The term of shaquil's loan will be 29 days approximatly.
We have given that,
Principle amount (p) = $400
Rate (r)= 250% = 2.5
Interest = $80
t = time (in days) = t/365
What is the formula simple interest?
[tex]I=prt[/tex]
[tex]r=\frac{I}{rt}[/tex]
[tex]2.5 = \frac{80\times 365}{400\times t}[/tex]
[tex]t= \frac{80\times 365}{400\times 2.5}[/tex]
[tex]t=\frac{73}{2.5}\\ \\t=29.2[/tex]
t = 29.2
t = 29 days
Therefore option (B) is correct.
Therefore the term of shaquil's loan will be 29 days approximatly.
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Answer:
B.29 days
Step-by-step explanation:
The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4.
What percentage of restaurants have between 20 and 25 reviews?
10.6%
50.0%
16.0%
39.4%
Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].
The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:
X = 25:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 25}{4}[/tex]
Z = 0.
Z = 0 has a p-value of 0.5.
X = 20:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 25}{4}[/tex]
Z = -1.25.
Z = -1.25 has a p-value of 0.106.
0.5 - 0.105 = 0.394 = 39.4%.
Hence, 39.4% of restaurants have between 20 and 25 reviews.
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Giving Brainliest!
(This is very easy!)
Miss Gonzales opened an account with a deposit of $2,000. The account earned annual simple interest. She did not make any additional deposits or withdrawals. At the end of 6 years, the balance of the account was $2,696. What is the annual interest rate on this account ?
Answer:
I think its 22.5 or 18% if its the rate then its 22.5 I believe
100 points
The ratio of students polled in 6th grade who prefer lemonade to iced tea is 8:4. If there were 39 students in 6th grade polled, explain how to find the number of students that prefer lemonade and the number of students that prefer iced tea using a ratio table. If you wish, you may upload a copy of your ratio table.
Answer:
Step-by-step explanation:
So, the total unit number of sixth graders polled is 12.
39/12=3.25
So, you'd do 8x3.25=26 students like lemonade
13 students like iced tea
anybody know the answer i need help
Answer:
Each CD was $14.1.
Step-by-step explanation:
43.50 - 1.30 = 42.2
42.2/3 = 14.1
I NEED HELP GIVE ME ANSWER QUICK!!!!
Answer:
32.9
Step-by-step explanation:
7*9.4/2=32.9
PLEASE HELP ME I NEED IT DONE ASAP!!
what's the question? Cause the pic doesn't make it clear on what we need to solve.
It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.
A. cube
B. cylinder
C. sphere
D. cone
Answer:
B (cylinder)
Step-by-step explanation:
Two circular bases which are parallel and congruent :
This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.
The cube doesn't have any circular bases.
The sphere doesn't have any faces, nor edges.
A cone has a circular base, but it doesn't have two.
A cylinder has two circular bases, as well as they are parallel and congruent.
So, your answer is B (cylinder).
Hope this helped !
If f(x) is a linear function such that f(2)= 5 and f(4) = 13, f(x) = ?
A) 3x - 4
B) 4x - 3
C) 4x + 3
D) 1/4x + 9/2
Answer: you are on your own.
Step-by-step explanation:
The equation of the linear function f(x) is f(x) = 4x - 3. So, the answer is B) 4x - 3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
We can use the two given data points to determine the equation of the linear function f(x) using the slope-intercept form:
f(x) = mx + b
where m is the slope and b is the y-intercept.
First, we can find the slope of the function by using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (2, 5) and (x₂, y₂) = (4, 13)
m = (13 - 5) / (4 - 2) = 4
Now we can use the slope and one of the given points to solve for the y-intercept:
5 = 4(2) + b
b = -3
Therefore, the equation of the linear function f(x) is f(x) = 4x - 3.
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16-2t=5t+9
Answer
equation
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
step 1 :group like term to the same side
16-9=5t+2t
step 2 : combine
7=7t
step 3: solve for t
t=7/7
t=1
A buoy starts at a height of 0 in relation to sea level and then goes up. its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds? h = 4 sine (startfraction pi over 6 endfraction t) h = 4 sine (startfraction pi over 3 endfraction t) h = 6 sine (startfraction pi over 4 endfraction t) h = 6 sine (startfraction pi over 2 endfraction t)
The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A buoy starts at a height of 0 in relation to sea level and then goes up.
Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.
Then we have
[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]
The maximum displacement of the buoy in either direction is 6 ft, then we have
[tex]h=6 \times \sin \omega t[/tex]
The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.
Then we have
[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]
Then the h will be given as
[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]
More about the function link is given below.
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PLEASE HELP ASAPPP IM TIMED
[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]
What is the recursive rule?
Question 2 options:
an = an+1 + 500; a1 = 30,000
an = an−1 + 30,000; a1 = 500
an = an−1 + 500; a1 = 29,500
an = an−1 + 500; a1 = 30,000
Mr. Red's salary is an illustration of an arithmetic sequence
The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
How to determine the recursive formula?From the complete question, we have the explicit rule of Mr. Red's salary to be
an = 500n + 29500
Where:
First term, a1 = 30000Common difference, d = 500The above means that:
The difference between a term and the next term is 500.
So, the recursive rule is:
an = an−1 + 500
Recall that:
a1 = 30000
Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
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The vertical axis in a coordinate plane is the y-axis. true of false
Answer:True
Step-by-step explanation:The y-axis is vertical and the x is horizontal
Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.
Answer:544
Step-by-step explanation:43 + 25 = 68
68 × 8 = 544
What is the image of (-4,-2) after a reflection over the line y = -x?
Answer:
(2, 4).
Step-by-step explanation:
For y = -x the transform is:
( x, y ) reflects to (-y, - x)
So (-4, -2) reflects to (2, 4)
please help I don't know the median give an answer and explanation
Answer:
Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.
what is the mean of this data set
56,87,90,42,36,77
Answer:
64.7 when rounded up to one decimal place
Step-by-step explanation:
What is 3 1/2 + (-6) - (-1 1/2-9 3\4 ) simplified?
Answer:
8.75
Add everything together
solve the system of equations shown below. 2x-6=-12 x=2y=14
Answer:
please the question is not clear
1.
The area of a circle is 25m^2, what would be its diameter?
2.
The perimeter of a circle is 30 cm, what would be its radius?
3.
What would be the area of a circle with a perimeter of 12 feet.
HELP
Answer:
1. diameter=5.54m
2. radius=9.55cm
3. area=11.46feet²
Step-by-step explanation:
1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]
A: area of the circle=25m²
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
25=(3.14)r²
r²=[tex]\frac{25}{3.14}[/tex] =7.69m²
r= √7.69= 2.77m
diameter d= 2 x r =2 x 2.77 =5.54m
2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]
P: perimeter of the circle= 30cm
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
30=(3.14)r
r= [tex]\frac{30}{3.14}[/tex] = 9.55cm
radius r = 9.55cm
3. First we have to find r (radius) from the equation of perimeter:
P=2[tex]\pi r[/tex]
r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet
Substitute r in the equation of area to get the area:
A= [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²
write down
the largest 5 digit
and factorize it.
Answer:
99999
Five Digit Numbers
The smallest five-digit number is 10000 and the greatest five-digit number is 99999.
Step-by-step explanation:
Complete each sentence with minimum or maximum and the corresponding numeric values.
The
value of f(x) = –|x – 4| – 5 is
when x =
.
The
value of f(x) = x2 – 2x + 1 is
when x =
.
Answer:
First problem: max when x = 4
Second problem: min when x = 1
Step-by-step explanation:
The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|. The vertex of the latter is (0, 0). First this must be translated 4 units to the right and then the resulting graph 5 units downward. The vertex of this translation is (4, -5). Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.
The graph of f(x) = x2 – 2x + 1, or (better yet) f(x) = x^2 – 2x + 1, or
f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).
A scale model of a large, three-dimensional “real world” object uses a scale of 0.5 in. = 50 ft.
Fred was only able to measure the model using metric units. He measured the length of the model as 372.5 mm.
Fred knows that 1 inch = 2.54 cm and that 1 cm = 10 mm.
What is the approximate length of the actual “real world” object?
A.
244.3 ft
B.
122.2 ft
C.
2,932 ft
D.
1,467 ft
The approximate length of the actual object is 1465 ft, which is closest to option D.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
First, let's convert the length of the model from millimeters to inches:
372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in
Next, we can use the scale of the model to find the length of the actual object in feet:
0.5 in. = 50 ft.
So, 1 in. = 100 ft.
Therefore, the length of the actual object in feet is:
14.65 in x (100 ft/in) = 1465 ft
Therefore, the closest length is 1467 feet.
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i do not know this answer
Answer:
15 miles
Use the Pythagoras theorem
Answer: 15
Step-by-step explanation:
Let's start by stating what we are given
The perimeter is 36
One side length is 12
And the other given side is 9
Finally we have an unknown side x
The value of all the sides added together is the perimeter.
So add all the sides
12+9+x=36
21+x=36
Subtract both sides by 21
21-21+x=36-21
x=15
Find m
S
12x +4
G
40°
F
E
D
4x
Answer: C
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
Answer: there iis none so cose zero
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
What is the FIRST STEP to solve this equation?
3x+2=17
Question 5 options:
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
2nd option I believe
Step-by-step explanation:
subtract 2 from both sides
Answer:
The first step is to subtract from both sides
Step-by-step explanation:
if you do this it's method of balancing equations whereby you have. 3x+2-2=17
help me with this math question please its find the area <3
Answer:
9.628 cm²
Step-by-step explanation:
Let A be the area of the sector OAB
Let a be the area of the sector OCD
The shaded area = A − a
[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]
[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]
The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²
select the correct answer
what is the solution for x in the equation
5/3x+4=2/3x
Answer:
x = -4
Step-by-step explanation:
4 = 2/3x - 5/3x
4 = -3/3x
4 = -x
-4 = x
a rectangle has an area of 473.2 m one of the sides is 9.1m in length answerh what is the perminiter
length= 9.1m
area= 473.2m^2
to find the perimeter:Substitute values for length (l) and breadth (b) into the perimeter formula.
solution:473/9.1=52
perimeter of rectangle= l+l+b+b
=52+52+9.1+9.1
P=122.2m