Answer:
f(x)=ax^3+bx^2+cx+d
it is a cubic function
Step-by-step explanation:
Sophia invested $79,000 in an account paying an interest rate of 6.8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $152,800?
Answer:
10
Step-by-step explanation:
The value of the account will reach $152,800 in 10 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.
The formula for calculating the final amount when the interest is compounded continuously is,
A = P e^(r t)
Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.
Given that,
A = $152,800
P = $79,000
r = 6.8% = 6.8/100 = 0.068
We have to calculate t.
152,800 = 79,000 e^(0.068 t)
152,800 / 79000 = e^(0.068 t)
1.934 = e^(0.068 t)
Taking logarithms on both sides,
㏑ 1.934 = ㏑ e^(0.068 t)
We have ㏑(a)ⁿ = n ㏑(a)
0.65968 = 0.068t ㏑ e
0.65968 = 0.068 t × 1
t = 9.7 ≈ 10 years
Hence the amount is compounded to $152,800 in 10 years.
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Function in graphing vertex form
Answer:
whats the questiong tho
Step-by-step explanation:
The price of a phone was $480. After two months of its release, there is a price decrease of 28%. Which of the following expression gives the difference in the prices of the phone before and after the two months?
$16(28%)
$16(72%)
$16(172%)
$16(128%)
Answer:
???
Step-by-step explanation:
What is an anticodon?
the volume in cm squared of a cube of edge 2cm is
Answer:
volume = 2 x 2 x 2 = 8 cm²
Step-by-step explanation:
HELP PLEASE!! Alita is 2 times as old as Jiro. Jiro is 4 years younger than Erik. Erik is 1/3 as old as dawn. The sum of all their ages is 72 What equation could you write to represent this situtation????
Step-by-step explanation:
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
or
1/3d - 4 × 2 =72
let d = dawn
let e = erik
let j = jiro
let a = alita
remember that a number next to a variable means multiplication.
The equation could write to represent this situation is
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
What is equation?An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13. These are the expressions 2x – 5 and 13.The sign connecting these two expressions is "=".
In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.
Equations are different, for example:
Linear equations Quadratic equations Cubic equations Quartic equations Differential equations Parametric equationsLet us suppose ,
age of Erik is e
dawn is d
Jiro is j
Alita is a
The equation could write to represent this situation is
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
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By how much is -23 less than 23?
Answer:
46
Hope it helps
Please mark me as the brainliest
Thank you
Isn't the answer D? I will appreciate it if someone helps :)
Answer:
I think it's correct, I agree :)
What is an equation of the line that passes through the point (-1,-3)(−1,−3) and is parallel to the line 6x-y=16x−y=1?
Answer:
x = -1
Step-by-step explanation:
[tex]6x - y = 16x - y - 1\\-10x = -1\\x = 1/10[/tex]
Since this is the equation of a vertical line, that means that the new one will also just be in the form x = ?.
Since the x - value is -1, the equation is x = -1
A child standing on a river bank ten feet above the river throws a toward the river at a speed of 12 feet per second . How long does it take before the rock splashes into the river ? Use the equation h=-16t^ 2 +vt+s
PLEASESE HELP
Dan and Lisa each improved their yards by planting daylilies and ivies. They bought their supplies from the same store. Dan spent $78 on 6 daylilies and 8 pots of ivies. Lisa spent $123 on 9 daylilies and 13 pots of ivies. What is the cost of one daylily? What is the cost of one pot of ivies?
Answer:
Cost of daylillies = $5
Cost of pot = $6
Step-by-step explanation:
Let
Cost of daylillies = x
Cost of pot = y
6x + 8y = 78 (1)
9x + 13y = 123 (2)
Multiply (1) by 9 and (2) by 6 to eliminate x
54x + 72y = 702 (3)
54x + 78y = 738 (4)
Subtract (3) from (4)
78y - 72y = 738 - 702
6y = 36
y = 36/6
y = 6
Substitute y = 6 into (1)
6x + 8y = 78 (1)
6x + 8(6) = 78
6x + 48 = 78
6x = 78 - 48
6x = 30
x = 30/6
x = 5
Cost of daylillies = $5
Cost of pot = $6
y> 3x-2
Graph the solution
Answer:
4 es esa ????k nose
what is c - b for six grade math
Answer:
specify?
