[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]
A total of 590 tickets were sold for the school play. They were either adult tickets or student tickets. There were 60 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
325 adult tickets
Step-by-step explanation:
This "sum and difference" problem can be solved by assigning a single variable to the quantity you want to know. Let 'a' represent the number of adult tickets sold. Then (a-60) is the number of student tickets sold, and the total number sold is ...
a +(a -60) = 590
2a = 590 +60
a = 650/2 = 325
There were 325 adult tickets sold.
__
Check
325-60 = 265 student tickets were sold, for a total of 325+265 = 590.
_____
Additional comment
You may have noticed that the larger number of tickets (number of adult tickets) was found to be the average of the two numbers given in the problem statement. That will generally be the case for a "sum and difference" problem.
R=7. 6=h volume for cone 3.14
Answer:
307.876080 ft^3
Step-by-step explanation:
307.876080 ft3
I have a bunch more questions im sorry i just haveva F in math and need help!
Answer:
option I
Step-by-step explanation:
Option I 168 yd²
The surface area =168 yd²
I hope it helped you
Tristan is comparing two number patterns based on the information below.
Both patterns start with the number 1.
Pattern A follows the rule “add 3”.
Pattern B follows the rule “add 4”.
How does each of the first 5 terms in Pattern A compare to the first 5 terms in Pattern B?
As part of your answer, list the first 5 terms of each pattern.
Explain your answer.
Pattern A = 1, 4, 7, 10, 13
Pattern B = 1, 5, 9, 13, 17
Each term is increases at a faster rate in pattern B; the difference between terms increases by one per step. In pattern A, 1 jumps to 4, while in pattern B, 1 jumps to 5. There is a difference of one. But when in pattern A, 4 jumps to 7, in pattern B, 5 jumps to 9. The is a difference of two between these two terms even though they are on the same "jump." This difference increases by one per "jump." (Jump is not the official word for this but I'm assuming this isn't a sequence problem.)
if 5 songs can be downloaded for $6, what
is the cost of seven songs?
Answer:
7 songs costs $8.4
Step-by-step explanation:
6/5= $1.2 for each song
1.2 times 7= $8.4
7 songs costs $8.4
A family has a phone plan that includes 6 GB of data per month. 15 days into a 30-day month, the family has used 2 GB. At that rate, how many GB will the family use for the entire month?
Answer:
4GB
Step-by-step explanation:
cause if you think about it if they already have used 2GB in half the month then its' reasonable to think it would be 4GB. simple math
how much longer is 18.25 centimeters than 75.4 milimeters
Answer:
10.71
Step-by-step explanation:
You first convert 75.4 millimeters to centimeters, and you will get 7.54. Now you subtract 18.25 and 7.54 to get the answer 10.71
Please help me with this. (Geometry)
Step-by-step explanation:
Pythagoras's rule: [tex]a^2 + b^2 = c^2[/tex] becomes [tex]x^2 + 10^2 = y^2[/tex]
If we say b = 10: [tex]b = 10 = \sqrt{c^2 - a^2} = \sqrt{y^2 - x^2}[/tex]
You only need to look at the left triangle
Which of the options follows Pythagoras's rule?
Let's try the options until we get the right one (in no particular order)
If we try: 3) x = 4 y = [tex]29\sqrt{2}[/tex]...
[tex]\sqrt{(29\sqrt{2})^2 - 4^4} = 7\sqrt{34} \neq 10[/tex]
If we try: 4) x = 16 y = 116...
[tex]\sqrt{116^2 - 16^2} = 20\sqrt{3} \neq 10[/tex]
If we try: 2) x = 16 y = 29...
[tex]\sqrt{29^2 - 16^2} = 3\sqrt{65} \neq 10[/tex]
If we try: 1) x = 4 y = [tex]2\sqrt{29}[/tex]...
[tex]\sqrt{(2\sqrt{29})^2 - 4^2} = 10[/tex]
solve for x ~
[tex]16x - 4 = 0[/tex]
thankyou ~
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:16x - 4 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:16x - 4 + 4 = 0 + 4[/tex]
[tex]\qquad \tt \dashrightarrow \:16x = 4[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 4 \div 16[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \frac{1}{4} [/tex]
The Value of x is :-
16x - 4 = 0
16x = 4
x = 4/16
x = 1/4
What is mS?
A. 56
B. 68
C. 112
D. 124
Answer:
[B] 68
Step-by-step explanation:
Given:
the figure in the picture
Solution:
Q - 124 + 56 =180
Since, r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.
Step by step solving below:
Q = 180 - 124
Q = 56
56 (m∠Q) + 56 (m∠ R) = 112
S = 180 - 112
S = 68
Thus, the answer is [B] 68 which also means m∠ 68
Kavinsky
Answer:
mS = 68 (B)
Step-by-step explanation:
First, we are given mR, which is 56.
Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56
Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....
180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68
therefore, mS = 68
Solve by factoring.
4m2−3m−27=0
Answer:
[tex]m = 3 m = - \frac{9}{4} [/tex]
Step-by-step explanation:
correct me if I'm wrong
Help
…… asap no links
Answer:
Answer Linked below
Step-by-step explanation:
Help will give thanks to the first to answer
Answer:
[tex]56[/tex]
Step-by-step explanation:
[tex]10 \times 5 + 6[/tex]
[tex]50 + 6 = 56[/tex]
Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)
The point that is not on the graph of the linear equation y = 10 + x is given by:
C. (8, 2)
What is the definition of the linear equation?It is given by:
y = 10 + x.
Hence, all the points on the graph have the following coordinates:
(x, x + 10).
Option C does not follow this format, hence it is not on the graph.
More can be learned about linear equations at https://brainly.com/question/24808124
#SPJ1
help!
factor as the product of biomionals
64-16x+x^2
Answer:
(x-8)(x-8) are the factors of the following biominals
Answer:
Step-by-step explanation:
Help me with this please.
Answer:
1. 83 square inches
2. 7.065 square centimeters
Step-by-step explanation:
Hey there!
In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape
The dimensions are 10 and 16 and if you multiply them together, you get 160
This means that the area of the whole shape is 160
Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160
The dimensions for the white rectangle is 11 and 7
This means that the area of the white rectangle is 77
Now what we need to do is subtract 77 from 160
160-77=83
So the area of the shaded region is 83 square inches
Now to get to the second question
We need to find the area of the quarter circle
In order to find this, we need to first find the area of the whole circle, then divide that by 2
They gave us the radius already which makes it a lot easier (the radiues is 3)
All we need to do is input 3 into the formula for the area of a circle
[tex]\pi r^2[/tex]
In this case, since they are telling us to use 3.14 as pi, the equation would look like this:
[tex]3.14*3^2[/tex]
This can be simplified to [tex]3.14*9[/tex] which is equal to 28.26
So this is the area of the whole circle
But the question is asking for the area of a quarter of that circle
So what we need to do is divide 28.26 by 4 which is 7.065
So the area of the quarter circle is 7.065 square centimeters
which law would you use
the sum of the digits of a two - digit number is 14 . if the digits are reversed, the number increases by 36 . find the number .
Let the tens digit of the number be x .
ones digit = ( 14 - x ) ( since the sum of the 2 digits is 14 )
Two - Digit number = 10 ( tens digit ) + ones digit
Required number ,
10x + ( 14 - x ) 10x - x + 14 9x + 14Reversed number ,
10 ( 14 - x ) + x 140 - 10x + x 140 - 9xGiven ,
Reversed number - Required number = 36
✯ 140 - 9x - ( 9x + 14 ) = 36
✯ 140 - 9x - 9x - 14 = 36
✯ 126 - 18x = 36
✯ 126 - 36 = 18x
✯ 18x = 90
✯ x = 5
Ten digits , x = 5 Ones digits = ( 14 - x ) = 14 - 5 = 9♧ Thus , Required number is 10 × 5 + 9 = 59
Given -
the sum of the digits of a two - digit number is 14.i.e, if two numbers are x and y then, x + y = 14
if the digits are reversed, the number increases by 36i.e, if 10y + x then 10y + x = 10x + y + 36.
To find -
the numberConcept -
If a, b and c are real number (and if a and b both are not equal to 0) then ax+by=c is called a linear equation in two variables (The two variables are x and y)
The numbers a and b are called the coefficient of the equation ax+by=c. The number r is called the constant of the equation ax+by = c
PS - first we will construct two linear equations and then we'll find the number.
Solution -
Let, x + y = 14
➜ y = 14 - x ----(i)
and we'll solve 10y + x = 10x + y + 36 further,
➜ 10y + x = 10x + y + 36
➜ 10y - y = 10x - x + 36
➜ 9y = 9x + 36
➜ 9x - 9y = -36
➜ 9(x - y) = -36
➜ x - y = -4 ----(ii)
Substituting the value of y (in equation (i)) in equation (ii),
➜ x - (14 - x) = -4
➜ x - 14 + x = -4
➜ 2x = -4 + 14
➜ 2x = 10
➜ x = 10/2
➜ x = 5
Now to find the value of y we will substitute the value of x in equation (i),
➜ y = 14 - 5
➜ y = 9
Therefore, the number is {10(5)+9,i.e,} 59.
factor completely 36x-60
What is the volume of the cylinder below?
Answer:
C. 2160π units³
Step-by-step explanation:
Volume of a cylinder is given by the formula :
V = πr²h
Substituting values given gives us :
V = π(12)²(15)
V = π(144)(15)
V = 2160π units³ (since it is volume)
Answer:
[tex]\boxed{\sf{C. \quad 2160\pi \quad units^3}}[/tex]
Step-by-step explanation:
It is necessary to use their formula to solve this problem with the volume of the cylinder.
