the answer is 4160$
After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.
Moneysaver's Bank offers a saving account with the features as,
Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200Expression to calculate the final amount when compounded continuously,
Final amount = [tex]P.e^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
By substituting the values in the expression,
Final amount = [tex]3200.e^{0.05\times 6}[/tex]
= 3200(1.3498588)
= 4319.548
≈ $4319.55
Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.
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Mrs. Smith’s class raised a total of 994 silkworms, and 523 of them turned into moths about how many silkworms did not turn into months choose the better estimate
Answer:
471 that's the answer
Step-by-step explanation:
994 - 523 =471
what is the lim of (8n)/((3n^2)+5)?
[tex]\lim \limits_{n \to \infty} ~\dfrac{8n}{3n^2 +5} \\\\\\=8\lim \limits_{n \to \infty} ~ \dfrac{\tfrac n{n^2}}{\tfrac{3n^2}{n^2} + \tfrac 5{n^2}}\\\\\\=8 \lim \limits_{n \to \infty} ~\dfrac{ \tfrac 1n}{ 3 + \tfrac 5{n^2}}}\\\\\\=8 \cdot \dfrac{ 0}{3 +0} = 8 \cdot 0 = 0[/tex]
We want to evaluate the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity (+∞)
The limit of this expression is the same as the limit of [tex]\frac{8n}{3n^{2}}[/tex]
But this last expression can be simplified, we can remove one n up and down which gives us : [tex]\frac{8}{3n}[/tex]
We know the limit of this one, it is simply Zero 0, by definition of the class lesson.
So to conclude the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity is 0.
Good Luck
which sets does -8/9 belong to
Answer:
all of the above
Step-by-step explanation:
Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.
Answer:
79.04 liters
Step-by-step explanation:
20.8 x 3.8 = 79.04
Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?
Answer:
The answer to " How much is a pen or pencil at the school store?" is $0.5
Step-by-step explanation:
3+5=8
-1.00 for erasers
total cost now =4
4/8= $0.5
total cost of everthing =5
simplify -4y+8y answer quick pls
Step-by-step explanation:
-4y + 8y = 4y
it is the same as -4 + 8 = 4
Answer:
4y is the answer.
Step-by-step explanation:
Since there is like variables, we can add -4y and 8y.
=> -4y + 8y = 4y.
Therefore, 4y is the answer. Hoped this helped.
Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1
degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?
Answer: 13 1/3 degrees per hour
Explanation: 10/3 x 4 = 40/3
40/3 = 13 1/3
(-4) ⁴ what is the value of this expression
Solve for k:
k + 6 > -37
Answer:
[tex]\sf k + 6 > -37[/tex]
[tex]\sf k+6-6>-37-6[/tex]
[tex]\boxed{\sf k>-43}[/tex]
Answer:
Subtract 6 from both sides:
K +6 - 6 > - 37 - 6
Simplify the arithmetic:
k > - 37 - 6
Simplify the arithmetic
k > - 43
Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
which option is right??
Answer:
its the third choice
Step-by-step explanation:
Side angle side cuz there r 2 sides congruent in the picture shown above.
if 1/2x + 6 = -x -3, what is the value of -2x?
Answer:
12
Step-by-step explanation:
Hi there!
We are given the following equation:
1/2x + 6 = -x-3
And we want to find the value of -2x
First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x
Start by adding x to both sides to remove -x from the right side
1/2x + 6 = -x -3
+x +x
_______________
3/2x+6=-3
Subtract 6 from both sides to remove it from the left side
3/2x=-9
Multiply both sides by 2/3 in order to clear the fraction
x=-6
Now substitute -6 as x into -2x
-2x
x=-6
-2(-6)=12
Hope this helps!
you have 12 pets and 2 die every 1 and half years how many are left
Answer; 0 ,2?
Step-by-step explanation:
im not so sure tbh its a lil confusing dont they tell how many years its been?
