Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answers
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
Related Questions
for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13
Answers
Answer:
We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.
If there are 15 girls and nine Boyz in an art class the ratio of girls to boys in the class as what
Answers
Answer:
5:3
Step-by-step explanation:
15:9 = 15/9 = 5/3 = 5:3
Answer:
I think 3:5
Step-by-step explanation:
what is the measure of acb
Answers
CBA = 180 - 70 (linear pair)
=110
ACB = 180- (20+110)
= 180-130 = 50
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 5
q = -5
q = 3
q = -3
q = 25
Answers
Answer:
Step-by-step explanation:
your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution
Answer: q=[tex]5\sqrt{5} , -5\sqrt{5}[/tex]
Step-by-step explanation:
the roots (zeros) are the x values where the graph intersects the x-axis. to find the roots (zeros) , replace y with 0 and solve for x.
Two machines are printing shirts. The first machine can produce 2,520 shirts in 180
minutes. The second machine can produce 1,440 shirts in 120 minutes. If the two
machines work together, how long will it take them to produce 6,500 shirts? If necessary,
round your answer to the nearest whole number.
Answers
Answer:
250Min
Step-by-step explanation:
1st machine = 2520 divided by 180min =14shirts/min
2nd machine =1440 divided by 120min =12 shirts/min
14 shirts/min +12shirts/min =26shirts/min
6500 shirts divided by 26shirts/min =250min
The answer is 250 minutes.
What is the rounding of decimals?Rounding of decimals refer to the rounding of decimals to certain accuracy. Process of rounding of decimals ; put simply , if the last digit is less than 5, round the previous digit down. However, if it is greater than 5 then round the previous digit up.
Given, The first machine can produce 2,520 shirts in 180 minutes.
So, the first machine is making 2520 / 180 = 14 shirts per minute.
And The second machine can produce 1,440 shirts in 120 minutes.
So, the second machine is making 1440 / 120 = 12 shirts per minute.
If the both machines work together then both are making 14 + 12 = 26 shirts per minute.
To take them to produce 6500 shirts , both will take 6500 / 26 = 250 minutes .
Hence the answer is 250 minutes.
To learn more about the rounding of decimals;
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Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:
Answers
Domain: x ≤ 5
Range: y ≤ -3
What do you mean by Square roots?
The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.
Is √ it a square number?The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.
Learn more about Square Roots at https://brainly.com/question/620307
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The exponent in “8n5” is:
Answers
Answer:
The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)
hi what is the answer for this please
Answers
Answer:
Step-by-step explanation:
It was reflected over the x axis
That's all I see
The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?
A. 20% of eighth-grade students preferred the seacoast
B. 32% of seventh-grade students preferred the mountains
C. 40% of students preferred the mountains
D. 48% of students preferred the seacoast
Answers
Answer:
The statement true about the results of the survey is:
D. 48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
the high temperature in Alaska in December was 30 f and the low temperature was -2 f. what is the difference between the high and low temperatures?
Answers
Answer:
the difference would be 28 degrees.
Step-by-step explanation:
The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.
Answer: The difference between the high and low temperature in the thermometer is 32°F.
Step-by-step explanation:
Given information: Highest temperature = 30°F and the lowest temperature = -2°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 30°F - (-2°F)
Difference = 30°F + 2°F
Difference = 32°F
Where is the largest element in the matrix located? a12 ON a34 a21
Answers
Answer:
a21Explanation:
I got it wrong the first two times and this is the answer it gives you.
I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use
Answers
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Answers
Please help ASAP.Will mark as brainliest.
Answers
Answer:
angle 1 and 3, and angle 2 and 4
Step-by-step explanation:
Answer:
1 and 3 AND 2 and 4
Step-by-step explanation:
Supplementary angles are angles that add up to 180, therefore we can assume that any angles that make a straight line together are supplementary. 1 and 4 do not make a straight line. 2 and 3 do not either. So we have to assume that the answer is either 1 and 3 or 2 and 4. Not sure whether you want one or two answers
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Answers
Step-by-step explanation:
so round up is b equal a plus 10....
What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS
Answers
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is
[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is
arc ED = 2 × 78° = 156° → C
Option c 156 is correct.
Angle of the arc at tangent EF = 78
Area of circle is given by the pie times square of radius.
Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So
2 ∡DEF = measure of arc ED
= 2 x 78
= 156
Thus, the measure of are ED is 156°
Learn more about circle here:
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20 POINTS !!! Write 5 true statements for this picture and then After those 5 statements add a becuase and tell why is it true
Answers
MHL is an obtuse angle, 160>90
HPK is an acute angle, 20<90
LHK is an acute angle, it looks smaller than 90
MHJ is an acute angle, it looks smaller than 90
JL intersects MK
help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3
Answers
Answer:
No solutions
Step-by-step explanation:
The 4y and the -4y will always cancel each other out. This leaves us with
-12 = 14-2
or
-12 = 12
which is never true
I will give brainliest answer
Answers
Step-by-step explanation:
inner region
A=πr^2
A=π*6^2
A=π*36cm^2
A=113.09cm^2
shaded region(outer)
A=πr^2
A=π*9^2
A=π*81cm^2
A=254.46cm^2
Area of shaded region=254.46cm^2-113.09cm^2
=141.37cm^2
Mark brianliest if my answer suit your question
Radius of the outer circle = 9cm
Area of a circle = πr²
= π×9×9
= 254.34cm²
Radius of the inner circle = 6cm
Area of a circle = πr²
= π×6×6
=113.04cm²
Therefore, area of the shaded region = 254.34-113.04
=141.30cm²
please help me !!
slope and y-intercept
*image attached
Answers
Answer:
slope = 1 and y- intercept = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line
m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The y- intercept is the y- coordinate of the point where the line crosses the y- axis.
Here the y- intercept = 4
Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
Answers
Answer:
A
Step-by-step explanation:
B,C,D are not in the pink/purplish area when you plot them on the graph
Brainliest plzDear some moderators,
read before you delete no brainers!
From, a brainly user
Answer:
A. (4,10)
Step-by-step explanation:
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction mmmmmmmmDecimal mmmmmmmmPercent
⅛ mmmmmmmmmmm0.125mmmmmmmmmm12.5%
1245/1000 mmmmmm1.245 mmmmmmmmmm124.5%
40/100mmmmmmmm.4mmmmmmmmmmmm ⅖ %
I wrote the letter m to seperate nothing other works here.
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
Answers
Step-by-step explanation:
To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.
Answer:
12.5%, 40%, 124.5%
I would appreciate if you mark me as branliest!
i need help please....
Answers
Answer:
34
Step-by-step explanation:
area = (1/2)base * height.
area= half of 17 times 4
a=8.5 x 4
a=34
Answer: C
Step-by-step explanation:
Area = 1/2 bh
Area = 1/2 x 4 x 17
= 34 sq inches
Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft
Answers
Answer:
52 feet
Step-by-step explanation:
Took the test
What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?
Answers
Answer:
6*3*4 = 24*3 = 72 in^3
Answer:
72 cubic inches
Steps:
6*3*4 = 72
Description:
So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.
Answer: 72 cubic inches
Please mark brainliest
Hope this helps.
Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.
Answers
Answer:
add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1
Step-by-step explanation:
Answer:
2+√3
2-√3
Step-by-step explanation:
4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3Roots are irrational
James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10
Answers
Answer:
A 5'10
Step-by-step explanation:
You have to put the heights in order from least to greatest
5'7, 5'9, 5'10, 5'10, 6'0, 6'0
The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two
5'10 + 5'10 = 11'8
11'8 ÷ 2 = 5'10
Twice a certain number is tripled. The resulting number is _____. 2x + 3 2x - 3 (2x)3 (2x)
Answers
Answer:
(2x)3
Step-by-step explanation:
Twice a certain number is tripled. Use x as the unknown number and double it.
2x
Now triple the whole answer
(2x)3
Answer:
[tex](2x)3[/tex]
Step-by-step explanation:
Let's say [tex]x[/tex] is the number.
Our answer would be:
[tex]2x*3[/tex] or [tex](2x)3[/tex]
You can assign [tex]x[/tex] a value and it will get you double the number, then triple of that number.
Sorry if it seems like I'm copying the other person.
What is 12-12 if it’s not 0?
Answers
Answer:
it will still be zero
Step-by-step explanation:
12-12 = 0
Jorge bought a watch on sale for 25% off the original price and another 75% off the discounted price. If the watch originally costs $64, what was the final sale price that Jorge paid for the watch?
Answers
Answer:
12
Step-by-step explanation:
