Answer:
8.03
Step-by-step explanation:
43 min = 3.75 miles
90 min = X
99 min×3.75÷42=8.03
Charlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions. How much interest will Charlie’s initial investment earn over the 15-year period? How much money does Charlie have after the 15 years?
PLZ HELP ASAP
Answer:
390 and 715
Step-by-step explanation:
Answer:
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.
How much interest will Charlie’s initial investment earn over the 15-year period?
✔ $390
How much money does Charlie have after the 15 years?
✔ $715
Step-by-step explanation:
What does the value 3 represent in this exponential equation?
Answer:
The base
Step-by-step explanation:
Just did it
Answer:
the base (b)
Step-by-step explanation:
edg. 2021
The restrooms for the former Estabrook Hall were known to each be 117 cubic feet in volume. We are tasked with creating a 1:4 scale model of one of the rooms. For the purposes of this analysis, we'll treat the facilities like simple rectangular boxes. What is the volume of the model in cubic inches? If the model has a floor area of 117 sq. Inches, what is the height of the real facility? (include units with answer)
Answer:
1) The volume of the model is 3159 in.³
2) The height of the real facility is 61.94 ft
Step-by-step explanation:
1) The parameters given are;
Volume of the Estabrook hall = 117 ft³
Scale of model = 1:4
For the scale factor of a volume, we have;
[tex]Volume \, scale \, factor =\left (\frac{a}{b} \right )^3 = \left (\frac{1}{4} \right )^3 = \frac{1}{64}[/tex]
That is the volume of the model is 1/64 times the volume of the actual Estabrook hall restrooms or
[tex]\frac{1}{64} \times 117 \, ft^3= 1\tfrac{53}{64} \, ft^3[/tex]
∴ The volume of the model = 1.83 ft.³
1 ft.³ = 1728 in.³
∴ 1.83 ft.³ = 1.83 ft.³ × 1728 in.³/ft.³ = 3159 in.³
2) Where the model of the floor has an area of 117 in.²
Therefore, since the volume of a rectangular prism shape = Floor area × Height, we have
The height, h = Volume/(floor area) = 3159/117 = 185.8 in.
From a scale of 1:4, we have that the height of the real facility = 4 × 185.8 in.
Hence, the height of the real facility = 743.3 in = 61.94 ft.
What is the correct equation for the line in slope-intercept form?
Answer:
y=-5x+35
Step-by-step explanation:
The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.
First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).
We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.
So, we find that the m value is equal to -5.
The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.
Thus we have the equation of the line is y=-5x+35.
Hope this helps!
There are two 3's in the number 2,033,541 Jessica says that the 3 on the left is 10 times the value of the 3 on the right Raul says the 3 on the right is 1/10 the value of the 3 on the left who is correct explain your thinking
Step-by-step explanation:
I think both are correct because Jessica says 30000 is 10 times of 3000 and she is right whereas Raul says 3000 is 1 / 10 of 30000 he is also right
Jonathan's car used 3 gallons to travel 45 miles. How many miles can the car go for each gallon of gas?
Answer:
Jonathans car can go 15 miles per gallon of gas
Step-by-step explanation:
Do 45 divided by 3
Answer:
15 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
45 miles / 3 gallons
15 miles per gallon
Find the area of this shape. Correct answer will Brainliest
Answer:
As shown in picture, this is a trapezoid.
The area of a trapezoid is calculated by:
A = (base1 + base2) x height x (1/2)
To work out A, we need to find out base1, base2, and height.
base1 = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]
base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]
Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.
=> A = (3 + 7) x 4 x (1/2) = 20
Hope this helps!
:)
Find the area of the the regular polygon.
Answer:
Area of regular polygon: ( About ) 442.8 units^2; Option C
Step-by-step explanation:
~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~
Here we are directly provided with the apothem, which makes it a whole lot easier than dividing the figure into triangles, drawing an altitude to one of the triangles, determining the tan degree of the triangle etc.
1. Given one of the sides to be 11 units, the perimeter of this hexagon would be 11 * 7, as it is implied that it is a regular polygon ⇒ Perimeter: 77 units
2. Now let us substitute the apothem and perimeter into this formula to determine the area of this regular polygon: 1/2 * 11.5 * 77 ⇒ 442.75
Area of regular polygon: ( About ) 442.8 units^2
PLEASE ANSWER IF YOU CAN!!!
show your work if can too:(
Answer:
The larger pyramid is 5,376 inches^3 greater
Step-by-step explanation:
To calculate how many inch greater the volume of the larger pyramid compared to the volume of the new smaller pyramid, what we do is to calculate the volume of both.
Mathematically, the volume of a square pyramid = area of base * height of pyramid
For the larger pyramid, length of base is 16 inches and height is 24 inches;
The area of base is L^2 since it is a square; 16 * 16 = 256 inches^2
The volume is thus 256 * 24 = 6,144 inches^3
For the smaller pyramid also, we use the same approach but this time, length of base is 8 inches and height is 12 inches
Area of base = 8 * 8 = 64 inches^2
Volume = 64 * 12 = 768 inches^3
Now how much more is the larger pyramid, that would be the volume of the larger pyramid- volume of the smaller pyramid = 6144 - 768 = 5,376 inches^3
The weight of each cookie in a batch of a certain type of commercially produced cookie follows an approximately normal distribution with a mean of 11.32 grams and a standard deviation of 0.03 grams. Approximately what percent of the cookies weigh between 11.32 and 11.35 grams?
Answer:
Around 34.14% of the cookies are between 11.32 and 11.35 grams.
Step-by-step explanation:
In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.
Omar is participating in a -day cross-country biking challenge. He biked for 67,60 ,69 ,68 , and 70 miles on the first five days. How many miles does he need to bike on the last day so that his average (mean) is 67 miles per day?
Answer:
68 miles
Step-by-step explanation:
Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles
Let the distance biked on the sixth day=x miles
We want his average for the 6 days =67 miles per day
Therefore:
[tex]Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles[/tex]
He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/
Lines which never meet or cross each other are called ___________
Answer:
These are called Parallel Lines
Answer:
Parallel lines never intersect
Step-by-step explanation:
The distance between the parallel lines remains constant.
please help asap i do not like slopes
Your answer is A. (0,0)
The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, which is where the line cuts the y-axis.
In the line y = 4x, the ‘m’ would be 4 and the ‘+ b’ would be 0, which means that the line cuts the y-axis when y = 0.
There are only 2 answer options that have y = 0, A (0, 0) and D (4, 0). To find out which is correct, we can substitute in y = 0 into the equation y = 4x to see what the x-value would be:
y = 4x
0 = 4x
0 = x
Therefore the answer is A.
I hope this helps!
Think of y = 4x as y = 4x + 0.
If you don't have anything you're adding to
adding or subtracting to then it's 0.
Now our equation is in slope-intercept form.
We can write this as the ordered pair (0, 0).
Please answer CORRECTLY !!! Will mark brainliest !!!!
Answer:
70
Step-by-step explanation:
Answer:
The answer is 70.
Step-by-step explanation:
In order to find the value of k(-5), you have to substitute the value of x into the function k :
[tex]k(x) = 6x + 100[/tex]
Let x = -5,
[tex]k ( - 5) = 6( - 5) + 100[/tex]
[tex]k( - 5) = - 30 + 100[/tex]
[tex]k( - 5) = 70[/tex]
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate.
Answer:
110 words in 5 min, 220 words in 10 min
Step-by-step explanation:
y = mx (there is no intercept because you can't type anything in 0 minutes)
66 = 3m
m = 22
y = 22x
5 minutes:
y = 22(5) = 110 words
10 minutes:
y = 22(10) = 220 words
Calculate sin to two decimal places.
The value of the trigonometry function sin θ in the triangle would be, 0.34.
Used the concept of trigonometry function,
sin x = Opposite / Base
Given that,
A triangle with angles is shown in the figure.
Since we know that,
sin x = Opposite / Base
Here, for the angle θ;
Opposite = 7.78
Base = 22.6
So, we get;
sin x = Opposite / Base
sin θ = 7.78 / 22.6
sin θ = 0.34
Thus, The value of the trigonometry function sin θ would be, 0.34.
To learn more about the triangle visit;
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work out 4 1/9 - 3 3/5
Answer:
23/45 or0.51
Step-by-step explanation:
convert:the equation
u will hv 37/9-18/5
subtract. 37/9-18/5=23/45
23/45 or 0.51
7. Arby's offers college students a 10% discount. Jason and his friends went there for
lunch and bought food for $33.70. How much did it cost after they received the 10%
student discount?
Answer:
30.33
Step-by-step explanation:
33.70 x .10= 3.37 (discount)
33.70 - 3.37= 30.33
Find the volume. Round to 1 decimal place
Answer:
380.8cm³
Step-by-step explanation:
Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]
'r' is the radius.
'h' is the height.
We are given a height of 9.9 cm and a diameter of 7cm.
The radius is half the diameter.
Divide 7 by 2:
[tex]7/2=3.5[/tex]
The radius is 3.5 cm.
Solve for The Volume (Using 3.14 for pi):
[tex]V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}[/tex]
380.8035 ≈ 380.8
The volume of the cylinder should be 380.8cm³.
Which is an equation for the circle?
Answer:
Option D.
Step-by-step explanation:
From the given graph,
Center of the circle = (-4, -2)
This circle passes through a point (0, -3),
Radius of the circle = Distance between center and point (0, -3)
r = [tex]\sqrt{(0+4)^{2}+(-3+2)^{2}}[/tex]
r = [tex]\sqrt{17}[/tex]
Standard equation of the circle is,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius of the circle.
By putting the values in this equation,
(x + 4)² + (y + 2)² = (√17)²
(x + 4)² + (y + 2)² = 17
Option D. will be the answer.
Enter the slope intercept equation of the line Shown below.
Answer:
The answer is y = 3x + 3.
Step-by-step explanation:
Hope it helped!
Alejandra gets paid 9 dollars per hour she works. If h is the total number of hours Alejandra works, which expression could be used to find the total pay, in dollars, that she receives?
Answer:
If she worked 24 hours then she would get 216 cash in dollars.
Step-by-step explanation:
All you would have to do is multiply 9 by 24 and you would get 216 dollars. and i thin this is correct.
Write a possible recursive rule and then find a7 for { 7,12,17,22,27}
Start from 7, then add 5 each time.
a7 is 7 plus 30, or 37.
Which function is shown in the graph below?
what degrees do you need to rotate a fan?
Answer:
360°
Step-by-step explanation:
degrees are needed
Fair is 5$ and the cost per ride is 0.50 how many rides can you go on if you have 20$
Answer: 30 rides I think
Step-by-step explanation:
Answer:
30 rides
Step-by-step explanation:
y = mx + b
0 = -.5x + 20 - 5
0 = -.5x + 15
-15 = -.5x
30 = x
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the greatest number of books by a student in this group
Answer:
15
Step-by-step explanation:
.
The greatest number of books by a student in this group is 15.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the box plot,
We can see that,
Median = 6
First quartile = 2
Third quartile = 10
Smallest number = 2
Highest number = 15
Thus,
The greatest number of books by a student in this group is 15.
Learn more about the interquartile range here:
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Which equation represents the circle shown in the graph?
Answer:
i think 3
Step-by-step explanation:
Vanessa purchased a smart TV for
$1,500 on a payment plan. Four
months after purchasing the TV, her
balance was $1,200. Seven months
after purchasing the TV, her
balance was $975. Find an equation
that models the balance y after t
months. How many months will it
take her to pay off the TV loan?
Answer:
y = 1500 - 75t
It will take her 20 months to pay off her TV loan.
Step-by-step explanation:
Vanessa purchased a smart TV for $1500 on a payment plan. After 4 months of purchasing the TV her balance was $1200 . 7 month her balance was $975. The amount she pays every month can be calculated as follows. After 4 months she paid 1500 - 1200 = $300. Her balance is $1200. Divide 300 by 4 to get $75 per month as the amount she pays every month.
1500 - 975 = 525/7 = $75 per month.
The equation to model the balance y after t months can be expressed below.
y = 1500 - 75t
where
y = balance
t = number of months
Her balance should be $0 for her to be able to pay off the TV loan.
y = 0
-1500 = -75t
divide both sides by -75
t = -1500/-75
t = 20
It will take her 20 months to pay off her TV loan.
Select the decimal that is equivalent to
41/99
Answer:
0.414141...
Step-by-step explanation:
Use a calculator to divide 41 by 99. The answer is a non-terminating, repeating decimal.
41/99 = 0.414141...