pls help will def give brainliest asap)
Cecilia decided to start a savings plan. On January 1, she opened a bank account and made a depositZ she then made monthly deposits without ever taking money out of the account. At the end of each month, she recorded the total amount in her savings account the table below shows her data for the first five months of the year.
What is the initial value, in dollars, for the function that represents Cecilia’s total savings? Explain your answer.
650$ was the amount of money that was taken away
Step-by-step explanation:
Given that z = 10 cis 30° and w = 5 cis 10°, find z/w. Leave your answer in polar form
Giving almost 100 pts!!
Answer:
2cis(20°)
Step-by-step explanation:
we are given that
[tex] \displaystyle \rm z = 10cis ({30}^{ \circ} )[/tex]
[tex] \displaystyle \rm w = 5cis ({10}^{ \circ} )[/tex]
We want to find z/w . To do so, divide 10cis(30°) by w = 5cis(10°) which yields:
[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )}[/tex]
recall that,
[tex] \displaystyle \rm \frac{ r_{1} cis ({ { \theta}_{1}} )}{ r_{2}cis( { \theta}_{2})} = \frac{ r_{1} }{ r_{2} } cis({ \theta}_{1} - { \theta}_{2})[/tex]
consider,
[tex]{ r}_{1} \implies 10[/tex][tex]{ r}_{2} \implies 5[/tex][tex]{ \theta}_{1} \implies {30}^{ \circ} [/tex][tex]{ \theta}_{2} \implies {10}^{ \circ} [/tex]Therefore, utilizing the formula yields:
[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )} \\ \implies \rm\frac{ z}{w} = \dfrac{10}{5} cis( {30}^{ \circ} - {10}^{ \circ} ) \\ \implies \rm \dfrac{z}{w} = \boxed{ \rm2cis( {20}^{ \circ} )}[/tex]
and we're done!
NB: cis(x) is also known as cos(x)+i×sin(x)
Solve the following system of equations and show all work.
y = x^2 + 3
y = x + 5
please help me! i know that i have to do substitution or something like that but i got really confused halfway through it and i also need to show all of the work!
If AB is perpendicular to radius CP at P, then is tangent to C.
Given: QRn
Prove: n is tangent to Q at R.
A. Scalene
B.Right
C.Equilateral
Answer: Right triangle
Step-by-step explanation:
QR is perpendicular to line n, so the indicated angle is a right angle. Thus, QRS is a right triangle because a triangle with a right angle is a right triangle.
Eddie O'Neil found a sports car advertised at a local used-car dealership for
$34,000. The car is clean and in good condition. Its average retail value is
$33,400. It has air-conditioning valued at $840 and leather seats valued at $200,
but it does not include a CD player, which is valued at $100. The used-vehicle
guide indicates that $1,690 should be deducted for excessive mileage on the car.
O'Neil plans to visit the dealership this evening. What is the average retail price
for this vehicle?
Answer:
Eddie O'Neil found a car advertised at a local used-car dealership for $34,000. The car is clean and in good condition. Its average retail value is $33,400.
Step-by-step explanation:
please help me find the slope!!
Answer:
-2/3
Step-by-step explanation:
To find the slope, you can pick two points on the graph and plug them into the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{0-2}{6-3}[/tex]
[tex]\frac{-2}{3}[/tex] is the same as [tex]-\frac{2}{3}[/tex]
hope this helps!
Please Help
A triangle has a base of 13 inches and an area of 82.5 inches. What is the height of the triangle?
Answer:
Height - 12.692 in
Step-by-step explanation:
Answer:
A = 1/2 bh
Step-by-step explanation:
Replace are and base to get:
82.5 = 1/2 x 15 x height
Multiply both sides by 2:
165 = 15 x height
Divide both sides by 15:
Height = 165 / 15
Height = 11 inches.
Describe a real-life situation that you can represent with an inequality.
Answer:
Think about the following situations: speed limits on the highway, minimum payments on credit card bills, number of text messages you can send each month from your cell phone, and the amount of time it will take to get from home to school. All of these can be represented as mathematical inequalities.
Step-by-step explanation: Got this online hope it helps
Select each number that is between 535% and 6.01 x 10⁰.
10 poin
Answer:
5.9, 47/8, and [tex]\sqrt{35}[/tex]
Step-by-step explanation:
I did this before, Please Mark brainliest
If the answer is correct I will give brainliest
Answer:
1,044cm
Step-by-step explanation:
46-21=25cm (the length of the top line)
30-14=16cm (the length of the other line on the left of the 21)
Split it into three rectangles, 25×16, 21×14 and 25×14
25×16 = 400cm
21×14 = 294cm
25×14 = 350cm
Add to together: 400+350+294= 1044cm
the other commenter is right
find the slope of the line that passes through the points (-6, - 18) and (-7, -17)
Answer:
-1
Step-by-step explanation:
The slope is the change in the Y value divided by the change in the X value. Therefore, the slope of this line is:
(-17-[-18])/(-7-[-6) = (-17+18)/(-7+6) = (1)/(-1) = -1
i need help with question 16 and 17
Answer:
16 is definitely a
17 is c
Step-by-step explanation:
an app that I use that helps a lot is desmos u should try it out
hope this helps :)
can i get brainliest?
What is the slope of the compass needle (the bottom red line)?
Answer:
176/317
Step-by-step explanation:
The formula for slope is [tex]\frac{y2 - y1}{x2 - x1}[/tex], which means you have to subtract the second point's y coordinate (286) minus the first point's y coordinate (110).
