Answer:
it should be 23 feet long
Step-by-step explanation:
Content attribution
Question
If you deposit $600 into an account which earns 4% yearly interest compounded quarterly,
how much will be in the account after 7 years, assuming you never withdraw money from
the account? Round your answer to the nearest cent if necessary and do not include the
dollar sign.
Provide your answer below:
Answer:
4,368
Step-by-step explanation:
take 600 and add 4% to get 624
then take the 624 and multiply by 7
and the answer is 4,368
let's see what to do buddy...
_________________________________
_________________________________
Step (1)
We have 600 $ .
One year later ;
\(600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ \)
Now we have 624 $.
_________________________________
Step (2)
One year later :
\(624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 \)
After two years we have 649 $.
_________________________________
Step (3)
One year later :
\(649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 \)
After three years we have 675 $.
_________________________________
Step (4)
One year later :
\(675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ \)
So after four years we have 702 $.
_________________________________
Step (5)
One year later :
\(702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 \)
After five years we have 730 $.
_________________________________
Step (6)
One year later :
\(730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 \)
So After six years we have 759 $.
_________________________________
Step (7)
One year later :
\(759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 \)
So after seven years we have 789 $.
_________________________________
There's no any more steps.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Which of the following represents a function?
a.(5, 1), (5, 2), (5, 3), (5, 4)
b.(2, 3), (4, 3), (-2, -3), (-4, -3)
c.(3, 4), (-3, 2), (3, 8), (5, 5)
d.(-1, 2), (-2, 1), (-1, -2), (-2, -1)
2x (3x+20) find the value of X
Answer:
6x^2+40x
Step-by-step explanation:
2x(3x+20)
6x^2 +40x
That's your answer. you won't be able to find x
What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42
Answer:
X= 5.52
Step-by-step explanation:
1. Solve the equation:
e×2x + 12= 42
x=15/e
2. Round x=15/e to the required place
x=5.52
Answer:
X=1.15
Step-by-step explanation:
(Irrational Numbers MC)
Approximate -10 + √30 to the nearest tenth. HELP PLS
-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5
Answer:
-4.5
Step-by-step explanation:
\(\sqrt{30}\) is approximately 5.47722557505. You can find this number with a calculator.
-10 + 5.47722557505 = -4.52277442495
To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value. Absolute value just means thinking of both numbers as positive numbers.
Helping in the name of Jesus.
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
In Katya’s car, the number of miles driven is proportional to the number of gallons of gas used. Find the missing value in the table. (at the bottom)
b. What is the constant of proportionality?
Answer:
8
Step-by-step explanation:
hope this helps~ :D
Answer:
8 aayega iska answer
23. Tara is driving 30 miles per hour. How long will it take her to travel 60 miles?
Answer:
2 hours
Step-by-step explanation:
30×1=30
30×2=60
A
,
B
and
C
form a triangle where
∠
B
A
C
=
90
∘
.
A
B
=
12.1
mm and
B
C
=
19.7
mm.
Find the length of
A
C
, giving your answer rounded to 1 decimal place.
Answer:
15.5 mmStep-by-step explanation:
Given:
ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mmSince BC is opposite to right angle, AC is the missing leg.
Find AC using Pythagorean:
\(AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm\)Which of the following is the number form of thirty-eight and one hundred seven thousandths? A. 38.170 B. 38.017 C. 38.107 D. 38.071
Answer:
the answer is C.) 38.107
Answer:
C. 38.107
Step-by-step explanation:
Verified by test results of student's test.
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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HELP ASAP PLEASE 100 POINTS
What influenced Denis to write the first non-objective statement? (You must use one quote from his article the Definition of Neotraditionism)
What factors led Kandinsky to arrive at non-objective painting? (You must give at least one quote from Concerning the Spiritual in Art, and list the page number.
What did Kandinsky write about color? (You must give at least one quote from Concerning the Spiritual in Art - Part II. About Painting, VI: The Language of Form and Color and give the page number.)
With regard to Neotraditionism, Denis' influence to write the first state what was not objective comes from the desire to "put an end to all kind of naturalism and illusion" "Purely Plastic Art"
How is this so?In order to create truly original works of art that went beyond what they saw as stagnating traditions of representation and illusionism both Denis and Kandinsky had their own unique visions for what constituted true artistic expression
Denis wanted to create a "purely plastic art" that would transcend nature altogether (Denis, 1890).
While Kandinsky believed that color held within it an almost mystical power capable of evoking deep emotions: "Color is...the soul is...the artist is..." he wrote poetically (p. 44).
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5. 2x + 5 - 7x = 15
6.
X=
Help me
Answer:
-2
Step-by-step explanation:
2x+5-7x=15
Combine like terms
-5x+5=15
Subtract 5 from both sides
-5x=10
Divide -5 from both sides
x=-2
Answer:
2x+5-7x=15
-5x+5=15
5-15 =5x
-10 =5x
10/5=x
x= -2
A teacher is taking 30 students on field trip . The ratio of 3 girls to 5 boys. How many boys are there
Answer:
20
Step-by-step explanation:
there is 20 boys
Answer:
If the ratio is 3:5, and the number of pupils is 27, this means that there are 5 + 4 = 9 ninths to the whole. Therefore, 5/9 x 27 is equal to 15 and 4/9 x 27 is equal to 12. There are therefore 15 girls and 12 boys.
Step-by-step explanation:
Michelle is buying a 95,000 dollar home. She has been approved for a 4.95% APR, 30 year mortgage. She made a 15% down payment and will be closing on April 8th. How much should she expect to pay in prepaid interest at the closing
Answer:
b
Step-by-step explanation:
because u can tell
At the closing of her home purchase, Michelle should expect to pay prepaid interest of $6,934.50. This amount represents the interest accrued from April 8th to the end of the month.
The monthly payment for Michelle's mortgage is calculated as follows:
Principal and interest payment = (95,000 - 15,000) x 0.0495 / 12
This equals a monthly payment of $420.63.
Michelle's total interest over the life of the loan is $119,750. This amount is the sum of her prepaid interest and the total interest she pays over the life of the loan.
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. Social Activity Education Above Average Average Below Average College 30 20 10 High School 20 40 90 Grade School 10 50 130 Using 0.05 as the significance level, what is the critical value for the test statistic
Answer:
9.488
Step-by-step explanation:
The critical value is found by first assessing which statistical test should be used.
We are interested in investigating relationship between social activity and education so chi-square test would be appropriate.
We have 3 rows and 3 columns. The degree of freedom for chi-square critical value is (r-1)(c-1)=(3-1)(3-1)=2*2=4
Chi-square critical value(0.05,4)= 9.488
please answer this question
Answer:
7km
Step-by-step explanation:
\( {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km\)
I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
Consider the initial value problem:
y' + 5/3y =1 - 1/5t, y(0)= yo
What equation expresses the requirement that the solution touches the t-axis?
a. y(t)= 0
b. y'(t)= 0
c. y''(t)= 0
Answer:
a. y(t) = 0
Step-by-step explanation:
There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.
You are provided with a compound fertilizer
40- 15-10 calculate the quantity of Fertilizer to
add to a one hectare field to supply.
a. Nitrogen at 120kg/na.
b. Mitrogen at 90kg/ha.
Phosphures (p2O5) at rate of 60kg/ha
d. Potassium (k2o) at rate of 60kg/ha.
Answer:
a. 300 Kg of fertilizer
b. 225 Kg of fertilizer
c. 400 Kg of fertilizer
d. 600 Kg of fertilizer
Step-by-step explanation:
Step 1: The values 40 - 15 - 10 gives the percentage compositions of Nitrogen, Phosphorus and Potassium present in the compound fertilizer.
