Answer:
A = $ 7,449.23
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 2,449.23
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)(^1/nt) - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Formulas where n = 1 (compounded once per period or unit t)
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r)^t
Calculate Principal Amount, solve for P
P = A / (1 + r)^t
Calculate rate of interest in decimal, solve for r
r = (A/P)1/t - 1
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)
Continuous Compounding Formulas (n → ∞)
Calculate Accrued Amount (Principal + Interest)
A = Pe^rt
Calculate Principal Amount, solve for P
P = A / ert
Calculate rate of interest in decimal, solve for r
r = ln(A/P) / t
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / r
The football team has a total of 20 jerseys. There are 8 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
40%
Step-by-step explanation:
:)
a fence has a perimeter of 240 yards the length is 16 yards longer than the width
Graph the equation y=-x^2-4x+5y, on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation -x^2-4x+5=0.
Answer: two points, 1,7
Step-by-step explanation:
The two points that are (1,0) (7,0) is the answer because they are the roots (x).
Find the area of the trapezoid.
Answer:
b
Step-by-step explanation:
i took that test a while back.
pls help−4(3/2x−1/2)=−15
Answer:
17/6
Step-by-step explanation:
what you do first is open up the brackets..
so
-4 x 3/2x and -4 x -1/2
you then multiply these
-12/2x and 4/2
-6x and 2
(-6x+2) = -15
solve for x
-6x=-15 -2
-6x=-17
x=17/6
crossing out the negatives !
Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?
Answer:
$14
Step-by-step explanation:
Oliver earnings per day = $4
Each day, his mom takes $2 and put it into a savings account for Oliver
His savings per day = $2
Oliver's total savings after 7 days = savings per day × 7 days
= $2 × 7
= $14
Oliver gets to keep a total of $14 after 7 days
OK y'all, one more, help please !!
Answer:
1) B
2) A
3) H
4) E
Step-by-step explanation:
Is there another way to convert fractions to decimals?
Consider the line y = 5x-7.
Find the equation of the line that is perpendicular to this line and passes through the point (2. – 5).
Find the equation of the line that is parallel to this line and passes through the point (2.-5).
Answer: 3
ur answer is 3
ILL GIVE BRAINLIEST!!
What is the reciprocal of x^3 and a^2
Answer:
a) [tex]\frac{1}{x^3}[/tex]
b) [tex]\frac{1}{a^2}[/tex]
Step-by-step explanation:
Reciprocal of a number is 1 divided by that number
We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number
a) Reciprocal of x^3
[tex]=\frac{1}{x^3}[/tex]
b) Reciprocal of a^2
[tex]=\frac{1}{a^2}[/tex]
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
are 35:40 and 21:24 equivalent?
Answer:
yes
Step-by-step explanation:
35:40=0.875
21:24=0.875
Answer:
No
Step-by-step explanation:
35 divided by 40 is 0.875 and 21 divided by 24 are 0.875. These are the same answer ( 0.875 = 0.875) so they are equivelent. Hope this helped! If it did, please mark me as brainliest! Thanks!
SECTION 2012
QUESTION OF
ASSIGNMENTS
COURSES
Assignment - 4. Continued Proofs: Transversals and Special Angles
Attempt 1 of 4
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m_7 = m_4
O AB || DC
O none
O AD || BC
NEXT QUESTION
ASK FOR HELP
TURN IT IN
y+c=14........ solve for y
Answer:
7+7=14
Step-by-step explanation:
there is no times in it it's just addition so there for you just need to find what adds up to 14
Answer:
y=14-c
this question is weird
!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 22°
3x + 2 = 64°
Step-by-step explanation:
All angles in a triangle must add up to 180°
90 + x + 3x + 2 = 180
Rearrange and collect like terms and place them on either side
4x = 88
x = 22°
3x + 2
3(22) + 2
= 64°
Give your answer in simplest form.
Answer:
The answer is -1
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
And if you are looking for more help go to math-way
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+4y=-4
Answer:
Don't come at me if I'm wrong, but I think it's y=-3/4x-1 1/3
Step-by-step explanation:
1) you have to subtract 3x from both sides (this makes it 4y=-3x-4)
2) you then divide by 4 on both sides (it will become y=-3/4=4/3)
3) then you simplify the fractions (it becomes y=-3/4x-1 1/3)
if you need help with Math:)
Answer:
Thanks!
Step-by-step explanation:
I already have it on my phone tho lol
A scooter travels 30 feet in 2 seconds at a constant speed.
What is the speed of the scooter in feet per second?
Answer:
15
Step-by-step explanation:
Since it goes 30 in 2 seconds, we need to divide 30 and 2 and end up with 15.
To make sure our answer is correct we know that 15 is one second, so we can add 15+15= which will give us 30, and will also land at 2
Brainliest pls
The speed of the scooter is 15 feet per second.
To calculate the speed of the scooter in feet per second, you can use the formula:
Speed = Distance / Time
The distance traveled by the scooter is 30 feet, and the time taken is 2 seconds.
Plugging these values into the formula, we get:
Speed = 30 feet / 2 seconds
Speed = 15 feet/second
Therefore, the speed of the scooter is 15 feet per second.
