The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.
What is an interest in banking?Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formula for calculating compound interest is expressed as;
A = P(1 + r/k)^(k*t)
Where A is final amount, P is initial principal balance, r is interest rate, k is number of times interest applied per time period and t is number of time periods elapsed.
Given that;
Initial principal balance P = $40500Interest rate r = 3.8= 3.8/100 = 0.038Time t = 20 yearsNumber of times interest applied per time period = 12 (annually) = 12/12 = 1 Amount accumulated A = ?A = P(1 + r/k)^(k*t)
A = 40500(1 + 0.038/1)¹ˣ²⁰
A = 40500 × (1.038)²⁰
A = 40500 × 2.10837
A = $85389
Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.
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Find the length of arc XPY. Leave your answer in terms of pi.
Answer:
2π m.
Step-by-step explanation:
Arc XY is 1/4 of the circumference of the circle
= 1/4 * 2π * r
= 1/2 π * 4
= 2π m.
(x) = -2x - 3
g(x) = 3x + 1
Find (f .g)(x)
Answer:
Answer:-6x^2 -11x - 3
Step-by-step explanation:
(f.g)(x)=(-2x-3)(3x + 1)
= -6x^2 -11x - 3
Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?
Answer:
a⁴ - 81
Step-by-step explanation:
Identity applied :
(a + b)(a - b) = a² - b²
Simplifying :
(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81Aline has a slope of 6 and includes the points (-9, 0) and (-8, a). What is the value of a?
Submit
Please help
Answer:
a = 6
Step-by-step explanation:
Given information:
Slope = 6
Coordinates: (-9, 0) and (-8, a)
Slope formula = y2 - y1 / x2 - x1
Substitute the given values into the formula.
6 = a - 0 / -8 - (-9)
6 = a - 0 / 1
6 = a - 0
a = 6
hope this helps!! p.s. i really need brainliest :)
can anyone tell me what point I plot these two at pls
Answer:
[tex]x^{2} +y^{2}=25[/tex]
[tex]x^{2} +y^{2}=5[/tex]
Radius: 5
Radius: [tex]\sqrt{5}[/tex]
Step-by-step explanation:
(see images below)
Hope this helped!
~rere
Given the following quadratic sequence -2, 0, 3,7
1. Write down the value of the next two terms of this sequence
2. Determine the n term of this sequence
3. Which term of the sequence will be equal to 322?
Answer:
1) 12
2) an=n²+n-6/2
3) the 25th term
Step-by-step explanation:
check explanation in the attached image
Need help on this one please
Answer: y = -2x - 4
Step-by-step explanation:
This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.
In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].
For example, I’ll use (-3, 2) and (-2, 0):
Change in y: 2 - 0 = 2
Change in x: -3 - (-2) = -1
Change in y ÷ Change in x = 2 ÷ (-1) = -2
So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.
Now, we can put these together in an equation.
y = mx + b, where m = -2 and b = -4
y = -2x -4
What do you know about measure AEB compared to angle ADB?
Answer:
[tex]m \angle AEB = m \angle ADB[/tex]
Step-by-step explanation:
By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.
The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.
Answer:
y=[tex] \frac{32}{x} [/tex]16Step-by-step explanation:
y=
[tex] \frac{k}{x} [/tex]
when x=4 and y = 8
k =xy
k=4×8=32
:- y=
[tex] \frac{32}{x} [/tex]
when x = 2
y=
[tex] \frac{32}{2} [/tex]
:- y = 16
help please I'm confused
Answer:
Milena level tro bau bola ehh
Answer:
1.3 < x < 6.7
Step-by-step explanation:
The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.
Minimum value : Taking 4.0 to be the 3rd side.
2.7 + x > 4.0x > 1.3Maximum value : Taking x to be the 3rd side
2.7 + 4.0 > xx < 6.7Range
1.3 < x < 6.7Describe the end behavior of each function.
3) f(x) = -x^4+x^2 -x+1
Answer:
End Behavior is
y -> -inf as x -> -inf
y -> -inf as x -> +inf
Step-by-step explanation:
I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.
4. Make a table and graph the function. (1 point)
y = 4x + 2
What is the volume of the Pop-Cone?
What is the price per cubic inch for the Pop-Cone?
Base=5in
Height=8in
PLSS HELP ASAP
Base radius is 5in
Height=8in
Volume
1/3πr²h1/3π(5)²(8)1/3π(8)(25)200π/3209.3in³Answer:
Volume = 13.3 in³ (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
[tex]\textsf{Base area of a cone = area of a circle}=\sf \pi r^2[/tex]
[tex]\implies \textsf{Volume of a cone}=\sf \dfrac{1}{3} h \times \textsf{base area}[/tex]
Given:
Base area = 5 in²Height = 8 inSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume of a cone} & =\sf \dfrac{1}{3} (8)(5)\\\\ & = \sf \dfrac{40}{3}\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}[/tex]
What is the value of 50 x 3 - 120 / 40
Answer:
The answer is 150-3
That is 147
Step-by-step explanation:
Do This
(50 x 3)-(120/40)
150-3
147 is your answer
Look at the image below.
Find the area of the parallelogram.
Answer:
Below.
Step-by-step explanation:
Area = base * perpendicular height
= 3 * 5
= 15 square units.
The area of the parallelogram is 15 square units.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal
Area of a two dimensional shape is the total region which is bounded by the object's shape.
If the base and height is known,
Area of a parallelogram = base × height
Given base = 3
Height = 5
Area = 3 × 5 = 15 square units
Hence the required area of the parallelogram is 15 square units.
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SOMONE PLEASE HELP ME I WILL GIVE YOU 30 POINTS AND BRAINLESS??
Given: mZRPQ = 23°; m ZTPR = 85
If ZSPR and ZRPQ are complementary angles, then what is the measure of ZTPS?
A. 5
B. 18°
C. 23°
D. 67°
Answer:
I would think 23°
Step-by-step explanation:
I could be wrong but I would think 23° because if I remember correctly they're congruent.
What is the slope of a line parallel to the line whose equation is 6x + 5y = -5.
Fully simplify your answer.
➢◇✳︎✧✥---------------------------------------------✥✧✳︎◇⤎
[tex]Hello[/tex] [tex]There![/tex]
We need to find the slope of the line that's parallel to 6x+5y=-5.
It's not hard, I promise! I'm going to take you through a few steps, and we'll find the answer.
Are you ready? Let's start. :)
[tex]Procedure:[/tex]
➢ First, subtract 6x from both sides:
5y=-5-6x
✦ Switch the order of the terms:
5y=-6x-5
➢ Now, divide both sides by 5:
y=-6/5x-5/5
✦ Which is the same as
[tex]\bold{y=-\displaystyle\frac{6}{5} x-1}[/tex]
➢ Part of the problem's already solved! :)
Now, parallel lines have the same slope.
✦So the slope of the line parallel to 6x+5y=-5 is also:
◉ [tex]\bold{-\displaystyle\frac{6}{5}}[/tex] ☑︎
Problem solved! :)
hope it's helpful!wishing you a great day![tex]Greetings ![/tex]
◆ • ❖ _____________________________________❖ •. ◆
Step 1: 3x + 12 = 3 Step 2: ? Step 3: x = −9 ÷ 3 Step 4: x = −3 What is the missing Step 2? 3x = 9 3x = 15 3x = −9 3x = −15
The missing step is to subtract 12 from both sides of the equation.
The step would be:
3x = -9
How do I use the standard altherigm?
Answer:
Step-by-step explanation:
The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. What you do with this algorithm is multiply the top number by the bottom number one digit at a time, working your way from right to left.
A person works and earns $3853 dollars but on a pay stub pays 49% to tax. What is the sales Tax?
Answer:
1887.97 (3853 * 0.49)
Step-by-step explanation:
3853 * 0.49
Given the following equation what is the value of y if x = 7
what is the maximum monthly credit obligation that she has
Answer:
$373.50
Step-by-step explanation:
Her monthly maximum obligation should be 15% of Bridgette's take-home pay of $2490.
$2490×15% = $373.50
help will mark Brainliest!!
Answer:
-20.5
Step-by-step explanation:
Using a basic calculator, you divide 10.25 by -.5 which easily gives -20.5
HELP! ASAP PLS! find the surface area of this solid
Answer: 855 I think :)
Help asap please. Thank you!!!!
Answer:
Step-by-step explanation:
You've plotted 3 points where x = 0, 1 and 2
= where y = 1, 1 1/2 and 9/4
They are correct.
I suggest you plot 1 more where x = -1 and another where x = 3
Where x = -1 , y = (3/2)^-1 = 2/3.
x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.
I really need help with this.
Answer:
300 cm cubed or 300 cm^3
Step-by-step explanation:
(b x h ) / 2 = Area of triangle
5 x 12 = 60
60 / 2 = 30
Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.
30 x 10 = 300 cm cubedor 300 cm^3
Answer:
1/2BA*2+l*w
1/2*12*5*2+10*13+12*10+10*5
=360cm
[tex]\sqrt{272}[/tex] Simplify.
√272 is a real number, and the simplified expression of √272 is 4√17
How to simplify the expression?The expression is given as:
√272
Expand
√272 = √16 * 17
Take the square root of 16
√272 = 4√17
Hence, the simplified expression of √272 is 4√17
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Solve 12x
x + 16 - 1 = 0
Answer:
xx=-0.8
Step-by-step explanation:
not sure if this is right because the 12xx is kind of strange
12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8
how do you convert weight measurements?
Answer:
See below
Step-by-step explanation:
You will need to know the conversion factors for each type of measurement
example 1 pound = 2.204 Kg
or 1 pound = 16 ounces
or 1 ounce = 28.35 gm
etc
Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?
Answer: 180 minutes
90 miles in 3 hours
Step-by-step explanation:
60 minutes = 1 hour
60 mins/20 mins = 3
60*3 = 180
30 miles per hour for 3 hours is 90 miles