Answer: Clare earned $6806.53.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
[tex]B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4[/tex]
Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.
Now, use a calculator to raise 1.08 to the fourth degree to get this:
[tex]B = 5003 * 1.360488\\B = 6806.526[/tex]
As such, Clare earned $6806.53 in interest after 4 years.
A cylindrical container has a radius of 3 centimetres and a height of 12 centimetres. The container is filled with water up to the height of 7 centimetres . Find the volume of empty space in the cylinder.
Answer:
[tex]141.37cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *3^2*5\\=141.37cm^3[/tex]
Can you please help me with this question and i will give you a Brainiest
The paperclip is a typical example of something with a mass of about a gram. The other items are significantly more massive. I'm in the US so I remember there are 28 grams in an ounce and 454 grams in a pound.
Answer: paperclip
Type the correct answer in the box,
Find the value of X in this polygon
Answer:
x = 42
Step-by-step explanation:
166 + 93 + 127 + 112=498
5-2=3
180 x 3=540
540-498=42
Pleaseee help me!!!
Answer:
3 hours
Step-by-step explanation:
Since it will take the sprinkler 12 times longer to mow the entire lawn than 1/12 of it, it will take 1/4*12=3 hours, or the last answer choice. Hope this helps!
6n^2 + 13n + 7
Factor
Answer:
(6n+7)(n+1)
Step-by-step explanation:
Use the cross-multiplication method:
[tex]6n^2 + 13n + 7=(6n+7)(n+1)[/tex]
Answer:
(6n+7)(n+1)
Step-by-step explanation:
6n^2 + 13n + 7
Must multiply to 42 and add to 13:
7 and 6
(6n^2+6n)(7n+7)
6n(n+1)7(n+1)
(6n+7)(n+1)
Hope this helps! Please mark brainliest :)
Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?
Answer: $122.19
Step-by-step explanation:
Hi, to answer this, first we have to calculate the additional KB that Astrid used:
KB used- KB limit=
6,978-5,000 = 1,978
Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000(x) and the cost per KB (0.037).
Cost = 49+ 0.037 x
Substituting x =1,978
C = 49+ 0.037 (1,978)
C =49+73.186
C=$122.19
Feel free to ask for more if needed or if you did not understand something.
The low temperatures for the week in Carrollton, in degrees Fahrenheit (°F), were 17, 41, 11, 14, 11, 13, and 15. What is the mean of the temperatures without the outlier?
Answer:
The mean of the temperatures is 13.5 without the outlier.
Step-by-step explanation:
To find the mean, you add all of the numbers in your data set and divide that by how many numbers you added.
Before we do this, we must first identify the outlier and remove it from our calculations since it is asking us to find the mean without it. 41 is the outlier because it is a considerably larger number than the other numbers in the data set.
Equations: 11 + 11 + 13 + 14 + 15 + 17 = 81
81 ÷ 6 = 13.5
4x5-10+30-20+30-25+5
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
4 x 5-10+30-20+30-25+5 BODMAS
20+20+10-20
50-20
30
Distribute -2x\left(-10x+1\right).−2x(−10x+1)
Answer: honestly, I don’t know. This is a bot.
Step-by-step explanation: bbbbrrididjejejdidiekkekskdkd
Twenty people apply for 5 job openings as teacher assistants. How many different groups of people can be hired?
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
Multiply each side by negative one over five , add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five , subtract 25 from each side
Multiply each side by −5, add 25 to each side
Answer:
Multiply each side by −5, add 25 to each side
Step-by-step explanation:
-1/5(x-25) = 7
Multiply each side by -5/1 to clear the fraction
-5/1* -1/5(x-25) = 7*-5/1
x-25 = -35
Then add 25 to each side
x-25+25 = -35+25
x = -10
The slopes of perpendicular lines are? will give brainliest for correct answer
Answer:
opposites
Step-by-step explanation:
please help i need these done asap i will award brainliest
Answer:
b) 7 sheep and 14 chickens - 7x4=28 and 14x2=28 --- 28x2= 56
Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it.
The length of the garden is 3 times as long as the width. Kiyo models the area of
his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error.
Answer:
38 ft
Step-by-step explanation:
Let x and (3x+2) represent the width and length respectively:
L + W = P/2 = 100/2 = 50
(3x+2) + x = 50
4x = 48
x = 12ft, the width, the length is 38ft
Answer: Kiyo only accounted for one side of the path when creating his equation. There are 2 feet of path on each side of the garden, meaning there should be 4 extra feet added to each expression multiplied.
Step-by-step explanation:
The rectangular path surrounding the garden is 2 feet on each side.
The length of the garden is represented by 3x, but when the length of the path is included, there is 2 feet of path on the left of the garden and 2 feet of path on the right.
Due to this, Kiyo made the mistake of only including 2 feet instead of the full 4 of the path by only accounting for one side of the path.
The correct equation is:
[tex]f(x) = (x+4)(3x+4)[/tex]
please help me out on this ! Thank you!
