The price of reusable tote bags and the interest rate may change over time, which could affect the length of time that Dariya's savings will last.
What is the interest rate?
The proportion of a loan that is charged as interest to the borrower is typically expressed as an annual percentage of the loan outstanding.
If Dariya deposits $4,000 into a savings account with an annual nominal interest rate of 5%, the amount of interest she earns each year will be $4,000 * 5% = $200.
If the price of a reusable tote bag is $10.00 and Dariya wants to buy one every year, the cost of buying one reusable tote bag every year will be $10.00/year.
To determine how long Dariya's savings will last, you can divide the amount of her annual interest earnings by the cost of buying a reusable tote bag each year.
In this case, Dariya's savings will last for 200/10 = 20 years.
Keep in mind that this calculation assumes that the price of reusable tote bags remains constant at $10.00/year and that the nominal interest rate remains fixed at 5% per year.
Hence, the price of reusable tote bags and the interest rate may change over time, which could affect the length of time that Dariya's savings will last.
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5. Jennie needs to determine how much money she will have in her bank account after 6 months, if twice a month she has a deposit of $500.00 into her account, and she spends $450 every month on living expenses. Jennie's bank account currently has a balance of $110.00. Write an equation and use it to find the balance of Jennie's bank account after 6 months. Show all work and explain each step.
Answer:
Step-by-step explanation:
Let's start by figuring out how many deposits Jennie will make over the 6 month period. Since she receives two deposits per month, she will receive a total of 2 x 6 = 12 deposits.
Next, let's calculate how much money she will receive from these deposits. Each deposit is for $500, so over 12 deposits she will receive a total of 12 x $500 = $6000.
Now we need to figure out how much money Jennie will spend on living expenses over the 6 month period. She spends $450 every month, so over 6 months she will spend 6 x $450 = $2700.
To find the balance of Jennie's bank account after 6 months, we can use the following equation:
Balance after 6 months = starting balance + total deposits - total living expenses
Plugging in the values we calculated earlier, we get:
Balance after 6 months = $110 + $6000 - $2700
Balance after 6 months = $4400
Therefore, Jennie will have a balance of $4400 in her bank account after 6 months.
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
Please answer these questions!! I will mark as brainliest :)
Answer:
The answer to your question is all 9 and 10's for each questions
Step-by-step explanation:
I am just making my best guest to help you My friend
Now have a Blessed day
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
0°≤ theta ≤ 180° and cos theta = -3/7, find tan theta, and csc theta. Include a sketch as a part of your solution. Rationalize denominators.
The trigonometry ratios are tan(∅) = 2/3√10 and
csc(∅) = 7√10/20
How to determine the trigonometry ratiosFrom the question, we have the following parameters that can be used in our computation:
0°≤ ∅ ≤ 180°
Also, we have
cos(∅) = -3/7
The tangent is calculated as
tan(∅) = √[1/cos²(∅) - 1]
Substitute the known values in the above equation, so, we have the following representation
tan(∅) = √[1/(-3/7)² - 1]
So, we have
tan(∅) = √[49/9 - 1]
This gives
tan(∅) = √40/9
So, we have
tan(∅) = 2/3√10
Also, we have
cos²(∅) + sin²(∅) = 1
So, we have
(-3/7)² + sin²(∅) = 1
Evaluate
sin²(∅) = 1 - (-3/7)²
sin²(∅) = 1 - (9/49)
sin²(∅) = 40/49
Take the inverse of both sides
csc²(∅) = 49/40
So, we have
csc(∅) = 7/(2√10)
Rationalize
csc(∅) = 7√10/20
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C of gas is the price p per gallon times the number of gallons g
Answer:
C=pg OR C/p=g OR C/g=p
I’LL GIVE BRAINLIEST, A HEART, AND 5 STARS TO WHOEVER ANSWERS FIRST
(Please answer ALL questions and show how you got the answer!)
Group B has lower range.
Group A shows variability.
Mean is the best to make concussion about age of Salsa students.
Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.
This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.
In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.
So, Group B has lower range.
and, Group A shows variability.
Lastly, Mean is the best to make concussion about age of Salsa students.
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c^2cos^2 B+ b^2cos^2 C + bc cos (B - C) = 1/2(a^2+b^2+ c^2)
Answer:
n
me vale
Step-by-step explanation:
spanish hgjddjzfurdoydoydotroyd6odo6eoyeoydtodyodo6do55od5od5odo5dtodtofpydypff6
XD
Evaluate the expression when c=-4 and x=3.
C- 3r
The value of the given expression for given c and x values is 9.
The given expression is c - 3r.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Put the values c=-4 and x=3 in the given expression, we get
-3 - 3(-4)
= -3 +12
= 9
Therefore, the value of the given expression for given c and x values is 9.
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If the first equation is multiplied by 3 and then the equations are added, the resut is
3x+ y=3
x-3y=2
Find the inverse please and thank you
The inverse \(f^{-1}(x)\) is such that
\(f\left(f^{-1}(x)\right) = x\)
We have
\(f\left(f^{-1}(x)\right) = -9\sqrt{f^{-1}(x) - 8} + 5 = x\)
Solve for the inverse.
\(-9\sqrt{f^{-1}(x)-8} + 5 = x \\\\ -9\sqrt{f^{-1}(x)-8} = x-5 \\\\ \sqrt{f^{-1}(x)-8} = -\dfrac{x-5}9 \\\\ \left(\sqrt{f^{-1}(x)-8}\right)^2 = \left(-\dfrac{x-5}9\right)^2 \\\\ f^{-1}(x) - 8 = \dfrac{(x-5)^2}{81} \\\\ \boxed{f^{-1}(x) = 8 + \dfrac{(x-5)^2}{81}}\)
Help ASAP PLSSS!! I’d really appreciate it! Thank youuu!
Julie printed out a picture of each of the six members of her favorite band to decorate her bedroom door. Each picture measures 5 inches by 7 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
On Julie's door, the images will span 210 square inches.
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
What is an inch?Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.
The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.
From the question:
Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.
One image's area is as follows:
5 inches x 7 inches = 35 square inches
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
Consequently, 210 square inches of Julie's door will be covered by the images.
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A $60 video game is on sale for 40% off. How much will you save?
Answer:
24$
Step-by-step explanation:
The amount saved is the discount
Answer: $24.
Step-by-step explanation:
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
if you roll a 6 sided die 66 times what is the best prediction possible for the number of times you will roll a five
Answer:
11/66, or 11 times
Find the intercepts. for both the x and y intercepts, make sure to do the following. if there is more than one, separate them with commas:x intercepts y intercepts
The intercepts to a curve are the lengths of the axes from the origin, at which the curve intersects the axes.
The given parabola intersects the x-axis two times, while the y-axis just once.
So the given parabola will have 2 x-intersepts, and 1 y-intercept.
Consider that the parabola intersects x-axis at (-2,0) and (4,0).
So the x-intercepts are -2 and 4.
Similarly, observe that the parabola intersects the y-axis at (0,-8).
So the y-intercept is -8.
a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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Is the formula V=LWH or V=BH or A=BH
PLEASE HELP!
Answer:
It's A=BH
Step-by-step explanation:
In the story the key words are there: Area, base/length, height
Answer:
It's A=BH
Step-by-step explanation:
if you borrow $400 for 3 years at an annual interest rate of 4% how much will you pay altogether?
Answer:
$448
Step-by-step explanation:
por que es nesesario expresar un numero mixto como 1 fraccion impropia?
Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
¿Qué es un número mixto y una fracción impropia?
En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.
Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:
El número mixto emplea tanto números enteros como fracciones, es de hecho la suma de un número entero y una fracción. (i.e. 1.5 = 1 1 / 2)La fracción impropia es solamente una fracción, en la cual el valor del numerador es mayor que el valor del denominador. (i.e. 1.5 = 3 / 2)Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *
Answer:
x = 3 + 2p (2p is 2 times p)
PLEASE HELPP PLEASEE
Answer:
Step-by-step explanation:
\(762=330(1+0.11)^{n}\)
\(n=8.02\)
If I had 60 units needed and units per case was 14 how many full cases and additional items are needed to fufill the order
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Write an equivalent expression for 2(3x + 5).
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
\(\huge\text{Hey there!}\)
\(\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}\)
\(\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }\)
\(\large\textbf{a(b + c)}\)
\(\large\textbf{= a(b) + a(c)}\)
\(\large\textbf{= ab + ac}\)
\(\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}\)
\(\huge\textbf{Your equation that you provided:}\)
\(\large\textbf{2(3x + 5)}\)
\(\large\textbf{= 2(3x) + 2(5)}\)
\(\large\textbf{= 6x + 10}\)
\(\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}\)
\(\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}\)
\(\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjo your day!}\)
~\(\huge\boxed{\frak{Amphitrite1040:)}}\)The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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Where is the blue dot? Fill in the blank
Answer:
-19
Step-by-step explanation:
It's every 3 numbers because -7 would be between -10 & -4