Answer: The simplified form of 2x · 5z · y is 10xzy.
Step-by-step explanation:
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
I NEED THIS ASAP !!!!!!
Step-by-step explanation:
step 1. c = 14(pi) m = 43.96m
step 2. c = 2(pi)(3) = 6(pi) m = 18.84in
Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and John paid including tax
Answer:
$5.40
Step-by-step explanation:
First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40
Please help me id you want BRIANLEIST!!! :)) ty!!!
Answer:
5/3
Step-by-step explanation:
4 × x = (6×3+2)/3
---> 4x = 20/3
----> x = 20/12
----> x=5/3
Hope it helps
Answer:
5/3
Step-by-step explanation:
19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression
Answer:
70/100.
Step-by-step explanation:
When adding fractions, you need to find a common denominator.
This just means that the numbers at the bottom of both fractions you are adding must be the same.
So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).
To do this, you need to multiply 10 by 10 to get 100.
What you do to the bottom, you must always do to the top as well.
So multiply 7 by 10 and get 70.
70/100 will replace 7/10.
Now you can add fractions because the bottom numbers are the same.
Write the equation of the line.
can anybody help pls
Answer:
2t
Step-by-step explanation:
The expressions are not the same because different terms are negative. We can visualize the difference by rewriting the expressions as 13t + (-2t) and (-13t) + 2t. In the first expression, 13t-2t, the 2t is negative because it is being subtracted, and subtracting a number is the same as adding a negative.
HELLPPPP PLSSSS HELPPPPPPP
A circle has an area of 113 square centimeters. What is the radius of the circle?
So, first you want to have 113 then you are going to want to divide it by pi or 3.14. After that, square it.
Your answer would be 6
What is the formula for finding the circumference for a circle with just the radius?
Answer: The formula is C=2 π r
Step-by-step explanation: Hope this helps
The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61
Answer:
A
Step-by-step explanation:
P=2L+2w
P=61
W=W
Since length is 4cm longer
Therefore length=W+4
General equation=2w+2(w+4)=61
Solve each system by graphing y = -3x - 4,y = 1/2 x + 3
Answer:
answer is x=-2, y=2
Step-by-step explanation:
y=-3x-4,
y=1/2x+3
now plug in any points for x for both equations. I will plug in both x as 0.
y=-3(0)-4
y=-4
(0,-4)
y=1/2(0)+3
y=3
(0,3)
We have points now to plot on a graph.
Continue what I did. Maybe plug in 1 for x for both equations.
Hope this helps!
Answer:
x= [tex]\frac{-8y -6}{7}[/tex]
Step-by-step explanation:
Step 1: Add (-1)/2x to both sides.
−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x
Step 2: Add 4y to both sides.
[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y
[tex]\frac{-7}{2}[/tex] x = 4y + 3
Step 3: Divide both sides by (-7)/2.
[tex]\frac{-7 }{2}[/tex] x
= 4y+3
[tex]\frac{-7}{2}[/tex] [tex]\frac{-7}{2}[/tex]
A computer store buys a computer system at a cost of $370.80. The selling price was first at $618 , but then the store advertised a 20% markdown on the system.
Answer:
The answer is 494.40 for the first question and then the second answer is 395.52
Step-by-step explanation:
Answer:
$494.40
Step-by-step explanation:
618 x 20% or .2 = $123.60.
$618 - $123.60= $494.40.
Hope this helps!
HELP I NEED HELP ASAP
Answer:
A. The number of people infected increases expontially by approximately 80/ per month
Step-by-step explanation:
I'll just remind
The sides of a rectangle have length x+1 and width x-5. which equation below describes the area A of the rectangle in terms of x?
PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM
ven a chuparme el huevo
How many distinct, real solutions does the following equation have?
x^2=49
A) Two distinct, real solution
B) One distinct, real solution
C) No solutions
Answer:
A) two (they are 7 and -7)
Step-by-step explanation:
What is the sum of the measures of the interior angles of a 12-gon ?
A: 1620
B: 1800
C: 1980
D: 2160
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!!
question: which angles are vertical angles?
6 and 7 are vertical.
5 and 8 are vertical.
Answer:
<AOD, <BOC And <DOC ,<AOB
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
9514 1404 393
Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
will give brainliest please help
Answer:
16g + 24 - (13g- 15)
length - width
perimeter = 2(length) - 2(width)
2(16g+ 24) + 2(13g-15)
32g + 48 + 26g - 30
58g + 18
Ifj. 1. what is the value of i
Answer:
i
Step-by-step explanation:
The square root of a negative number is identified as an imaginary number (i )
An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.
The answer is:
i
Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested
9514 1404 393
Answer:
2310
Step-by-step explanation:
Assuming "this particular sale" totals 33000 in its entirety, the commission is ...
20% × 33000 = 6600
The amount of that going to the savings account is ...
35% × 6600 = 2310
The amount invested is 2310.
Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,12. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=3,1
Step-by-step explanation:
Hope it is helpful.....
Answer:
x = 1
Step-by-step explanation:
Solving the equations
4x² - 12x + 4 = - 4 ( add 4 to both sides )
4x² - 12x + 8 = 0 ( divide terms by 4 )
x² - 3x + 2 = 0 ← in standard form
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
-------------------------------------
- x² + 4x - 3 = 0 ( multiply through by - 1 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
The solution that is true for both equations is x = 1
Please find the value of X and Y will mark brainliest
Answer:
y=34.5 degrees
x=17 degrees
Step-by-step explanation:
2y=69 because it is a corresponding congruent angle
y=34.5 degrees
2y=3x+18
69=3x+18
3x=51
x=17
−5⋅16 will result in a
number. Is it positive or negative
Answer:
negative
Step-by-step explanation:
-5x16=-80
Answer:
negitive
Step-by-step explanation:
a negitave multiplied by a positive is still a negitive
express 4x-1= 3 as a linear equation in two variables
Hello there!
~I hope you and your family are staying safe and healthy!
[tex]4x - 1 = 3[/tex]
We need to start by saying that y = 3
[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]
Thus, the equation above is in the two variable form where y = 3
Thus, the required equation is [tex]4x - y = 1[/tex]
Let me know if you have additional questions!
~Garebear
3. Find the area of the
shaded region.
Answer:
8 times 2 is 16 and with the line in the middle divide by 2 which is 8!
Answer:
16ft because if one side is 8ft and its split in the middle then the other side is 8ft making the answer 16ft
The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle
Answer:
17 meters x 20 meters
Step-by-step explanation:
perimeter = 2 widths + 2 lengths
74 = 2W + 2L
L = W + 3
substitute for L
74 = 2W + 2(W + 3)
74 = 4W + 6
68 = 4W
W = 17 meters
L = 20 meters
Answer:
Step-by-step explanation:
Givens
Let the width = w
Then the Length = w + 3
Formula
P = 2L + 2W
P = 74
Solution
Substitute w + 3 for L
2(W + 3) + 2W = 74 Remove the brackets
2W + 6 + 2W = 74 Collect Like Terms
4w + 6 = 74 Subtract 6 from both sides
4w = 74 - 6
4w = 68 Divide by 4
w = 68/4
w = 17
L = w + 3
L = 17 + 3
L = 20
Check
P = 40 + 34
P =74
Please help urgent !!
A or D. not sure 'bout it. sorry.
Answer:
b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]