Answer:
a) Radius: ML
b) Diameter: NQ
c) Chord: OP
d) 18 units
Step-by-step explanation:
In three plays, a football team loses 5 yards and
then gains 32 yards by completing & pass. Then
a penally was called and the team kist 10 yards.
How many yards did the team actually gain?
Please give real work and explanations I’m giving away 20 points
Answer:
17 yards
Step-by-step explanation:
Start= 0
0-5=-5 (lose 5 yards)
-5+32= 27 (gain 32 yards)
27-10= 17 (lose 10 yards)
answer using elimination will mark brainist
-4x+3y=-5
4x-5y=3
2x+3y=36
10x-6y=12
Answer:
Step-by-step explanation:
For Case -1
[tex]\Rightarrow -4x+3y=-5\quad \ldots(i)[/tex]
[tex]\Rightarrow 4x-5y=3[/tex]
[tex]\Rightarrow 4x=5y+3[/tex]
Put the value of [tex]4x[/tex] in equation [tex](i)[/tex] we get
[tex]\Rightarrow -(5y+3)+3y=-5[/tex]
[tex]\Rightarrow -5y+3y-3=-5[/tex]
[tex]\Rightarrow 2=2y[/tex]
[tex]\Rightarrow y=1[/tex]
and thus [tex]4x=5(1)+3[/tex]
[tex]x=\frac{8}{4}=2[/tex]
Case-2
[tex]10x-6y=12\quad \ldots(i)[/tex]
[tex]2x+3y=12\quad \ldots(ii)[/tex]
Now multiply [tex](ii) by 5 and subtract it from (i)[/tex]
[tex] 10x-6y=12[/tex]
[tex] 10x+15y=+180[/tex]
[tex]\cdots \cdots \cdots[/tex]
[tex]-21y=-168[/tex]
[tex]y=8[/tex]
and [tex]=6[/tex]
The owner of a collector car sold the car at a auction. The owner bought it in 1977 when it's value was $7500. The value of the car increased at the rate of 5.5% per year. The auction took place in 2000. What is the approximate value of the car at the time of the auction.
Answer:
$25,695
Step-by-step explanation:
You can calculate the price of the car in 2000 using the formula to calculate the future value:
FV=PV(1+r)^n
FV= future value
PV= Present value: $7,500
i= rate: 5.5%
n= number of years: 2000-1977= 23
FV= 7,500*(1+0.055)^23
FV= 7,500*(1.055)^23
FV= 7,500*3.426
FV= 25,695
According to this, the approximate value of the car at the time of the auction is $25,695.
Correct answers only please! I keep loosing points...
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 7,299.92
Step-by-step explanation:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the survery. Which inference about all freshmen at this college is best supported by this information?
Answer:
I think it’s B (I’m not sure if I’m right)
Step-by-step explanation:
why do bees eat flowers
Answer:
Bees dont comanly eat flowers. They take the pollen and necture inside the flower to polenate OTHER flowers.
Step-by-step explanation:
most bees use pollen and nectar as a food source. Worker bees gather both pollen and nectar from flowers to feed to the larvae and other members of the colony.
Hope this helps a little
Answer:
Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them
Step-by-step explanation:
Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them
Is -52.45 rational or irrational
Answer:
rational
Step-by-step explanation:
it can be expressed as a fraction
Answer:
Rational
Step-by-step explanation:
Irrational numbers continue to go on forever and cannot be written as a fraction
expand 3x(x² + 2x – 3)
Answer:
3x³+6x²-9x
Step-by-step explanation:
3x * x² = 3x³
3x * 2x = 6x
3x * -3 = -9
3x³ + 6x - 9
* means times
im in year 9 / 8th grade so if im wrong sos x
8/9 - 3/5 I am coming up with 5/4 am I right
Answer:
No, the correct answer is 13/45
Step-by-step explanation:
Find the greatest common factor and change the equations
8/9 -> 40/45
3/5 -> 27/45
40/45 - 27/45 = 13/45
13/45 is the correct answer
Please help and I’ll give branliest answer to the person who’s most descriptive
A. 5×2×8×10
The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.
Have a great day (:
-4(X - 5) is equivalent to 4-5 + x)
False
True
False, -4(X - 5) would be -4x + 20.
Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?
Answer: 1120
Step-by-step explanation:
20/5=4
280x4=1120
Evaluate 2(x - 4)+ 3x - x2 for x = 3.
A. 6
B. -2
C. 2
D. -6
Answer:
B. -2
Step-by-step explanation:
Simply plug 3 into the equation and follow the order of operations.
2(3 - 4) + (3(3)) - (3^2)
2(-1) + (9) - (9)
= -2
help me pls What is the y-intercept of the line? as a coordinate pair
Answer:
(0,3)
Step-by-step explanation:
15x + 20xy = 5x(4y)
Are these two Equivalent
Answer:
no
Step-by-step explanation:
on the first equation there are two Xs