Volume of the cylinder formula:
[tex]\Longrightarrow: \sf{V=\pi r^2h}}[/tex]
[tex]\sf{12^2(15)}[/tex]
Solve.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAdd SubtractFirst, solve with exponents.
[tex]\sf{12^2=12*12=144}[/tex]
Then, rewrite the problem down.
144(15)
Multiply.
[tex]\sf{144*15=\boxed{\sf{2160}}}[/tex]
Therefore, the correct answer is C. 2160π units³.The dot plot below shows the number of books 26 students read in a month:
Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.
Is the median or the mean a better center for this data and why?
Mean; because the data is skewed and there are outliers
Mean; because the data is symmetric and there are outliers
Median; because the data is skewed and there are outliers
Median; because the data is symmetric and there are outliers
Answer:
The answer is A. Mean; because the data is skewed and there are outliers
Answer:
The answer is A
Casey asks a random sample of students at his school about their natural hair and eye colors. The results of his survey are shown in
the relative frequency table below.
Black
Brown
Hair
Red
Color
Blonde
Total
Brown
0.225
0.350
0,025
0.050
0.650
Eye Color
Blue Other
0.000 0.025
0.125 0.100
0.000 0.025
0.075 0.000
0.200 0.150
Total
0.250
0.575
0.050
0.15
1.000
In the sample, there are 4 more students with brown hair and blue eyes than blond hair and blue eyes.
How many total students have black hair?
=======================================================
Explanation:
x = total number of students surveyed
According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.
Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.
We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"
So,
(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4
0.125x = (0.075x) + 4
0.125x-0.075x = 4
0.05x = 4
x = 4/0.05
x = 80
There are 80 students surveyed.
Of those eighty students, 0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.
The last step is to calculate how many of the students have black hair based on the sample size we just found.
The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair
Hello help math math math
Answer:
S=N+2
Step-by-step explanation:
Just a heads up I don't think that this is correct
If Susan is 2 years older than Nancy then N=S-2 which stands for Nancy is 2 years yonger than Susan. So for the bottom eqaution, if Susan is 2 years older than Nancy then that should be S=N+2 to stand for the fact that Susan is 2 years older than Nancy.
I AM SO SORRY IF THIS ISN'T CORRECT
-dani <3
Answer:
S=N+2
Step-by-step explanation:
If you spin the spinner, what is the probability it will stop on a multiple of 3? 1/4, 1/2, 3/20, 3/10.
Probability = number of desired outcomes / number of total outcomes
Multiples of 3 = 3, 6, 9, 12, 15, 18 = 6 possibilities
Total number of outcomes = 20
6 / 20 = 3 / 10
Answer: 3/10
Hope this helps!
Jake is enclosing a rectangular field that is 47 yards by 158 yards with wood fencing. The cost per foot of wood fencing is $3.28.
How much will the wood fencing cost?
Answer options with 4 options
A.
$672.40
B.
$1,344.80
C.
$2,017.20
D.
$4,034.40
Answer:D
Step-by-step explanation: Perimeter of field is 2(length +breadth)
=2(47+158)
=410 yards.
Convert to feet= 1230ft
1ft =$3.28
1230ft will be 1230×3.28
Ans $4034.4
Miguel cut 1/4 from a round pie. Mariah cut a piece from the same pie with an angle measure of 60 degrees who cut the larger piece? Explain.
Answer: Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.
Step-by-step explanation:
Answer:
Miguel has the larger piece. 1/4 is equal to 90, because 360/4 = 90.
So Miguel has the larger piece
Step-by-step explanation:
1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
weekly raise= $145
solution:let's assume the first paycheck as x.
she got a weekly raise of $145.
So, after concluding the first week she'll get $ (x+145).
likewise, after completing the second week she'll get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
therefore, this is how her salary will get increased by $145 at the end of every week.
Kelly has a checking account at a local bank your bank charges five dollars a month to maintain a checking account plus a 0.25 fee for each check Kelly wait last month Kelly paid a total of $7.50 in checking account fees how many checks did Kelly write last month 
What is the answer????
Let's see
(10y)²=(6y)²+64²100y²-36y²=(64)²64y²=64²y²=64y=√64y=8Answer:
y = 8
Step-by-step explanation:
A 3-4-5 right triangle, and its multiples, are the only ones with rational side lengths in the ratio 3:5. In other words, the 6y : 10y side ratios mean that ...
3 : 4 : 5 = 6y : 64 : 10y
or
64 = 8y
y = 8 . . . . . . . divide by 8
The area of the triangle below is 29.25 square centimeters. What is the length of the base?
Answer:
b = 9
Step-by-step explanation:
0.5 bh= 29.25
thus
(0.5)(b)(6.5)=29.25
thus
b= 58.5/6.5 = 9
Answer:
9?
Step-by-step explanation: