Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years
A. A=16,100 (1.001)^7t; $17,469
B. A=16,100 (1.1)^12t; $6,766,377,209
C. A=16,100(1.001)^12t; $17,510
D. A=16,000(0.001)^12t; $24,150
Answer:
The answer to this question is:
A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]
The balance after 7 years will be $17409.
How to calculate the compound interest if it is compounded monthly?Let, P = the principle amount
r = the rate of interest, compounded monthly
t = the time period
Therefore, the amount will be
[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]
Given, the invested amount is $16000.
The rate of interest is 1.2%, compounded monthly.
Total duration of investment is 7 years.
Therefore, the model function of this compound interest is:
= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]
The amount will be
[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]
Therefore, after 7 years, the amount will be $17409.
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The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
How would you decide whether or 5 or 595 is greater?
Answer:
Well, the number 595 is exceptionally larger. You would be able to tell by simply subtracting 595 and 5 and you would get 590 leaving you with answer. 595 is greater
Step-by-step explanation:
Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?
Answer:
$45
Step-by-step explanation:
15×2=30
23×2=46
20×2=40
32×2=64
30+46+40+64=180
180÷4=45
Average=45
Answer:
Their average daily income would be 45 dollars a day.
Step-by-step explanation:
To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.
Answer:
45$
50 POINTS!!!
A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?
1,367
2,400
2,538
3,108
PUT SOLUTION AND STEPS PLS
To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.
Answer:
third one 2538
Step-by-step explanation:
it is the closest because 25% of 10,000 is 2500, the closest number to 2500 is 2538
Find the circumference of the circle. Round to the nearest hundredth.
Find the least common denominator between the two fractions. 1/4 and 5/3
Answer:
i think that the correct answer is 12 for the least common denominator
11. Find the sum
2 1/2 + 1 3/4=
Answer:
It should be 4.25.
These four numbers are plotted on a number line:
-23,58,-35,-12
Which is the correct ordering on the number line, from left to right? A . -12,-35,-23,58 B. -12,-35,58,-23 C. -23,-35,-12,58 D. -35,-23,-12,58
Answer:
D
Step-by-step explanation:
32 is 4 more than twice a number. What is the number?
help me with this simple science question plzz :))
Answer:
A) state (liquid to solid)
C) temperature (extremely hot to cool)
Answer:
A and C
Step-by-step explanation:
the state changes cause it starts as that then turns into a hammer, and the temperature changes cause the hammer becomes cooler.
Which function is decreasing on the same interval as the function graphed here?
The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.
What does it mean for a function to be decreasing?
When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.
That is when x1 < x2 then f(x1) ≥ f(x2)
What is the Proof of the above?Let F(x) = 4
Thus
f(4) = -(4)² + 4(4) -4
= 16 + 16 - 4
= 28
Now, let F(x) = 2
Thus
f(2) = -(2)² + 4(2) -4
= 4 + 8 - 4
= 8
Note that X1 = 4 and X2 = 2
Thus x1 < x2 then f(x1) ≥ f(x2).
Hence Option C is the decreasing function.
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Which expression represents the second partial sum for...
2(0.4) + 2(0.4)
2(0.4)2 + 2(0.4) 3
2 + 2(0.4)
0 + 2(0.4)
Answer:
C. 2+2(0.4)
Step-by-step explanation:
on edg.
1. What is the solution to the system?
[1] x + y + z = 2
[2] 2x + y - Z=-1
[3] X= 5-2z
A. (2, -1, -2)
B. (2, 1, -1)
C. (2,-1,5)
D. (1, -1,2)
Answer:
D.(1, -1, 2) hope this helps
We need 14 feet of casing to put along all four sides of a rectangular window. If the length of the window is 4 feet , find the width .
A commission is a fee paid to a salesperson based
on a percent of sales. Suppose a salesperson at a
jewelry store earns a 6% commission. What
commission would be earned for selling a ring
that cost $1300 dollars?
Answer:78
Step-by-step explanation:
1300x0.06=78
The commission by the salesman on the jewelry is $78.
What is commission?A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.
Given that, a salesperson at a jewelry store earns a 6% commission. The worth of the jewelry is $1300
The commission on the jewelry =
6% of $1300
= 1300 × 6 / 100
= 13 × 6
= 78
Hence, he earned $78 as commission.
