After 17 years, Serenity has $778 more than Avery
The formula for calculating the compound amount is expressed according to the formula;
[tex]A=P(1+\frac{r}{n} )^{nt}\\[/tex]
For Avery;
P = $3,800
rate = 5 1/2 % = 0.055
time = 17 years
n = 12 (monthly compounding)
Substitute into the formula to have:
[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]
Hence the amount that will be in Avery's account after 17years is $9,652
For Serenity;
P = $3,800
rate = 6 1/8 % = 0.06125
time = 17 years
n = 1 (continuous compounding)
Substitute into the formula to have:
[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]
Hence the amount that will be in Serenity's account after 17years is $10,430.
Amount Serenity have more than Avery = $10,430 - $9652 = $778
Learn more on compound amount here: https://brainly.com/question/18442810
Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π
A)62.8
B)31.4
C)None of these answers
D)1,256
E)314
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
Sangay runs 2/3 hours each day. how many hours does he run in two weeks?
Answer:
Step-by-step explanation:
2/3 x 14 = 28/3 = 9 1/3 hours in two weeks
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.
Answer:
It's volume is of 84.78 cubic inches.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder with radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
A cylinder has a height of 12 inches and a radius of 1.5 inches.
This means that [tex]h = 12, r = 1.5[/tex]
What is its volume?
[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]
It's volume is of 84.78 cubic inches.
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
find the missing angles
Answer:
[tex] {b}^{o} = {118}^{o} [/tex]
Step-by-step explanation:
Hint :
Sum of angles = 180°
Simplify :
[tex] {29}^{o} + {33}^{o} + {b}^{o} = {180}^{o} [/tex]
[tex] {62}^{o} + {b}^{o} = 180^{o} [/tex]
[tex] { b}^{o } = {180}^{o} - {62}^{o} [/tex]
[tex] {b}^{o} = {118}^{o} [/tex]
Hope it is helpful....i need help please!!!!!!
Answer:
THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK
Answer:
Step-by-step explanation:
Choose the graphs that indicate equations with no solution
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?
Will mark brainliest! Problem is in pic below, no links please. Give explanation. Thanks.
Answer:
2^12
Step-by-step explanation:
answer is in photo above
Solve the equation x - 15 = 42.
X=______
Answer:
[tex]x - 15 = 42 \\ x = 57[/tex]
Answer:
x = 57
Step-by-step explanation:
x - 15 = 42.
Add 15 to each side
x - 15+15 = 42+15
x = 57
What is the value of y?
Answer:
The answer is C (46)
Step-by-step explanation:
Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.
When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)
Answer:
d. (x - 1)(2x + 3)(3x - 4)
Step-by-step explanation:
6x³ - 5x² - 13x + 12
6x³ + x² - 12x - 6x² - x + 12
x(6x² + x - 12) - 1(6x² + x - 12)
(x - 1)(6x² + x - 12)
(x - 1)(6x² + 9x - 8x - 12)
(x - 1)(3x(2x + 3) - 4(2x + 3))
(x - 1)(2x - 3)(3x - 4)
Answer:
( x - 1 )( 2x + 3 )( 3x - 4 )
Step-by-step explanation:
Hope this helps!
If my house is 7 miles away from the store. And the average human walks at 5 mph.
Why has it taken my dad 18 years to get milk?
Answer:
My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.
Please mark as Brainliest
Hope this Helps
jessica has at least 20 pairs of shoes in her closet
#6
A. 1/25
B. 2/45
C.1/5
D. 1/18
(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)
69
Step-by-step explanation:
angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom
180 - 111 = 69
Answer:
The answer will be 69
This is because angle 3 would also be 111
Angles in a quadrilateral add up to 360
So, 360-(111+111)
=138
there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.
Hope this helps!!
if you get this right i’ll give the brainliest answer
Answer:
[tex]c=108.17[/tex]
Step-by-step explanation:
Use Pythagoras theorem to find the hypotenuse:
[tex]c^{2} =a^{2} +b^{2}[/tex]
In this question, take "b" as 90' and "a" as 60'
[tex]c^{2} =60^{2} +90^{2}[/tex]
[tex]c^{2} =3600+8100[/tex]
[tex]c^{2} =11700[/tex]
[tex]c=\sqrt{11700}[/tex]
[tex]c=108.1665383[/tex]
[tex]c=108.17[/tex]
I hope this helps.....
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
------------------------------
I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
Need assistance in processing this equation?
if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. x-3
B. 5x-3
C. 5x-1
D. 3-x
Answer:
A. x-3
Step-by-step explanation:
f(x)=3x-2 and g(x)=2x+1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
(f-g)(x) = 3x-2 - 2x-1
Combine like terms
= x -3
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.
Answer:
Let the angle is x.
We have:
tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°Since 9.5° > 8.5° it is not acceptable.
If the angle is 8.5° and the height is x, then we have:
tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ftThe height is at most 13.45 ft
what's nine plus ten
Answer:
21Step-by-step explanation:
2Kewl4U!but the actual answer is 19Answer:
Hi, it's 19
Step-by-step explanation:
9+10=19 or 10+9=19
What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?
Answer:
y= x2 + 8x - 1 is y=(x+4) 2-17
Step-by-step explanation:
First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.
Next , find c - b2 to find the value you added at the end
y= (x- b2) 2 + c - b2
y= (x+4) 2 - 17
why is the expiry date necessary
Answer:
Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.
Step-by-step explanation:
Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty
Answer:
0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.
Step-by-step explanation:
For each telephone, there are only two possible outcomes. Either they are replaced under warranty, or they are not. The probability of a telephone being replaced under warranty is independent of any other telephone, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of those, 40% are replaced.
This means that [tex]p = 0.2*0.4 = 0.08[/tex]
Company purchases ten of these telephones.
This means that [tex]n = 10[/tex]
What is the probability that exactly four will end up being replaced under warranty?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{10,4}.(0.08)^{4}.(0.92)^{6} = 0.0052[/tex]
0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.
the sum of three numbers is 59. the second number is less than the first. the third number is 2 times the first. what are the numbers?
Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?
Answer: Keisha can run faster than Stephan.
Step-by-step explanation:
Let's figure out how long it takes for them to run a mile.
[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]
It would take Stephan 5.25 minutes to run a mile
[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]
It would take Keisha 4.52 minutes to run a mile
Since Keisha takes less time to run a mile she is faster.
Answer:
Keisha can run faster
Step-by-step explanation:
Stephan can run
3 miles in 15.75 min.
so divide 15.75 by 3 min which would give you:
5.25 mi.
Now Keisha can run
5 miles in226 min
now divide 22.6 by 5 min which would give you
4.52 min
so that means Stephan can run faster then Keisha since 4.52<5.25
Keisha can run faster, since 4.52<5.25
Find the area of the figure shown
Area = ------- square yards
Answer:
70
Step-by-step explanation:
area = l×w×h
area= l×h
2l×2h
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Don't guess please.
Simplify: [3(2a)^3/2]^2
A: 24a^3
B: 34^4√2a^9
C: 216a^3
D: 72a^3
Answer:
the answer is A........