Answer:
You have earned $67.50
Step-by-step explanation:
Since we are working with simple interest, we will use this formula:
[tex]I=Prt[/tex],
where P represents the principal amount (your deposit), r represents the rate as a decimal, and t represents the time in years. First, we need to rewrite our interest as a decimal by dividing 3% by 100:
[tex]3\div 100 = 0.03[/tex]
Now, we also know the values of P and t from the problem:
[tex]P=750\\r=0.03\\t=3[/tex]
We can substitute those values into the formula:
[tex]I=750(0.03)(3)\\I=67.5[/tex]
In context, that means you earned $67.50 in interest.
HELPPPPP
what is the distance, to the nearest unit, between your house and the subway stop?
Answer:
9
Step-by-step explanation
brainlypatrol keep deleting my answers
44:96.
It is estimated that 7 out
of 10 people invited to a
wedding will attend. If Mark
and Katie invite 120 people,
how many can they expect to
not attend?
Answer:
They can expect that 36 people will not attend.
Step-by-step explanation:
We are trying to figure out how many people didn't attend, so that would be 10 invites - 7 attendees = 3 bailers, so 3/10 people won't attend.
Now, you need to multiply that ratio to become 120 people:
3/10 --> x/120
In order to change that fraction, you must figure out what 120/10 is:
120/10 = 12
This means that the denominator was multiplied by 12, so the numerator must also be multiplied by 12 to get x:
3/10 --> (3*12)/120
--> 36/120
36 out of 120 people can be expected not to attend.
Square pyramid surface area?
Answer:
576 cm^2
Step-by-step explanation:
16^2 + 2 x 16 x 10
256 + 32 x 10
256 + 320
= 576
Write an equation of the line passing through each of the following pairs of points.
(5, 7), (−8, −4)
Answer:
y= 11/13x + 36/13
Step-by-step explanation:
y=mx+b
y2 -y1 -4-7 = -11
x1-x2 -8-5= -13
slope is 11/13
Answer:
y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]
Step-by-step explanation:
First, find the slope of the line passing through the points
Then find the y-intercept of the line
Then construct the formula
1. find the slope
remember the formula
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope
now plug in the given points
(5, 7)
(-8, -4)
[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]
[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]
simplify and solve
= [tex]\frac{-11}{-13}[/tex]
= [tex]\frac{11}{13}[/tex]
2. find the y-intercept
remember the base formula for a line
y= mx + b
where m is the slope and b is the y-intercept
we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept
y = mx + b
y = [tex]\frac{11}{13}[/tex]x + b
use the first set of given coordinates for a point on this line: (5, 7)
7 = [tex]\frac{11}{13}[/tex] * 5 + b
solve by inverse operations and simplifying
7 = [tex]\frac{55}{13}[/tex] + b
[tex]\frac{36}{13}[/tex] = b
3. construct the formula
now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:
y = mx + b
where m is the slope and B is the y-intercept
we found that
m = [tex]\frac{11}{13}[/tex]
and
b = [tex]\frac{36}{13}[/tex]
so that means the equation is
y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]
Help help help ASAP
Answer:
The answer is C
Step-by-step explanation:
A trend line should attempt to be in the middle of the data points not above them. If it does not do as staed above, it is NOT a correct trend line.
Have an amazing day!
PLEASE RATE!!
what is the amplitude and period of f(t) = sin2t
The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function
The amplitude of the function is 1The period of the function is [tex]\pi[/tex]How to determine the amplitude?The equation of the sine function is given as:
[tex]f(t) = \sin(2t)[/tex]
A sine function is represented as:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where
A represents the amplitude
By comparison;
A = 1
Hence, the amplitude of the function is 1
How to determine the period?In (a), we have:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where the period is:
[tex]T = \frac {2\pi}B[/tex]
By comparison;
B = 2
So, we have:
[tex]T = \frac {2\pi}2[/tex]
[tex]T = \pi[/tex]
Hence, the period of the function is [tex]\pi[/tex]
Read more about sine wave functions at:
https://brainly.com/question/23214084
Answer:
A on edge
Step-by-step explanation:
Which set of angles are alternate interior angles?
A) 1 and 7
B) 1 and 4
C) 2 and 4
D) 3 and 6
Solve for x.
3x + 2 = 38
Answer:
3x=38-2
3x=36
3x÷3=36÷3
x=12
Step-by-step explanation:
You start by grouping the like terms on one side, 2 is a constant number so you will group it with the constant 38. When you swap it to the other side of the equal sign, you change its sign. After you will divide both sides of the equation by the coefficient of x which is 3,in order to get the value of x.
While riding her bike to the ocean and back home 7 times, Michelle timed herself at 54 min, 55 min 50 min, 48 min 42 min, 50 min, and 61 min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her eighth ride to attain her goal?
jvghiuuytuury ioiy6r yyguytt7i y7t65yu
Solve the system of equations x+y=-9x+y=−9 and -8x-2y=54−8x−2y=54 by combining the equations.
Desmond purchased 2 1/5 of mixed nuts.
What is the decimal equivalent of the pounds he purchased
Enter your answer in the box
lb
Answer:
2.2
Step-by-step explanation:
Answer:
2.2
Step-by-step explanation
The reason for this is because if you turn 1/5 into a 10th then you need to multiply 2/2 x 1/5= 2/10= 0.2. and the 2 goes before the decimal point and you get
2.2
What information do banking institutions use to help detect fraudulent
transactions?
A. Local business' sales forecasts
B. National financial trends
C. Internet search engine statistics
D. Historical transaction data
The information that banking institutions use to help detect fraudulent
transactions is Historical transaction data.
How do banks protect their customer information?Banks do use some kind of Encryption to protect their customer's information. Through that, a person's transactions and personal information are protected online via encryption software.
