Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P[tex](2^t)[/tex]
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 ([tex]2^7[/tex])
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 [tex](2^t)[/tex]
Dividing both sides of the equation by 3, we get:
512.0023333333 = [tex]2^t[/tex]
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
Learn more about Equation here:
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PLEASE HELP MEEEEE
If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?
Answer:
30g of Sugar
Step-by-step explanation:
200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)
40g of sugar in the sugar water, 10 g taken. 40-10=30
Hope this helps!
:)
The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for .
Answer: 18.84
Step-by-step explanation:
Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84
Can someone help me with this question please
What is the length of the radius, r?
Answer:
half the length of diameterStep-by-step explanation:
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Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).
Answer:
Step-by-step explanation:
I'm going to assume you meant y = ab^x. If this is not correct, leave a comment.
x = 0
y = 7
7 = a * b^0
anything to the zero power is 1
y = a*b^0
y = a*1
7 = a
So far what you have is
y = 7 * b^x
Now let
x = 9
y = 3584
3584 = 7 * b^9 Divide by 7
3584/7 = b^9
512 = b^9
If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.
So the easiest way is to find out what raised to the 9th power will equal 512
Could b = 5?
5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512
So let's try b = 3
3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.
We have just one more number that we can try.
2^9 = 512 and we have it
Answer y = 7*2^x
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10
The scale factor of the enlarged image of a bug is 1:0.125. The diagram measures 16mm, what is the actual length
Answer:
it is 2mm long
Step-by-step explanation:
16x0.125=2 so it is 2mm long
What is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
1/2
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
9-6=3
8-2=6
3/6=1/2
What is the volume of this cylinder? 6m, 7m
Answer:
[tex]198\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.
What we're given:
[tex]r[/tex] of 3[tex]h[/tex] of 7Substituting given values, we get:
[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.
Answer:
Volume of cylinder is 197.82 m ³.
Step-by-step explanation:
Here,
We have given thatDiameter of cylinder = 6 m
So, Radius of cylinder, r = 6 / 2 = 3m
Height of cylinder , h = 7 m
Value of π = 3.14
To find :-Volume of cylinder
Solution :-We know that,
Volume of cylinder = π × r ² × h
Substitute the values
Volume of cylinder = 3.14 × ( 3m ) ² × 7 m
volume of cylinder = 3.14 × 9m² × 7 m
Multiply , we get
Volume of cylinder = 197.82 m ³
Therefore, The volume of cylinder id 197.82 m ³.
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
75 percent of $82 i know the answer how do i solve helppppp
Answer:
61.5
Step-by-step explanation:
75% of 82 = [tex]\frac{75}{100}*82[/tex]
= 0.75 * 82
= 61.5
Answer:
$61.50
Step-by-step explanation:
You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.
PLS ANSWER ASAP DUE AT 9:20
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
6x-27=-3x
solve for x:D
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
can someone please help me?
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Pls help quicky! I will also give a brainliest!!!!!
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function?
Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example [tex]y=\frac{1}{x}[/tex]:
As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptoteAs y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptoteSee the graph for a visual.
SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS
1/5+ (2/5+3/5)
Answer:
6/5
Step-by-step explanation:
1/5 + (2/5 + 3/5)
solve for the bracket first
1/5 +(2+3/5)
1/5 + (5/5)
1/5 + 1
1+1*5/5
6/5
another method
1/5 + (2/5 +3/5)
open brackets)
1/5 + 2/5 + 3/5
since their denominator are same u can add their numerator
1+2+3/5
6/5
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
I feel like i’m wrong lol, Correct me please.
Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4
Answer: 23692929
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex](25x-4)^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