Step-by-step explanation:
give us a image
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answer:
turn and rotate
Step-by-step explanation:
Answer:
Flip then slide
Step-by-step explanation:
I think if you flip the shape it will go the direction of the blue shape then you just need to slide it
please help me i need to turn this in rn
Answer:
Step-by-step explanation:
2x6yz
7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON
helllllllllllllllppppppppppppp WILL MARKBRIANLIST
Answer:
4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68
Find the unit rate.Round to the nearest hundredth,if necessary. 2.99 for 16 lb I REALLY NEED HELP !!!
9514 1404 393
Answer:
0.19/lb
Step-by-step explanation:
When computing cost per quantity, the cost is divided by the quantity.
2.99/(16 lb) = 0.186875/lb ≈ 0.19/lb
Answer:
heyy it's me again lol but The unit rate is $0.19/lb.
Step-by-step explanation:
Divide the total by the number of pounds to get the price per pound, or the unit rate.
$2.99 ÷ 16 lb = 0.186875
Since 0.186875 isn't an accurate US dollar amount, round to nearest hundredth, 0.19.
so you answer is $0.19/Ib
God bless you!
I need it fast
Find the value
Answer:
a)7
b)x=6
Step-by-step explanation:
Answer:
z = 4, x = 6
Step-by-step explanation:
(a)
[tex]\frac{5z+1}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )
5z + 1 = 21 ( subtract 1 from both sides )
5z = 20 ( divide both sides by 5 )
z = 4
(b)
[tex]\frac{5x}{3}[/tex] + 3 = x + 7 ( multiply through by 3 to clear the fraction )
5x + 9 = 3x + 21 ( subtract 3x from both sides )
2x + 9 = 21 ( subtract 9 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Aria has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?
Answer:
8 visits
Step-by-step explanation:
Create an equation, where x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
Solve for x:
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.
By given she has 85 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs 185 points for a free movie ticket.
We must find how many visits does aria has to make to earn a free movie ticket
What is equation?If two expressions with equal sign is called as equation.
Let x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
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Which of the following would be considered a "like radical" for 2/3?
Tell whether the ordered pair is a solution of the inequality.
-6x + 4y = 6; (-3, -3)
O Yes, it is a solution
No, it is not a solution
Help please
-6 + 2/5c = 24
Answer:
c = 75
Step-by-step explanation:
Add 6 to both sides: 2/5c = 30
Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2
c = 75
Write an equation of the line in point slope form
(2, 4) and (3,6)
Answer:
(y – 4) = 2(x – 2)
Step-by-step explanation:
point slope: y – y₁ = m ( x - x₁ ).
slope: m = ∆y / ∆x.
_______________
m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]
= 2
____________________________
(2, 4) → (x₁, y₁).
2 → m.
y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).
Answer:
y-4=2(x-2)
Step-by-step explanation:
Freedom PopFreedom PopFreedomFreedom Pop Pop they right?
Answer:
D
B
Step-by-step explanation:
1. x² - 5x = 14
x² -5x -14 = 0
x² +2x -7x -14 = 0
x(x + 2) -7(x + 2) = 0
x - 7 or x + 2 = 0
x = 7 or x = -2
2. y² + 6y + 9 = 49
y² + 6y +9 -49 = 0
y² +6y -40 = 0
y² +10y -4y -40 = 0
y(y + 10) -4(y + 10) = 0
y -4 or y + 10 = 0
y = 4 or y = -10
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Width = 5x +3
Step-by-step explanation:
15x² - 16x - 15 = 15x² - 25x + 9x - 3 *5
= 5x(3x - 5) + 3(3x - 5)
= (3x - 5)(5x + 3)
Width = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]
pls explain this to me
Answer:
Step-by-step explanation:
there are two polygons each the same.The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths are 3/4 the size of the 66feet. find the perimeter of the other polygon remember they are the same.
what it the gcf (greatest common factor) of 48 and 96?
Answer:
8
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
The factors of 48 are 1,2,3,4,6,8,12,16,24,48;
The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96
answer this math question. ill give brainliest.
Answer: He OLD! XD
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help me with this too please
Answer:
this is a test but its he second one :D
Step-by-step explanation: