Answer:
$10,596.81
Step-by-step explanation:
The balance on an account earning 5% interest compounded quarterly can be found using the formula ...
A = P(1 +0.05/4)^(4t)
where P is the principal invested and t is the number of years.
__
Here, we are investing $7500.00. After 2 years, the account balance will be ...
A = $7500(1 +0.05/4)^(4·2) = $8283.65
After the $1500 withdrawal, the new balance will be ...
$8583.65 -1500.00 = $6783.65
__
This is the amount earning interest for the next year, after which time the balance will be ...
A = $6783.65·(1.0125)^(4·1) = $7129.24
When $2000 is added to the account, the principal earning interest for the last 3 years is ...
$7129.24 +2000.00 = $9129.24
__
The final balance after 3 more years is then ...
A = $9129.24·(1.0125)^(4·3) = $10,596.81
_____
These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.
Which describes the combined variation in the formula h=2a/b?
h varies jointly with 2 and A and inversely with b.
h varies directly with A and inversely with b.
h varies jointly with A and b.
h varies inversely with A and b.
Step-by-step explanation:
h varies directly with a and inversely with b.
2 is the constant of variation.
The length of a rectangle is 3 inches more than it’s width.If the perimeter is 42 inches,find the dimensions of the rectangle.
Answer: Length = 9 in
Width = 12 in
Step-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
Answer:
Answer:
length = 9 in
width = 12 in
Step-by-step explanation:
You have to use the formula for the perimeter of a rectangle
P=2(l+w)
Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equation for X?
Answer:
62.25=35+3x
62.25-35=27.25
27.25=3x
divide both sides by 3
x=9.08 or just 9
* WILL MARK BRAINIEST*
PLEASE HELP
7.03 Understanding Compound Events -
Record your results here:
Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))
Answer:
Tails, tail: 26
Heads: 9
Heads Tails: 26
Tails: 15
Step-by-step explanation:
(credit to the person who answered your question before me)
Have a great rest of your day
#TheWizzer
Here are two fractions.
3/10 5/7
Work out which of the fractions is closer to 1/2
You must show your working.
Answer:
5/7
Step-by-step explanation:
Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2
I hope it helps
which pair of pairs of polygons are congruent.
Answer:
bottom left. (arrow shaped)
Step-by-step explanation:
congruent shapes are the same size and shape
help me please. either one is fine.
Solve on [0,2pi). Answer in order from smallest to biggest
cos x sin x = sin x
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.
A. 2 12/16 = 2 3/4 Ib
B. 2 2/8 = 2 1/4 Ib
C. 2 14/16 = 2 7/8 Ib
D. 2 1/2 Ib
The measured weight is (2 + 3/4) lb, so the correct option is A.
How to read the measure?
First, we can see that the needle is between the 2lb and 3lb mark, so we know that we have a measure between these two values.
Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
If you want to learn more about weight, you can read:
https://brainly.com/question/11408596
Answer: Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
Step-by-step explanation:
Help with this answer
Answer:
down syndrome
Step-by-step explanation:
Please help me find the code for this puzzle l. I included all you will need.
Answer:
Code: AHAN
Step-by-step explanation:
Domain: 0 to 8.
Range: 0 to 18.
0 is A.
H is 8.
N is 18.
According to the line plot how many apples weigh 5/8 of a pound
Answer:
Answer:4 apples weigh 5/8 pound.
Step-by-step explanation:
Answer:
2(−5) − 10 = 2(0)
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement
Arun and Benny started saving at the same time. Each day, Arun
saved $1.20 and Benny saved $0.30 more than Arun. How much would
Arun have saved if Benny saved $11.40 more than Arun?
Answer:
$45.60 would be what Arun would have saved.
how many positive integers are between 28/3 and 83/5
Answer: ur dad
Step-by-step explanation:
lol
There are 7 positive integers in between 28/3 and 83/5.
What is an integer?
An integer is a whole number (not a fractional number) that can be positive, negative or zero.
Given that;
Two fractions are;
28/3 and 83/5.
Now, Write fraction into decimal form as;
28/3 = 9.33
83/5 = 16.6
So, All Integers in between 9.33 and 16.6 are;
⇒ 10, 11, 12, 13, 14, 15, 16
Thus, There are 7 positive integers in between 28/3 and 83/5.
Learn more about the integers visit:
https://brainly.com/question/24653557
#SPJ2
If cosθ=2/3 find cscθ using identities. This is in quad. 1.
Step-by-step explanation:
cos θ = 2/3[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]
Hence, base = 2 units and hypotenuse = 3 units.
[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]
[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]
Now, we know that :
[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]
[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]
Therefore, the required answer is 3/√5.
What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)
Answer:
4%
Step-by-step explanation:
6000 x 100 / 5000 = 120
after 5 years the total interest is 20%
each year interest = 4%
( 4 x 5 =20 )
1ST TO ANSWER GETS BRAINLIEST
What is the total area of the patio, walkway, and garden?
Answer:
82 ft²
Step-by-step explanation:
Evaluate 9 divided by 3 [(18-6)-2 to the second power]
Answer: 24
I hope this helped
After a 25% reduction, a sweater is on sale for $41.25.
What was the original price?
Let the original price be x.
x * (1 - 0.25) = $41.25
0.75x = $41.25
x = $41.25 / 0.75 = $55
Answer:
$55
Step-by-step explanation:
____ decrease by 25%= $41.25, which the unknown number is $55.
A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?
The value of the quantity after 1 year, to the nearest hundredth is 4000.00
The exponential form of an equationThe standard exponential equation is eexpressed as:
[tex]P(t)=P_0e^{kt}[/tex]
Given the following parameters
[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]
Substitute into the formula to have:
[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]
Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00
Learn more on exponential equations here: https://brainly.com/question/12940982
What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2
keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]
What is the sum of 1/4 and 5/12 ?
Answer: 8/12
Step-by-step explanation:
1/4 times 3 will give you 3/12 and add 5/12
-8 - (-2) = X
X = ?
WHAT IS X ?
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!
Answer:
it's "whats shaking"
Step-by-step explanation:
Answer:
k=8.
n=12
a=29
h=5
i=297
g=89
Carl is arranging 86 chairs for a
dinner party. Carl places 5 chairs at
each table. Any remaining chairs will
be set aside. How many tables will
have 5 chairs?
20.
19. Make Sense and Persevere Use the Distributive
Property to expand 7(7x - 3y) - 6.
HELP PLEASE
Answer:
49x-21y-6
Step-by-step explanation:
7(7x) 7(-3y) -6
49x-21y-6=0
Help help help help help
Answer:
A' = (- 3, 0)
Step-by-step explanation:
[tex]A' = (x + 3, \: y - 2) \\ \\ \implies \: A' = ( - 6+ 3, \: 2 - 2) \\ \\ \implies \: A' = ( - 3, \: 0) [/tex]
Answer:
A' = (-3, 0)
Step-by-step explanation:
Pre-Image coordinate:
A (-6, 2)
Translation: (x, y) --> (x + 3, y - 2)
(-6 + 3, 2 - 2)
(-3 0)
Image coordinate:
A' = (-3, 0)
hope this helps!! p.s. i really need brainliest :)
A point located at (1, 8) is reflected over the x-axis. What are the coordinates of the image?
(-1, 8)
(8, 1)
(-1, -8)
(1, -8)
Answer:
(1, -8)
Step-by-step explanation:
In this case, we are reflecting. Since we are reflecting over the x axis, the only thing that will change will be the y.
----------------------------------------------------------------------------------------------------------
The x is staying the same because it is not moving. The y, however, is changing sides.
----------------------------------------------------------------------------------------------------------
Since the y is positive in its original spot, when you reflect over the x axis, you will have a negative y value, which is why it is a -8.
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
which is a better value? 1 pound of apples for 2.15 or 3 pounds of apples for 5.76
Answer:
From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.
Step-by-step explanation:
Sorry if none of these answers have helped you.
Answer:
The 2nd offer - 3 pounds of apples for 5.76
Step-by-step explanation:
1. Find the unit price for the 1st offer.
The unit price is 1 pound of apples for $2.15. <-- given information
2. Find the unit price for the 2nd offer.
We can set up a proportion to find the unit price.
3 pounds / $5.76 = 1 pound / $x
Let x = how much 1 pound of apples are for the 2nd offer
Cross multiply
3 · x = 5.76 · 1
Simplify
3x = 5.76
Divide both sides by 3 to isolate x
x = 1.92 = $1.92 for a pound of apples (2nd offer)
3. Compare the two offers' unit prices.
$2.15 <-- 1st offer
$1.92 <-- 2nd offer
The second offer is the better value because it costs less for each pound of apple.
I hope this helps and please mark me as brainliest!
the sum of 3x and 1 is greater than-5 and less than or equal to 10
Answer:
x is greater than -2 and less than or equal to 3
Step-by-step explanation:
so the 3x + 1 is greater than -5
so 3x is greater than -6
we divide both sides by 3
then we find out that x is greater than -2
we also know that 3x + 1 is less than or equal to 10
so 3x is less than or equal to 9
we divide both sides by 3
then we find out that x is less or equal to 3
so we can say that x is greater than -2 and less than or equal to 3