Answer:
1800 in 12 hours
3600 in 24 hours
Step-by-step explanation:
300 in 2 hours
12/2 = 6 times as much in 12 hours
6(300) = 1800 in 12 hours
3600 in 24 hours
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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answer this math question. ill give brainliest.
Answer: He OLD! XD
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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
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!
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:
Isn't the answer D? I will appreciate it if someone helps :)
Answer:
I think it's correct, I agree :)
What is an anticodon?
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
please help me i need to turn this in rn
Answer:
Step-by-step explanation:
2x6yz
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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What is the value of the expression below when w=5w=5? 4w+9 4w+9
Answer:
29
Step-by-step explanation:
substitute 5 where the w goes in the expression.
It should look like 4 • 5 + 9
Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We need to find the value of the expression below when w = 5w = 5.
Using the order of operations ( PEMDAS ),
Then substitute 5 where the w goes in the expression.
4w+9 = 4 • 5 + 9
4w+9 = 20 + 9 = 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
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helllllllllllllllppppppppppppp WILL MARKBRIANLIST
Answer:
4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68
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 is c - b for six grade math
Answer:
specify?
Step-by-step explanation:
give us a image
AOB and COD are two straight lines. Find ZBOD.
help
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:
Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.
Answer:
Correct
Step-by-step explanation:
The given expression is : 4n - 2
Chris says that the expression (4n-2) can be written as 2(2n - 1).
Taking 2 common on the given expression.
(4n-2) = 2(2n-1)
Hence, he has wrote it in a correct way.
7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON
Which of the following would be considered a "like radical" for 2/3?
Function in graphing vertex form
Answer:
whats the questiong tho
Step-by-step explanation:
y> 3x-2
Graph the solution
Answer:
4 es esa ????k nose
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]
By how much is -23 less than 23?
Answer:
46
Hope it helps
Please mark me as the brainliest
Thank you
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
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
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
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
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 me with this too please
Answer:
this is a test but its he second one :D
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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