Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds interest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.
A. $20,652.19
B. $19,149.68
C. $20,146.75
D. $19,399.29
Answer:
D. $19,399.29[tex] \: \: \: \: \: \: [/tex]
HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.
So I know that the equation would be
[tex]f(n) = (f_{n-1} )(r)[/tex]
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.
The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.
What is an exponent?Let Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs,
a = initial amount, and r = fraction which this growth/decay occurs.
Lionfish are considered an invasive species, with an annual growth rate of 65%.
Then the equation will be
f(n) = P(1.65)ⁿ
P = initial population
A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
7000 = P(1.65)
P = 4242.42
Then the equation will be,
f(n) = 4242.42(1.65)ⁿ
If scientists remove 1,300 fish per year from the bay after the first year.
Then the recursive equation for f(n) will be,
f(n) = 4242.42(1.65)ⁿ - 1300n
Learn More about the exponent link is given below.
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George wants to write the number “fifteen thousandths” in standard form. Explain to him how he would do this. Be sure to name the places his digits will go in. What is “fifteen thousandths” in standard form?
Answer:
0.015
Step-by-step explanation:
He would have to take 15 and put the decimal point 4 places to the left of the number.
If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.
The standard form is 10,000 + 5000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Fifteen thousandths
This can be written as,
= 15,000
It can be expanded as,
= 10,000 + 5,000
= 1 ten thousands + 5 thousands
Thus,
The standard form is 10,000 + 5000.
Learn more about expressions here:
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In the picture. Answer by 11:00.
Answer:
Pink and Green are proportional
Step-by-step explanation:
A proportional graph is a straight line that always goes through the origin
3 and 1/13 in simplest form.
Answer:
3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).
Have an awesome day! :D
NO LINKS!!!
What are the differences between arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
if u help me ill give u brainliest
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green
Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
n-(m+n): use m= 2,and n=-3
Answer:
the answer is in the photo below
Which of the following statements describes a positive correlation?
The more I study the lower my test scores
The greater the cost, the better the merchandise
Walnut is more dense than pine
none of the other alternatives are correct
Answer:
The greater the cost, the better the merchandise
Step-by-step explanation:
It’s giving a positive correlation.
A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?
Answer:
4.85 mailes can be running for runners
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answer:
I think the answer is c
A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
Simplify the expression.
14.5 – 3(-7.9+ 4.4 - 2.9) = 14.5 – 3
sus susussusususususususus
Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form
y=2/3x -3
the picture is the explanation
9.4 x 8.2 using regrouping
Answer:
77.08
Step-by-step explanation: basic math
Answer:
77.08
Step-by-step explanation:
hope it helps
1/2 - 3/10 please help
Answer:
[tex]\huge\boxed{\dfrac{1}{5}=0.2}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{1\cdot5}{2\cdot5}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{5-3}{10}=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\\\\\\\dfrac{1}{2}=0.5;\ \dfrac{3}{10}=0.3\\\\\dfrac{1}{2}-\dfrac{3}{10}=0.5-0.3=0.2[/tex]
b. A square has an area of 9 cm2 what is its side length?
Answer:
81 cm
Step-by-step explanation:
A square is equal an all sides so 9cm to the second power is 81 cm
Mind helping me with this?
Solve 2|x + 2| – 3 ≥ 0 by graphing
this is the answer of the equation as a graph
Can I get help please....
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answer:
2 fruits
Step-by-step explanation:
That's because bananas and pears are two different fruits
Answer:
1 7/20 pounds
Step-by-step explanation:
3/4 + 3/5
Use common denominator of 20
15/20 + 12/20
Add numerators
27/20
Reduce
1 7/20 pounds
−3 2/3=x−1 1/4 pls help
Answer:
- 2 5/12Step-by-step explanation:
−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12Can you help me!
Determine the solution to the following one-variable linear equation:
a. 4a - 11 = 2a + 3
b. 3z + 12 = 15
c. 2 - 6b = 20
d. 3y - 5 = 27 - y
Hi,
4a - 11 = 2a + 3
4a - 11 + 11 = 2a + 3 + 11
4a = 2a +14
4a - 2a = 2a - 2a + 14
2a = 14
2a / 2 = 14 / 2
a = 7
3z + 12 = 15
3z + 12 - 12 = 15 - 12
3z = 3
3z / 3 = 3 / 3
z = 1
2 - 6b = 20
2 - 2 - 6b = 20 - 2
- 6b = 18
6b = - 18
6b / 6 = -18 / 6
b = -3
3y - 5 = 27 - y
3y - 5 + 5 = 27 - y + 5
3y = - y +32
3y + y = - y + y +32
4y = 32
4y / 4 = 32 / 4
y = 8
✅(◠‿◕)
#A
4a - 11 = 2a + 3 4a - 2a = 3 + 112a = 14 a = 14/2 a = 7✅#B
3z + 12 = 15 3z = 15 - 12 3z = 3 z = 3/3 z = 1✅#C
2 - 6b = 20 -6b = 20 - 2 -6b = 18 b = 18/(-6)b = -3✅#D
3y - 5 = 27 - y 3y + y = 27 + 5 4y = 32 y = 32/4 y = 8✅What is a quartic function with only two real zeros atx x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Answer:
b
Step-by-step explanation:
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
PLS HELP
What is 3/4 of a penny in decimal form?
Answer:
0.75 cents or $0.0075
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
pls mark brainliest if this helped :)
3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.
What is a penny?
The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.
During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”
Given: 3/4 of a penny
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
To learn more about decimal points refer to:
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An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
Use the given transformation to evaluate the integral
∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).
Answer:
Step-by-step explanation:
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