for 5 monthly checks, both banks charge the same amount.
for x < 5, Bank B charges less.
for x > 5, Bank A charges less.
For what numbers of monthly checks will Bank A charge less than Bank B?Bank A charges a fixed fee of $5.00 plus $0.15 per-check fee.
So, if you do x monthly checks, Bank A will charge you:
A(x) = $5.00 + $0.15*x
Bank B charges a service fee (fixed) of $2.50 plus $0.35 per check, then for x monthly checks they charge:
B(x) = $2.50 + $0.35*x
Both banks will charge the same amount when:
A(x)= B(x)
So we need to solve the linear equation:
$5.00 + $0.15*x = $2.50 + $0.35*x
$5.00 - $2.50 = $0.35*x + $0.15*x
$2.50 = $0.50*x
$2.50/$0.50 = x = 5
So, for 5 monthly checks, both banks charge the same amount.
for x < 5, Bank B charges less.
for x > 5, Bank A charges less.
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Answer: 19
Step-by-step explanation:
If your car gets 33 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $3.50 per gallon?
Answer:
$37.12
Step-by-step explanation:
Total cost = $3.50(350/33) = $37.12
7) Mt. Denali in Alaska measures about 5,500 meters from its base to its
highest peak. How high is this in feet? Round your answer to the nearest
thousand.
The measured height in feet of the base to its highest peak is 18045.5 feet
How to determine the measured height in feet?The given parameter is
Length of the base to its highest peak = 5500 meters
As a general rule
1 meter = 3.281 feet
So, we have:
Length of the base to its highest peak = 5500 * 3.281 feet
Evaluate the product
Length of the base to its highest peak = 18045.5 feet
Hence, the measured height in feet of the base to its highest peak is 18045.5 feet
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Seth buys last year's best-selling novel, in hardcover, for $16.90. This is with a 35% discount from the original price. What was the original price of the novel?
Answer:26
Step-by-step explanation:
x - .35x = 16.90
x(1 - .35) = 16.90
x(.65) = 16.90
x = 16.90/.65
x = $26
Refer to the graph at the right. Write each equation in the correct column.
The only possible equation of the drawn line is: y - 2 = 1/2(x + 4)
The rest options are not equations of the drawn line.
What is the Equation of a Line in Point-Slope Form?The equation, y - b = m(x - a), is the point-slope form of any given line where m is the slope of the line and any point on the line is given as (a, b).
Slope (m) = rise/run.
Find the slope (m) of the graph at the right.
Slope (m) = rise/run = 1 units/2 units
Slope (m) = 1/2.
Any possible equation of the line should have a slope of 1/2.
y - 2 = 1/2(x - 4), y - 2 = 1/2(x + 4), and y - 4 = 1/2(x - 2) are the only equations that has a slope of 1/2.
Using a point on the line, say (0, 3), substitute x = 0 and y = 3 into each of the three equations to check if the equation is true.
y - 2 = 1/2(x - 4)
3 - 2 = 1/2(0 - 4)
1 = -2 [not true]
y - 2 = 1/2(x + 4)
3 - 2 = 1/2(0 + 4)
1 = 2 [not true]
y - 4 = 1/2(x - 2)
3 - 4 = 1/2(0 - 2)
-1 = -1 [true]
Therefore, the only possible equation of the drawn line is: y - 2 = 1/2(x + 4)
The rest 4 equations are not equations of the drawn line.
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What is the price of 0.02percent of it is 0.01£?
Answer:
2*10^-4
Step-by-step explanation:
0.02*0.01
You receive the following prescription. Celexa comes in a 240 mL container, in an
oral solution of 10 mg/5 mL.
R Celexa oral solution 30 mg PO a day
a. How much liquid will be in each dose?
b. How long will the container last the patient?
Each dose will contain 15 ml volume of liquid.
The container will last for 16 days.
What is Volume?Volume is a measurement of three-dimensional space that is occupied. Numerous imperial units or SI-derived units, such as the cubic meter, gallon, quart, cubic inch and liter, are frequently used to quantify it numerically .
What is Unitary Method?The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other.
Inverse variation is the direct variation's opposite. A quantity's value decreases if we raise the other quantity, and vice versa.
Given data:
Volume of Celexa oral solution container = 240 ml.
Concentration of Celexa oral solution(m/v) = 10 mg/ 5 ml.
Dosage for one day = 30 mg.
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1
1) Find the average rate of change in height for Chuck. At age 10, Chuck
was 51 inches tall. At age 18, Chuck was 64 inches tall.
I
The average rate of change is 1.625.
How to find the average rate of change?The average rate of change in height for chuck can be found as follows:
The average rate of change is a measure of how much the function changed per unit, on average, over that interval.
Therefore,
average rate of change = change in y / change in x
Therefore,
(10, 51)(18, 64)
average rate of change = y₂ - y₁ / x₂ - x₁
x₁ = 10
x₂ = 18
y₁ = 51
y₂ = 64
Therefore,
average rate of change = 64 - 51 / 18 - 10
average rate of change = 13 / 8
average rate of change = 1.625
Therefore, the average rate of change is 1.625.
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Need to get this math done. What is the product?
In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7
Product of (3a^2b^4)*(-8ab^3)
Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.
The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:
Multiplicand: The first number (factor).
Multiplier: The second number (factor).
Product: The final result after multiplying the multiplicand and multiplier.
(3a^2b^4)*(-8ab^3)= -24a^3b^7
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its geometry hope someone sees thing lol
From the given geometry, it can be concluded that line 'a' and 'b' are parallel.
What do you mean by geometry?
Geometry is a discipline of mathematics concerned with the study of the sizes, forms, locations, angles, and dimensions of objects.
The area of mathematics that studies the characteristics, measurement, and spatial relationships of points, lines, planes, and figures.
From the geometry, the angles 19 and 22 are consecutive converse exterior angles when line 'a' and 'b' is cut through a transversal 'e'. And their sum is 180°. So, lines 'a' and 'b, are parallel.
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a function has an initial value of 5 and a rate of change of 6 PLEASE HELP MEEEEE
solve this question 1
need to find the value of xp
Answer:
x = 10
Step-by-step explanation:
it is given that: Line m || line n and line t is their transversal.(6x + 10)° is the vertical angle of the interior angle formed by the top line (perhaps line m) and it's transversal.Thus, by interior angles on the same side of the transversal, we have:-> (6x + 10)° + (10x + 10)° = 180° -> (16x + 20)° = 180°-> 16x + 20 = 180-> 16x = 180 - 20-> 16x = 160x = 160/16x = 10If P(A)=0.9, P(B)=0.1, and A and B are independent, find P(A and B).
According to the given statement;
If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
What is probability of event?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.
According to the given value;
P(A) = 0.9
P(B) = 0.1
A and B independent;
We know that independent
P(A∩B) = P(A) · P(B)
= (0.9)*(0.1)
=0.09
P(A∩B) =0.09
hence, If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
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-4.25.(3/10 plus 1/5)
Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal
Step-by-step explanation:
pls mark brainlist
Answer:
5/10 or 1/2 or .5 for fractions multiplied by =-2.
Find the equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7. Write your answer in the form y=mx+b.
The equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7 is y = -(1/25)*x - 21/25
How to find the equation of the line?
We want to find a line perpendicular to y = 25x + 7, then the slope of our line must be the inverse of the opposite of 25, this is:
a = -(1/25)
Then our line is something like:
y = -(1/25)*x + b
And we want this to pass through (-4, -1), then:
-1 =-(1/25)*-4 + b
-1 = 4/25 + b
-1 + 4/25 = b
-25/25 + 4/25 = b
-21/25 = b
We conclude that the linear equation is:
y = -(1/25)*x - 21/25
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Evaluate each expression when x = 2.
Number 31 i will give brainliest
Between which two perfect cubes does the cube root 141 lie
125 and 216 are two perfect cubes
Eleven subtracted from eleven times a number is -66. What is the number?
If eleven subtracted from eleven times a number is -66, the unknown number is -5
What is the numerical value of number?Given the data in the question;
Eleven subtracted from eleven times a number is -66. What is the number?First we translate the statement into an algebraic expression and solve for the unknown number.
Let x represent the unknown number.
Translation
Eleven times a number ⇒ 11 × x = 11xEleven subtracted from ⇒ -11Is -66 ⇒ = -16Now, we combine.
11x - 11 = - 66
Solve for x
Add 11 to both sides
11x - 11 + 11 = - 66 + 11
11x = -55
x = -55/11
x = -5
Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5
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3. How many ways can 10 students line up for lunch?
The 10 students can be lined up for lunch in 3628800 ways.
What is factorial of a number?Factorial of a number n is defined as the product of that number with every number less than or equal to the given number till 1.
The formula is given by:
n! = n(n-1)(n-2)(n-3(n-4)(n-5)(n-6)....3.2.1
We have,
n! = n(n-1)(n-2)(n-3)(n-4)(n-5)......3.2.1
We have to arrange for 10 students so n = 10.
Now,
10! = 10.9.8.7.6.5.4.3.2.1
Multiply each number.
10! = 3628800 ways
Therefore the 10 students can be lined up for lunch in 3628800 ways.
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Please I need to know
Answer:
46
Step-by-step explanation:
point x is located at (4.8, 0.8) and divides line segment AB in ratio 2:3 select two possible sets of endpoints for segment AB
The possible endpoints are: (i) A(x, y) = (6, - 2) and B(x, y) = (3, 5), (ii) A(x, y) = (4, 4) and B(x, y) = (6, - 4).
What are the possible locations of the endpoints of a line segment?
In this problem we know the location of the midpoint and the line segment ratio. There are two posibilities according to the definition of line segment ratio:
AX / BX = 2 / 3 (1)
BX / AX = 2 / 3 (2)
And now we solve for each case:
Case 1
X(x, y) = A(x, y) + (2 / 5) · [B(x, y) - A(x, y)]
X(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
(4.8, 0.8) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
(4.8, 0.8) = 0.6 · A(x, y) + 0.4 · B(x, y)
(4.8, 0.8) - 0.6 · A(x, y) = 0.4 · B(x, y)
(12, 2) - 1.5 · A(x, y) = B(x, y)
B(x, y) = (12, 2) - 1.5 · A(x, y)
Now we proceed to check each choice:
A(x, y) = (6, - 2)
B(x, y) = (12, 2) - 1.5 · (6, - 2)
B(x, y) = (3, 5) TRUE
A(x, y) = (6, 2)
B(x, y) = (12, 2) - 1.5 · (6, 2)
B(x, y) = (3, - 1) FALSE
A(x, y) = (8, 1)
B(x, y) = (12, 2) - 1.5 · (8, 1)
B(x, y) = (0, 0.5) FALSE
A(x, y) = (2.4, 0.4)
B(x, y) = (12, 2) - 1.5 · (2.4, 0.4)
B(x, y) = (8.4, 1.4) FALSE
A(x, y) = (4, 4)
B(x, y) = (12, 2) - 1.5 · (4, 4)
B(x, y) = (6, - 4) TRUE
A(x, y) = (1.8, - 1.2)
B(x, y) = (12, 2) - 1.5 · (1.8, - 1.2)
B(x, y) = (9.3, 3.8) FALSE
Case 2
X(x, y) = B(x, y) + (2 / 5) · [A(x, y) - B(x, y)]
X(x, y) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)
(4.8, 0.8) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)
(4.8, 0.8) = 0.4 · A(x, y) + 0.6 · B(x, y)
(4.8, 0.8) - 0.4 · A(x, y) = 0.6 · B(x, y)
(12, 2) - 0.667 · A(x, y) = B(x, y)
B(x, y) = (12, 2) - 0.667 · A(x, y)
Now we proceed to check each choice:
A(x, y) = (6, - 2)
B(x, y) = (12, 2) - 0.667 · (6, - 2)
B(x, y) = (8, 3.334) FALSE
A(x, y) = (6, 2)
B(x, y) = (12, 2) - 0.667 · (6, 2)
B(x, y) = (8, 0.667) FALSE
A(x, y) = (8, 1)
B(x, y) = (12, 2) - 0.667 · (8, 1)
B(x, y) = (6.664, 1.333) FALSE
A(x, y) = (2.4, 0.4)
B(x, y) = (12, 2) - 0.667 · (2.4, 0.4)
B(x, y) = (10.399, 1.733) FALSE
A(x, y) = (4, 4)
B(x, y) = (12, 2) - 0.667 · (4, 4)
B(x, y) = (9.332, - 0.668) FALSE
A(x, y) = (1.8, - 1.2)
B(x, y) = (12, 2) - 0.667 · (1.8, - 1.2)
B(x, y) = (10.8, 2.8) FALSE
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Which expression is equivalent to 24 *1/3 ?