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what is 5 to the power of 5 squared?
Answer:
2.9802322e+17
Step-by-step explanation:
Answer:
Uh, the number is 9,765,625.
Step-by-step explanation:
You basically told me to do 5 to the 5th power, which gets me 3,125. Then I had to square that again which led me to get that final answer (9,765,625).
Zombies scare everyone and a mummy is much like a zombie. In fact, their equations are parallel to each other. If the zombie equation is `y=7x+5` and the mummy equation passes through the point (3, 23), what is the mummy's equation?
Answer
y=7x+2
Step-by-step explanation:
you have your slope already so keep slope but remove 5 and turn it into b in order to solve for new equation ...
y=7x+b
sub in (3,23) in your equation
23=7(3) +b
23=21 +b
23-21=b
2=b
your new equation should be y=7x+2
Answer:
y=-1/7+23 3/7
Step-by-step explanation:
Since it's parallel you take the y=7x+5 and the 7 is turned into -1/7(to find what's PARALLEL)
Now you put it into point slope formula to get: y-3=-1/7(x-3)
Simplify the equation.
Hope this helps(^-^)
For the number .843356, round to the nearest 10th
The answer would be .8
The reason is .8 is in the tenths place and the 4 beside it makes it stay the same
Five or more up the score four or less let it rest
Answer: 0.8
Step-by-step explanation:
4. Steve worked 37.5 hours last week for $15.00 an hour. What is his gross pay for the
week?
Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. What is Asia's rate of chopping in onions per hour?
Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. Asia's rate of chopping onions is 30 onions per hour.
From the information given;
Asia chops [tex]\mathbf{7 \dfrac{1}{2} \ onions }[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex]So, the onion is given in mixed fraction which can be converted to an improper fraction as: [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex]
Now,
if Asia chops [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex] Then Asia will chop (x) onions in 1 hour.We can cross multiply the above two equations to determine the number of onions Asia will chop per hour as follows:
[tex]\mathbf{(x) \times \dfrac{1}{6} \ hours = \dfrac{15}{2} \ onions \times 1 \ hour}}[/tex]
Making (x) the subject of the formula:
[tex]\mathbf{(x)=\dfrac{ \dfrac{15}{2} \ onions \times 1 \ hour}{ \dfrac{1}{6} \ hours }}}[/tex]
[tex]\mathbf{(x)={ \dfrac{15}{2} \ onions } \times { \dfrac{6}{1} }}}[/tex]
(x) = 15 onions × 3
(x) = 30 onions per hour.
Therefore, Asia's rate of chopping onion is 30 onions per hour.
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If Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.
Applying the knowledge of proportion and fractions, we can determine Asia's chopping rate of onions per hour.
Given:
Number of onions chopped in 16 hour = 7 1/2 onionsLet number of onions chopped in 1 hour be xUsing proportion, we have the following:
[tex]7\frac{1}{2} = \frac{1}{6} \\\\x = 1[/tex]
Cross multiply[tex]\frac{1}{6} \times x = 7\frac{1}{2} \times 1\\\\\frac{x}{6} = \frac{15}{2}[/tex]
Multiply both sides by 6[tex]\frac{x}{6} = \frac{15}{2}\\\\x = \frac{15}{2} \times 6\\\\x = 45[/tex]
Therefore, if Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.
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A group of friends eat at Jae's cafe. They have an online coupon. The costs of their main courses, before applying the coupon, are $13.99, $16.99, $19.99, and $21.99. The total cost of their drinks is $12.00. What will their bill be before tax and tip?
Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96
Given, prices of main course at cafe .
The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.
Just adding all the costs to find the bill:
= $(13.99 + 16.99 + 19.99 + 21.99 + 12)
=$84.96
Now since the question asks not to apply coupon and tip so the bill will remain as it is .
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Answer the following correct
Answer: a
Step-by-step explanation:
A pair of linear equations is shown:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C
Step-by-step explanation:
I DID THE TEST
The required explanation which is best for the solution of the given equation is option C.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
We are Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
Also The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation
Therefore, "Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines."
Thus, the explanation that is best for the solution is given by Option C
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Find the density of a book with a mass of 24g and a volume of 5cm'.
Solve:
Given:
(24g) (5cm^3)
Answer:
The answer is 4.8 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{24}{5} \\ [/tex]
We have the final answer as
4.8 g/cm³Hope this helps you
Answer: 1.2 × 10-7 m3 kg
Step-by-step explanation:
(24g) (5cm^3)=1.2 × 10-7 m3 kg
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Answer:
$351.9Step-by-step explanation:
the question is not formatted well
A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Step one:
given data
we are told that the price of the small refrigerator contains both the original price and 15% profit
mathematically
$414= original price + 15% profit
Step two:
let us solve for 15% of 414
=(15/100)*414
=0.15*414
=$62.1
This shows that the profit is $62.1
let the original price be x
$414= x + 62.1
solve for x
x=414-62.1
x=351.9
The refrigerator's original cost to the store $351.9
6 is a Natural, Whole, and Integer number,
True or false
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.