The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
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Someone pleaseee help
(middle school math)
photo math isn't helping me rn lol
Answer:
x≤−9 or x≥5 or x=0
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2(x+9)(x−5)≥0
x4+4x3−45x2≥0
Let's find the critical points of the inequality.
x4+4x3−45x2=0
x2(x−5)(x+9)=0(Factor left side of equation)
x2=0 or x−5=0 or x+9=0(Set factors equal to 0)
x=0 or x=5 or x=−9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−9(Works in original inequality)
−9≤x≤0(Doesn't work in original inequality)
0≤x≤5(Doesn't work in original inequality)
x≥5(Works in original inequality)
Answer:
x≤−9 or x≥5 or x=0
I also recommend MathPapa or Symbolab to help you with your math.
What is the slope of y=-5+4xy=−5+4xy, equals, minus, 5, plus, 4, x?
Answer:
-5/4
Step-by-step explanation:
The slope of a line y=4x-5 is 4.
The equation of a line is y=-5+4x.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
The standard form of equation of line is y=mx+c
m is a slope of a line and c is y-intercept
Compare the equation y=4x-5 with y=mx+c, we get m=4
Therefore, the slope of a line y=4x-5 is 4.
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Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
Lamar buys $75 worth of clothes. He pays $81, including sales tax. What is the tax rate?
A.) 6%
B.) 7.4%
C.) 8%
D.) 9.2%
Note: If you do not know the answer please don't answer. I've had quite a number of answers that are not helpful in ANYWAY. T^T
Answer:
C.) 8%
Step-by-step explanation:
75$ × 8% = 6
75 + 6 = 81
i added a picture from google for those who claim my answer is wrong
for the $, state its worth as a percentage of $1 .$5
The quotient of 4 ÷ 7 is a decimal number .How many digits in the quotient are overlined?
Answer:
2 digits in the quotient are overlined
A teacher has a 2-gallon (32-cup) container of juice. She gives each student 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?
y = 32 x minus one-half
y = one-half x minus 32
y = negative one-half x + 32
y = negative 32 x + one-half
Answer:
the first one
Step-by-step explanation:
Answer: A. y = 32 x minus one-half
THANKS PLEASE<33Consider the diagram.
Line l is a perpendicular bisector of line segment R T. It intersects line segment R T at point X. Line l also contains point S.
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
The segment that has the same measure as ST is SR
What are line segments?Lines segments with the same measures have the same lengths
From the question, we have the following highlights
Line segment I bisects line segment RT at point XLine segment I contains point SThe highlight (I) above means that:
Line segments RX and SX are congruent
Given that:
Line segment I contains point S
Then it means that:
Line segments ST and SR are congruent
Hence, the segment that has the same measure as ST is SR
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2/5 is the slope of a line parallel to
Y=2/5x+2.
True
False
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (1, 11) and
B (3, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
Answer:
y = -5x+16
Step-by-step explanation:
I think this is the answer. The slope of A and B is -5x, because
(1-11)/(3-1) = -5
Then solve for b by inputting one of the points
11 = -5(1) + b
11 = -5 + b
b = 16
Put it all together.
I think I answered this correctly..?
graph triangle JKL and its image after a reflection in the line y=-3
write an exquivalent expression for (2m+3)(m-1)
Answer:
[tex] {2m}^{2} - 3 + m[/tex]
Write the slope-intercept form of the equation
6y-9x=36
Answer:
y= -3x + 12
Step-by-step explanation:
Hope this helps ! :)
I need help with this equation
Step-by-step explanation:
whats the equation lol
Answer:
What equation......
Step-by-step explanation:
IDG
how do you solve negative exponents?
Answer:
Step-by-step explanation:
Negative Exponent Rule:
, this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
Hannah's favorite cereal comes in 2 sizes:
775 grams for $6.45 and
400 grams for $3.15.
Which is the better buy? Why?
(6h+8) - (3h+2) = 15
Answer:
h = 3
Step-by-step explanation:
This is the answer because:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of 1/4 of an inch. They have a choice of which type of paper to print the book on. Bond paper has a thickness of 1/4 inch per one hundred pages. Write an equation for the width of the book, y, if it has x hundred pages, printed on bond paper.
Answer:
1/4x+1/4y=?
Step-by-step explanation:
I need the answers to
Using Water Efficiently
imkendallhunt
15.3
Thanks!
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
answer the question for good boy stars
Answer:
its-5.5°C
explanation
combine it
Answer:
the answer is br-br
Step-by-step explanation:
that is answer bro
What is the measurement of YZ and the measurement of angle Y
Answer:
Yz=12 cm
m<Y=26
Step-by-step explanation:
angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.
77+77+x=180
154+x=180
x=26
Find the 54th term of the arithmetic sequence -7, -23, -39, ...
Answer:
-871
Step-by-step explanation:
Equation: -16x - 7
54th term: -16(54) - 7 = -864 - 7 = -871
what are the solutions of x2-4x+5=0
please help!!
Answer:
The solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2-4x+5=0[/tex]solving the equation
[tex]x^2-4x+5=0[/tex]
subtract 5 from both sides
[tex]x^2-4x+5-5=0-5[/tex]
[tex]x^2-4x=-5[/tex]
[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]
[tex]\left(x-2\right)^2=-1[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-2=\sqrt{-1}[/tex]
As the imaginary rule is given by
[tex]\:\sqrt{-1}=i[/tex]
so
[tex]x-2=i[/tex]
[tex]x=i+2[/tex]
solving
[tex]x-2=-\sqrt{-1}[/tex]
[tex]x-2=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
[tex]x=-i+2[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
A cake recipe contains sugar and flour in the ratio 3 : 2.
How much of each ingredient is needed to make 600 gram of such a cake?
Answer:
360 g of sugar and 240 g of flour
Step-by-step explanation:
add the parts of the ratio, 3 + 2 = 5 parts
Divide the total by 5 to find the value of one part of the ratio.
600 g ÷ 5 = 120 g , thus
3 parts = 3 × 120 g = 360 g ← amount of sugar required
2 parts = 2 × 120 g = 240 g ← amount of flour required
Answer:
360 grams of sugar and 240 grams of flour
Step-by-step explanation:
First, find the sum of the parts of the ratio: 3 + 2 = 5
Divide the total amount (600) by the amount of parts:
600/5 = 120
Now multiply 120 by the amount of each part of the ratio:
210 * 3 = 360
360 * 2 = 240
360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.
Hope this helps :)
find the derivative of respect to x.
[tex] sin3x[/tex]
Answer:
Dx [sin3x] = 3cos3x
General Formulas and Concepts:
Calculus
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Derivative of trig functionsBasic Power Rule: f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
sin3x
Step 2: Find derivative
Apply operative: Dx [sin3x]Chain Rule: cos3x · 3Simplify: 3cos3xSuppose you are interested in signing up for a cell phone plan. There are two plans available.
Plan 1
$95 start-up fees
$20 per month after the 1st month
Plan 2
No start-up fee
$35 per month after the first month
Answer:
The first plan is better
Step-by-step explanation:
The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.
Will give brainliest if correct.
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Area of the base= 324cm square , Height=8cm. Find the volume of the cylinder.
Plz tell as fast as possible. PLZ
What is the slope of the line shown?
Answer:
-2
Step-by-step explanation:
from one point to another, you go down 2 and over 1
Answer:
the answer is -2
Step-by-step explanation:
this is because for every unit it goes to the right it goes down 2 which makes it negitive if it is facing down and positive if facing up.
