The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is growing linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months? Round your answer to the nearest cent.
The balance owed on the credit card if the growth is exponential according to the equation is; $57,528.
What is the balance owed on the credit card if the growth was exponential as opposed to linear?It follows from the task content that the initial amount owed was; $800.
On this simple note, since the equation given in the task content for the exponential growth from above is;
f(x)=800(1+0.13)^x
So therefore, when x = 34.9 months; we then have;
f(x)=800(1+0.13)^34.9
f(x) = 800(1.13)^34.9
f(x) = 800 × 71.19
f(x) = $57,528
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Find the area of the shaded region. Help please!
Answer:
Around 73cm
Step-by-step explanation:
314.16 is the area of the whole circle
shaded is 85/365 (around 23 percent)
Please answer the question in the picture, I will mark brainliest
Answer:
This is missing an explanation
Step-by-step explanation:
In this paragraph, there is no explanation as to why the reader should brush their teeth. The quote starts off by saying "You can brush and floss your teeth", yet only goes on to explain the reasons as to why flossing reduces your chances of getting cavities, and never touches on anything more about brushing. Therefore, the answer you are looking for is the last one, "This is missing an explanation".
Find y, I just need the answer so no need to show work
Answer:
x = 23
y = 139
Step-by-step explanation:
3x + 2x-5 + 70 = 180
5x = 115
x = 115/5
x = 23
y = 180 - (2x-5)
y = 180 - 41
y = 139
MAYA WALKED 34 1/2 MILES . KALEB WALKED 24 1/2 MILES. HOW MANY MILES WS WALKED IN TOTAL
Answer:
Two halves make a whole
34 + 24 + (1/2 + 1/2)
34 + 24 + 1
Convert the following quantities to the indicated units.
24 grams per cubic centimeter to how many pounds per cubic inch?
24 grams per cubic centimeters equals 0.867 pounds per cubic inches
How to convert the quantities to the indicated units?The quantity (x) is given as:
x = 24 grams per cubic centimeters
1 gram equals 0.00220462 pounds
So, we have:
x = 24 * 0.00220462 pounds per cubic centimeters
Evaluate
x = 0.05291088 pounds per cubic centimeters
1 cubic centimeters equals 0.0610237 cubic inches
So, we have
x = 0.05291088 pounds per 0.0610237 cubic inches
Rewrite as
x = 0.05291088/0.0610237 pounds per cubic inches
Evaluate
x =0.867 pounds per cubic inches
Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches
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Identify whether the graph displays a linear or nonlinear function. Explain why. Graph B On a coordinate plane, Graph B curves up into quadrant 1. Graph B displays a
The attached graph displays a linear function
How to identify whether the graph displays a linear or nonlinear function?The graph that completes the question is added as an attachment
On the line of the graph, we have the following equation
y = 2x - 3
The above equation takes the form of a linear equation (i.e. y = mx + c)
This means that the graph displays a linear function
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Graph B displays a
✔ nonlinear function; the rate of change is not constant.
Step-by-step explanation:
Find the area of the shaded region 10cm and 85 degrees. Help please!
The area of the shaded region is equal to 425π / 18 square centimeters.
How to determine the area of a circular sectionThe picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:
A = (α / 360) · π · r²
Where:
α - Measure of the central angle, in degrees.r - Radius of the circular section, in centimeters.If we know that α = 85° and r = 10 cm, then the area of the shaded region is:
A = (85 / 360) · π · 10²
A = 425π / 18 cm²
The area of the shaded region is equal to 425π / 18 square centimeters.
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PLEASE HELP Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work
Answer:
AB=11.4
CD=24.4
Step-by-step explanation:
Since AD=11x+10.6, then AB+BC+CD = AD.
Hence,
2x+3+21+7x-5=11x+10.6
Combine like terms:
9x+19 = 11x+10.6
Subtract 9x on both sides:
19 = 2x+10.6
Subtract 10.6 on both sides:
2x=8.4
Divide by 2 on both sides:
x=4.2
Since AB=2x+3, AB=11.4
Since CD=7x-5, CD=24.4
(1.28 x 10^5) + (1.13 x 10^3) in scientific notation
Answer:
10 ( 12913 ) or 12913 * 10^1
Step-by-step explanation:
(1.28 x 10^5) + (1.13 x 10^3)
--------------------------------------------
1.28 = 128/100 = 128/10^2
1.13 = 113/100 = 113/10^2
-------------------------------------------
(128/10^2 * 10^5) + (113/10^2 * 10^3) <---- 10^5/10^2 = 10^3
(128 * 10^3) + (113 * 10^1)
10^1 ( 128 * 10^2 + 113)
10^1 ( 12800 + 113)
10 ( 12913 )
9.
5x + 2y = 7
4x + y = 8
Answer:
Point Form: (3,-4)
Equation Form: x=3 , y=-4
Step-by-step explanation:
This solution deals with linear equations with two unknowns.
3.1.1 How can you tell the difference between the debits and the credits in this bank statement?
3.1.2 List any two fixed debits and any two flexible debits for the month
3.1.3 Look at the balance column to work out the value of A, the opening balance before her salary was paid in
3.1.1
Answer:
Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.
Double-Entry Accounting
When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.
3.1.2
Fixed Debit or Fixed debt:
A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.
Types of fixed debts:
Automobile loansLoans on Recreation Vehicles, Boats, Motorcycles, etc.Furniture loans (if set payment, not on a credit card)Appliance loansDebt Consolidation loansStudent LoansFlexible Debit Card :
The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.
One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.
Any type of debit card is a flexible debit card
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David wants to pack 574 cereal bars into bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number of bags of 10. How many bags of 10 and 8 can David pack all the cereal bars into?
574 cereal bars will be placed in bags of 10 and bags of 8 by David. The number of bags of 8 is 33 and number of bags of 10 is 31.
Given that,
574 cereal bars will be placed in bags of 10 and bags of 8 by David. Two more bags of eight than bags of ten make up the total.
We have to find how many 10 and 8-bag sets of cereal bars can David fit.
Let us take,
x be number of bags of 8 and y be number of bags of 10.
So, we can write as
8x+10y=574→equation(1)
x=y+2→equation(2)
Taking the x value form equation(2) and putting in equation (1).
We get,
8(y+2)+10y=574
8y+16+10y=574
18y+16=574
18y=574-16
18y=558
y=558/18
y=31
We got y=31 substitute y value in equation(2).
x=31+2
x=33
Therefore, the number of bags of 8 is 33 and number of bags of 10 is 31.
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The endpoint of a ray is located on a line. This figure shows the angles formed by the ray and the line.
(x-15)
Which equation can be used to determine the value of x?
O x-15=66
Ox+66= 180
O x-51-66
66°
Ox+51-180
The correct option is (D) x+51=180
The equation which can be used to determine the value of x is , x+51=180
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.
Some common terms related to angle :
Endpoint : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.In the given question:
as (x-15) and 66 are supplementary angles therefore their sum is 180
i.e. (x-15) + 66 = 180
now solve the equation further,
=> x + 51 = 180
Thus, the correct option is the last option.
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Dinesh has a goal of keeping his administrative tasks below 10% of his weekly hours. In which week(s) did he meet this goal? Be sure to show your work, list the percentages in the chart below, and answer the question. Administrative Hrs Total Hours
Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
How are the percentages determined?The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.
Percentages are ratios or portions of a variable in the whole number.
Data and Calculations:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 40 hours 10.625% No
Week 2 2.57 40 hours 6.425% Yes
Week 3 3.83 40 hours 9.575% Yes
Week 4 3.40 40 hours 8.500% Yes
Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
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Question Completion:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 10 hours
Week 2 2.57 8 hours
Week 3 3.83 8 hours
Week 4 3.40 8 hours
10. Over the summer, Maria read 2 books per week, and Janet read 4 books per week. Prior to the summer, Maria had read 28 books, and Janet had read 16 books. After w weeks, they had each read the same number of books. Write an equation to represent this situation. Then, solve the equation. Need a equation and solution.
6 WEEKS
2x + 28 = 4x + 16
x = 6
In its second year of operation, a local internet provider's profits were $171,500. If this amount was 666% of the company's first-year profits, find the first-years profits
The first year profit of the local internet provider was $ 22,389.04.
What was the profit of a company in its second year of operation?
According to the statement, we find that the profit of the company in its second year of operation is 666 % greater than its profit in its previous year, that is, the profit in its second year of operation is 7.66 times the profit in its first year of operation. Then, the missing profit is found by using the following arithmetic expression:
x = 171,500 / 7.66
x = 22,389.04
The first year profit of the local internet provider was $ 22,389.04.
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There are 245 computers in the computer lab. The class is split into groups. How many groups will there need to be to ensure that everyone is in a group?
What is the answer?
Answer:
245
Step-by-step explanation:
it almost nneed 245 character
the product of −16 and the difference of u and v.
I don't know if u want this but ya :)
Solution:
Let f(x) = (x+3)^(1/3).
First, we have
lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)
So f(x) is continuous at a = -3.
Next we have
lim_(h → 0) [f(-3+h) - f(-3)] / h
= lim_(h → 0) h^(1/3) / h
= lim_(h → 0) 1 / h^(2/3)
= infty
Since the limit does not exist, f(x) is not differentiable at a = -3.
Answer: D
6. What will be the speed of the train if it takes 10 hours to cover the 7. A bus travels at a speed of 40 km/h for 25 minutes and then at a speed of 60 km/h for next 25 minutes. Find out the total distance covered by the bus.
the total distance covered by the bus is 41.67 km in 50 minutes.
For first 25 minutes:
Speed of the bus = 40 km / hr.
Time = 25 minutes
Distance = Speed × Time
Distance = 40 km / hr. × 25 / 60 hr.
Distance = 16.67 km
For the next 25 minutes:
Speed of the bus = 60 km / hr.
Time = 25 minutes
Distance = Speed × Time
Distance = 60 km / hr. × 25 / 60 hr.
Distance = 25 km
Total distance covered = 16.67 km + 25 km
Total distance covered = 41.67 km.
Therefore, we get that, the total distance covered by the bus is 41.67 km in 50 minutes.
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find derivative from first principle:
x² tanx
Answer:
f'(x) = 2.x.tan(x) + x²/cos²(x)
Step-by-step explanation:
f(x) = x².tan(x)
=> f'(x) = (x²)' . tan(x) + x². (tan(x))'
= 2x.tan(x) + x² . 1/cos²(x)
=> f'(x) = 2.x.tan(x) + x²/cos²(x)
Please guys help me please with this question please please please please
Answer:
x = 18
Step-by-step explanation:
Given:
160 total learners34 play soccer and rugby40 play soccer and hockey42 play hockey and rugby36 play soccer only72 play hockey8 play rugby only28 play none of these sportsx play all three sportsAs "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).
x play all three sports: Label the area that's in S, R and H with x.
8 play rugby only: Label the area that is R only with 8.
36 play soccer only: Label the area that is S only with 36.
28 play none of these sports: Place 28 outside the three circles.
34 play soccer and rugby: Place "34 - x" in the area that's in S and R.
40 play soccer and hockey: Place "40 - x" in the area that's in S and H.
42 play hockey and rugby: Place "42 - x" in the area that's in H and R.
72 play hockey
72 is the total for all the sections of H.
⇒ H = 72 - x - (40 - x) - (42 - x)
⇒ H = 72 - x - 40 + x - 42 + x
⇒ H = x - 10
Place "x - 10" in the area that is H only.
The total number of learners is 160.
Therefore, to find x, sum the areas of the Venn diagram and equal to 160:
⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160
⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160
⇒ 178 - x = 160
⇒ x = 178 - 160
⇒ x = 18
Finally, substitute x = 18 into the Venn diagram.
In A PQR, QT is
an altitude...QT=
(1) 10
(3) 4
(2) 8
(4) 6
Answer:
20 psectacles and scranbled
I know the answer is 4. But I do t understand how the answer arrived.
The right answer for the value of x is 4
Let us consider the small triangle to be ABC and the larger triangle to be ADE
where angle A is the common angle of both the triangle
By triangle proportionality theorem,
If a line parallel to one side of a triangle intersects the other two sides, the two sides are proportionally divided.
Thus line BC is parallel to DE and hence divides AB and AD as well as
AC and AE proportionally
Thus Triangle ABC is Similar to triangle ADE by SAS
Thus,
AB/BD=BC/DE=AC/CE
Thus, using AB/BD=AC/CE
it is given that AB=10,BC=7x-3,AC=8,CE=28-8=20
AB/BD=AC/AE
10/7x-3=8/20
10x20/8=7x-3
25+3=7x
x=4
Therefore, the correct value of the given X is 4
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The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.
417
t
+
5850
Use this expression to predict what the total average credit card debt was or will be in the year 2014.
Answer: In the year 2014, the total average credit card debt for a U.S. household will be (or was)
dollars.
In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to predict the total average credit card debt in 2014?In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:
Number of years, t = 2014 - 1995
Number of years, t = 19 years.
Substituting the years into the expression, we have;
Total average credit card debt = 417t + 5850
Total average credit card debt = 417(19) + 5850
Total average credit card debt = 7,923 + 5850
Total average credit card debt = $13,773.
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A cheetah can run 70 miles per hour. What is this speed in feet per hour?
the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.
Speed of the Cheetah = 70 miles / hour
1 mile = 5280 feet
Now, we will convert 70 miles into feet.
For this, we will use the operation of multiplication.
We will multiply 5280 to 70 to convert the miles into feet.
So, the speed of the Cheetah will become:
Speed of the Cheetah = 5280 × 70 / hour.
Speed of the Cheetah = 369600 feet / hour.
Therefore, we get that, the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.
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A café that has an area of 350 square feet is being expanded to occupy an adjacent space that has an area of 150 square feet. Identify the diagram of the remodeled café in a coordinate plane
Answer:
The answer is the bottom right diagram.
Step-by-step explanation:
PLEASE HELPb) Darragh is inflating a balloon in the shape of a sphere. When fully inflated, the balloon has a radius of 15 cm. (i) Find the volume of Darragh's balloon when it is fully inflated. Give your answer in cm³, in terms of it.
solutions pls
We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]
A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is
V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere
In the question it is given that radius of the sphere when fully inflated is 15cm
V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]
Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].
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Tablet pc comparison provides a wide variety of information about tablet computers. The company’s website enables consumers to easily compare different tablets using factors such as cost, type of operating systems, display size, battery life, and cpu manufacturer. A sample of 10 tablet computers is shown.
A) There are a total of 8 elements in the data set. The elements can be determined simply by counting the total number of tablets in the data set.
B) There are a total of five variables in the data set. These are as follows-
1. Cost
2. Operating System
3. Display Size (inches)
4. Battery Life (hours)
5. CPU Manufacturer
C) Categorical Variables are generally the one that are descriptive in nature.
Here, the categorical variables are-
1. Operating System
2. CPU Manufacturer
Quantitative Variables are the numerical variables which are usually expressed in numbers, count or percentage.
Here, the quantitative variables are-
1. Cost
2. Display Size (Inches)
3. Battery Life (hours)
D) The nominal scale is used to assign the items which are divided into categories without having a specific order. The ratio scale has the property of identity and magnitude.
The type of scale is-
Cost ($) - Ratio Scale
Operating system - Nominal Scale
Display size (inches) - Ratio
Scale Battery life (hours) - Ratio Scale
CPU Manufacture - Nominal Scale
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Combine like terms to simplify the expression:
12x-3(3x-5)+24
Answer:
3(x+13)
Step-by-step explanation:
use the distributive property to multiply -3 by
3x -5
12x -9x + 15 + 24
then
combine 12x and -9x to get 3
add 15 + 24 to get 39