The time taken to grow to $8000 is 17 years and 4 months.
The formula used to find the time compounded continuously.
t = ln(A/P) / r
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $4000
A = $8000
r = 4%
The formula used:
t = ln(A/P) / r
t = ln(8,000/4,000) / 0.04
t = 17.329 years
This means,
= 17 years 4 months
Thus,
The time taken to grow to $8000 is 17 years 4 months.
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Use the distributive property to evaluate the following expression: 9 x (4 + 9) . Show your work in your answer.
g If the quantity of helium in a weather balloon in increased by a factor of 5 at constant temperature and pressure, by how much does the volume of the balloon change? Decrease by 2 times Increase by 5 times Decrease by 5 times Increase by 2 times
Answer:
Increase by 5 times
Step-by-step explanation:
Given that from the ideal gas law;
PV = nRT
P= pressure
V= volume
n= number of moles
R= gas constant
T = temperature
It the follows that;
V= nRT/P
When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;
PV = 5nRT
V = 5nRT/P
Hence the volume increases by a factor of 5.
.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3
A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up
Given:
The equation of the parabola is
[tex]y=2x^2+8x+3[/tex]
To find:
The vertex and check whether it opens up or down.
Solution:
We have,
[tex]y=2x^2+8x+3[/tex]
Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.
The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is
[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
Here, a=2, b=8 and c=3.
[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]
[tex]\dfrac{-b}{2a}=-2[/tex]
Putting x=-2 in the given equation.
[tex]y=2(-2)^2+8(-2)+3[/tex]
[tex]y=2(4)+(-16)+3[/tex]
[tex]y=8-16+3[/tex]
[tex]y=-5[/tex]
So, the vertex of the parabola is at (-2,-5) and parabola opens up.
Therefore, the correct option is D.
Five numbers have an average of 6.
Four of the numbers are 0, 1, 3, and 7.
What's the fifth number?
Answer:
1+3+0+7+x/6=6....
11+x=36...
X=36-11=25
Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.
Answer:
Matt needs to read 55 books for the school book fair. He has already read 7 and reads books at a rate of 4 books per day. How many more books will he need to read?
(can I get brainliest pls)
which statement is true about the solution of this system of equations?
{x+3y=-4
3x+9y=-12
Answer:
ssdafdsdsaasd
Step-by-step explanation:
adsdasdasdsadadasds
Answer:
x=-4-3y
Step-by-step explanation:
2. Solve: 7(5x-2) = 6(6x - 1).
Answer:
-8
Step-by-step explanation:
35x-14=36x-6
35x-36x=-6+14
-x=8
x=-8
Write an equation for this scenario and solve.
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score?
Answer:
lets call andere A and diego D.
so
A-9=D
D times 2 = n
now we divide 10/2 and thats 5
diego scored 5 points so we can sub in
A-9=5
now we add 9. making 14
ANDRE SCORED 14
Answer:
Diego scored 14 points
x = 14
Hope this helps!
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Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
Answer:
1
Step-by-step explanation:
the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.
Answer:
C
Step-by-step explanation:
Edge 2021
IGIVEEEEEEEEEEEEEEEEEEEEE BRSAINLILSTER
Answer:
G
Step-by-step explanation:
Houston’s annual salary is $89,616. He falls in the 35% tax bracket. What is his net annual salary?
Answer:
$31365.60
Step-by-step explanation:
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Step-by-step explanation:
The triangles are congruent due to Hypotenuse-Leg congruence. (HL congruence)
Each of the triangles have a right-angle, a congruent hypotenuse and a congruent side of the triangle.
Therefore Triangles ABC and PRQ are congruent.
Answer:
YesStep-by-step explanation:
Given
Right triangles with congruent hypotenuse and one leg.This is sufficient for HL (Hypotenuse, Leg) congruence theorem
What is the equation of the graphed line written in standard form? x – 4y = 4 x + 4y = 4 y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1 y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1
Answer:
The answer is A
Step-by-step explanation:
I got it right
Answer:
Answer is A
Step-by-step explanation:
Which point is in the solution set of the given system of inequalities?
