[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]
[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]
Find the value of r.
Note: Write your answer as a decimal.
Answer:
[tex]\huge\boxed{\sf r = 10.5}[/tex]
Step-by-step explanation:
Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.
Base = r
Perpendicular = 14
Hypotenuse = r + 7
Using Pythagoras theorem:
[tex](Hypotenuse)^2 = (Base)^2+(Perp)^2[/tex]
Put the values
(r + 7)² = (r)² + (14)²
Using formula a² + 2ab + b² = (a + b)²
r² + 14r + 49 = r² + 196
Subtract r² to both sides
14r + 49 = 196
Subtract 49 to both sides
14r = 196 - 49
14r = 147
Divide 14 to both sides
r = 147 / 14
r = 10.5
[tex]\rule[225]{225}{2}[/tex]
You earn $1,166 gross taxable income every week, and have claimed no exemptions. assuming that you have no other sources of income, what is the amount of income tax withheld each week? for weekly gross income between 1,160 and 1,170 dollars and claiming no exemptions, 340 dollars will be withheld each week. a. $323 b. $337 c. $340 d. $344
They are exempt from income tax and we would get the income tax withheld as $340
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
You earn $1,166 gross taxable income every week and have claimed no exemptions. assuming that you have no other sources of income.
Gross taxable Income = $ 1,166
Rate of Income tax = 30%
Amount of income tax = 30 % of 1,166
= 30/100 × 1,166
= $339.6
= $340
Therefore. they are exempt from income tax and we would get the income tax withheld as $340.
Read more about taxable income here:
brainly.com/question/25641320
Answer:
340
Step-by-step explanation:
1) vending machine a) albert presses D and bag of peanuts drops down.Bill presses D and a bag of peanuts drops down.b) albert presses D and a bag of peanuts drops down.Bill presses D and a bag of cookies drops down.c) Albert presses D and a bag of peanuts drops down.Bill presses G and a bag of peanuts drops down.
Answer:
This strange because the vending machine has diffrent foods in the same lane!
Step-by-step explanation:
Determine the intercepts of the line.
Do not round your answers.
y = 4x + 7
X-intercept: ( __ , __ )
Y-intercept: ( __ , __ )
Answer:
y intercept is (0,7) & x is (7/4,0)
Step-by-step explanation:
you put 0 for y or x and solve to get the intercept. for y int, you put 0 where the x is. for x int, put 0 at y.
y intercept is (0,7).
y = 4(0) + 7
y = 0 + 7
y = 7
x intercept is (7/4,0)
0 = 4x + 7
7 = 4x
7/4 = 4x/4
7/4 = x
6. Which of the following equations can be
used to
find the missing angle, x, in the triangle below?
F. X + 84 = 180
G. X + 84 = 360
H. X + 42 = 90
J. X + 42 = 180
Answer:
the answer is g , X+84= 360
please find the answer for this question.
5n - 2 = 13
n =
Answer:
n = 3
Step-by-step explanation:
5n - 2 = 13
+2 +2
5n = 15
5n÷5 15÷5
n = 3
The ball had a made of 2 kg and final speed of 5 m/s. What is the kinetic energy of the ball? Give your answer in joules (J) Recall that the equation for finding kinetic energy is ‘’Kinetic Energy =1/2mass x speed
Answer:
25 J
Step-by-step explanation:
Using the proper formula for kinetic energy ...
KE = 1/2mv²
we can substitute the given values to find the kinetic energy of the ball.
__
KE = 1/2(2 kg)(5 m/s)² = 25 J
_____
The unit "Joule" is a derived SI unti equivalent to 1 kg·m²/s².
A train that travels at 240 km/hr will travel _____m in 30 seconds
Answer: 8 meters
Step-by-step explanation: you divide 240 by 30
Please bots keep spamming my answers someone really I'm begging you I need this answer to study for my test tomorrow
Selenas snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $136 worth of snow cones. If the number of large snow cones sold was 12 more than the number of smalls, how many of each size did she sell?
small cones = 22
large cones = 34
hope it reall helps...