Now you have [tex]\frac{286-110}{x2 - x1}[/tex] or [tex]\frac{176}{x2 - x1}[/tex].
Now you have to do the same for x.
446 - 129 = 317, which gives you the final answer of
[tex]\frac{176}{317}[/tex], or about 0.555.
Hope this helps :)
jp524
I need help asap please
Answer:
B = 21.4°
Step-by-step explanation:
Using the Law of Sines.
[tex]sin(42)/22=sin(B)/12[/tex]
Cross Multiply
[tex]12*sin(42)=22sin(B)[/tex]
Get Sin(B) by itself.
sin(B)= 12*sin(42°) / 22
B° = sin^-1((12*sin(42°))/22)
B = 21.4°
x/(x ^ 2 + 2xy + y ^ 2) + y/(x ^ 2 - y ^ 2)
Answer:
x2 + y2
_____________
(x + y)2 • (x - y)
Expand and simplify:
a) -1/3{6(p+q)-3[p-2(p-3q)]}
A=-3p+4q
b) y-2/3(9x-3y)
A=-6x+3y
(The answer is written at the back of our books but I am struggling with the working I mean how to achieve the answer?)
Answer:
a) -3p +4q
b) -6x +3y
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Use the properties of arithmetic to combine the numbers.
__
a)The order of operations tells you to start with the inner parentheses and work outward.
[tex]-\dfrac{1}{3}(6(p+q)-3(p-2(p-3q)))=-\dfrac{1}{3}(6(p+q)-3(p+(-2)(p) +(-2)(-3q)))\\\\=-\dfrac{1}{3}(6(p+q)-3(p-2p+6q))=-\dfrac{1}{3}(6(p+q)-3(-p+6q))\\\\=-\dfrac{1}{3}((6)(p)+(6)(q)+(-3)(-p)+(-3)(6q))=-\dfrac{1}{3}(6p+6q+3p-18q)\\\\=-\dfrac{1}{3}(9p -12q)=(-\dfrac{9p}{3})+(-\dfrac{-12q}{3})=\boxed{-3p+4q}[/tex]
__
b)Same deal for the second expression: use the distributive property and combine like terms.
[tex]y-\dfrac{2}{3}(9x-3y)=y+(-\dfrac{2\cdot9x}{3})+(-\dfrac{2(-3y)}{3})\\\\=y-6x+2y=\boxed{-6x+3y}[/tex]
I NEED THIS ASAP PLEASEEach unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the museum? A. 7 blocks B. 9 blocks C. 10 blocks D. 13 blocks
What is the minimum value for the function shown in the graph?
Enter your answer in the box.
Check the picture below.
I need 2, 4, 7, and 3's angles pls!
Answer:
2: 125
4: 55
7: 125
3: 125
Step-by-step explanation:
Since the top and bottom lines are parallel, 2 is equal to 6.
since angles 4+2 sums up to a straight line, its 180 degrees
125+55 is 180
same with 3, 3+4 is 180
7 is same as 3
help me3 i dont really understand it I try so many times but I didn't get it right
Please HELP! I will mark BRAINLIEST. YOU ALSO GET 20 POINTS FOR HELPING ME! THANK YOU!
y=x-50
[tex]\huge\mathfrak\colorbox{white}{}[/tex][tex]\huge\mathfrak\colorbox{white}{}[/tex]
Graph the line to complete the chart
Answer:
Slope : 1, Intercept- 3, equation: y = 1x + 3
Step-by-step explanation:
slope is the change of rate and it can be observed that the rate of change from each square is 1
y intercept is the spot where the line intersects with the y axis
equation format: y = mx + b where mx is slope and b is the y intercept
The population of a small village has fallen by 6% to 658. What was the population of the village before the decrease?
Answer: answer below
Step-by-step explanation:
A WOMAN BOUGHT A RING FOR $200.00 MANY YEARS. LATER, SHE SOLD IT FOR $375.00. WHAT IS THE PERCENT INCREASE IN VALUE OF THE RING?
Answer:87.5%
Step-by-step explanation:
(Final value - starting)/staring *100
The ratio of the number of oranges in a fruit salad to people served is 9/40. If Lisa wants to serve 800 people, how many oranges will Lisa use?
180
Step-by-step explanation:
9:40
?:800
9×20=180
40×20=800
it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)
Answer:
180/800
Step-by-step explanation:
if you multiply the numbers by 20 you can get your answer
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Answer:
V = 2143.573333333333.... in³
Step-by-step explanation:
Formula for volume -> V = 4/3 πr³
We know the circumverence now we need to et the radius.
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
16pi/pi = 16/2 = 8
V=4/3πr³
V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...
What is the area of the square shown below?
A. 16 ft2
B. 32ft
C. 32ft2
D. 64ft2
Answer:
64 feet squared
Step-by-step explanation:
Since it's a square, all sides have a length of 8 ft. Area is length x width, so simply multiply 8 by itself. 64 feet squared is therefore the answer.
The box-and-whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday.
Consider the diagram below. where h represents height and l represents length. Which of the following represents the approximate area of both figures?
Answer:
Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.
Step-by-step explanation:
Answer:
option a
Step-by-step explanation:
because of his province duh
Sam ran 2 5/4 miles last weekend. This weekend he ran 3 5/1 miles. How many miles did he run in all?
Answer:
11 1/4
Step-by-step explanation:
2 5/4 = 3 1/4
3 5/1 = 8
8 + 3 1/4 = 11 1/4