Answer: Account 2
Step-by-step explanation:
Account 1)
Formula for CI
Amount = p(1 + r/n)^nt
A = 2500 (1 + .06/4)^4x10
A = 2500 (1 + 0.015)^40
A = 2500 (1.015)^40
A = 4535.05
Account 2.
Formula for CI for interest compounded continously
A = Pe^rt
A = 2500 x e^0.06 x 10
A = 2500 x e^0.6
A = 2500e^3/5
A = 4555.297
Account 2 should you choose to obtain the greater amount in 10 years.
Important information:You invest $2500 in an account to save for college. Account 1 pays 6% annual interest compounded quarterly. Account 2 pays 4% annual interest compounded continuously.
Calculation of the amount in both the accounts:For Account 1
[tex]Amount = p(1 + r\div n)^{nt}\\\\A = 2500 (1 + .06\div 4)^4\times 10\\\\A = 2500 (1 + 0.015)^{40}\\\\A = 2500 (1.015)^{40}[/tex]
A = 4535.05
For Account 2:
A = Pe^rt
[tex]A = 2500 \times e^0.06 \times 10\\\\A = 2500 \times e^0.6\\\\A = 2500e^3/5[/tex]
A = 4555.297
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9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]
Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.
The vertex form of the equation of a parabola is y = = 6(x-2)²-8.
What is the standard form of the equation?
A. y = 12x2 - 6x + 8
B. y = 6x2 - - 24x + 16
c. y = 6x2 - 4x + 4
O D. y = 12x2 - 12x + 16
Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
NEED HELP ASAP WHOEVER ANSWERS THE QUESTION RIGHT FIRST GETS THE MOST BRAINLIEST
Answer:
150
Step-by-step explanation:
360 - (130 + 80) = 150
Answer:
150
Step-by-step explanation:
130+80= 210
360-210= 150
so it is 150
help pls thx guys photo attached
Answer:
x = 18
A = 110
Step-by-step explanation:
Angles A and B are supplementary angles so they add to 180 degrees
A + B = 180
5x+20 + 9x -92 = 180
Combine like terms
14x -72 = 180
Add 72 to each side
14x-72+72 = 180+72
14x = 252
Divide each side by 14
14x/14 = 252/14
x =18
A = 5x+20
= 5*18 +20
=90 +20
= 110
HELP ASAP NEED HELPPP
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled + x squared, 1 is labeled + x, the 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x + 3) (x + 1) and (x − 3) (x − 2) and (x + 3) (x + 2) and (x − 3)
Answer:
The factors of the polynomial are:
(x + 1) and (x - 3).
Step-by-step explanation:
Consider the image attached.
The upper tiles shows: (x + 1)
And the left tiles shows: (x - 3)
So, the factors of the polynomial are:
(x + 1) and (x - 3).
Answer:
x+1 and x -3
Step-by-step explanation:
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answer:
Identity property of multiplication
Step-by-step explanation:
Given
Step 5: 1x = 20
Step 6: x = 20
Required
Property that justifies step 6
It should be noted that step 6 is a result of step 5.
So, basically the question is asking for the property applied on step 5.
Given that step 5 is: 1x = 20
The property applied is the identity property of multiplication.
This is so because this property states that when 1 is multiplied to an equation, the result remains the same.
Hence;
When 1 is multiplied to x (i.e. 1x), the result is still x.
So, 1x = 20 at step 5 gives x = 20 at step 6
Answer: Option B is the correct answer.
The identity property of addition
For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).
Answer:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer:
A. x² + 4x - 4
Step-by-step explanation:
When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):
4x + 1 + x² - 5
4x + x² - 4
x² + 4x - 4
Express as a trinomial (2x-5) (3x-8)
Answer:
6x^2 -31x +40
Step-by-step explanation:
2x * 3x + 2x * - 8 + -5 * 3x -5 * -8 Distributive property
6x^2 -16x -15x + 40 Math
6x^2 -31x +40 Answer
5p coins weigh approximately 3 grams.
What would be the weight of £5 worth of 5p coins?
Give your answer in kg.
Answer: 0.3 kg
Step-by-step explanation:
£5 = 500p
500p ÷ 5 = 100
100 x 3 = 300 grams
300 ÷ 1000 = 0.3 kg
Hope this helps :)
Answer:
Hello!
_______________________
1 coin = 5p =20
5 x 20=100
100 x 3=300
0.3 kg
Step-by-step explanation: Multiply.
Hope this helped you!
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...
What is the solution to the equation x2 = 16?
Answer:
+4, -4
Step-by-step explanation:
[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]
the number 3^13 - 3^10 is divisible by
An initial deposit of $1200 is put into an account that earns 5% interest compounded annually. Each year year an additional of $1200 is added to the account. Whats the value of the account after the 10th deposit if no withdraws or additional deposits are made.
Answer:
$1788
Step-by-step explanation:
1200 x 0.07 = 84
84 × 7 = 588
588 + 1200 = 1788
The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Calculation of the value:Since
The initial deposit is $1.200
The rate of interest is 5%
Now the future value be like
[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]
= 13893.4711 + 1,200
= $15,093.47
hence, The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
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PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?
Answer: The value of x is 6.
Step-by-step explanation:
TO find the volume of a cube you cube any side length. so if the side length is 6.
6^3 = 216
To find the surface area of a cube you will square one of the side lengths and multiply it by 6.
so the side length is 6 and 6 squared is 36
36*6 = 216
Rewrite the equation by completing the square.
x^2 + 2x – 48 = 0
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
please hellp please hellp fast.
Hello names smiley!
for your answer for this is A circle with diameter 10cm will have a circumference of approximately 31.4cm
or
10cm x 3.14 = 31.4 Circumference = 3.14 x diameter
Step-by-step explanation:
its ok if you dont give brainliest i just want to help!
bye!
The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold? 20x−50; $500 20x−50; $1,450 20x+50; $1,550 20x+50; $5,250
Answer: $1450
The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans.
Step-by-step explanation:
The company will make a profit of $1450 by the production of 75 jeans.
Cost functions and revenueThe profit that is gained from the production and selling of the jeans is modeled by the equation;
P = 20x - 50
If 75 jeans are produced, substitute 75 to represent the value of x in the equation.
P = 20(75) - 50 = 1450
Hence, the company will make a profit of $1450 by the production of 75 jeans.
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PLS EXPLAINIIf y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answer:
Step-by-step explanation:
I think it's B but I'm not 100% sure
The triangles shown below must be congruent.
A. True
B. False
Answer:
true
Step-by-step explanation:
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds
Hello! :)
—————— ☆ ☆———————————————————————————-
Answer:
5.3 seconds
Step-by-step explanation:
The answer is 5.3 seconds because
If you solve this equation than you will see how it is 5.3 seconds.
Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]
Also if you graph it, the answer will be 5.3 seconds
—————— ☆ ☆————————————————————————————
Hope this helps! :)
By: BrainlyMember ^-^
Good luck!
Answer:
^ as the other person said, it's 5.3
Step-by-step explanation:
edge
Samatha received $500 as a graduation present and decides to invest it in an account that is
compounded continuously. How much will be in the account at the end of 5 years if the interest
rate is 3%?
Answer:
Step-by-step explanation:
m= month
3÷100= 0.03
0.03×500=$15
$15/m
$15×5×12=$900
$500-$900=
Answer: -$400
Simplify: ( ++)2 + ( −+)2 + ( +−)2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]
[tex]++ = +[/tex]
[tex]-+ = -[/tex]
[tex]+- = -[/tex]
[tex]( +)2 + ( -)2 + ( -)2[/tex]
[tex]2-2-2[/tex]
[tex]=-2[/tex]
A hockey stick is regularly $54.99, but is on sale for 20% off. What is the price of the hockey stick, including 13% tax?
Answer:
$49.71
Step-by-step explanation:
Take $54.99 - 20% to get $43.99 add 13% and get $49.71
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
Find the next 4 terms of this Fibonacci sequence -x, x+y, y
Answer:
see explanation
Step-by-step explanation:
Any term in a Fibonacci sequence is the sum of the previous 2 terms.
Given the first 3 terms then
a₄ = a₂ + a₃ = x + y + y = x + 2y
a₅ = a₃ + a₄ = y + x + 2y = x + 3y
a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y
a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y
Thus the next four terms are
x + 2y, x + 3y, 2x + 5y, 3x + 8y
For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.