Answer:
There will be $2288.98 in the account after 6 years
Step-by-step explanation:
We are given that $1750 is put into an account that pays an annual rate of 4.5% compounded quarterly.
So, Principal = $1750
Rate of interest = 4.5%
No. of compounds per year = 4
Time = 6 years
Formula :[tex]A =P(1+\frac{r}{n})^{nt}[/tex]
Where A = Amount
P = Principal
r = rate of interest
n = no. of compounds per year
t = time
Substitute the values in the formula :
[tex]A =1750(1+\frac{4.5}{400})^{4 \times 6}[/tex]
A=2288.98
Hence There will be $2288.98 in the account after 6 years
Cylinder r=3 H=16
cone d=6 H=9
Answer:
C = 144*pi cubic units (cylinder)
V = 27*pi cubic units (cone)
Step-by-step explanation:
Cylinder r=3 H=16
cone d=6 H=9
I know what you mean.
You want volume.
C = (pi)*r^2 * h
V = (1/3)*(pi) *r^2 * h for a cone
---------------------------
C = (pi) * (3)^2 * 16 = 144*pi cubic units (cylinder)
V = (1/3)*(pi)*(3^2) * 9 = 27*pi cubic units (cone)
What is the upper and lower quartile of this set of data 15,19,20,25,31,38,41
Answer:
18 and 38
Step-by-step explanation:
Data set is given:
15,19,20,25,31,38,41The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
Lower half of the data:
15, 19, 20Lower quartile:
mid term of 15, 19, 20 = 19Upper half of the data:
31, 38, 41Upper quartile:
mid term of 31, 38, 41 = 38Answer:
Upper: 38
Lower: 19
Step-by-step explanation:
~I hope this helps~
Solve the following equation by factoring. 9x^2 - 16 = 0
Step-by-step explanation:
9x2 - 16 = 0
Both are squares so
3x - 4 = 0
For a bookcase, Tim wants 6 shelves
each 28 1/2 inches long. What total length
of shelving does he need?
Answer:
171 inches
Step-by-step explanation:
6x28.5
The total length of shelving Tim needs for his bookcase is calculated by multiplying the number of shelves (6) by the length of each shelf (28 1/2 inches), which equals to 342 inches in total.
Explanation:When understanding the total length of shelving needed, you can use the basic principle of multiplication in mathematics. In this particular question: bookcase shelving length, Tim wants to build a bookcase with 6 shelves and each shelf is 28 1/2 inches long. You would calculate the total length by simply multiplying the number of shelves by the length of each shelf.
So, 6 shelves * 28 1/2 inches = 57 * 6 = 342 inches. Hence, the total length of shelving Tim needs for his bookcase is 342 inches.
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?/20 = 4/5
How do I make this equivalent
You have
[tex]\dfrac{x}{20}=\dfrac{4}{5}[/tex]
Multiply both sides by 20:
[tex]20\cdot\dfrac{x}{20}=\dfrac{4}{5}\cdot 20[/tex]
The equation becomes
[tex]x=16[/tex]
Hi
X/20 = 4/5 ⇒ X = 20*4 /5 = 5*4*4 /5 = 16/1 =16
16/20 = 4/5
This is a little big easy
Answer:
B.) b+79
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
This Question is not complete because it lacks the appropriate options
Complete question:
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
1. P(C | D) = 0.78
2. P(D | C) = 0.44
3. P(C ∩ D) = 0.11
4. P(C ∩ D) = P(D ∩ C)
5. P(C | D) = P(D | C)
Answer:
3. P(C ∩ D) = 0.11
4. P(C ∩ D) = P(D ∩ C)
Step-by-step explanation:
Clients that have Cats = P(C) = 25% = 0.25
Clients that have Dogs = P(D) = 32% = 0.32
The number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11
Sets of data in mathematics are governed by laws which include Distributive law, Commutative law, Associative law, Identity law e.t.c.
The commutative law of sets states that :
A ∩ B = B ∩ A
A ∪ B = B ∪ A
Therefore, based on the commutative law of sets, Option 4 " P(C ∩ D) = P(D ∩ C) " is correct.
Since we are told in the question above that the number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11 and based on the commutative law that says
P(C ∩ D) = P(D ∩ C)
Therefore, Option 3 " P(C ∩ D) = 0.11"
is correct as well.
Answer:
B, C, D on ed
Step-by-step explanation:
The radius of a circle is 1 foot. What is the diameter?
r=1 ft
Give the exact answer in simplest form.
feet
Final answer:
The diameter of a circle with a radius of 1 foot is 2 feet.
Explanation:
The radius of a circle is half the diameter. So, if the radius (r) of a circle is given as 1 foot, the diameter (d) is simply twice the radius. Therefore, the diameter is:
d = 2 × r
d = 2 × 1 ft
d = 2 ft
Hence, the diameter of the circle is 2 feet.
What is the slope of the line
Answer:
Step-by-step explanation:
(0,2) (1,0)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2[/tex]
What percent is 18 out of 20
Answer:
it's 90%
Step-by-step explanation:
1. Divide 18 by 20 and you will get a decimal form answer
2. Then you multiple it by 100 and you will get your answer which is 90.00%
18 out of 20 is 90 percent.
What percent is 18 out of 20?To find the percentage of 18 out of 20, you can follow these steps:
1. Divide the given number (18) by the total number (20).
18 ÷ 20 = 0.9
2. Multiply the result by 100 to get the percentage.
0.9 × 100 = 90
Therefore, 18 out of 20 is 90 percent.
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there are_____in the listening process
There are
a. 6 steps
b. 5 steps
c. 3 steps
d. 10 steps
Please select the best answer from the choices provided
Answer:
5 steps.
Step-by-step explanation:
RecievingUnderstandingEvaluatingRememberingRespondinghope it helps!
MATH HELP 10 PTS
A rectangular gardens length is 6 feet longer than it’s width. if the perimeter can be represented by P(x)= 4x + 12.
What is the width and length of the garden if the perimeter is 32 ft?
Answer:
The width is 5 and the length is 11
Step-by-step explanation:
The formula for perimeter is
P = 2(l+w)
We know the perimeter is 32
32 = 2 (l+w)
Divide each side by 2
32/2 = 2(l+w)
16 = l+w
We know the length is 6 longer than the width
l = w+6
16 = w+6+w
Combine like terms
16 = 2w+6
Subtract 6 from each side
16-6 = 2w+6-6
10 = 2w
Divide by 2
10/2 = 2w/2
5 =w
The length is
l = w+6
5+6 = 11
Amy ran for president of the chess club, and she received 38 votes. There were 40 members in the club. What percentage of the club members voted for Amy?
Answer:
95%
Step-by-step explanation:
Step 1: 38/40= 0.95
Step 2: multiply 0.95x100= 95
Judith scores an 85 on 19 of the 25 math tests she took this year. What is the experimental probability that she will score an 85 or higher on her next test? Write the probability as a percent.
Answer:
The answer is %33,33.
Step-by-step explanation:
Depending on the information given in the question, we can see that Judith received a score of 85 or higher in one of her three tests.
So we can calculate her probability of receiving 85 or higher as 100/3 = %33,33.
I hope this answer helps.
what is 1+234x9876-076+09x09.9876543212345678/8976543213456789.9876543
Answer:
the answer would be around 2310913.111...
Step-by-step explanation:
use bedmas
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
Answer:
[Tex]A(t)=5000(0.7)^t[/tex]
Step-by-step explanation:
The problem presented is one in which the population of the bacteria depreciates by a decay factor r every year.
Since it is a decay problem, we use the model:
[Tex]A(t)=P(1-r)^t[/tex]
Initial Population, P=5000
Decay Rate,r=30%=0.3
t=time interval
Therefore, the equation that represents this situation is:
[Tex]A(t)=5000(1-0.3)^t[/tex]
[Tex]A(t)=5000(0.7)^t[/tex]
The equation that represents this situation is y = 5000(0.7)ˣ
An exponential decay is given by:
y = abˣ
where a is the initial value of y, b is the rate of decay and y, x are variables.
Since the culture begins with 5000 cells, hence a = 5000. The cells die by 30% each year, hence b = 100% - 30% = 0.7
The equation is: y = 5000(0.7)ˣ
Therefore the equation that represents this situation is y = 5000(0.7)ˣ
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If the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
Answer:
the area of the circle is [tex]2.25\pi\ cm^2[/tex].
Step-by-step explanation:
We have,
Circumference of a circle is 3π cm
Formula of circumference of a circle is given by :
[tex]C=2\pi r[/tex]
r is radius of circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{3\pi }{2\pi}\\\\r=1.5\ cm[/tex]
Area of a circle is given by :
[tex]A=\pi r^2\\\\A=\pi (1.5)^2\\\\A=2.25\pi\ cm^2[/tex]
So, the area of the circle is [tex]2.25\pi\ cm^2[/tex].
The price of an item yesterday was $90. Today, the price fell to $63. Find the percentage decrease.
The percentage decrease in price from $90 to $63 is 30%.
Explanation:To find the percentage decrease in price, we need to calculate the difference between the old price ($90) and the new price ($63), and then divide that difference by the old price. Finally, we multiply the result by 100 to get the percentage.
Step 1: Calculate the difference: $90 - $63 = $27
Step 2: Divide the difference by the old price: $27 / $90 = 0.3
Step 3: Multiply the result by 100 to get the percentage: 0.3 * 100 = 30%
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−n+(−3)+3n+5 combine like terms
Answer:
(-3+5)+(3n-n) = 2+2n
Step-by-step explanation:
Type the expression that results from the following series of steps:
Start with
x
times by 9.
Answer:
Step-by-step explanation:
Given
x times by 9
Required
Write out an algebraic expression for the above.
Follow the instructions below to get the algebraic expression of the above.
1. First, write out the variable: x
2. Then write out an expression for "times by 9". This means multiply x by 9.
So, this gives x * 9.
x * 9 = 9x.