Traci mixed nuts and raisins together in bags to make a trail mix. She had a total of 6 cups of nuts and 8 cups of raisins. She placed 3 cup of nuts in each bag, and 4 cup of raisins in each bag. Traci wanted each bag to have a mixture of nuts and raisins. After Traci uses all the nuts she has, how many more bags need nuts added?
Answer:
14
Step-by-step explanation:
Han says, “The perimeter of the picture is 22 inches. If I cut the framing material into
9 pieces, each one being 2.5 inches by inch, I'll have more than enough material to
surround the picture because those pieces would mean 22.5 inches for the frame."
4
Do you agree with Han? Explain your reasoning.
Answer: No! It has no truth! YOU CAN NOT CUT SOMETHING TO MAKE MORE OF IT!!!!!!!!!!!
Step-by-step explanation:
The number of links on a chain is proportional to the length of the chain. If 25 links create a chain that is 21.25 inches long, than how many links are in a chain that is 80.75 inches long
Answer:
95
Step-by-step explanation:
21.25 times 4 is 85
so it's 3 point something
then you do 80.75 divided by 21.25 and get 3.8 and then 25 times 3.8 is 95
Links are in a chain that is 80.75 inches long are 95.
The number of links on a chain is proportional to the length of the chain.
If 25 links create a chain that is 21.25 inches long,
then how many links are in a chain that is 80.75 inches long.
What are the inches?The inch can be defined as a unit of length in the customary system of measurement.
21.25 times 4 is 85.
Then you divided 80.75 by 21.25.
[tex]\frac{80.75}{21.25} =3.8[/tex]
Then 25 times 3.8 is 95
[tex]3.8\times 25=95[/tex]
To learn more about the inches visit:
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What is the perimeter of the triangle?
36 cm
48 cm
55 cm
centimeters
Stan’s Car Rental charges $35 per day plus $0. 25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of the rental to no more than $55. What is the greatest number of miles Denise can drive the car to stay within her budget?
Find the area and circumference of the circle if It is 13 in
Answer:
Area: 531 in²
Circumference: 82 in
Step-by-step explanation:
Given:
radius = 13 inchesπ = 3.14round to nearest whole numberTo find:
AreaCircumferenceArea of Circle:
[tex]\displaystyle \large{A=\pi r^2}[/tex]
A = areaTherefore:
[tex]\displaystyle \large{A=3.14 \cdot 13^2}\\\displaystyle \large{A=530.66 }[/tex]
Round to nearest whole number:
If the digit is at least or greater than 5, round to 1.If the digit is less than 5, don’t do anything.Therefore, the area is 531 inches squared
Circumference of Circle:
[tex]\displaystyle \large{C=2\pi r}[/tex]
C = circumferenceTherefore:
[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 13}\\\displaystyle \large{C=81.64}[/tex]
Round to nearest whole number:
Hence, the circumference is 82 inches
Easy math question help
Answer:
irrational
Step-by-step explanation:
sqrt(3) is never ending.
Since it is never ending it is irrational
Answer:
irrational
Step-by-step explanation:
sqrt(3) is never-ending.
Since it is never-ending it is irrational
what is the radius of a 3 1/2 inch circle
Answer:
1.75 in
Step-by-step explanation:
Diameter = 3.5 in
Radius = D ÷ 2 = 1.75 in
I hope this helpls
Four groups must present their final projects to the class the groups are listed alphabetically from group a through group D the teacher will randomly choose a group to present their project first
Answer:
What is your question though?
Consider the following fifth-degree polynomial function, [tex]h(x)=x^{5}-16x[/tex]
Part A: find the range for the given domain {-2, 0, 1, 1 2}. The range is [Select Answer]
Part B: identify the zeros of [tex]h(x)[/tex] that are found in the above domain. The zeros are [Select Answer]
Answer:
pleASE show the choices but im thinking 49
Step-by-step explanation:
What is the y-intercept of the graph of y = 2.5%?
a. 2.5
b. 1
C. 0
d. -1
adrianna is having a party and she has 1/2 gallons of salsa she puts it evenly into 8 bowls how much salsa does she put in each bowl
Answer:
1/8 gallon
Step-by-step explanation:
1/2 × 8/1=
1/8 × 1/2=
1/16 (the whole amount)
PLEASEEE HELPP!!!!!!
