Answer:
A. $99,195.055
B. $72,000
C. $27,195.055
Step-by-step explanation:
A. Calculation for How much will you have in the account in 30 years
Using future annuity formula
Future value=[Deposit amount* (1+Interest rate^n-1)/Interest rate]
Let plug in the formula
Where,
Deposit amount=$200
Number of days=30*12=360
Interest rate=0.02/12=0.0017
Let plug in the formula
Future value=[$200*(1+0.0017^360-1)/0.0/17]
Future value=[$200*(1+0.0017^360-1)/0.0/17]
Future value=[$200*(1.0017^360-1)/0.0/17]
Future value=$99,195.055
Therefore the amount you will have in the account in 30 years will be $99,195.055
B. Calculation for How much total money will you put into the account
Using this formula
Total money=Deposit amount*Number of days
Let plug in the formula
Total money=$200*360 days
Total money=$72,000
Therefore the total money you will put into the account is $72,000
C. Calculation for How much total interest will you earn
Total Interest=$99,195.055-$72,000
Total Interest=$27,195.055
Therefore the total Interest you will earn is $27,195.055
a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?
In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.
Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?
15°
29°
32°
45°
Answer:
b. 29°
Step-by-step explanation:
In the given diagram, the smallest angle in the diagram is ∠FLG = 29°.
What is an angle?When to lines are meeting at a point, then the geometrical figure is formed called an angle.
Given, four lines extend from point L.
They are lines LF, LG, LH, and LI.
∠FLI = 106°, ∠FLG = (2x - 1)°, ∠GLH = (x + 17)°, ∠HLI = (4x - 15)°
Here, ∠FLI = ∠FLG + ∠GLH + ∠HLI
106° = (2x - 1)° + (x + 17)° + (4x - 15)°
⇒ (2x - 1)° + (x + 17)° + (4x - 15)° = 106°
⇒ (7x + 1)° = 106°
⇒ 7x = 105
⇒ x = 15
Now, ∠FLG = (2x - 1)° = (2 × 15 - 1)° = 29°
GLH = (x + 17)° = (15 + 17)° = 32°
∠HLI = (4x - 15)° = (4 × 15 - 15)° = 45°
Therefore, the smallest angle in the diagram is ∠FLG = 29°.
Learn more about an angle here:
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A two-word phrase used to show division in a problem that starts with oc
Answer:
Out of
Step-by-step explanation:
A two-word phrase used to show division in a word problem.
Out of is a two-word phrase which is used to show division in a word problem.
Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)
A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers
Answer:
9/50
Step-by-step explanation:
There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:
Probability = number of favorable outcomes /total number of outcomes
Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50
if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]
Answer:
hlo buddy
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.
Answer:
24 i can be rong
Step-by-step explanation:
If x - 5 = 2, then find the
value of 6x - 20?
Answer:
22Step-by-step explanation:
[tex]x-5=2\qquad|\text{add 5 to both sides}\\\\x-5+5=2+5\\\\x=7\\\\\text{Substitute to}\ 6x-20:\\\\6\cdot7-20=42-20=22[/tex]
Does anyone know this? Please and ty! This is worth 15 points but please don’t take advantage :(
Answer:
A
Step-by-step explanation:
If you were to dilate a point by a scale factor of 2, then if you have the point (-4,0), both the x value and the y value would be multiplied by 2, giving a coordinate of (-8,0). If you do this to the other point, you get (0,4).
Now graph it out, and you get a parallel line that is not right on top, eliminating answer B. It's not C because it is parallel, not intersecting. And it's not D because they are related, they're parallel.
Hope this helps!
What do you call a cow with no legs?
BRAINLIEST IF YOU CAN TELL ME WHO THE GOAT IN BASKETBALL IS
15 POINTS
Answer:
a burger
Step-by-step explanation:
because the cow is made into a burger lol
Plz help me I need this in less than a hour :<
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
Whats the answer to 4x-5=2-x asap
Answer:
x=1.4
Step-by-step explanation:
What is the common factors of 9 and 67
Please don't google it
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
9 1, 3 9
67 1 and 67
so just enjoy ur day and have a great Christmas and new year
Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist
Answer:
Solved only ticked ones
4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356Answer:
use the formula:
[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]
1) 4a² + 49b²
= 2²a² + 7²b²
= (2a)² + (7b)²
based on the formula above, a = 2a and b = 7b
= ( 2a + 7b )² - 2(2a)(7b)
substitute 2a+7b = 11 into the equation
= 11² - 2( 14ab )
= 121 - 28ab
substitute ab = 2 into the equation
= 121 - 28(2)
= 121 - 56
= 65
2) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
based on the formula, a = 2x and b = 3y
= ( 2x + 3y )² - 2(2x)(3y)
substitute 2x+3y = 12 into the equation
= 12² - 2(2x)(3y)
= 144 -2(6xy)
= 144 - 12xy
substitute xy = 6 into the equation
= 144 - 12(6)
= 144 - 72
= 72
3) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
= (2x)² - (-3y)²
based on the formula, a=2x and b=-3y
= ( 2x-3y )²- 2(2x)(-3y)
substitute 2x-3y = 2 into the equation
= (2)² - 2(2x)(-3y)
= 4 - 2( -6xy )
= 4 + 12xy
substitute xy = 8 into the equation
= 4 + 12(8)
= 4 + 96
= 100
4) 16x² + 25y²
= 4²x² + 5²y²
= (4x)² + (5y)²
= (4x)² - (-5y)²
based on the formula, a = 4x and b = -5y
= (4x-5y)² - 2(4x)(-5y)
substitute 4x-5y = 6
= (6)² -2(4x)(-5y)
= 36 -2(-20xy)
= 36 + 40xy
substitute xy = 8 into the equation
= 36 + 40(8)
= 36 + 320
= 356
25 points! pls show work if can!!!!!!!!
Answer:
A.2.4 pounds
B.7 oranges
Step-by-step explanation:
Helpppppp
Find the quotient: -45/5
A. -40
B. -9
C. 9
D. 40
Answer:
B - 9
Step-by-step explanation:
5 x 9 = 45 or 45 divided 5
What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
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One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPP T^T PLEASE ANSWER!!!!
Answer:
7 miles per hour.
Step-by-step explanation:
Right now, the relationship in the problem represents 3[tex]\frac{1}{2}[/tex] miles in hours. To find out what the unit rate is (number of miles per mile), we need to multiply both sides of the equation show BeLoW:
3[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
7 miles = 1 hour
Therefore, Doug's average speed in miles per hour is 7 (7 miles per hour).
:3))
A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
Clue 1: P(white) Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 1/5
Answer:
D
Step-by-step explanation:
There are 4 colors to choose from, so use numbers 1-4 to represent each color.
Which of the following shapes are congruent?
Answer:
2nd option.............................................
What is the solution to the inequality?
1/4+x <5/6
A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12
Answer:
A x<7/12 hope this helps
If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]
Answer:
x=29
Step-by-step explanation:
i believe this is the most recent question to which you requested an answer. Well here you go.
The angle at D equal to the angle at A
If so,the
2x+48+74=180
2x+122°=180°
2x=180°-122°
2x=58°
x=58/2=29
Please help me solve this.
Answer:
9
Step-by-step explanation:
13*3=39
48-39=9
Answer:
48-39=9
^
(13 x 3=39)
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Answer:
you're question is complicated
Step-by-step explanation:
Answer:
u
Step-by-step explanation:
hb
factor completely. 6x^3-6x^2+x-1
Answer:
(x−1)(6x2+1)
Step-by-step explanation:
x^3-6x^2+x-1
(x−1)(6x^2+1)
Answe: (
( − 1 ) ( 6 ^ 2 + 1 )
solve system of equations using the elimination method
Answer:
(x,y)=(-4/5,10/19)
Step-by-step explanation:
x+2y=3
x-8y=-16
x+2y=3
-x+8y=16 (multiply both sides by-1)
10y=16
y=16/10
x+2(16/10)=3
x=-4/5