A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.
BRAINLIEST HELP PLS !!!!!
Answer:
1 : 2000000
Step-by-step explanation:
we have to convert 20km into cm so
20km×100000
=2000000
So ratio is 1:2000000
MARK ME BRAINLIEST PLS!Answer:
1:2000000.
Step-by-step explanation:
1 km = 1000m = 100*1000
= 100,000 cm
20 km = 2,000,000 cm.
A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?
Answer: 180 students
Step-by-step explanation:
The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?
Answer:
10 cups
Step-by-step explanation:
The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
3 dozen = 12 × 3 = 36 cookies.
2 cups of sugar are required to make 36 cookies
Let x cup of sugar is required to make 24 cookies.
36 cookies = 2 cups
24 cookies = x cups
Cross-multiply both the equations above
x = (24 × 2)/36
x = 1.33 cups.
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HELP ME OUT PLEASE
Use the data to create a scatter plot.
Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.
Step-by-step explanation:
The mass of Earth is approximately 6 x 10^27 that of the Sun is 330,000 times as much. The gravitational constant is 6.7 x 10^-8 cm/s2.g. The distance of Earth from the Sun is about 1.5 x 10^12 cm. Compute, approximately, the work necessary to increase the distance of Earth from the Sun by 1 cm.
Answer:
12.89
Step-by-step explanation:
ititiiitiiiuuyhgtfvnmmnhhnjijli
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?
Answer:
D IS THE ANSWER
Step-by-step explanation:
HOPE IT HELPS
find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST
Answer: answer is C
Step-by-step explanation:
can someone plz help with this FAST
I WILL MARK BRAINIEST
Answer:
A. 1.56
Step-by-step explanation:
[0(3) + 1(9) + 2(10) + 3(2) + 4(1)] / [3 + 9 + 10 + 2 + 1]
Answers:
A. 113 cm^3
B. 141 cm^3
C. 565 cm^3
D. 126 cm^3
Answer:
b
Step-by-step explanation:
Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:
-А
Which of the equations is correct? Explain how you know.
Answer: A
Step-by-step explanation:
Because 489 + 45
The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle
Answer:
2 ( 2y + 5 )
Step-by-step explanation:
→ Take out 2 as a factor
2 ( 2y + 5 )
Answer:
A = 2(2y + 5)2 and 11 (when y = 3)Step-by-step explanation:
The area equation is:
A = lwGiven:
A = 4y + 10This can be factored as:
A = 2(2y + 5)Let y = 3, then the dimensions are:
2 and 2*3 + 5 = 11Original price of a bicycle $1,600.00 Discount 35.3% Tax 1%? Find the selling price of each item ???
Solve 3h+g=5h-hg for h
Answer: [tex]h=\frac{-g}{g-2}[/tex]
Step-by-step explanation:
Let's solve for h.
[tex]3h+g=5h-hg[/tex]
Step 1: Add [tex]gh[/tex] to both sides.
[tex]g+3h+gh=-gh+5h+gh[/tex]
[tex]gh+g+3h=5h[/tex]
Step 2: Add [tex]-5h[/tex] to both sides.
[tex]gh+g+3h+-5h=5h+-5h[/tex]
[tex]gh+g-2h=0[/tex]
Step 3: Add [tex]-g[/tex] to both sides.
[tex]gh+g-2h+-g=0+-g[/tex]
[tex]gh-2h=-g[/tex]
Step 4: Factor out the variable [tex]h[/tex].
[tex]h(g-2)=-g[/tex]
Step 5: Divide both sides by [tex]g-2[/tex].
[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]
[tex]h=\frac{-g}{g-2}[/tex]
Answer:
[tex]h=\frac{-g}{g-2}[/tex]
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?
Answer:
answeris: C.(-6,-9)➡(6-9)
find the value of the angles marked 'x' and 'y'
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
help! giving brainliest!!!