Note that a lot of times, fraudulent activities do occur and as such banks or Financial institutions through the use of data and data analytics of the transaction process will help them better know what occurred.
Learn more about banking from
https://brainly.com/question/25664180
Your teacher decides to split the class into 4 equal groups with no more than 5 student in each group. Write and solve an inequality to represent the number of students in the class.
( I got c/4≤5. I got 20 students too. Am I correct?) * c represents class
Answer:
Then there is at most 20 students = 4 groups x 5 students per group
N <=20
Step-by-step explanation:
mark me brainliest!!
If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5
Answer:
67
Step-by-step explanation:
d(n) = 4n + 2
= 4(5) + 2
=22
t(d(n)) = 3(22) + 1
= 67
What is the scale factor for this dilation? How do you
know?
Look at the left-most part of the blue diagram. It is 1 unit high. The corresponding left-most part of the red diagram is 2 units high, which is twice as high as the blue portion it corresponds to.
The scale factor tells us how to enlarge or shrink the object. In this case, the red figure is twice as tall and wide compared to the blue figure.
You can pick any pair of corresponding sides to get the scale factor.
Graph the line that passes through the points (0, -5) and (5, 1) and
determine the equation of the line.
y
10
9
00
7
6
5
4
Answer:
y = 10/1x - 5
Step-by-step explanation:
y=mx+b
m=slope b=y-intercept
therefore
y=10/1x -5
(10/1 is a fractions just too lazy to make it a fraction on here)
A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible? a. 333,135,504 b. 358,800,000 c. 456,976,000 d. 78,364,164,096 Please select the best answer from the choices provided A B C D
Answer:
c. 456,976,000
Step-by-step explanation:
Number of Letters = 4
Number of Letters on the Alphabet = 26
Total Numbers used = 3
Total Range of Numbers = (0-9)
Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.
And for the following 3 numbers, the total number of combinations for each of them would equal to 10.
To find the answer, we multiply all the values:
26*26*26*26*10*10*10 = 456,976,000
How many terms are in the expression 5d3 + d - 6c + 2?
Answer:
3
Step-by-step explanation:
Im did this in school but i forgot how so its probably wrong
It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at random. Find the probability that more than 3 of these selected children have three siblings (round off to second decimal place).
Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, for the parameters, we consider that:
10% of the 9-year old children in a town have three siblings, hence p = 0.1.Fifteen 9-year old children are selected at random, hence n = 15.The probability that more than 3 of these selected children have three siblings is given by:
[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]
In which:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059[/tex]
[tex]P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432[/tex]
[tex]P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669[/tex]
[tex]P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445[/tex]
P(X > 3) = 1 - 0.9445 = 0.0555
0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
mPQ = 113°. What is mZPOQ?
Enter your answer in the box.
113°
I NEEDHELP ASAPPPPP
A cylinder has a height of 23m and a volume of 18488m^3 what is the radius of the cylinder. Round your answer to the nearest whole number
Answer:
Radius=16m
Step-by-step explanation:
It is given that A cylinder has a height of 23 m and a volume of 18,488 m³. then, the volume of the cylinder is given as:
Substituting the given values, we get
≈
Thus, the radius of the cylinder will be 16m.
Answer:
Radius = 16m
Step-by-step explanation:
It is given that A cylinder has a height of 23 m and a volume of 18,488 m³. then, the volume of the cylinder is given as:
[tex]v=\pi r^{2} h[/tex]Substituting the given values, we get
[tex]18488=3.14(r^{2} )(23)[/tex]
[tex]18488=72.22(r^{2} )[/tex]
[tex]r^{2} =255.99[/tex]
[tex]r=\sqrt{255.99}[/tex]
[tex]r=15.99[/tex]
[tex]r=16m[/tex]
Thus, the radius of the cylinder will be 16m.
What type of number is 2/3?
Answer:
rational
Step-by-step explanation:
beacaue its a ration
Answer:
It is a rational number
Please solve this don’t say you can’t see it if you see it answer please only if you know the answer
Answer:
5) 3 units
6) 9 units
7) 15.5
8) 67
If f = 6 and g = 8, what does h equal?
Answer:
any number
Step-by-step explanation:
Need help asap, ty I have no idea how to start this problem
Answer:
95
Step-by-step explanation:
Because I did the math, and it answered 95.
jerry has 840 cubic inches 6 in height and 10 width, what is the length?
Answer:
solve
Step-by-step explanation:
do 840 divided by 60
Answer:
14 in
Step-by-step explanation:
cubic means three
take the 2 you do have:
6 and 10
multiply them:
60
divide 840 by 60 to get the third:
14
Help mat math Math ASAP
Answer:
(11, 2 )
Step-by-step explanation:
3y + 2x = 28 → (1)
x = 5y + 1 → (2)
substitute x = 5y + 1 into (1)
3y + 2(5y + 1) = 28 ← distribute parenthesis on left side and simplify
3y + 10y + 2 = 28
13y + 2 = 28 ( subtract 2 from both sides )
13y = 26 ( divide both sides by 13 )
y = 2
substitute y = 2 into (2)
x = 5(2) + 1 = 10 + 1 = 11
solution is (11, 2 )
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
20, 10, 5,
Answer:
Common ratio = 1/2.
G. S.
Step-by-step explanation:
10/20 = 1/2 and 5/10 = 1/2 so its Geometric.
What is the first multiple of 191
Answer:
382
Step-by-step explanation:
To find the first multiple, we can just add 191 to itself.
191 + 191 = 382
Best of Luck!
Step-by-step explanation:
382
..................
please help this question
Answer:
0
Step-by-step explanation:
let the vertices on either side of the 0 be A and B
then let the vertex opposite of O be C
First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°
then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.