[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]
now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.
[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]
[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]
help asap whoever right get brainiest
Answer:
EF
Step-by-step explanation:
I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.
Find the volume of the following square pyramid.
Check the picture below.
[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]
Ayaan travels 90 miles at an average speed of 60 mph.
She then travels a further 40 miles.
The average speed for the entire journey is 59 mph.
Assuming Ayaan didn't stop, what was her average speed for the final 40 miles to 2 dp?
Step-by-step explanation:
Speed = distance / timeThereafter,
Distance :-
90 miles + 40 miles = 130 milesTime :-
90 / 60 + 59 = 60.5 mphAverage Speed :-
130 / 60.5 = 2.148Help what is thisss
GIVING OUT BRAINLY IF U ANSWER
idc if sum r wrong
Answer:
it is a b and c
Step-by-step explanation:
HELPP!!! I have a root test for a series but it's in n/2 power, help me out please ?
help pls//////////////////
Answer:
x = 6
Step-by-step explanation:
12(x -2) +3x = 1/3(x +12) +10x
12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses
15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms
(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3
x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14
The value x=6 satisfies the equation.
What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
The question in the image! Please hurry :D
Answer:
8.85 * 10 ^17
Step-by-step explanation:
8.2 * 10 ^17 + 6.5 * 10 ^16
They must be to the same power to add
8.2 * 10 ^17 + .65 * 10 ^17
Add
8.85 * 10 ^17
A rectangular prism has a length width and height of 2/3
Step-by-step explanation:
A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.
The volume of the rectangular prism is
24/105
cubic inch.
What is the output of a function when tha input is -9
Answer: f(-9)
Step-by-step explanation:
A function is described in the form of f(x)
Therefore, if this is how a function is stated we have x as the input.
Here, the x is equal to -9
So now:
f(-9) after substitution.
What is the y-intercept of the line shown?
Answer: 4
Step-by-step explanation:
It crosses on the y axis at the point (0,4)
Answer:
4
Step-by-step explanation:
The y-intercept of the line shown is 4.
Hope this helps :)
Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Step-by-step explanation:
the equation :
(y-3)/(3-3) = (x-8) /(7-8)
(y-3) /0 = (x-8) /(-1)
(-1)(y-3) = 0(x-8)
-y +3 = 0
y = 3
(this is a horizontal line)
Answer:
y = 3 (Horizontal line)
Step-by-step explanation:
point: (8, 3) and (7, 3)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 3)/(3 - 3) = (x - 8)/(7 - 8)
(y - 3)/0 = (x - 8)/(-1)
(-1)(y - 3) = 0
-y + 3 = 0
-y = - 3
y = 3 (Horizontal line)
6= 2(y+2) i need help on this
g(x)=x^2-6/3x+10 g(4)=?
Answer:
g(4) = [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]
_______
[tex] \: [/tex]
[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]
[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]
[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]
[tex] \sf{g(4) = \frac{10}{22}} [/tex]
[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]
Mathew basketball team won 68% of the games they played if they won 17 games how many did they play
Answer:
25
Step-by-step explanation:
turn 68% into a decimal (or keep as a percentage, your choice) and divide
17 divided by 0.68 (68% as a decimal) = 25
A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1
Solve for x: 49.98+12x=61.98+7x
Answer:
X=2.436
Step-by-step explanation:
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
PLEASE HELP !!! PICS DOWN BELOW
Answer:
262.25 $
Step-by-step explanation:
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
Just give me the answer please
Answer:
what
Step-by-step explanation:
Answer:
Appologies but Why do you have pOn open?
Step-by-step explanation:
umm that is inapropriate but idrc
This population chart represents linear or exponential growth?
•linear
•exponential
This is Linear graph.
Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.
- BRAINLIEST answerer
HEHEHEHE HELP LOL IM NOT SMART ENOUGH FOR THIS 3
1.
Find the value of 5x? if x = -3.
Answer:
-15
Step-by-step explanation:
5 * -3 = -15
x = -3
5x = 5(-3)
5(-3) = -15
Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
simplify 4 whole 2/7 + 5/7
Answer:
1
Step-by-step explanation:
2/7+5/7=7/7=1 because 7/7 would be a 1 whole
Answer:
35/7
Step-by-step explanation:
4 = 28/7
28/7 + 2/7 + 5/7 = 35/7
(-7)(1.2) multiplying rational numbers
Answer:
-119
Step-by-step explanation:
Answer:
-8.4
Step-by-step explanation:
-7 x 1.2
If your income is constant, what will happen to your savings when your expenses increase?
PASAGOT PO!!!!!
Okay, suppose your income is about $100.
You might spend $70 & save $30.
Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.
=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.
_______
RainbowSalt2222 ☔
help please im mark brainliest I just need to get this finish asap!
Answer:
See below
Step-by-step explanation:
1. A
2. F
3. G
4. I
[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]
Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16
I have attempted this and keep on getting about -0.28, but that is not an option.
If
[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]
then its derivative, using the power rule, is
[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]
At h = 16, the second derivative has a value of
[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]
Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).
