Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get
[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]
[tex]A=14000\left(1+0.05\right)^{22}[/tex]
[tex]A=14000\left(1.05\right)^{22}[/tex]
[tex]A\approx 40953.65[/tex]
Therefore, the accumulated value of the given investment is $40953.65.
Answer:
A = $41,867.06
A = P + I where
P (principal) = $14,000.00
I (interest) = $27,867.06
Step-by-step explanation:
Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year
To find: The accumulated value of an investment
Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]
Solution: First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 14,000.00(1 + 0.1/12)(12)(11)
A = 14,000.00(1 + 0.008333333)(132)
A = $41,867.06
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer:
where's the question???
Step-by-step explanation:
Step-by-step explanation:
Volume of cylinder=πr²h
Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2
Answer:
1/2 ab sinC =1/2(5.5×12)sin33 = 17.97
Step-by-step explanation:
Put the numbers in the equation ,a calculator will be better.
The area of the triangle is 18.0cm².
What is the sine rule for the area of the triangle?The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.
Area= Δ= (1/2)*a*b*sinC
where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.
Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.
The angle between the sides is 33°.
Then using the sine rule for the area of the triangle
The area of the triangle= (1/2)*a*b*sinC
=(1/2)*12*5.5*sin 33°
=17.97≅ 18.0 cm²
Therefore the area of the triangle is 18.0cm².
Learn more about the sine rule
here: https://brainly.com/question/27174058
#SPJ2
In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?
Answer:
A is your correct answer.
1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.
Step-by-step explanation:
Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.
Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.
Please let me know if you have questions about this.
I need help please ????!!!
What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)
Answer:
b
Step-by-step explanation:
PLSSSS HELP AND NOOOO LINKS OR SPAMMERS!!!! Write the equation of the line for the graph shown below.
There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.
1: 1
3: 4
5: 9
7: 16
sorry if this doesn't make sense if it does i hope it helped:)
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph
Answer:
It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.
Step-by-step explanation:
Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:
27 - (4 + 5) = 27 - 9 = 18
27 - (4 + 5) x 3 = 0
Therefore, it took 3 hours for the two to meet.
4 x 3 = 12
Thus, they were 12 miles from Joseph's home when they met.
kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score
decimal
Answer:
8.0
Step-by-step explanation:
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium
Answer:
mean:-3
median:5
mode: all values appeared once
range:169
Step-by-step explanation:
The value of X (click photo)
Answer:
20°
Step-by-step explanation:
;b
Answer:
x=40
Step-by-step explanation:
The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).
<RTS=(1/2)(mQP-mRS)
(x/2)=(1/2)((x+70)-(x+30))
x=x+70-x-30
x=40
Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???
Answer:
okay maybe try alliteration...
Enter the phrase as an algebraic expression.
the product of 38 and g
Answer:
38g
Step-by-step explanation:
Product means multiplication so:
The product of 38 and g is 38g
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?
Answer:
I sont know
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
since 5 is half of 10, 4 is half of 8.
Solve the following equation: 8x + 6 + 3x - 4
Please hurry.
Answer:
A
Step-by-step explanation:
x = -2
Answer:
x=-2
Step-by-step explanation:
I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments
But yeah
If that helps, plz mark brainiest, i'm almost leveled up :3
Thanks!
24 to the second power divided by 47
Answer:
[tex]\frac{576}{47}[/tex]
Step-by-step explanation:
[tex]24^{2} = 576[/tex], since 47 is a prime number and 576 isn't divisible by it, [tex]\frac{576}{47}[/tex] would be the best answer.
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches
Answer:
D. 16 in²Steps:
given:
V = 32 in³
h = 2
Ab = V/h
Ab = 32/2
Ab = 16 in²
Answer:
D. 16 square inches
Step-by-step explanation:
Hope this helps
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
Which term could be put into the blank to create a fully simplified polynomial written in standard form
Answer:
[tex]x^{2} y^{2}[/tex]
Step-by-step explanation:
If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?
Answer:
93.75 miles if im not mistaken
Step-by-step explanation:
because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.
Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?
Answer:
0.75 or 3/4 sheet of paper
Answer:
3/4 of each sheet
Step-by-step explanation:
You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.
help please , i need it asap ! ty
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
Answers please and explain
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