40 % Nitrogen = 40/100 = 0.4
15 % Phosphorus = 15/100 = 0.15
10 % Potassium = 10/100 = 0.1
Step 2: To determine the quantity of fertilizer required per hectare to supply the various nutrients at the given quantities per hectare, the quantity to be supplied is divided by their percentage composition.
a. Nitrogen at 120 kg/ha will require 120/0.4 = 300 Kg of fertilizer
b. Nitrogen at 90 kg/ha will require 90/0.4 = 225 Kg of fertilizer
c. Phosphorus(P₂O₅) at rate of 60 kg/ha will require 60/0.15 = 400 Kg of fertilizer
d. Potassium (K₂O) at rate of 60 kg/ha. will require 60/0.1 = 600 Kg of fertilizer
Find a negation for each of the statements in (a) and (b). (a) This vertex is not connected to any other vertex in the graph. No vertex is connected to any other vertex in the graph. All vertices are connected to all other vertices in the graph. This vertex is connected to at least one other vertex in the graph. All vertices are connected to at least one other vertex in the graph. This vertex is connected to all other vertices in the graph.
(a) Negation: C) This vertex is connected to at least one other vertex in the graph. (b) Negation: D) This number is related to at least one even number.
(a)
A) Some vertex is connected to some other vertex in the graph.
B) At least one vertex is not connected to any other vertex in the graph.
C) This vertex is connected to at least two other vertices in the graph.
D) There exists at least one vertex that is not connected to at least one other vertex in the graph.
E) This vertex is connected to some other vertices in the graph, but not necessarily to all of them.
(b)
A) This number is related to at least one odd number.
B) There exists at least one number that is not related to any even number.
C) All numbers are related to at least one even number.
D) This number is not related to at least one even number.
E) All numbers are related to at least one even number.
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Complete question:
Find a negation for each of the statements in (a) and (b).
(a) This vertex is not connected to any other vertex in the graph.
A) No vertex is connected to any other vertex in the graph.
B) All vertices are connected to all other vertices in the graph.
C) This vertex is connected to at least one other vertex in the graph.
D) All vertices are connected to at least one other vertex in the graph.
E) This vertex is connected to all other vertices in the graph.
(b) This number is not related to any even number.
A) This number is not related to any odd number.
B) All numbers are related to at least one even number.
C) All numbers are not related to any even number.
D) This number is related to at least one even number.
E) No number is related to any even number.
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Find the value of w and x in the following diagram zoom in
5
32⁰
W
6
to
Round your answers to the nearest hundredth.
The values of the side w and the angle x are 2.649 and 26. 206 degrees respectively.
How to determine the valueIt is important to note that there are different types of trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the image shown, we have;
Using the sine identity
sin θ = opposite/hypotenuse
sin 32 = w/5
find the value
w = 2. 649
To determine the value of angle x , we have;
Using the sine identity
sin x = w/6
sin x = 2. 649/6
sin x= 0. 4416
Take the sine inverse
x = 26. 206 degrees
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Write and solve an equation to find the value of x.
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
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You made a big batch of slime for all of your friends. You have 7.2 cups of slime and 36 containers. What is the unit rate? (How much is in each container?) Enter your answer as a decimal in the box. The units are cups per container. Do not put the units.
Using the unitary method, we found that the unit rate of slime is 0.2 cups per container.
What is meant by the unitary method?
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.
Given,
Number of cups of slime = 7.2
Number of containers = 36
Unit rate = Amount of slime in each container
Using the unitary method we can find the unit rate.
7.2 cups = 36 containers
1 container = 7.2/36 = 0.2 cups.
Therefore using the unitary method, we found that the unit rate of slime is 0.2 cups per container.
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Which is the
graph of y - 3 = -2/3(x-6)
Answer:
the graph would show a line with a y-intercept of 7 and a slope of -2/3
Step-by-step explanation:
y - 3 = -2/3x + 4
y = -2/3x + 7
the graph would show a line with a y-intercept of 7 and a slope of -2/3
Answer:21/2
Step-by-step explanation:
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
what's is the difference of -1/2 and 2/5
Answer:
-9/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think -9/10