Cathy would like to have accumulated $25,000 on her IRA account in 5 years. The return is 3.1%. How much should Cathy deposit in her account annually?
$1,329.94
$2,711.73
$4,699.46
$5,000.00
Answer:
Annual deposit= $4,699.46
Step-by-step explanation:
Giving the following information:
Future value (FV)= $25,000
Number of periods (n)= 5 years
Interest rate (i)= 3.1% = 0.031
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (25,000*0.031) / [(1.031^5) - 1]
A= $4,699.46
What is | a-4b | if a=7 and b=2?
Answer:
-1 , I think it is correct , if not plz forgive
Step-by-step explanation:
a -4b
7-4×2
7- 8
=-1
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
please help!! i’ll give a brainliest!!
Sally has a cube numbered from 1 to 6. She tosses the cube onto the floor 54 times. How many times should she expect it to land on a 4?
Answer:
roughly 9 times
Step-by-step explanation:
each side on a standard 6 sided die has a 1/6 chance of landing. you you multiply (1/6)×54 you would get the answer 9 so theoretically you would get a "4" 9 times
Jasper and Corey have saved up a total of $78.00. Jasper has saved 6 dollars more than twice as much as
Corey. How much has Corey saved?
Answer:
24
Step-by-step explanation:
Corey has saved an amount of 24 dollars, if they have saved up a total of $78.00.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that Corey has saved an amount of x dollars.
Given that Jasper and Corey have saved up a total of $78.00.
Jasper has saved 6 dollars more than twice as much as
Corey.
As per the given condition, the algebraic form is:
(6 + 2x) + x = 78.
Rearrange the terms of variables of x in the above equation,
6 + 2x + x = 78
Apply the addition operation,
6 + 3x = 78
Subtract 6 from both sides in the equation,
3x = 72
Now divide both sides by 3 in the equation,
x = 24
Therefore, Corey has saved an amount of 24 dollars.
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What is the perimeter of JKLM?
Answer:
45
Step-by-step explanation:
∡L ≅ ∡M, given
ΔKLM is isosceles because base angles are congruent
KM ≅ KL and KM = KL
KL = 12
∡K =∡J = 60°, given
∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°
∡M = 60
∡K =∡J =∡M = 60°
ΔKJM is is equilateral because all angles have the same measure.
KM = 12
KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal
ML = 9, given
The perimeter of JKLM is the sum of the sides
P = ML +KL +KJ +MJ
P = 9 + 12 + 12 +12 = 9 +36 = 45
HELPP ME PLEASEEEEEE
Answer:
4
Step-by-step explanation:
=1/2×8
=4
Hope this helps u....
Answer:
1/2 ÷1/8
i.e 1/2×8
= 2÷8=4
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
A gas occupies 210 mL at -73°C. To have the same gas occupy 360 mL, should the temperature be increased or decreased?
Answer:
Decrease
Step-by-step explanation:
The regular price for Super Fly Sneakers at Shoes R' Us is $100. The shoes are on sale for 35% off the regular price. Jazmine uses a coupon for an additional 25% off the sale price. How much will Jazmine pay for her Super Fly Sneakers after both discounts
Answer:
$48.75
that is the answer
Answer:
Jazmine will pay only $40 for both discounts.
Step-by-step explanation:
First we need to add the two discounts, 35% + 25% = 60%.
Now we need to convert 60% into a decimal, which is 0.60.
Now we need to multiply the regular price, $100, by 0.60.
$0.60 × $100 = $60.
Now we subtract the discount by the amount, $100 - $60 = $40.
Please help me with 9
Answer:
Fourth choice, 1/6
Step-by-step explanation:
15 + 8 + 10 + 12 + 15 = 60
Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6
how can graphs be used to find related data
Can y'all please help with this.....will give brainliest :)
Answer:
Concept: Algebraic Representation
4550 < n < 45704500 < n < 4700Pete walker further than Naomi a. 110 < x < 130b. 1.22 < x < 1.26c. 0.0084 < x < 0.0154Step-by-step explanation:
hi Pinku let's talk I want u to be ur true friend
E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Sagar at a profit of 10%. If Sagar pays 35060 for the article, what was its
cost price?
Answer:
the cost price is 27,715
Step-by-step explanation:
Let the cost price be x
As Amab sells to Vivek at 15% profit
So the selling price be
= 115 ÷ 100 × x = 1.15x
And Vivek sells to sagar at a profit of 10%
= 1.15x × 110 ÷ 100
= 1.265x
Now sagar pays it for 35,060
So , the cost price be
1.265x = 35,060
x = 27,715
Hence, the cost price is 27,715
What is the answer to 6and 7
Answer:
It might just be me but the pic is super blurry could you possibly get a better one?
Step-by-step explanation:
Complete an error analysis for each of the questions below.
Answers:
1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.
2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.
Now create two of your own showing common errors that are made, and explain why you think these are the common errors:
In the image below ↓
what does f(-3)= ? .
Answer:
10
Step-by-step explanation:
Answer:
12
f = function
your functions are the 1st box and your outputs are the second box
Find the slope of the line that contains the points named.
X(2, -1), Y(0, 4)
Answer:
- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)
Step-by-step explanation:
I would suggest to use a table so....
x y
2 0
-1 4
from 0 to 4 you add 4
from 2 to -1 you subtract 3
so y/x
4/-3 = - 1 1/3 or - 1.333333
Hope this helped a little!
Answer:
actually the answer is -5/2
Step-by-step explanation:
Which of the following is a monomial?
A.−5x
B.5x+1
C.x2+x
D.x+5+x−7
Answer:
A.
Step-by-step explanation:
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.
Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.
Divide $85.50 by 6
$85.50/6 = $14.25
Therefore, the rate per hour for renting the scooter is $14.25
What is 3x-2y=24 in slope intercept form??
this doesn't make sense how do you find the y and x and slope
Answer: 3x-2y=24 in slope intercept form is [tex]y=\frac{2}{3}x -12[/tex]
The graph of the equation is in the attachment
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.
You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.
3x - 2y = 24 Standard form. Subtract 3x from both sides.
-2y = -3x + 24 divide both sides by -2
-2y/-2 = -3x/-2 + 24/-2 . Simplify.
y = 3x/2 - 12 .
To clarify the slope as a fraction
[tex]y=\frac{2}{3}x -12[/tex]
Gabriella expects to earn $50 in tips during her shift as a waitress. In addition to tips she earns $8 and hour. If she wants to make ateast $114 today how many hours does she need to work
A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation
measures the cyclist's distance, x, from the starting point?
52 = x2 + 32 – 2(3)(x)cos(100°)
52 = x2 + 32 – 2(3)(x)cos(140°)
x2 = 52 + 32 – 2(5)(3)cos(100’)
x2 = 52 + 32 – 2(5)(3)cos(140°)
Answer:
D. x2 = 52 + 32 – 2(5)(3)cos(140°)
Step-by-step explanation:
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.
The distance, x, from the starting point is;
From the cos law ;
x² = a² +b²-2ab cosΘ
From the digrame it is obtained that;
a =5
b =3
Θ = 180 ° +70° -30°
Θ = 180°- 40°
Θ = 140°
Substitute the values;
x² = a² +b²-2ab cosΘ
x²=5²+3²-2(5)(3)cos(140°)
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).
Hence option B is corect.
To learn more about the distance refer to the link;
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kapil bought 40 dolls for Rs.4800. He sold all the dolls at the rate of Rs. 700 per 5 dolls after somedays. How muchprift or loss did he gat in one doll,? Find ut
express the first quantity as a percentage of the second
a. 80cents of $9.60
Answer this question. please. I really need help
Answer:
8.33%
Step-by-step explanation:
We are told to:
Express the first quantity as a percentage of the second
a. 80cents of $9.60
The first quantity is 80 cents, the second quantity is $9.60
Step 1
We convert 80 cents to a dollar
100 cents = $1
80 cents = $x
$x = 80/100 = $0.8
Step 2
We express $0.8 as a percentage of $9.60
Hence, we have:
$0.8/$9.60 × 100
= 8.33%
HELPPPPP!!!!!!!!!!!!
Answer:
C
Question:
can i get brainlyist.
Mr.paul can peel 300 coconuts in 1 hour. How many coconuts will he peel in 1 minute?
Answer: 5 coconuts
Step-by-step explanation:
There are 60 minutes in 1 hour
300/60=5
Answer:
5
Step-by-step explanation:
300/60= 5 per min
The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?
Answer:
17°C
Step-by-step explanation:
temperature rises by 13, so the temperature will be 4+13 = 17°C
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?