Answer:
Letter D.
Step-by-step explanation:
hope it helps please mark me brainliest
Find the coordinates of the vertices of the figure formed by each system of inequalities.
y + x>-5
y>X-9
3y +x< 13
a. (2,9), (-14, 1), (10,-7)
b. (2,-7), (10, 1), (-14,9)
c. (2,7), (10, 1), (14,9)
d. (2,-7), (-20, 11), (-14,9)
Answer: B
Step-by-step explanation:
Which sum is rational?
A. 1 + 18
B. 25 + 1.75
C. V3 + 5.5
D. I+V2
Answer: B. √25 + 1.75.
Step-by-step explanation: Rational Numbers are numbers that terminate or don't need to be terminated. For example, 1/3 is a repeating number, but we can terminate the value, whereas pi is never ending, and there is no terminating with that value. Numbers like 5.56 and 7/8 are rational because they don't need to be terminated to be rational. √25 is 5, no decimals to terminate or anything, and that makes the value rational. 1.75 is also rational, and that's why equation c is fully rational. √3 and √2 can't terminate, because both are 1.73205080757 and 1.41421356237, which means that they still can't terminate. Pi cannot terminate, so that's why the answer choices with pi aren't rational.
Hope this helps! :)
7. ) Find the area of the given figure.
A) 178. 3 m2
B) 196. 5 m2
C) 250. 8 m2
D) 292. 5 m2
E) 297. 1 m2
Step-by-step explanation:
Where is the reference shape?
Cost of T-shirts 5-0-15-20-25-30-35-40 What is the minimum cost of a t-shirt?
Answer: 10
Step-by-step explanation:
Because if you look at the box plot the minimum dot/point (all the way to the left) is 10
Which of the following describe 13
Answer:
It is a rational number.
Step-by-step explanation:
since it is not a perfect square therefore it does not have an exact square root. also any number that is positive or negative, positive or zero, and can be write as a fraction
The following sentence uses which technique? If Maria had imagined for a moment that she might not like roast duck, she certainly would not have ordered it because it was the most expensive item on the restaurant’s menu. A) flashback B) foreshadowing C) predication D) foregrounding
Sampling distributions describe the distribution of:.
Answer:
A sampling distribution is a statistic that is arrived out through repeated sampling from a larger population.
It describes a range of possible outcomes that of a statistic, such as the mean or mode of some variable, as it truly exists a population.
The majority of data analyzed by researchers are actually drawn from samples, and not populations.
Step-by-step explanation:
In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. If an arbitrarily large number of samples, each involving multiple observations (data points), were separately used in order to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample, then the sampling distribution is the probability distribution of the values that the statistic takes on. In many contexts, only one sample is observed, but the sampling distribution can be found theoretically.
Hope it helps :)
PLS MARK BRAINLIEST <3
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Tori
If \cos\theta = \frac{2}{\sqrt{14}}cosθ= 14 2 and angle \thetaθ is in Quadrant I, what is the exact value of \tan 2\thetatan2θ in simplest radical form?
θ is in quadrant I, so cos(θ) and sin(θ) and hence tan(θ) are all positive.
Recall that
sec²(θ) = 1 + tan²(θ)
We have
cos(θ) = 2/√14 ⇒ sec(θ) = √14/2 = √(7/2)
Then
tan(θ) = +√(sec²(θ) - 1) = √(5/2)
Also recall the identities
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
from which we get
tan(x + y) = (sin(x) cos(y) + cos(x) sin(y)) / (cos(x) cos(y) - sin(x) sin(y))
tan(x + y) = (tan(x) + tan(y)) / (1 - tan(x) tan(y))
so that
tan(2θ) = 2 tan(θ) / (1 - tan²(θ)) = -(2√10)/3