Answer:
$6,765.35.Step-by-step explanation:
Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula
[tex]A=A_{0}(1-r)^{t}[/tex]
Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.
Replacing all values, we have
[tex]A=20300(1-0.0875)^{12}[/tex]
[tex]A=6765.35[/tex]
Therefore, after 12 years the car will value $6,765.35.
Factor completely.
40t−16
Enter your answer in the boxes.
The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).
To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:
40t - 16 = 8(5t) - 8(2) = 8(5t - 2)
So, the completely factored form of the expression 40t - 16 is 8(5t - 2).
1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)
Answer:
(2,3)
Step-by-step explanation:
Given : [tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
To find: what point do the lines representing the two equations intersect
Solution:
[tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
Plot the lines on the graph
Green line denotes [tex]x + y = 5[/tex]
Purple line denotes [tex]y=\frac{x}{2}+2[/tex]
So, Intersection point = (2,3)
Refer the attached figure
So, option C is true
Hence Intersection point is (2,3)
<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?
I need answer ASAP!
If 8 ties cost $128, how much do 15 ties cost?
Anyone please help me please solving these maths problems not sure.Thanks.
There are 20 trees in a yard that each produced 1 gallon of syrup. If the syrup needs to be put into 3 gallon containers, how many containers are necessary to hold all of the syrup?
For this case we have that if 20 trees produce 1 gallon of syrup each, then we have 20 gallons of syrup.
We must find the number of containers for the 20 gallons, knowing that each container has a capacity of 3 gallons.
[tex]\frac {20} {3} = 6.67[/tex]
So, we need 7 containers.
Answer:
7 containers
The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 degree. How far is the sailboat from the lighthouse to the nearest foot?
Answer:
Step-by-step explanation:
Please help me out :)
What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2
Can someone help me making sure if my answers is right. Just need lil help. Thanks.
To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. How many hours will it take for them to be 260 miles apart?
A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?
Answer: 48 pounds
Step-by-step explanation:
Given: A person who weighs 240 pounds burns 180 calories per mile of running.
There is a direct relation ship between the weight of the person and the calories burn.
If a person burns thirty-six calories by running one mile.
Let x be the weight of the person then
[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]
The weight of the person is 48 pounds.
The measure of an angle is 41 degrees. What is the measure of a complementary-angle?
If the dimensions of the rectangle are doubled what is the area of the new rectangle.
double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48
A retail store marks up its OTC (over-the-counter) merchandise 50% based on acquisition cost. What's the retail price of an item that costs $2?
a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?
On first day the tank had 8000 liters of water.
Half is removed so half of 8000 is 4000.
Subtracting 8000-4000 =4000
So at the end of first day 4000 liters of water is there.
Water in the tank at the end of second day:
Again half of 4000 is removed.
half of 4000 is 2000.
subtracting 4000-2000 =2000.
At the end of second day 2000 l of water is present in tank.
At the end of third day:
Again half of 2000 is removed.
half of 2000 is 1000.
subtracting 2000-1000 =1000.
At the end of third day 1000 l of water is present in tank.
At the end of fourth day:
Again half of 1000 is removed.
half of 1000 is 500.
subtracting 1000-500 =500.
At the end of fourth day 500 l of water is present in tank.
At the end of fifth day:
Again half of 500 is removed.
half of 500 is 250.
subtracting 500-250=250.
At the end of fifth day 250 l of water is present in tank.
At the end of sixth day:
Again half of 250 is removed.
half of 250 is 125.
subtracting 250 - 125 =125.
At the end of sixth day 125 l of water is present in tank.
At the end of seventh day:
Again half of 125 is removed.
half of 125 is 62.5.
subtracting 125-62.5 =62.5.
At the end of seventh day 62.5 l of water is present in tank.
At the end of eighth day:
Again half of 62.5 is removed.
half of 62.5 is 31.25
subtracting 62.5 - 31.25 =31.25.
At the end of eighth day 31.25 l of water is present in tank.
A field has a length of 50.5 meters, and a width of 9.2 meters. What is the perimeter and the area of the field?
A flashlight has 7 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability that all of them are defective.
Enter your answer as a fraction or a decimal rounded to 3 decimal places.
The probability of getting all of them defective batteries is________?
Final answer:
The probability of selecting five defective batteries from a set of seven batteries, five of which are defective, is calculated by multiplying the individual probabilities of each selection. This results in an approximate probability of 0.048.
Explanation:
The probability of selecting all defective batteries from a group where 7 batteries are available and 5 are defective is obtained by calculating the probability of selecting a defective battery five times in a row without replacement.
The probability of the first battery being defective is 5/7, as there are 5 defective out of 7 total. If the first one is defective, there are now 4 defective batteries left out of 6. This makes the probability of the second being defective 4/6. We continue this pattern until we have:
Probability of 1st defective battery = 5/7
Probability of 2nd defective battery = 4/6
Probability of 3rd defective battery = 3/5
Probability of 4th defective battery = 2/4
Probability of 5th defective battery = 1/3
To find the overall probability of all being defective, we multiply these probabilities together:
P(all defective) = (5/7) × (4/6) × (3/5) × (2/4) × (1/3)
When we calculate this, we get:
P(all defective) = (5×4×3×2×1) / (7×6×5×4×3) = 120 / 2520 = 0.0476
Therefore, the probability is approximately 0.048 (rounded to three decimal places).
I was hoping for help on this question
how can you add a figure to a composite figure without increasing its perimeter? Draw a diagram to support your answer
if 2x+5= 12 for some value of x, then what does 6x+20 equal???
angka 9,2,4, dan5 akan disusun menjadi dua bilangan berbeda. bilangan pertama disusun dari keempat angka dengan sussunan dari angka terbesar ke angka terkecil. bilangan kedua disusun dari empat angka dengan suaunan dari angka terkecil ke angka tebesar dengan terkecil yang dihasilkan adalah
can someone help me to pose a word problem... the answer is in the picture
right below
Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint. Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal?
We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.
We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.
For Tina: [tex]\frac{7}{5}[/tex]
For Tyler: [tex]\frac{5}{7}[/tex]
In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.
For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]
For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]
Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.
Tina's favorite shade is more blue than Tyler's
HELLLLLLPPPPPPPPPP.......... i asked some friends for help and they didn't really understand it.... And my teachers are confusing me as well...
Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Part II: How does each variable expression relate to the length, width, and height of the box when folded?
please help fast!! what is the surface area??
How high is the stack of the two books? novel and 3/4 inches and dicitonary 41/2
What multiplication expression can you use to solve 627÷11?
Please help me thankssssss