12432
O 2√3
O 2/3
O 2√6
O 2/6
Tina's refrigerator unexpectedly failed and she had to purchase a replacement for $1,100. Unfortunately, this came at the same time
that she had to pay her real estate taxes. She decided to use the store's credit offer of a 1.2% monthly periodic rate if the balance is not
paid by the second month. If she pays $500 by the second month and plans to pay the balance due at the end of the fourth month, how
much will she have to pay then?
$619.87.
$607.20.
$614.49.
$641.69.
Answer: if my math is correct i think its b
Step-by-step explanation:
The correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that Tina needs to purchase a refrigerator as replacement for $1100.
The monthly periodic rate if balance is not paid by the second month = 1.2 %
The amount she paid by the second month = $500
The due amount is :
= 1100 - 500
= $600
This amount she decided to pay by end of fourth month or after two more months.
Let's assume the amount she had to pay now at the end of fourth month is x then it given by :
= 600 + ( 600 × [tex]\frac{1.2}{100}[/tex] × 2)
= 600 + ( 12 × 1.2 )
= 600 + 14.4
= $ 614.4
Therefore , the correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.
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Simplify 5x - 4x
Show your work
cesit
English (US)
3. The maximum speed of a sloth
on the ground is 15 feet per
minute. Although it is unlikely that
a sloth will keep moving for more
than a few minutes, how far would
a sloth travel in 45 minutes at that
speed?
da
Answer:
675ft
Step-by-step explanation:
15*45=675
the sum of 3 consecutive even integers is 36. find the integers
Answer:
12, 12, and 12
Step-by-step explanation:
12 is an even integer, and 12 + 12 + 12 = 36, so it would be logical for 12 to be the unknown integer.
POSSIBLE OR INPOSSIBLE?
A multiple of 7 between 80 and 90.
help me on this easy problem for 15 points
Answer:
11000
Step-by-step explanation:
I=(PxRxT)/100
I=(10000x20x1)/100x2
I=200000/200
I=1000
TA=10000 + 1000
Total Interest = 11000
The surface are of three demensional shape
The surface area of the given cuboid is 48ft².
What is a cuboid?A cuboid is a hexahedron, or six-faced solid, in geometry. It has quadrilateral faces. Cuboid means "like a cube," in the sense that a cuboid can be transformed into a cube by adjusting the length of the edges of the angles between edges and faces.The formula for the Surface area of a cuboid: 2(lw + wh +lh)
Now, substitute values in the formula as follows:
2(lw + wh +lh)2[(5×2) + (2×2) + (5×2)]2(10 + 4 + 10)2(24)48ft²Therefore, the surface area of the given cuboid is 48ft².
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HELP!!!! Finding the initial amount and rate of change given a table for a linear function
The initial amount and rate of change given a table for a linear function are $65 and $86, respectively
How to find the initial amount and rate of change given a table for a linear function?The table of linear function represents the given parameter
On the table, we have the following points
(x, y) = (6, 476) and (10, 736)
The rate of change is calculated as
Rate = (y2 - y1)/(x2 - x1)
So, we have
Rate = (736 - 476)/(10 - 6)
Evaluate
Rate = 65
This means that the rate of change is $65
The initial amount is calculated as
y = m(x - x1) + y1
Where
m = 65
So, we have
y = 65(x - x1) + y1
Using one of the points, we have
y = 65(x - 6) + 476
Set x = 0
So, we have
y = 65(0 - 6) + 476
Evaluate
y = 86
Hence, the initial amount and rate of change given a table for a linear function are $65 and $86, respectively
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