The balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
Answer:
6 months
If growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12 thn in 6 months the f(x) balance is greater than the g(x) balance.
What type of financial institution account grows?excessive-yield financial savings accounts stand out from conventional financial savings bills in that they praise you with a better interest rate, permitting your cash to grow even quicker as it sits on your account. The interest charge that these debts provide is noted as APY or annual percentage yield.
What account grows the most cash?fees and minimal balance: CDs tend to pay the very best hobby prices of the 3 varieties of savings bills. They commonly require around $1,000 to open, but there are CDs without a minimum beginning balance requirement. CDs typically don't rate a month-to-month rate.
Learn more about financial institution accounts here: https://brainly.com/question/9297059
#SPJ2
Factor Completely: 54m^5+18m^4+9m^3
Find the point that is two-thirds of the way from (3,4) to (9,-2)
Two-fifths of a number is decreased by three. Find the value of the expression if the number is twenty-five.
A. 8.8
B. 13
C. 10
D. 7
Answer:
7.
Step-by-step explanation:
2/5x -3
If we plug in 25, we get:
2/5(25) - 3 =
50/5 - 3 =
10 - 3
7
Draw two different visual representations of 3/5. Use different shapes for each representation.
Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a2? A.22.63
B.54.63
C.9.37
D.3.10
Since b = c, the angles B and C also equal
so you get
180 - 45 = 135
135/2 = =67.5 for each angle
now we know 2 sides and all 3 angles, use the law of sines to find a
b/sin B = a/sin A
4/(sin 67.5) = a/(sin 45)
a = 4(sin 45)/(sin 67.5)
a^2 = (4(sin 45)/(sin 67.5))^2
a^2 = 9.37
Answer is C
Which two variables are related in bernoulli's equation?
A coin is tossed 5 times how many different outcomes are possible
20 points!
Show work please! I have no idea how to do this, haha.
In the diagram below, which distance represents the distance from point J to KL
Answer:
Option B JM is the right answer.
Step-by-step explanation:
The distance that represents the distance from point J to KL is JM.
The distance between any given point and a line is the shortest distance between a fixed point and any point on the line.
This implies that it is the length of the perpendicular line segment on the line and passes through the point.
Here, in the figure, JM is perpendicular to the line KL drawn from the point J.
So, the answer is JM.
Paula is working on her English essay. She already has 150 words written and has planned out the rest. Paula's essay must be 3,000 words in length, and she types at a rate of 38 words per minute.
Which equation represents the number of words in her essay, and how many minutes, m, will it take Paula to complete it?
a) 38m - 150 = 3,000; m = 75 minutes
b) 38m - 150 = 3,000; m = 83 minutes
c) 38m + 150 = 3,000; m = 75 minutes
d) 38m + 150 = 3,000; m = 83 minutes
The correct equation for the given scenario is 38m + 150 = 3,000. Solving this equation, we find that it will take Paula approximately 75 minutes to finish her essay.
Explanation:The question involves calculating how much time Paula needs to complete her essay based on her typing speed and desired essay length. Paula needs to write 3,000 words, but she already has 150 written. Therefore, she needs to write 3,000 - 150 = 2,850 more words. If she types at a rate of 38 words per minute, the number of minutes, represented as m, can be found using the equation 38m = 2,850. Therefore, the correct equation from the options is 38m + 150 = 3,000. Solving this equation for m gives m = 2,850 / 38 ≈ 75 minutes. Thus, option c) 38m + 150 = 3,000; m = 75 minutes is the correct answer.
Learn more about Typing Time Calculation here:https://brainly.com/question/29266570
#SPJ12
A total of 720 people attended the school-basketball game. adult tickets cost $2.50 each and student tickets cost $1.50 each. if $1220 worth of tickets were sold, how many students and how many adults attended?
Find two numbers differing by 44 whose product is as small as possible.
Given that the product of two numbers will be smallest when the two numbers are equal, the numbers closest to this rule given the condition of having a fixed difference of 44 are -22 and 22.
Explanation:This problem falls under the branch of Mathematics called optimization problems in calculus. In this case, we are asked to find two numbers differing by 44 whose product is smallest. Remember that the product of two numbers that are a fixed difference apart will be smallest when the two numbers are equal. But since we can't have that according to the problem's conditions, we will have to get the closest possible which is making the two numbers as close to each other as possible.
Let's denote the smaller number as 'x'. Consequently, the larger number will be 'x + 44'. The product of these two numbers (which we want to minimize) is given by the function f(x) = x * (x + 44). To find the minimum, you would typically take the derivative of this function, set it equal to zero, and solve for 'x'. However, since we're dealing with a quadratic function, we know the graph is a parabola that opens upwards, and thus the minimum point is at the vertex. In a quadratic function given in the form of f(x) = a*(x - h)² + k, the vertex is at the point (h, k). Comparing this with our quadratic function, we can see by inspection that our 'h' is '-22'. Therefore, the two numbers are -22 and 22.
Learn more about Optimization in Calculus here:https://brainly.com/question/35182200
#SPJ12
The smallest product of two numbers differing by 44 is -484. These numbers are -22 and 22.
Explanation:This problem is solvable using the principle of quadratic minimum. Let's denote the two numbers as x and x + 44. Their product equals x(x + 44) = x2 + 44x.
This is a quadratic function with a positive leading coefficient (x2), therefore, it will yield a minimum value. The x-value for this minimum can be found using the formula -b/2a for any quadratic ax2 + bx + c, where a = 1 and b = 44. Calculating, -b/2a = -44/2 = -22.
This means that the product will be smallest when x = -22. However, since we're looking for two numbers that differ by 44, the necessary pairs are -22 and 22. The product of these two numbers, (-22)(22), equals -484, which is indeed the smallest possible product for two numbers differing by 44.
Learn more about Quadratic Minimum here:https://brainly.com/question/33448010
#SPJ11
PLEASE HELP WILL BAINLIEST
What is m∠M ?
Enter your answer in the box.
which equation represents a linear function? equation 1: y = 2x2 1 equation 2: y2 = 3x 1 equation 3: y = 5x – 1 equation 4: y = 4x4 – 1 (5 points) equation 1 equation 2 equation 3 equation 4
linear means first degree
first degree means the hightest exponent of the variables is 1
so
equation 1:
[tex]y=2x^2+1[/tex]
highest exponent is 2, not 1
not leinear
equation 2: y^2=3x+1
highest exponent is 2, not 1
not linear
equaton 3 y=5x-1
y=5x^1-1, it is 1
it is linear
equaton 4
y=4x^4-1
highest is 4, not 1
not linear
answer is equation 3: y=5x-1
Answer:
equation 3
Step-by-step explanation:
What is 10 more than 451
The area of the parallelogram is (4x+16)(4x+16) square feet. write an expression for the base. expression for the base: 16x ft
Answer:
[tex]base=\frac{4x+16}{height}[/tex] which is the required expression.
Step-by-step explanation:
We have been given the area of parallelogram which is (4x+16)
And the formula for area of parallelogram is [tex]base\cdot height[/tex]
Hence, when we substitute the value if area of parallelogram in the formula we get:
[tex]4x+16=base\cdot height[/tex]
Now, rearranging the terms so, as to get the expression for the base or value of base in terms of height and area we get:
[tex]base=\frac{4x+16}{height}[/tex] which is the required expression.
BEST ANSWER GETS BRAINLIEST PLEASE HELP
11. y - y₁ = m(x - x₁)
y - 4 = ²/₃(x - 3)
y - 4 = ²/₃x - 2
y = ²/₃x + 2
12. y - y₁ = m(x - x₁)
y - 0 = ⁻¹/₅(x - 5)
y - 0 = ⁻¹/₅x + 1
y = ⁻¹/₅x + 1
when ava bought her car, it was worth 19,340. it was expected to decrease at a rate of 12.5% each year. what is the best prediction for value of avas car 10 after she bought it
A.8173
B.6840
C.5088
D.2418
19340 * (1-0.125)^10 =
19340 * 0.875^10 =
$5087.88 round to 5088
Please Help
Simplify.
(y/4)divide(1/4)
The perimeter of the triangle below is 55 units. find the value of z.
Jack earns $50 for washing cars on the weekend. He makes an average of $4.25 in tips per hour. Write the function of Joe's earnings, and solve for how much he would make after 6 hours.
HELP ASAP!!!!!!!!!!!!
Which property justifies the following statement? ∠AOB ≅ ∠AOB
Transitive Property of Congruence
Reflexive Property of Congruence
Symmetric Property of Congruence
Distributive Property
Reflexive Property of Congruence justifies the following statement ∠AOB ≅ ∠AOB. Option B is correct.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
∠AOB ≅ ∠BOB
It can be obtained, only by when the angle gets reflected.
So by the reflexive Property of Congruence justified.
Thus, the reflexive Property of Congruence justifies the following statement ∠AOB ≅ ∠AOB. Option B is correct.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Find limit as x approaches 4 of the quotient of the quantity the square root of the quantity 3 times x plus 4 minus the square root of 4 times x and the quantity x squared minus 4 times x . you must show your work or explain your work in words
Rearrange the formula c2 = a2 + b2 for b.
Answer:
[tex]b = \sqrt{csquare - a square[/tex]
Step-by-step explanation:
A sequence is defined by the recursive function f(n + 1) = –10f(n).
If f(1) = 1, what is f(3)?
Answer:
100
Step-by-step explanation:
Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for general expenses. She earned $900 per week in sales. What is the minimum number of weeks it will take for Reiko to make a profit? Write an inequality to model the problem.
If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium? a. $175.50 b. $3,205.12 c. $234.00 d. $1,755.00
Jesse’s annual premium would be $175.50. The correct option is A.
What is annual premium?An annual premium is the amount of money paid by an insurance policyholder each year in order to keep their coverage.
It is usually paid all at once, but it can also be paid in installments throughout the year.
The amount of the premium is determined by factors such as the type of insurance, the level of coverage, and the policyholder's risk profile.
The face value of the policy is $75,000. Since the annual premium rate is $2.34 per $1000 of face value, the annual premium Jesse would have to pay is:
$75,000 / $1000 = 75
75 x $2.34 = $175.50
Therefore, Jesse’s annual premium would be $175.50. The correct option is a.
For more details regarding annual premium, visit:
https://brainly.com/question/9834518
#SPJ7
Find the sum and express it in scientific notation. 0.00348 + (6.2 x 10-2)
Which statements are correct interpretations of this graph?
Select each correct answer.
1 2/3 of a page is edited per minute
3 pages are edited every 5 min
6/10 of a page is edited per minute
5 pages are edited every 3 min
I need help ASAP! Anyone help?