You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three years?
Answer:I hope the following example will help you
Step-by-step explanation:
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Evaluate each expression (25 -3/5) 1/3
Answer:
1/5
Step-by-step explanation:
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Which of the following is the correct factorization of the polynomial below?
x^3 + 12x² + 36x
A. x(x+6)(x-6)
B. (x2 + 6x-3)(x-6)
C. x(x+6)2
D. (x2 + 6x-3)(x-12)
Answer:
C
Step-by-step explanation:
[tex] {x}^{3} + 12 {x}^{2} + 36x \\ = x( {x}^{2} + 12x + 36) \\ = x( {x + 6)}^{2} [/tex]
If jackeline and Raychel decide to watch only the two longest movies and take a 30 minute break in between how much of their five hours while they have left over
Carl paid $40 for 12.5 gallons of gas.After calculating,he said that the cost per gallon was about 31 cents per gallon.Is there anything wrong with Carl's thinking?.
Answer:
Well yes, because it should have cost $3.2 PER gallon
Step-by-step explanation:
Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.
Which of these expressions below is less than 345? Select all that apply.
A) 342.35 + 4.19
B) 256.79 + 98.11
C) 356.09 -10.45
D) 419.56 - 75.68
E) 199.75 +143.712
Answer:
D and E
Step-by-step explanation: Math
Answer:
d and e
Step-by-step explanation:
419.56-75.68=343.88
199.75+143.712=343.462
[tex]2x - 5 \leqslant 6[/tex]
Answer:
Step-by-step explanation:
2x - 5 ≤ 6
Add 5 to both sides
2x -5 +5 ≤ 6 +5
2x ≤ 11
Divide both sides by 2
2x/2 ≤ 11/2
x ≤ 5.5
4) Divide x^4 – 14x^2 + 45 by (x - 3)
Answer:
Ok 9-8=1 times 2 = 2
Step-by-step explanation:
Answer:
x^3−5x+3x^2−15
Step-by-step explanation:
Common math
Can someone help me please?
Answer: 4 7/6
Step-by-step explanation:
Simplify 12x . 3X
A.15x
B.15x^2
C.36x
D.36x^2
Answer:
36x
Step-by-step explanation:
To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x
hope this helped :)
Give an example of a function g(x) such that has vertical asymptotes at x = −1 and x = 2.
Answer:
[tex]\frac{69420}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.
Find the distance between the two point (0,-2) and (8,4)
Answer:
Distance is 10
Step-by-step explanation:
The x distance is 8 - 0 = 8
The y distance is 4 - (-2) = 6
Full distance is [tex]\sqrt{6^2+8^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
Answer:
The distance between the points is 10.
R9.80 ?
½
What is 1
[tex] \frac{1}{2} \div 9.80 = [/tex]
Eric bought a new car for $24,000. Each year, the car depreciates 15% in value. To the nearest dollar, how much will the car be worth in 6 years?
Hint: Create an exponential equation in the formy = a (1 – r) and then evaluate the equation at t= 6 years.
6
Type your answer...
7
Previous
Answer:
$9052
Step-by-step explanation:
a= starting car price
(1-r)= exponential decay
r= rate
t= # of years
Equation:
a(1-r)^t
Plug in the numbers.
a= 24000 r=15%=0.15 (1-r)= 1-0.15 = 0.85
a(1-r)^t = 24000(0.85)^6
= 24000(0.37714951562)
= 9051.588375
= 9052
Are these fractions equivalent or nonequivalent? 2/3 8/12
Answer:
The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent
Step-by-step explanation:
Which line plot shows the data?
Answer:
it is B
Bbbbbbbb
The line plot shown C in the figure is correct.
What is line plot?A line plot is a way to display data along a number line. Line plots are also called dot plots. Below is an example of a line plot showing the distance 17 turtles traveled in an hour (we know it is 17 turtles because there are 17 dots on the line plot).
here, we have,
Given that the recorded lengths of ribbon pieces which is used in project is given..
Frequency refers to the number of times an event or value occurs. A frequency table is a table that lists items and shows how many times those items occurred.
A line plot displays the data using a no. line.
Firstly, we will fimd the frequency of each value
Values Frequency
9 (7/8) 1
10(4/8)=10(1/2) 1
10(5/8) 1
10(6/8)=10(3/4) 1
10(7/8) 1
11(2/8)=11(1/4) 3
Option A is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)
Option B is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)
Option C is correct because the frequency distribution of the data is represented correctly in the line plot.
Option D is incorrect because 11(2/8) has 2 data values in the line plot (i.e., frequency = 2)
Hence, the line plot which correct shows the data is third line plot.
Learn more about line plot from here
brainly.com/question/8989301
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Please help me with this ASAP Don’t ANSWER With links please ****
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
On a recent survey, 70% of those surveyed, said that they preferred drinking Coke instead of Pepsi. If 420 people preferred Cole, how many people were surveyed in all?
Answer:
600
Step-by-step explanation:
.7x = 420
x = 420/0.7
x = 600
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have ahigh school degree as their highest educational level is a. Exactly 32
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that [tex]p = 0.304[/tex]
100 such adults
This means that [tex]n = 100[/tex]
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
which statement is true about the terms of the linear expression 13-4x in standard form?
A. m=4
B. B=13
C. b= -4
D. The expression is not linear
Answer:
B) b=13
Step-by-step explanation:
13-4x is the same as -4x+13
Write 5 +x= 3x2 in standard form.
An equation in standard form is
Answer:
Here's link to the answer:
...................
Step-by-step explanation:
the volume of the cuboid 320cm^3 and the height is 5 cm. If the cuboid has a square base, what if the length of one side of the base?
Answer:
Step-by-step explanation:
32 cm
Solve each equation 24 = 5k - 8k
Answer:
k = -8
Step-by-step explanation:
24 = 5k - 8k
24 = -3k
k = 24/(-3)
k = -8
Answer:
k = -8
Step-by-step explanation:
Solve for k
First we re arrange our equation so that it look simple to calculate.
24=5k-8k
5k-8k = 24
-3k = 24
Divide -3 both side to get the value of k
k = -8
To prove substitute k into formula:
5k-8k = 24
5 (-8) - 8 (-8) = 24
-40 + 64 = 24
24 = 24
kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?
Answer:
$3.25 per gallon
Step-by-step explanation:
Answer: he paid 3.25 for each gallon
Step-by-step explanation:
Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25
What is the range of the function on the graph?
Range is the output values which are the y values.
The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.
The range would be 2 to infinity.
(2, infinity)
Find the surface area
Last year, 210 new houses were built in a neighborhood. So far this year, 4/7 of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form
Answer:
120
Step-by-step explanation:
number of hours sold = fraction of houses sold this year x number of houses built last year
4/7 x 210 = 120 houses
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave an explanation)
Answer:
P(h, k) → P'(k, -h)
Step-by-step explanation:
Rule to be followed,
If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,
P(h, k) → P'(k, -h)
Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.
Help with this :))))))))))))
Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
Answer: 20???
Step-by-step explanation:
Most adults would erase all of their personal information online if they could. A software firm survey of 699 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answer:
j
Step-by-step explanation:
