Answer:
16,755.63
Step-by-step explanation:
I'm going to assume that there are 52 weeks in a year
Compound interest formula:
[tex]PV(1+\frac{i}{n})^{n*t}\\5000(1+\frac{.0605}{52})^{52*20}\\5000(1.001163462)^{1040}\\16755.63406[/tex]
which i wwill round to
16755.63
The amount in the retirement account is A = $ 16,755.63
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.05 %
The number of times the interest is applied = weekly
The principal amount P = $ 5,000
Now , the number of years = 20 years
And , A = P ( 1 + r/n )ⁿᵇ
On simplifying , we get
A = 5,000.00(1 + 0.0605/52)⁵²ˣ²⁰
A = 5,000.00(1 + 0.0011634615384615)¹⁰⁴⁰
A = $ 16,755.63
Hence , the amount is A = $ 16,755.63
To learn more about compound interest click :
https://brainly.com/question/21270833
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Find the valué of x round yo the nearest tenth
Answer:
[tex]x = \cos(42) \times 14 \\ x =(10.40402755668)[/tex]
Exercise 18
what's 0.4 ÷ 4 =
Answer:
0.1
Step-by-step explanation:
Answer:
0.4 ÷ 4 = 0.1
Explanation:
at which value of x does the function have a jump discontinuity 50 Points !!!! dang I don't need answer file
Answer:
b
Step-by-step explanation:
there's 2 open point lying on x equals 0
Please help. What is the answer? I’m struggling.
Answer:
10
10
15
15
total50
Step-by-step explanation:
PLEASE HELP! DUE AT 11:59 PST
Amanda earns $30 per week for her allowance, plus $15 dollars per hour babysitting. She wants to earn at least $150 each week.?
Write a function F(h) to represent the situation.
How many hours must Amanda babysit each week?
Answer:
Y = 15x + 30 and 8 hours
Step-by-step explanation:
She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.
She gets a solid $30 every week that is straight forward
To solve the function
150 = 15x + 30
subtract 30 from both sides
120 = 15x
divide 15 from both sides
8 = x
or
x = 8
You got this :)
hey! please help i’ll give brainliest
Answer:
Family - son
Step-by-step explanation:
I think that is the answer
Which model BEST represents each of the following scenario:
You deposit $500 into a bank account that pays 3% interest compounded annually.
Which of the following statements regarding low interest rates is true? a. They encourage investors to search for investments like Treasury bills. b. They encourage the substitution of equity by debt. They encourage investors to search for stocks paying high dividends. d.
A door sign has a length of 5 inches and an area of 8 1/8 square inches. Find the unknown width.
Answer:
1.625
Step-by-step explanation:
8 1/8 is also known as 8.125
Divide
8 1/8 by 5 inches which gives you an answer of 1.625
You are preparing for a breakfast party and enough milk for 20 people. Each person will drink about 200 mL of milk. Which is the best estimation of a amount of milk you should prepare: 400 mL or 4 L? Why?
Answer:
4 l
the total ml of milk for 20 people is 4000ml and not 400 ml. 4000ml converted to litres is 4l
Step-by-step explanation:
total amount of milk for 20 people = 200 x 20 = 4000ml
1000 ml = 1 liter
4000ml /1000 = 4 l
Find the width of a cereal box that has a volume of 5,440 cm3 and is 34 cm long and 20 cm high.
Answer:
8 cm wide.
Step-by-step explanation:
5440/34/20=8 .
PLEASE HELP ME ON MY FIRST QUESTION!, SHOW WORK PLEASE!!
Answer:
Solution given:
radius [r]=2cm
height [h]=8cm
total surface area of cylinder=?
we have
total surface area of cylinder=2πr²+2πrh
2πr(r+h)2π*2(2+8)40π or 125.66cm²total surface area of cylinder40π or 125.66cm².
Find the surface area of the cylinder.
___________________Solution :-Given Information :-Radius of the Cylinder ➢ 2 cmHeight of the Cylinder ➢ 8 cm Value of π (pi) (not given) ➢ 3.14To Find :-Surface Area of the CylinderFormula Used :-Area of cylinder = 2πr( r + h ) Calculation :-Substituting the values given in the formula, We get,
⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )
⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )
⇒ Area of cylinder = 2 × 3.14 × 20
Calculating further, We get,
⇒ Area of cylinder = 125.66 cm²
___________________Final Answer :- Area of cylinder = 125.66 cm²____________________jocelyn has a sample space s= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20} she creates the following subsets a= { 2,6,8,8,10,18} b = { 2,8,10,14,18,20} use the information above to find the complement of the union of a and b
Answer:
{aUb}' = {4, 12, 16}
Step-by-step explanation:
GIven S= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20}
a= { 2,6,8,8,10,18}
b = { 2,8,10,14,18,20}
Required
(aUb)'
aUb = {2, 6, 8, 10, 14, 18, 20}
{aUb}' are values of the set S that are not in aUb. The required values are;
{aUb}' = {4, 12, 16}
On a ship the ratio of crew members to passengers is 1:15. There are 540 passengers. How many crew members are there?
Answer: 36
Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540
Answer:
36 Crew members
Step-by-step explanation:
Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.
Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.
Double checking your answer:1/15=0.06666666667...
36/540=0.06666666667...
There's probably other ways to solve this, this is just how I did it.
hello please help i’ll give brainliest
NEED HELP ASAP!
USE SUBSTITUTION TO GET THE (X, Y)
THANKS!
Step-by-step explanation:
[tex]\huge\mathcal\pink{here \: is \: your \: solution..} \\ \\ equation = > y = - 8x - 49 \\ \\ = > y = - x \\ \\ put \: the \: value \: of \: y \: in \: equation \\ \\ - x = - 8x - 49 \\ \\ - x + 8x = 49 \\ \\ 7x = 49 \\ \\ x = 49 \div 7 \\ \\ x = 7 \\ \\ now \: \: \: y = - 7 \\ \\ \huge\mathfrak\green{hope \: it \: helps.} \\[/tex]
Que es la desviación estándar?
will Mark branliest! :)
(At the end it says round the the nearest tenth) thank you!
Answer:
B
Step-by-step explanation:
20 x 15 is 450 and add it to the semi circle which us 88.4
Hope this helps u :D
Answer:
538,3m^2
Step-by-step explanation:
first of all, I find it really disturbing to use 3,14 as pi but I'll try my best.
1) Determine the area of the rectangle;
h.b= area of a rectangle
so here
15m.30m = 450 m^2
the area of the circle = pi.r^2
so here
7,5m^2.3,14 = 176,625m^2
but we only need the half of it so 176,625m^2/2 = 88,3125m^2 ~ 88,3m^2
then we must sum them all up;
88,3m^2 + 450m^2 = 538,3m^2
which is the pattern for factoring the sum of cubes
Answer:
4th option
Step-by-step explanation:
The factors of a³ + b³ are
a³ + b³ = (a + b)(a² - ab + b² )
Answer:
4th option
Step-by-step explanation:
What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. O A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community.
Answer:
1. A director wants to know what his singers do before a performance. - Survey
2. A director wants to know who his best soprano is. - Observational Study
3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study
4. A director wants to know what musical is the most popular in the community. - Survey
Step-by-step explanation:
I just took the same quiz :)
Someone help me with this pls
Answer:
z²¹ is the correct answer dude
Answer:
z²¹ would be your answer. hope this helped!!!!
Step-by-step explanation:
Ximena reads for 15 minutes after school. She reads x more minutes after diner. Enter an equation that represents the total number of minutes,y, that ximena read
Which point on the number line represents - 2/3?
A. Point Q
B. Point P
C. Points
D. Point R
I need answers quick. ASAP. HELP.
8 . 6(12-4) dividedby 2
Answer:24
Step-by-step explanation:6 x 8 = 48 divied by 2 = 24
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex] \frac{6(12 - 4)}{2} \\ = \frac{6(8)}{2} \\ = \frac{48}{2} \\ = 24[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.
Answer:
[tex]y = -x + 115[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The equation of best fit
First, we pick two corresponding points on the graph,
We have:
[tex](x_1,y_1) =(55,60)[/tex]
[tex](x_2,y_2) =(45,70)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{70 - 60}{45 - 55}[/tex]
[tex]m = \frac{10}{-10}[/tex]
[tex]m = -1[/tex]
The equation is the calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -1(x - 55) + 60[/tex]
Open bracket
[tex]y = -x + 55 + 60[/tex]
[tex]y = -x + 115[/tex]
Rex paid $250 in taxes to the school district that he lives in this year. This year's taxes were a 12% increase from last year. What did Rex pay in school taxes last year?
Answer:
$223.21
Step-by-step explanation:
Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.
This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.
112% of x = 250
1.12x = 250
x = 250/1.12
x = 223.21
Answer: $223.21
what is 25% of 50 pls help
Answer:
12.5 is your answer buddy
Answer:
Step-by-step explanation:
So, lets think of this a simpler way.
What is 1/2 of 50?
Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.
So lets divide the 25 we got in half:
25/2
=
12.5
So this is your answer!
Hope this helps!
Need to find the value of N. need ASAP due to it being a hand in
Answer:
n=11
Step-by-step explanation:
This is a right angle, so the angles are complementary and have a sum of 90°.
[tex]4n-8+5n-1=90[/tex]
[tex]9n-9=90[/tex]
[tex]9n=99[/tex]
[tex]n=11[/tex]
a zoologist hides in a bush 200 feet away from a tree inhabited by a family of monkeys. if the zoologist is looking up at an angle.of 15°, how high in the tree ate monkeys?
Answer:
[tex] \displaystyle 53.6ft[/tex]
Step-by-step explanation:
refer the attachment
let the height be h
since we are given the adjacent side and want to figure out opposite side we'll use tan function
so our equation is
[tex] \displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200} [/tex]
cross multiplication:
[tex] \displaystyle h = 200\tan( {15}^{ \circ} ) [/tex]
by using calculator we acquire:
[tex] \displaystyle h \approx 53.6ft[/tex]
hence,
about 53.6ft high in the tree ate monkeys
The number of shirts and shorts you can buy with $30 is represented by the equation 10x+5y=30. Write the equation in function form.
Answer:
f(x) = -2x+6
Step-by-step explanation:
Given the equation 10x+5y=30, in order to write as a function form, we need to make y the subject of the formula from the given function as shown;
10x+5y=30
Subtract 10x from both sides
10x+5y - 10x= - 10x+30
5y = -10x + 30
Divide through by 5
5y/5 = -10x/5 + 30/5
y = -2x + 6
Hence the required equation in function form is f(x) = -2x+6