Answer: The accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = $ 12828.54
Step-by-step explanation:
Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:
[tex]A=P(1+r)^t[/tex]
As per given , we have
P = $4,000
r= 6% = 0.06
Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]
The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]
[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]
Hence, the accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]
[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]
Hence, the accumulated amount after 20 years = $ 12828.54
Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively
Using the compound interest formula :
[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = timeAfter 5 years :
[tex] A = 4000(1 + 0.06)^{5} [/tex]
Amount after 5 years = $5325.90
After 20 years :
[tex] A = 4000(1 + 0.06)^{20}[/tex]
Amount after 5 years = $12828.54
Hence, the amount accumulated after 20 years will be $12828.54
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A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.
Answer:
area of the kitchen
Step-by-step explanation:
in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m
Area of the bedroom is A=4*7.2=28.8 m^2
Area of the kitchen is 300.000 cm^2=30 m^2
30>28.8
The bigger area is area of the kitchen
The bigger area between bedroom and kitchen is kitchen which is 30 m^2
What is area?Area can be find of l length and b breadth sides is
Area = l b
How to find area?Here the scale of bedroom is given that is 1 : 40
If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are
l = 10x40 = 400 cm = 4 m
b = 18x40 = 720 cm = 7.2 m
Therefore the area will be
Area of bedroom = 4x7.2 = 28.8 m^2
And we have given
Area of the kitchen = 300,000 cm^2
Convert into m^2 we have
Area of the kitchen = 30 m^2
This shows the area of the kitchen is bigger than the area of the bedroom
This is the conclusion to the answer.
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Help me out with this question
Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.
6 / 2 = 3
Have a good day/night!
Answer:
[tex]2/6=1/3[/tex]
what is the answer to -2x- x +8
Answer:
[tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
I don't know if this has an =0 at the end, but I assume it does.
This is how you would work it out:
[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]
Expand & simplify: (x + 1)(x + 3)
Answer:
368
Step-by-step explanation:
Answer:
x squared+ 4x + 4
Step-by-step explanation:
Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?
a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x
Answer:
400
Step-by-step explanation:
5=4=78+400
Answer: f(x)=400(1.1)^x
Step-by-step explanation:
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
I need help with this question
Answer:
15
[tex] \\ [/tex]
Step-by-step explanation:
[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]
Answer:
the missing side of the triangle is of length 15
Step-by-step explanation:
This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).
We can then find the length of the hypotenuse applying the square root on both sides:
[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]
If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.
Answer:
B ) x³ -7 x² -49 x +343
(f .g) (x) = x³ -7 x² -49 x +343
Step-by-step explanation:
Explanation:-
Given f(x) = 49 - x² and g(x) = 7-x
(f .g) (x) = f(x) .g(x)
(f .g) (x) = ( 49 - x² ) (7-x)
= 49 ((7-x))- x²(7-x)
= 343 -49 x -7 x² + x³
(f .g) (x) = x³ -7 x² -49 x +343
Conclusion:-
(f .g) (x) = x³ -7 x² -49 x +343
Does anyone know this answer
Answer:
D. 71.61 ft
Step-by-step explanation:
A=pi*r^2
408.3=pi*r^2
solve for r
r=11.4 ft
C=2*pi*r
C=2*pi*11.4=71.61 ft
Subtract -5/8 -(-1/4)
plzz answer now!
Answer: -5/18 - (-1/4) = -1/36
Step by step:
To subtract, find the LCD and then combine
So this is your answer,
-1/36
PLEASEEEEEEEEEEEEEEEEEEEEEE URGENT HELP I HAVE NO IDEA!LIKE ALWAYS I WILL MARK CORRECT ANSWER AS BRAINLIEST!
PLEASEEEEE CHECK MY OTHER QUESTION AS WELL AFTER THIS ONE THANK YOU I WOULD REALLY APPRECIATE IT!!!!
HORIZONTAL Options: (a) 2 units left. (b)2 units right. (c)1 unit left. (d)1 unit right.
VERTICAL TRANSLATION of OPTIONS: (a) 2 units up (b) 2 units down (c) 1 unit up (d) 1 unit down
30 POINTS EVERYONE AND BRAILIEST IF IT IS CORRECT PLS AND THANK YOU
Answer:
Vertical: 2 units down
Horizontal: 1 unit left
Step-by-step explanation:
X +/- numbers: means it will go up or down
If its parentheses then it is the opposite
If X || Y and Y || Z, then ____
Answer:
If X || Y and Y || Z, then X_|| Z___
Step-by-step explanation:
This is transitive property
A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer:
They Played 15 games total
Step-by-step explanation:
Make ratios:
9:60 %
x:100 %
Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900
Divide to get x: 60x/60=900/60
x=15
They Played 15 games total
Please mark brainliest and have a awesome day
Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72
Corrected Question
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
[tex]P(A \cup B) =0.72[/tex] (Proved)
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Let the event that she catches the bus to the shop=A
Let the event that she catches the bus from the shop=B
P(A)=0.4
P(B)=0.7
Both A and B are independent events.
Therefore,Probability that she catches the bus to and from the shop:
P(A∩B) = 0.4 X 0.7= 0.28
Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]
[tex]= 1 - 0.28\\= 0.72[/tex]
Hence, the probability that Sue walks at least one way is 0.72.
please help me i really need help i dont understand
write an inequality for the folowing statement :
The sum of triple a number x and eight is atleast a number y.
