Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?
The number of months that she can withdraw $40 is 6 months.
How many times can she withdraw $40?
The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:
$150 = $390 - $40x
Where: x is the number of withdrawals
In order to determine the value of x, take the following steps
Combine similar terms: $390 - $150 = $40x
Add similar terms: $240 = $40x
Divide both sides of the equation by $40
x = 6
To learn more about division, please check: https://brainly.com/question/194007
please help me
how many perpendicular bisectors can be constructed for a line segment?
a.) 0
b.) 1
c.) 2
d.)infinitely many,
Please help asap!!! 16 points
FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING
Find the measure of the supplement of the angle.
What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?
Answer:
The ratio is [tex]\frac{27}{343}[/tex] or 27:343
Step-by-step explanation:
The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.
Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.
Let r' be the radius and h' be the height of the other cylinder.
Its volume is [tex]V'=\pi r'^{2} h'[/tex]
According to the given information, we have
[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]
Hence, we get
[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]
= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]
= [tex]\frac{27}{343}[/tex]
Therefore, the ratio is 27:343
A car traveled 75% of the way from town A to town B at an average speed of 50 kmph. The car travels at an average speed of S kmph for the remaining part of the trip. The average speed for the entire trip was 40 kmph. What is S?,
6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles did Donny drive?
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. when 297 people in the 22-29 age bracket are contacted, 262 respond and 35 refuse to respond. assume that 1 of the 387 people is randomly selected. find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond. report the answer as a percent rounded to one decimal place accuracy. you need not enter the "%" symbol. prob = 23.3 incorrect%
what is the sum or difference 10y^10-14y^10
Answer:
The required solution is [tex]-4y^{10}[/tex].
Step-by-step explanation:
The given expression is
[tex]10y^{10}-14y^{10}[/tex]
Take out the common factor [tex]y^{10}[/tex] from both terms.
[tex]y^{10}(10-14)[/tex]
[tex]y^{10}(-4)[/tex]
[tex]-4y^{10}[/tex]
Therefore the required solution is [tex]-4y^{10}[/tex].
Suppose you roll a special 49-sided die. what is the probability that the number rolled is a "1" or a "2"?
Final answer:
The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.
Explanation:
In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.
The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:
P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.
how Many decameters are in 13 hectometers
What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?
Answer:
Option B [tex]8.54\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]A(5,7)\\E(-3.4)[/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
Circle Y is shown. What is the area of the shaded part of the circle?
This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]
Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:
[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]
[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2
Thus, Option D is the correct option.
Solve for x.
2x = 15 + x
The solution to the equation is x = 15.
We have,
To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.
First, we can simplify the equation by subtracting x from both sides:
2x - x = 15 + x - x
This simplifies to:
x = 15
Thus,
The solution to the equation is x = 15.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
how many numbers are between 1 and 3 ?
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
For a given right triangle side a =490 feet and side b = 960 feet
WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),
The measure of an angle is 68°. what is the measure of a complementary angle?
the printed matter on a 14 by 18 centimeter page of a book must covor 140 square centimeters. if all margins are to be the same width, how wide should they be?
Which of the following rational numbers is equal to 3.4? (line above the four)
A: 31/9
B. 32/9
C. 33/9
D. 34/9
Answer:
I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.
Step-by-step explanation:
Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
Answer:
B
Step-by-step explanation:
:)
Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer
23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers
0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers
9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,
Answer:
Correct options are:
c
a
b
Step-by-step explanation:
The map scale is:
1 centimeter = 1 kilometer
23 centimeters=23 kilometers
Correct option is: c
0.5 centimeters=0.5 kilometers
Correct option is: a
9 centimeters=9 kilometers
Correct option is: b
I confused on how to solve these trigonometric ratios.
The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000
Someone please help me
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36
2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024
3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,
In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn
What is the value of n?
Enter your answer in the box.
n = cm
Answer:
n = 14 cm
Step-by-step explanation:
We are required to find the find the value of n.
Since, we have the lines are intersecting in the circle.
So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.
[tex]4\times n= 8\times 7[/tex]
i.e. [tex]4n=56[/tex]
i.e. n = [tex]\frac{56}{4}[/tex]
i.e. n = 14
Hence, the value of n is 14 cm.