The formula for continuously compounded interest is:
A = P * e^(rt)
where:
A is the final amount
P is the initial amount (the principal)
r is the annual interest rate (in decimal form)
t is the number of years the interest is compounded
Substituting in the given values, we get:
A = $28,000 * e^(0.0525 * 4) = $28,000 * e^0.21 = $28,000 * 1.23 = $28000*1.23 = 34,540
Therefore, there will be $34,540 in the account after 4 years.
Learn more about "continuously compounded interest": https://brainly.com/question/17185294
Show that 12 multiplied by 4 is 48, using at least three daily life examples.
Answer:
Step-by-step explanation:
If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.
If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.
If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.
Please help me solve this
a. The model represents exponential growth.
b. The annual percentage increase is 3%.
c. After 2390 decades the population was about 590000.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_₀.e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_₀.e^{(-kt)}.[/tex]
Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by [tex]y = 492(1.03)^t[/tex].
The model represents exponential growth as time can not be negative.
The annual percentage increase in the model [tex]y = 492(1.03)^t[/tex] is 3%
as 1.03×100% = 103%.
The time when the population was about 590000 since the beginning of a decade is,
[tex]590000 = 492(1.03)^t[/tex].
[tex](1.03)^t = 590000/492[/tex].
[tex](1.03)^t = 1199.1869[/tex].
[tex]log_{1.03}1.03^t = log_{1.03}1199.1869[/tex].
t = 2389.84 Or 2390 decades.
learn more about exponential growth here :
https://brainly.com/question/12490064
#SPJ1
Question 4
Solve the equation x² - 4x+6=0 by completing the square.
BIUX² X₂ 15px help!!p
The solution of the equation x² - 4x + 6 = 0 using completing the square is x = 2 ± √(-2)
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomial can be classified based on degree of two as a quadratic equation.
Given the equation:
x² - 4x + 6 = 0
Solving using completing the square method:
subtract 6 from both sides:
x² - 4x = -6
add to both sides the square of half the coefficient of x:
x² - 4x + 4 = -6 + 4
(x - 2)² = -2
Taking square root of both sides:
x - 2 = ±√(-2)
x = 2 ± √(-2)
The solution is x = 2 ± √(-2)
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Find the length of FH.
12
11
F
FH
Answer:
23
Step-by-step explanation:
FH=FG+GH
FH=11+12
FH=23
Slope intercept form
Answer:
The formula for finding Slope Intercept Form is y = mx + b.
Step-by-step explanation:
Y - Y coordinate
M - Slope
X - X coordinate
B - Y Intercept
This formula is used for finding the equation of a line.
how do i do this
find the difference of 24-3k and 5k-11.
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
simplify (2^3)^-2
A -1/64
B 1/64
C 2
D 64
y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594
Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.
What is line of regression?When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.
What is scalar?Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.
To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.
y = 2060 - 0.186(4594)
y = 2060 - 848.424
y = 1211.576
So the predicted full rear repair cost would be $1211.576
To know more about Distance visit
:https://brainly.com/question/26550516
#SPJ1
Answer:
$1,206
Step-by-step explanation:
Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.Therefore,
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
Every input has a single output, proving that it is a function.
The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.
Here, domain is equal to two and range is one.
(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)
Every input has a single output, proving that it is a function.
Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.
Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.
(iii) (1,3),(1,5),(2,5)
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
The complete question is:
Which of the following relations are functions? Give reasons.
If it is a function determine its domain and range
(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)
(iii) {(1,3),(1,5),(2,5)
To learn more about function, refer to:
https://brainly.com/question/25638609
#SPJ1
What is the factored form of the expression x2−4x ? 4
Help? Can anyone help? I’ll give Brainly! It’s not 2,700... thank you!!
9514 1404 393
Answer:
$2604
Step-by-step explanation:
The tax due on $50,000 is ...
0.02(2000) +0.05(9000 -2000) +0.054(50000 -9000)
= 0.054(50000) -9000(0.054 -0.05) -2000(0.05 -0.02)
= 2700 -36 -60
= 2604 . . . . dollars tax due
Some1 hurry up and help me plzzz!!!
Statement D is false, -1 ≠ -(-1) because -1 ≠ 1
If Braulio bought 34 spinners for $5.44, how much would he pay for 20 spinners? Estimate the unit rate, and then solve the problem. Write a paragraph to explain the process and justify your response.
Answer:
The estimated total cost for 20 spinners is $3.2.
Step-by-step explanation:
To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.
The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:
$5.44 / 34 spinners = $0.16 (approximately)
We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:
20 spinners * $0.16/spinner = $3.2
So the estimated total cost for 20 spinners is $3.2.
In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.
Equations of Exponential Functions
Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from choices provided
Answer:
B. B is 0.535; It is a decay factor.
Step-by-step explanation:
I calculated it logically
Answer:
B. b is 0.535; It is a decay factor.
Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
What is the rate of change of the function y= 3/4x - 2
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
Jim made 45 treats for his birthday. He gave 5 away tohis family before taking the rest to school. What percent did he give away to his family?
Percentage of chocolates Jim given to his family is 11.11%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Jim made 45 treats for his birthday. He gave 5 away to his family before taking the rest to school.
Now, percentage of chocolates Jim given to his family
= 5/45 ×100
= 0.1111 ×100
= 11.11%
Therefore, percentage of chocolates Jim given to his family is 11.11%.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
D = 75°E = 37°F = 68 ° GivenStep-by-step explanation:
[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]
I hope that is useful for you :)
Which of the following is the slope of the line y - 3x =0
Answer:
-3
Step-by-step explanation:
Answer: The slope whould be 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept:
(0,0)
x|y
----
0|0
1|3
What are the main things I need to know when doing variables on both sides of the equation?
Answer:
Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.
Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.
When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.
2 { 10 - 5 [ 1 +3 ( 6 - 2 )]} and show your work, please and thank u ( NO PUT LNK) ( AND PLEASE NO PUT STVPID ANSWER
Answer:
=-110 is ur answer!
Step-by-step explanation:
2(10-5(1+3(6-2)))
=(2)(10+-65)
=(2)(10)+(2)(-65)
=20-130
A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?
By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
Learn more about quotients by reading:
https://brainly.com/question/629998
#SPJ1
Exponential Function
Which of the following is true about the function y = 4 · 3×?
a. the function decreases
b. the function has a y-intercept of (0, 3)
c. if the value of x increases by 1, the value of y will triple.
d. the function contains the point (1, 4)
Please select the best answer from the choices provided
Answer:
C. If the value of x increases by 1, the value of y will triple.
Step-by-step explanation:
I calculated it logically
Find the volume of the cone below, use 3.14 for pi.
9 cm
12 cm
Answer:
763.02
Step-by-step explanation:
(3.14 x 4.5^2)12 = 763.02
An employee at an aquarium monitors how much their sea otters eat. The amount of food a particular otter eats
daily is approximately normally distributed with a mean of 17 pounds and a standard deviation of 1 pound. They
suspected this otter was not eating enough, so they took a random sample n = 10 days and observed a sample
mean of T = 16.5 pounds of food per day.
To see how likely a sample like this was to occur by random chance alone, the employee performed a simulation.
They simulated 40 samples of n = 10 values from a normal population with a mean of 17 pounds and a
standard deviation of 1 pound. They recorded the mean of the values in each sample. Here are the sample
means from their 40 samples:
Answer:
0.125
Step-by-step explanation:
5/40 simulated results were at or below mean 16.5
The approximate p-value of the test that's given in this scenario will be p-value = 0.125.
What is p-value?P-value simply means the probability that a test statistic can be seen to be extreme or more.
From the complete question, the approximate p-value of the test is 0.125. The p-value measures the probability that a difference could have taken place by random chance.
In conclusion, the observed difference in this case can be attributed to chance by 12.5%.
Learn more p-value on:
https://brainly.com/question/13786078
what is the value of q³?!
Answer:
-6
Step-by-step explanation:
You seem to want the value of q₃ in the matrix Q⁻¹.
Matrix inverseThe inverse matrix, Q⁻¹, is the transpose of the cofactor matrix, divided by the determinant. That makes q₃ = -q₂₁/det(Q):
q₃ = -(-2/3)/((-1(-1/9) -(-2/3)(-1/3))
q₃ = (2/3)/(1/9 -2/9) = (6/9)/(-1/9)
q₃ = -6
__
Additional comment
The transpose of the cofactor matrix of a 2×2 matrix is the original with the diagonal terms swapped, and the off-diagonal terms negated. Basically, the only math involved in computing the inverse is finding the determinant, and dividing by it.
Education order reads: 24 hours after bone marrow transfusion give Neupogen 10 mcg/kg/d IV. Supply on hand. Neupogan 300 mcg/ml. Patient’s weight 115 lbs. Give __ mL
Education order reads: 24 hours after bone marrow transfusion give Neupogen 10 mcg/kg/d IV. Supply on hand. Neupogan 300 mcg/ml. Patient’s weight 115 lbs. Give 1.74 mL
What is the Neupogen calculations about?To calculate the appropriate dosage of Neupogen to give to the patient, we need to convert the patient's weight from pounds to kilograms and then use the dosage provided in the order (10 mcg/kg/d IV).
First, we have to convert the patient's weight from pounds to kilograms:
115 pounds = 52.16 kg
Now we can use the dosage provided in the order (10 mcg/kg/d IV) to calculate the appropriate dosage for the patient:
10 mcg/kg/d IV
= 10 mcg/kg/day * 52.16 kg
= 521.6 mcg/day
Then, since the Neupogen is available in a solution of 300 mcg/ml, we can use the following formula to calculate the required volume of solution to give to the patient:
Volume = Dosage / Concentration
= 521.6 mcg / 300 mcg/ml
= 1.74 ml
So, the education order reads 24 hours after bone marrow transfusion, give 1.74 mL of Neupogen at a concentration of 300 mcg/mL IV.
Learn more about Neupogan from
https://brainly.com/question/28213013
#SPJ1
Solve the system with elimination. 2x+2y=4 x+3y=6
Answer:
Point Form:
(0,2)
Equation Form:
x=0,y=2
Step-by-step explanation:
Two numbers total 43 and have a difference of 11 Find the two numbers.
Answer:
27 and 16
27 + 16 = 43
And the difference between them ( 27-16) = 11
Step-by-step explanation: