Answer:
5,916
[tex]24650 \times 0.04 \times 6 = 5916[/tex]
The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
Calculation of the interest:Since Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car.
So here the calculation is
= $24,650 (4%)(6 year)
= $5,916
Hence, The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
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What is 2(12) 3/2 in its simplest form?
Answer:
1 1/2
Step-by-step explanation: it is 1 1/2 because 3/2 is improper there is one left over and a half therefore 1 1/2 is the answer not 11/2 just to be clear
The value of the mixed expression 2 x (12) x 3/2 will be 36.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 2 x (12) x 3/2. the value of the expression will be calculated as below:-
E = 2 x (12) x 3/2.
E = 12 x 3
E = 36
Therefore, the value of the mixed expression 2 x (12) x 3/2 will be 36.
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Look at the pic in the corner it’s math
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
Enter your answer in the box.
Answer: 69
Step-by-step explanation:
360
Answer:
528
Step-by-step explanation:
Harper just drank a cup of coffee to help her stay awake. The coffee had 140 milligrams of caffeine in it. If her body processes 5% of the caffeine every hour, how much will be left in 8 hours?
Answer:
84 milligrams of caffeine
Step-by-step explanation:
5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84
I need help with this please, I’m not sure if I should use the a^2+b^2=c^2
Answer:
yes, use the Pythagorean theorem
Step-by-step explanation:
it would be 6^2+15^2=c^2
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
Find the greatest common factor of 16m^3 and 20a^4.
Answer:
4
Step-by-step explanation:
16 m^3 =4*4 * m^3
20 a^4 = 4*5*a^4
The greatest common factor is 4
Answer:
4
Step-by-step explanation:
16m³: 2⁴ × m³
20a⁴: 2² × 5 × a⁴
GCF: 2² = 4
If 50% of an item is 22.00 what is the original price ?
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Lee sells electronics. He earns a 5% commission on each sale he makes. A. 5 points
Determine the constant of proportionality and write it as a decimal. B. If
Lee wants to make $100 on commission, what is the dollar amount of
electronics he must sell?
WE
Send me a copy of my response.
Submit
Let c represent amount of commission and s represent amount of sales.
We have been given that Lee sells electronics. He earns a 5% commission on each sale he makes.
A. We are asked to find the constant of proportionality.
First of all, we will write our given equation as direct proportion. We know that two proportional quantities are in form [tex]y=kx[/tex], where y is directly proportional to x and k represents constant of proportionality.
We can represent our given information in an equation as:
[tex]c=\frac{5}{100}s[/tex]
[tex]c=0.05s[/tex]
Therefore, constant of proportionality is [tex]0.05[/tex].
B. To find amount of electronics sold by Lee, we will substitute [tex]c=100[/tex] in our equation an solve for s as:
[tex]100=0.05s[/tex]
[tex]\frac{100}{0.05}=\frac{0.05s}{0.05}[/tex]
[tex]2000=s[/tex]
Therefore, Lee must sell $2000 of electronics to make $100 commission.
Any help someone....
(solve triangles using the law of sines)
Answer:
[tex]B=51[/tex]°
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinC}{c} =\frac{sinB}{b}[/tex]
Insert the appropriate values:
[tex]\frac{sin100}{14} =\frac{sinB}{11}[/tex]
Isolate B. Multiply both sides by 11:
[tex]11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}[/tex]
Use the inverse:
[tex]B=sin^{-1}(\frac{11*sin100}{14})[/tex]
Insert the equation into a calculator and round to the nearest degree:
[tex]B=50.7\\\\B=51[/tex]
Angle B is 51°.
:Done
A pair of jeans is on sale for 25% off the original price of $75. What is the
new price?
Answer:
$56.25 is the new price
Step-by-step explanation:
75 - 18.75 = 56.25 dollars
Answer:
56.25
Step-by-step explanation:
75*.25=18.75
75-18.75=56.25
1 foot = 12 inches. 1 inch = 2.5 centimetres. Change 5 feet 10 inches to centimetres
I guess the answer should be 177.8 cm.
The measurement of 5 feet 10 inches to centimeters is 175 centimeters.
What is Unit of Measurement?Units of measurement are defines ad the definite magnitude of a physical quantity. It is used to find a number that shows the amount of something.
Here we have to convert the units of measurement feet and inches to centimeters.
We have,
1 foot = 12 inches and 1 inch = 2.5 centimeters
We have to change 5 feet 10 inches to centimeters.
1 foot = 12 inches
⇒ 5 feet = 12 × 5 inches
= 60 inches
So, 5 feet 10 inches = 60 inches + 10 inches
= 70 inches
1 inch = 2.5 centimeters
70 inches = 70 × 2.5 centimeters
= 175 centimeters
Hence we got 5 feet 10 inches as 175 centimeters.
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Help asap pleaseee!
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
200 ft per hour
105 ft per hour
300 ft per hour
75 ft per hour
Answer:
75
Step-by-step explanation:
700-400=300
6-2=4
300/4=75
Answer:
75 ft per hour.
Step-by-step explanation:
because
To the nearest cubic inch, what is the volume of the
right triangular prism?
Answer:
The Volume of right triangular prism is 240 cubic inches
Step-by-step explanation:
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
In triangle ABC
AC = Hypotenuse = 13 in.
AB = Height
BC = Base = 12 in.
Using Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+base^2\\13^2=Perpendicular^2+12^2\\\sqrt{13^2-12^2}=Perpendicular[/tex]
5=Perpendicular
Area of base = [tex]\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 12 \times 5 = 30 in^2[/tex]
Height of prism = 8 in
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
Volume of right triangular prism =[tex]30 \times 8 = 240 in^3[/tex]
Hence The Volume of right triangular prism is 240 cubic inches
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
HELP ASAP 100 POINTS!!!!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer: After 30 days, you would have $30,000
Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).
In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.
The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.
Having taken day one as a, and each successive 1000 as d, observe the following trend;
Day 1 = a
Day 2 = a + d
Day 3 = a + (3 - 1)d which gives you a + 2d
Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;
Day ₙ = a + (n - 1)d
Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows
Day 30 = 1000 + (30 - 1) 1000
Day 30 = 1000 + (29 x 1000)
Day 30 = 1000 + 29000
Day 30 = 30000
Answer:
You would get 1000 everyday because you would get the previous day, you would have 30,000
Step-by-step explanation:
1. Which money market account will earn the most interest?
(33 puntos)
$500 principal at 0.5% monthly for 10 years.
$200 principal at 1% monthly for 20 years.
$1,000 principal at 3% monthly for 2 years.
$100 principal at 8% monthly for 1 years.
6% of it is 27
I need help. Someone please give me a explanation of how to do this.
Answer:
You take 6% of a number and the resulting number is 27.
To do this you need to change the percent into a fraction.
6% = 6/100
This is the number you need to multiply to the number you need to find, A.
6/100 A = 27
Solve for x
6 A = 27x100
A= 2700/6
A = 450
Check your answer:
6/100 (A) = 27
6/100 (450) = 27
(6x450) /100 = 27
2700 / 100 = 27
27 = 27
Step-by-step explanation:
Given the equation, (x - h)2 + (y - k)2 =r2, what are the coordinates of the center?
The coordinates of the center are ( , )
Answer:
(h, k).
Step-by-step explanation:
This is the standard form of the equation of a circle
The coordinates of the center are (h, k)
The radius is r.
The coordinates of the center are (h, k).
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The equation is,
⇒ (x - h)² + (y - k)² = r²
Now, We know that;
The standard form of the equation of circle is,
⇒ (x - h)² + (y - k)² = r²
Where, (h, k) is coordinates of the center and r is the radius of the circle.
Hence, By comparing, we get;
The coordinates of the center are (h, k).
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SDRTYUK243567Iaqwertyh.
Answer
B, i think
Step-by-step explanation:
PLEASE HELP! The density of atmosphere (measured in kilograms/meter) on a certain planet is found to decrease as altitude increases (as measured from
the planet's surface). What type of relationship exists between the altitude and the atmospheric density, and what would the atmospheric
density be at an altitude of 1.291 kilometers?
Answer:
The relationship that exist between the altitude and the atmospheric density is an inverse relationship.
[tex]D = \frac{k}{1291} kg/m^3[/tex]
Step-by-step explanation:
since the density of the atmosphere decreases as the altitude increases, the relationship that exist between the altitude and the atmospheric density is an inverse relationship. This can be represented by:
[tex]D = \frac{k}{H}[/tex], where k is the constant, H is the altitude in meters and D is the atmospheric density in kg/m.³
When the altitude is 1.291 km, i.e H = 1.291 km = 1291 m,the atmospheric density D is:
[tex]D = \frac{k}{1291} kg/m^3[/tex]
What is the volume of this rectangular prism?
4 cm
[tex] \frac{5}{2} cm[/tex]
[tex] \frac{1}{2} cm[/tex]
need answer asap
Answer:
D on Edg
Step-by-step explanation:
Answer: V = 5cm³
Step-by-step explanation: We have to follow the formula to get the volume of this rectangular prism, Volume = Length * Height * Width.
First, let's turn the fractions into deciamls:
4 cm
2.5 cm
0.5 cm
The length is 4 cm, the width is 0.5 cm, and the height is 2.5 cm.
4 x 2.5 x 0.5 = 5
5cm³
I hope this helps!
Write a problem that could be modeled with y = 200(0.9)^x
Answer:
Step-by-step explanation:
A new TV sells for $200. Every year, the TV loses 10% of the initial value.
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answer:
B
Step-by-step explanation:
Select the correct answer.
Which statement describes the situation shown in the graph?
Answer:
there is no photo??where are the graphs??
If cos omega =
3
5
find tan omega
Answer:
mmm 30
Step-by-step explanation:
Change these times to the 12-hour clock.
07:10
17:30
Answer:
7:10 am
5:30 pm
Rewrite using only positive exponents.
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