Inequality : ___________
Cupcakes cost $2.00 each. Ballons cost $1.25 each. Her bill was no less than $25.00.Write an inequality that could be used to find n, the greatest possible number of cupcakes, and m, the greatest possible number of ballons , she bought. Inequality:____________
Answer:
Step-by-step explanation:
First problem: 3x + 8 ≥ y
Second problem: Represent the number of cupcakes with n and that of balloons by m. Then ($2/cupcake)(n) + ($1.25/balloon)(m) ≥ $25
Jun-seo notices that there are 13 right-handed players on his baseball team and 2 left-handed players. What is the ratio of right-handed players to left-handed players?
Answer:
The ratio of right handed to left handed players is 13 to 2
Step-by-step explanation:
Here in this question, we are asked to give the ratio of right handed to left handed players.
To give this ratio, we shall need to know the numbers of right handed players and left handed players.
From the question, we can see that there are 13 right handed and 2 left handed players.
Thus, the ratio of right handed to left handed players is 13:2
yuhh get in too ittt
Answer:
A
Step-by-step explanation:
16x-16=4y
4(4x-4)=4y
y=4x-4
Therefore, the correct answer is choice A. Hope this helps!
Answer:
16x-16=4(4x-4)
Step-by-step explanation:
16x-16=4(4x-4)
4(4x)=16x
4(-4)=-16
10q - 30 is equivalent to?
Answer:
So in this question im guessing you simplify with parenthesis
Since its too easy, I cant really explain, but heres the answer:
(q+3)*10
Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?
Answer:
I believe the answer is four there is twice as many horses so you would double the amount of original goats.
The number of goats that went with 6 pigs and 10 horses is; 4 goats.
Let the number of horses be h.
Let the number of pigs be p
Let the number of goats be g.
We are told that horses vary directly as goats.
Thus;
h ∝ g
Thus; h = k1g - --(eq 1)
Also, we are told that horses varies inversely as pigs squared.
Thus;
h ∝ 1/p²
h = k2/p² - - - (eq 2)
Where k1 and k2 are constant of proportionality.
When there are 5 horses there are 2 goats. Thus;
5 = 2k1
k1 = 5/2
k1 = 2.5
When there are 10 horses, we will have;
10 = 2.5g
g = 10/2.5
g = 4
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A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
Step-by-step explanation:
Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:
[tex]V=72300e^{(.071)(19)}[/tex] and
[tex]V=72300e^{1.349[/tex] and
V = 72300(3.853570033) so
V = $278,613.11
A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.
Answer:
If he got 9 out of 15 correct, he got 6 problems incorrect.
6/15 is incorrect
6/15 × 100
40 % is your answer
Answer:
40% are incorrect
Step-by-step explanation:
If 9 are correct then 15-9 = 6
6 are incorrect
6/15 = 2/5
Change to a percent
2/5 *20/20 = 40/100
Percent means out of 100
40% are incorrect
50 km into centimeter
Answer:
5,000,000 cm
Step-by-step explanation:
1 km=100000cm
we just multiply 50km x 100000,which we get 5 million cm
Answer:
5 000 000 cm
Step-by-step explanation:
1km = 1000 m (meter)
1m = 100 cm
then
1km = 1000×100 cm
= 100 000
then
50km = 50×100 000
= 5 000 000
What is the perimeter of the triangle?
Answer:
P = 36 units
Step-by-step explanation:
Pythagoras
ip = √(12² + 9²)
= √(144 + 81)
= √225
= √15²
= 15 units
P = 9units + 12units + 15units = 36 units
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°
Answer:
To find angle x we must first find y
For angle y
Angles on a straight line add up to 180°
56 + 51 + y = 180
y = 180 - 56 -51
y = 73°
Now for angle x
Angles in a triangle add up to 180°
y + x + 72 = 180
y = 73°
73 + x + 72 = 180
x = 180 - 73 -72
x = 35°
Therefore angle x is 35°
Hope this helps.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=47°
Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6
Answer:
6 x^3
Step-by-step explanation:
3x(2x^2).
3*2 = 6
x * x^2 = x^3
6 x^3
Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekon
received $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin did
Ekon get?
(Solve using systems of linear equation)
Answer:
8 nickels and 18 dimes
Step-by-step explanation:
Make a system of equations:
n + d = 26
5n +10d = 220
Solve by elimination by multiplying the top equation by -5. This gives you:
-5n -5d = -130
5n +10d = 220
Then solve to get 5d= 90, then d= 18.
Then plug 18 for d in the equation n + d= 26, so n + 18= 26
n= 8
What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
answers
_______________________________
Hey!!
Solution,
cost of 120 ounce of coffee= $9.60
cost of an ounce of coffee= 9.60/120
=$ 0.08
Hope it helps
Good luck on your assignment
_____________________________
Answer:
So for an estimation my answer would be 0.08
Step-by-step explanation:
Do 9.60 divided by 120.
Hope this helps, have a good day! :)
(Picture of formula and work below)
which 3 sticks should he use (there’s a picture of the problem)
Answer:
The answer is number three
Step-by-step explanation:
I know this because the formula for pythageon theorm is. (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10
then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.
What effect will 4 have on the graph of y = sin(x)?
Answer:
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Step-by-step explanation:
The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]
The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.