Answer:
(1/5, 9/5)
Step-by-step explanation:
Given the set of inequities
x+y>2..... 1
4x-y≥-1 .... 2
We are to get the solution point (x,y)
Solving simultaneously
From 1:
x>2-y
Substitute into 2
4(2-y)-y≥-1
4(2)-4y-y≥-1
8-5y≥-1
-5u ≥-1-8
-5y ≥-9
y≤9/5
Since x>2-y
x>2 - 9/5
x>1/5
Hence the required point is (x,y) = (1/5, 9/5)
Answer:
C. (0,3)
Step-by-step explanation:
hope this helps :)
please answer asap no trolls!!
Answer:
1. b = 47
2. c = 18
Step-by-step explanation:
From the question given above, we can see that the two shapes are right angle triangle.
Thus, if ΔUVW ≅ ΔFED, then
1. VW = ED
2. UW = FD
3. UV = EF
1. Determination of the value of b.
UW = 47
FD = b
UW = FD
47 = b
Therefore,
b = 47
2. Determination of the value of c.
VW = c
ED = 18
VW = ED
c = 18
Solve the equation and determine the value of t. t + 38 = 420
Answer:
t=382
Step-by-step explanation:
Answer:
382
Step-by-step explanation:
1. t=420-38
2. t=382
A machine fills container at a constant rate of 5/8 of a box every 1/2 minute. What is the number of container per minute?
due in an 1hr help!!
Answer:
I think its D
Step-by-step explanation:
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rearrange w=5(3a-b) + 2 to make a the subject
Answer:
w=15a-5b+2
w+5b-2=15a
(w+5b-2)/15=a
Step-by-step explanation:
The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given an expression w = 5(3a - b) + 2.
Now to make 'a' the subject is the same as finding the value of a.
w = 5(3a - b) + 2.
w = 15a - 5b + 2.
w + 5b - 2 = 15a.
a = (1 + 5b - 2)/15.
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Divide.
11.02 ÷ 3.8
Enter your answer, as a decimal, in the box.
Answer:
2.9
Step-by-step explanation:
11.02÷3.8= 2.9
Answer:
2.9
if im right mark as brainlest thank you!
In the isosceles trapezoid below,
x = = [? ]°
Answer:
Step-by-step explanation:
yes
if you solve the equation,
5x+15=7x-11
26=2x
x=26/2=13
Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?
Answer:
.
Step-by-step explanation:
.
answer will be giving brainliest
Answer:
Daniele sister
Step-by-step explanation:
she right because 1 9/18 is even n have factors to it 9/8 is 1 1/9- den u can get 1 1/2 cause u simplified
im prob wrong-
Find the distance between the points (8,-3) and (2, -3).
Because the Y values are the same ( -3) the distance is the difference between the x values:
Distance = 8-2 = 6
The answer is 6
Dividing the sum of 3 7/8 and 2 11/16 by 5/8 yields which value?
A. 15/32
B. 1 1/5
C. 4 1/4
D. 10 1/2
cable has 2 1/5 yard of rope. he uses 3/4 of the rope to make a dog leash. which expression can be used to represent 3/4 of 21/5
Answer:
B
Step-by-step explanation:
Thank me later
Imagine Kiri Commented On this question (⊙_⊙)？
Answer:
That would just be magical- like let's imagine how it would turn out. :>
Step-by-step explanation:
9. A ranch has 575 cows on 25 acres of land. Which rate best represents the relationship
between the number of cows and the number of acres?
Answer:
10/10
Step-by-step explanation:
Can someone please help me?!?! I need this done before 1-5-21
Answer:
8=w, -8=w (±8=w)
Step-by-step explanation:
192=[tex]3w^{2}[/tex]
First, divide by 3
64=w²
now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )
8=w, -8=w
You can also write it as ±8=w
Hope this helps!