Hence, the expression for the above question is 9x
Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg, and the median mass was 3,600 kg . The smallest elephant, named Lola, weighed 2,700 kg
Lola then got very sick and lost weight until her mass reached 1,800 kg
How will Lola's mass decreasing affect the mean and median?
(A) Both the mean and median will decrease.
(B)The median will decrease, and the mean will stay the same.
(C)The mean will decrease, and the median will stay the same.
(D) The mean will decrease, and the median will increase.
Answer:
Step-by-step explanation:
21
Answer:
c
Step-by-step explanation:
the mean will change because she weighs less but the median stays the same because she was the smallest elephant anyway
A pencil holder shaped like a triangular prism is shown in the picture the height of the pencil holder is 12 cm,and the volume of the pencil holder is 216 cm.what is the area of the base of the pencil holder in square centimeters
The area of the base of the triangular prism-shaped pencil holder is 18 square centimeters, calculated by dividing the given volume of 216 cm³ by the height of 12 cm.
The question asks for the area of the base of a pencil holder with a given volume and height, shaped like a triangular prism. To find the area of the base of the pencil holder, we can use the formula for the volume of a prism: Volume = Base Area imes Height. Since the volume and height are given, we can rearrange the formula to solve for the Base Area as follows:
Base Area = Volume / Height
Plugging in the values given:
Base Area = 216 cm³ / 12 cm
Base Area = 18 cm²
Therefore, the area of the base of the pencil holder is 18 square centimeters.
What is the inverse of f(x)= 1/5 x
Is it an inverse function?
The inverse of the function f(x) = 1/5x is found by switching the roles of y and x, then solving for y. This results in the inverse function f^-1(x) = 5x, which undoes the effect of the original function.
Explanation:The inverse of a function, in this case f(x) = 1/5x, is the function that will reverse the effect of the original function. In this case, to find the inverse function of f(x), you swap the roles of y and x in the original function and solve for y.
So, f(x) = 1/5x becomes x = 1/5y. Multiply both sides by 5 to get rid of the denominator on the y-side, which results in 5x = y. Thus, the inverse function is f^-1(x) = 5x.
It's indeed an inverse function as it reverses the effect of the initial function f(x).
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Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. The system of equations has one solution because the lines will never intersect. The system of equations does not have one solution because the lines will eventually intersect. The system of equations does not have one solution because the lines will never intersect.
Answer:
the answer is A. The system of equations has one solution because the lines will eventually intersect
Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution
The system of equations has one solution because the lines will eventually intersect.
Which statement is true?
We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.
Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).
In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.
With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."
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Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b on her gift card after n lattes. What is the meaning of the x-intercept
A) Nevaeh’s card is depleted after 10 lattes
B) Nevaeh has $25 on her gift card.
C) Each latte is $2.50
D) Nevaeh has no money left on her card after 25 lattes
Answer:
your answer is c give me brainliest please
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
After 2 lattes the balance is $20 so each latte cost $2.50
Cylinder A has a base of 3 and height of 3 cylinder be has the base of 2 and the height of 4. What is the ratio of the volume of cylinder A to the volume of cylinder B?
Answer:
1.6875
Step-by-step explanation:
For cylinder A, the base = diameter = 3, the height of the base is 3.
The radius of cylinder A (r) = diameter / 2 = 3/2 = 1.5
The volume of a cylinder is given by the equation:
Volume (v) = πr²h
Therefore volume of cylinder A = πr²h = π × 1.5² × 3 = 6.75π
For cylinder B, the base = diameter = 2, the height of the base is 4.
The radius of cylinder B (r) = diameter / 2 = 2/2 = 1
The volume of a cylinder is given by the equation:
Volume (v) = πr²h
Therefore volume of cylinder A = πr²h = π × 1² × 4 = 4π
The ratio of the volume of cylinder A to the volume of cylinder B = volume of cylinder A / volume of cylinder B = 6.75π / 4π = 1.6875
(7-4n) x 6= I need the answer as quick as possible
Answer:
42 - 24n
Step-by-step explanation:
(7-4n) 6
Distribute
7*6 - 4n*6
42 - 24n
Answer:
42 x - 24 x n - i = 0
Step-by-step explanation:
Expand the following:
6 x (7 - 4 n) = i
6 x (7 - 4 n) = 6 x×7 + 6 x (-4 n):
6×7 x - 4×6 x n = i
6×7 = 42:
42 x - 4×6 x n = i
6 (-4) = -24:
42 x + -24 x n = i
Subtract i from both sides of 42 x - 24 x n = i:
42 x - 24 x n - i = i - i
-i + i = 0:
Answer: 42 x - 24 x n - i = 0
f the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the new parallelogram?
Parallelogram a
78 in2
b
84 in2
c
104 in2
d
108 in2
Answer:
C.
Step-by-step explanation:
In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from their parents. How many walkers got a ride to school from their parents today?
describe how to translate the graph of y = x + 2 to the graph of the given function.
y = x + 7
pls help and show work!!!!
Answer:
Step-by-step explanation:
y = x + 2 and y = x + 7 are parallel straight lines which have the same slope, 1. The graph of y = x + 2 becomes the graph of y = x + 7 if we translate it (graph of y = x + 2) up 5 units.