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Use 1% or 10% method to estimate. Show all work. 38% of 15
Use 1% or 10% method to estimate. Show all work. 4% of 220
Use 1% or 10% method to estimate. Show all work. 29% of 75
would like it soon, its homework due in a bit.
Answer:
DIVIDE THE TWO ANWSER
Step-by-step explanation:
19. A cone has a diameter of 36 meters and a slant height of 24 meters. What is the height of the cone to the nearest tenth?
24 m
36 m
9514 1404 393
Answer:
15.9 m
Step-by-step explanation:
The radius (18 m) and the slant height form one leg and the hypotenuse of the right triangle that has the cone height as the other leg. The Pythagorean theorem tells you the height (h) is ...
18² + h² = 24²
h = √(576 -324) = √252
h ≈ 15.9 . . . . . meters
The height of the cone is about 15.9 meters.
You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%
help me......................
Answer:
a
Step-by-step explanation:
What is the least common multiple of 5 and 8?
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
HELP ASAP!!! I’m very confused and I need help. Thank you!!!!
Answer:
Triangle 2: 7, 24 and 25.
Step-by-step explanation:
To find the triangle with its dimensions being that of a right angle triangle;
We would have to apply Pythagorean' theorem.
Let the length of sides of the triangle be;
Opposite side = a
Adjacent side = b
Hypotenuse side = c
From Pythagorean theorem;
c² = a² + b²
When a = 7, b = 24 and c = 25
25² = 7² + 24²
625 = 49 + 576
625 = 625
This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.
What is the complete factorization of the trinomial x^2-8x+16?
A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)
Answer:
A. (x-4)(x-4)
Step-by-step explanation:
Note that (x+a)(x+b)=x²+(a+b)x+ab.
Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.
Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).
We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.
So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).
Tommy brought three cups of blueberries are in 1 and 1/2 of a cup of blueberries each day how many days can Tommy eat blueberries before they're all gone
Answer:
6
Step-by-step explanation:
An online music store sells songs on its website. each song is the same price. The cost to purchase 8 songs is $10.
A. Create an equation to represent the relationship between the total cost, c, and the number of songs, s, purchased.
B. At this rate, how many songs can be purchased for $25
Answer 8 divide by 10 =0.8
0.8x 25=20
Step-by-step explanation: i hope this helps
The equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and $25 can purchase 20 songs.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the price of each song.
The cost to purchase 8 songs is given as $10, so we can write the equation:
8x = 10
To find the equation for the relationship between the total cost, c, and the number of songs, s, purchased, we can solve for x:
8x = 10
x = 10/8
x = 1.25
So the price of each song is $1.25, and the equation for the total cost, c, in terms of the number of songs, s, purchased is:
c = 1.25s
To find how many songs can be purchased for $25, we can use the equation:
c = 1.25s
Substitute c = $25, and solve for s:
25 = 1.25s
s = 25/1.25
s = 20
Therefore, at this rate, $25 can purchase 20 songs.
Hence, the equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and $25 can purchase 20 songs.
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The function f(x) = 600(0.981)x, where x is the time in years, models a declining lemming population How many
lemmings will there be in 3 years?
A.about 566
B.about 1,803
C.about 1,766
D.about 601
Answer:
The answer for this question is:
About 566 lemings
Step-by-step explanation:
Answer:
A.about 566
Step-by-step explanation:
• Simon's secret coffee recipe uses 4 sugar
cubes for every 12 cups of coffee he
makes. Last week he made 192 cups of
coffee. How many sugar cubes did he use
last week?
suppose f(x)=x^2 g(x)=4x^2. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4
b. the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4
c. the graph of g(x) is the graph of f(x) shifted 4 unites left
d. the graph of g(x) is the graph of f(x) vertically compressed by a factor of 4
Answer:
a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4
Step-by-step explanation:
See attached image.
POSSIBLE POINTS
aut bowling and took up sailing. His sail for his sailboat is a 45-45-90 Right Triangle. The base of the sail is 6 ft. long. How long is the hypotenu
It wouldn't let me post, so I screenshotted: