Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
Anyone able to help?!
[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]
F(x) = x - 3√×
graph this function
The students in art clas are designing a stained glass window to hang in the school entryway. The window wil
be 3 feet tall and 4 feet wide.
They have raised $100 for the project. The colored glass costs $5 per square foot and the dear glass costs $2
per square foot. The material they need to join the pieces of glass together costs to cents per foot and the
frame around the window costs $4 per foot
Do they have enough money to cover the cost of making the window.
Answer:
They don't have enough money
Step-by-step explanation:
Colored Glass =
$5/ 1 square = 60 / 12 square
Clear Glass =
2/1 = 24 / 12
Materials =
1/ 1= 1.2 / 12
Frame=
$4 / 1 ft = 28 / 12
TOTALS
60+24+1.2+28 = 113.2
Whalen recorded the amount of money people spent for gasoline to the nearest dollar. Which type of graph would be the most appropriate to illustrate Whalen’s information?
Answer:
c :)
Step-by-step explanation:
i guessed and got it right <3
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16-gallon full tank of gas?
Answer:
16 road trips
Step-by-step explanation:
Each day of Spirit Week at Alek's school, students have the option of dressing up according to a different theme. On Tuesday of Spirit Week, Alek recorded the number of students at his school by class and style of dress. Here is his data:
Answer:
D
Step-by-step explanation:
or
This is the conditional distribution of style of dress for freshmen.
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 2x2 – 6x + 10 = 0 by completing the square.
Question 10 options:
A)
x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i
B)
x = 3 + i, x = 3 – i
C)
x = 3∕2 + i , x = 3∕2 – i
D)
x = 3 + i, x = 3 – i
Answer:
Ok I don't know waht you mean but the answer is
Step-by-step explanation:
Answer:
x=3/2±(√11)2
x=1.5+1.65831i
x=1.5−1.65831i
Find the Solution for
2x^22−6x+10=0
using the Quadratic Formula where
a = 2, b = -6, and c = 10
x=(−b±√(b^2−4ac))/2a
x=(−(−6)±√((−6)2−4(2)(10)))2(2)
x=(6±√(36−80))/4
x=(6±√−44)/4
The discriminant b^2−4ac<0
so, there are two complex roots.
Simplify the Radical:
x=(6±2√11 i)/4
x=6/4±(2√11 i)4
Simplify fractions and/or signs:
x=3/2±(√11)2
which becomes
x=1.5+1.65831i
x=1.5−1.65831i
The length of a rectangle is 6 in less than 3 times the width. If the perimeter is 36 in, what is the width of the rectangle?
Answer:
width = 6
Step-by-step explanation:
We can think of the width as x and the height as 3x-6. the perimeter formula is (width + height)*2, since we have x as width and 3x-6 as height, we can put it in the formula, which will get you (x + 3x-6)*2 = 36, if we devide both sides by 2, we'll get (x + 3x - 6) = 18, when we simplify it, we will get 4x-6 = 18, which can then be simplified into 4x = 24, which will get you that x = 6
Hope it helped :)
Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side
Answer:
4th side is 8a-2
Step-by-step explanation:
P = 39a-7 - ((17a-6) + (9a) + (5a+1))
P = 39a-7 - (31a-5)
P = 8a-2
The city commission would like to install new flagpoles that are each 15 yards tall. If there are 3 feet in 1
yard, how tall are the flagpoles in the model?
Find the value of x.
parallel lines rules says that adjesent angles are equal. which will give me 69
help pls anyone? pls
Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation
Answer:
D- A POSITIVE CORRELATION
Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)
The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).
Which numbers hold true for the situation?The system of equations which model the situation is;
x²- y² = 15
2x² - y² = 30.
Hence, by subtracting equation 1 from 2; we have;
x² = 15
x = ±√15.
and hence by substitution; the value of y is;
(√15)² + y = 15
y = 0.
Hence, the required values of the numbers are;
(-√15, 0) and (+√15, 0).
Read more on system of equations;
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April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?
Answer:
2%
Step-by-step explanation:
Answer:
I don’t know
Step-by-step explanation:
Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?
Answer:
1.400$
Step-by-step explanation:
what is a teachers most favorite tree
Secondary succession occurs following triggers such as logging, mining, wildfires, or
drought. The presence of soil nutrients allows for a faster recovery.
Hardwood trees
Pine trees
Perennials
and
grasses
Shrubs
Answer:7777
Step-by-step explanation:
Does anyone know this?
Answer:
i think c or b I D K
Step-by-step explanation:
which number is not a member of the solution set of the inequality 4x ≥ 18
A. 4.4
B. 4.5
C. 4.6
D. 4.7
Answer:
4.4
Step-by-step explanation:
4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.
Answer:
Step-by-step explanation:
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
14 blue cars out of 70 cars
Answer:
66 cars
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
14-70=56
Step-by-step explanation:
its subtraction so you just need 70 and take away 14.
reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.
87 is 12.5% of what number?
Answer:
696
Step-by-step explanation:
Find the value of x. Show all work.
(7x + 6)°
(6x - 7)º
Answer:
42x-42
Step-by-step explanation:
(7x)(6x)+(6)(-7)=42x°-42°
.Evaluate the radical expression 256−−−√4. Enter your answer as a whole number, like this: 42
Answer:
254
Step-by-step explanation:
First get the square root of 4 and that is 2. Then minus it in 256 and you will get 254.
Hope it can help you lovelots
The solution to the radical expression 256-√4 will be 254.
What is a radical expression?An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given radical expression will be solved as below:-
256-√4 = 256 - 2
= 254
Therefore, the solution to the radical expression 256-√4 will be 254.
To know more about radical expression follow
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The women's rights movement gained momentum in the 1960s as leaders like Betty Friedan and Gloria Steinem began sharing
their beliefs and concerns regarding discrimination against women. The Equal Rights Amendment called for an end to
discrimination based on gender. Which statement is true regarding the ERA?
Help with this one please
[tex]\huge \bf༆ Answer ༄[/tex]
The Translation can be expressed as : -
A Translation -
up 3 units and left 4 units[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Original price of a comics book $2.95 Discount 10% Tax 5%
Answer:
The price of the comic book would be $2.79 after the discount and the tax.
We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.
Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu