Rachel's beginning balance one year ago was $800.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
The current balance is $836 which is the result of compound interest of 4.5 % annually.
The original amount was a priciple amount P on which interest was applied and the final amount $836 made.
Compound interest formula;
A = P[ 1 + RT/100]^T
Where A is the final amount and T is the time period.
Here,
A = 836 , R = 4.5% and T = 1 year.
So,
836 = P[1 + 4.5/100]^1
P = 836/1.045 = $800
Hence "Rachel's beginning balance one year ago was $800".
For more information about compound interest,
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solve 6x=2y+8, 4x+5y+10=47 by substitution method
the value of x= 3
and the value of y=5
Answer:
(x , y) = (3 , 5)Step-by-step explanation:
[tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]
5) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= 3x-4
B: y= -2/4x+3
Step-by-step explanation:
slope intercept form: y=mx+b
m = slope
slope = rise/run
b = y-intercept
Answer:
A: y = 3x - 4
B: y = -1/2x +3
Step-by-step explanation:
First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.
Given X(4, -7). what are
the coordinates of X" 1EX - R,ax(R, axi, (X)),
A
(4,7)
B
(0,9)
C
(-4, -7)
D
(-4, 7)
Drink A is 20% water by weight, and drink B is 35% water by weight. How many fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%
Answer:
40 fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%
Step-by-step explanation:
35% of 80 oz of drink B = 0.35(80) = 28 oz
0.20(A) + 0.35(80) = 0.30(A + 80)
0.20A + 28 = 0.30A + 24
A = 40Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) right-bracket cubed 2 cubed = left-bracket log subscript 3 baseline (x 5) right-bracket squared 3 squared = x 5 2 cubed = x 5
The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get [tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
The equation given is:
[tex]\log_3(x+5) = 2[/tex]
By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:
[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
What is the slope of the line 3 = 4 + 5?
Answer:
4/3 = slope
Step-by-step explanation:
Which number is the best estimate of 2.3 x 3.6?
O A. 6
OB. 8
O c. 9
OD. 12
Answer:
B. 8
Step-by-step explanation:
Explanation: 2.3x3.6 is 8.28, and we round down to 8 because 8.28 is closer to 8 than 9.
let p be a polynomial function where p(x)=x4- dx3 + 8x2 - 10x + 4 if (x-2) is a factor of the polynomial, what is the value of d?
Answer:
d = 4
Step-by-step explanation:
If (x -2) is a factor of polynomial p(x), then the remainder will be zero.
⇒ p(2) = 0
[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]
16 - 8d + 8*4 - 20 + 4 = 0
16 - 8d + 32 - 20 + 4 = 0
-8d + 32 = 0
-8d = - 32
d = -32/(-8)
[tex]\boxed{d = 4}[/tex]
Find the product: seven multiplied by ten fourteenths Leave your answer as an improper fraction.
seventy fourteenths
seventeen fourteenths
seventeen twenty ones
seventy twenty ones
Answer:
seventy fourteenths
Step-by-step explanation:
seven = 7
ten fourteenth = 10 fourteenth
one-fourteenth = 1/14, so ten fourteenths = 10/14
7 * 10/14
when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator
7 = 7/1 as anything divided by 1 equals itself
7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths
If 2/5 of the judges were wearing their powdered wigs, what fraction of the judges were not wearing their powdered wigs?
Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.
[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]
what will you divide by 1/2 to get 2?
Answer:
0.25
Step-by-step explanation:
1/2 divided by 0.25 gives you 2. If you want approval do it on a calculator.
Hey there!
EQUATION: 1/2 ÷ x = 2
REWRITE: 1/2x = 2
MUTLTPLY 2x to BOTH SIDES
1/2x * 2x = 2 * 2x
SIMPLIFY IT!
1 = 4x
4x = 1
DIVIDE 4 to BOTH SIDES
4x/4 = 1/4
SIMPLIFY IT!
x = 1/4
Therefore, your answer is: 1/4
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
Solve the system of equations (1 point)
y = 2x(squared) – 3
y = 3x - 1
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]y = {2x}^{2} - 3[/tex]
[tex] {2x}^{2} - 3 = y[/tex]
[tex] {2x}^{2} = y + 3[/tex]
[tex]\frac{2x^{2}} {2} = \frac{y + 3}{2}[/tex]
[tex] {x}^{2} = \frac{y + 3}{2} [/tex]
[tex]x = \sqrt \frac{2y + 6}{2}[/tex]
───────────────────
2.
[tex]y = 3x - 1[/tex]
[tex]3x - 1 = y[/tex]
[tex]3x = y + 1[/tex]
[tex] \frac{3x}{3} = \frac{y+1}{3}[/tex]
[tex]x = \frac{y + 1}{3}[/tex]
═══════════════════
Explanation:
#Carry on learning
-6719+2376
Show how you worked it out
Answer:
-4343
Step-by-step explanation:
-6719
+2376
-----------
-4343
See the picture for my question.
Jacinta compares the volume of two boxes. Both boxes have a width of
2. 5
2. 5 inches, and a height of
10
10 inches. The larger box has a length of
8
8 inches. The smaller box has a length that is
75
%
75% of the length of the larger box.
Answer:200 in ^3
Step-by-step explanation:
Bob is solving the following linear equation. 17 - 4x - 4= - 10x + 13 + 6x His final two steps are: : 13- 4x = - 4x + 13 = 13= 13 Select the statement that correctly interprets Bob's solution. A The solution is x = 0. ® The solution is the ordered pair (13, 13). © There is no solution since 13 = 13 is a true statement. © There are infinitely many solutions since 13 = 13 is a true statement.
The equation 17 - 4x - 4= - 10x + 13 + 6x is a linear equation
The true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
How to determine the true statement?The equation and the steps are given as:
17 - 4x - 4= - 10x + 13 + 6x
13 - 4x = -4x + 13
13 = 13
The final step where both sides of the equation are represented by the constant value 13 means that:
The equation has infinitely many solutions
Hence, the true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
Read more about linear equations at:
https://brainly.com/question/14323743
14. Which of these functions is linear?
A. xy = 12
B. y = x5 - X4
C. 3x + 5y = 9
D. y - 2 = x(x + 1)
Answer:
3x + 5y = 9
Explanation:
A linear function is represented by the equation: y = mx + b
In option C:
3x + 5y = 9 is a linear equation as it has slope and y-intercept
Linear means degree is 1
#A
xy=12Not linear
#B
y=x⁵-x⁴Degree is 5 not linear
#C
3x+5y=9Linear
#D
y-2=x²+xDegree is 2 hence quadratic
Round 5.78575184279 to the nearest whole number.
Answer:
6
Step-by-step explanation:
5.7 is already immediately 6 because if a number after the whole number is 5 or more you round up.
6
Step-by-step explanation:
Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem
Answer: converse alternate exterior angles theorem
Step-by-step explanation:
What is the Pythagorean Theorem and when can you use it?
Step-by-step explanation:
The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.
You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side.
PLS HELP 45 POINTS whats the answer?
Answer:
Step-by-step explanation:
d or b
Answer number 9 please thanks
The price of an item has been reduced by 80% . The original price was $85. What is the price of the item now?
and fast pls it is due today and thx u!.
Let the price be x
x=85-80% of 85x=85-0.8(85)x=85-68x=$17Price is $17 now
dont mind the answer that I picked on accident and pls dont send no PDF or a image to download
Answer:
I guess that X measures 50° because X and 50 are vertically opposite angles...
Bubba's Boot is a favorite stop of visitors to Nashville's downtown shopping
area. Last year 2.42 x 105 people visited Bubba's. This year it has become an even
more popular venue with 2.53 x 106 visitors. About how many more visitors have
been to Bubba's this year than last year?
Scientific Notation: 2.29 × [tex]10^6[/tex]
Standard Form: 2288000
I hope this helps you
:)
Answer:
About 12 more visitors ( 12.08 to be exact)
What is the slope of the line that contains the points (13, -2) and (3, -2)?
Answer:
the slope = 0
Step-by-step explanation:
we notice that the points (13, -2) and (3, -2) have the same y-coordinate -2
Then
the slope = 0
I urgently need help!! Please!!
Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]
Step-by-step explanation:
Careful with simplifying every step.
Is the function F(x)=5x2
!!20 points and Brainliest!!! PLEASE ONLY ANSWER IT IF YOU KNOW THE ANSWER PLEASE!!!
What should be done to x^2 - 12x to create a perfect square?
A) add 36
B)subtract 6
C)add 6
D)subtract 36
Answer:
add 36
Step-by-step explanation:
give me brainliest
Answer:
add 36
Step-by-step explanation:
Please help!! 50 points!!!!
Jim walks 3 miles per hour slower than his friend Steve runs. Steve runs 4 miles per hour slower than his friend Matt rides his bike. Jim walks 25 miles in the same time Matt rides his bike 60 miles. Steve runs 16 miles in the same time Matt rides his bike 24 miles.
Part A: Write an equation to calculate Jim's speed.
Part B: Write an equation to calculate Steve's speed.
Part C: Write two equations that can be used to calculate Matt's speed.
Answer:
Jim=S-3
Steve=M-4
U figure out the last part. I helped
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Let Jim, Steve, and Matt have speeds of j, s, and m respectivelyFrom the problem :j = s - 3 [Jim]s = m - 4 [Steve]Jim takes same time to walk 25 miles at it takes Matt to ride 60 milesj = 25/t₁ and m = 60/t₁Steve runs 16 miles in the same time Matt rides his bike 24 miless = 16/t₂ and m = 24/t₂Equating Matt's Speed in both cases
60/t₁ = 24/t₂t₁/t₂ = 5/2 = 2.5t₁ = 2.5t₂Now, taking Equation 1 :
j = s - 325/t₁ = 16/t₂ - 325/(2.5t₂) = 16/t₂ - 310/t₂ = 16/t₂ - 36/t₂ = 3t₂ = 2 st₁ = 2.5(2) = 5 secondsEq.1) m = 60/5 [Matt]Now, taking Equation 2 :
s = m - 416/t₂ = 24/t₂ - 48/t₂ = 4t₂ = 2 secondsEq.2) m = 24/2 [Matt]