Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]
[tex]y=10000\left(1-0.05\right)^2[/tex]
[tex]y=10000\left(0.95\right)^2[/tex]
On further simplification, we get
[tex]y=10000(0.95)(0.95)[/tex]
[tex]y=9025[/tex]
Therefore, the present value of the car is £9025.
44 points! Brainliest for correct answer!
Margie has 5 times as many nickels as quarters. She has a total of $2.00.
Part (a) Write a system of equations to represent the situation. Let n represent the number of nickels and q represent the number of quarters.
Part (b) Solve the system you wrote in part (a). Show your work.
Part (c) Interpret your solution in the context of the problem.
P.S. Sorry for asking so many questions, I swear this will be the last one for a while.
The only thing I really need help with is Part A, writing the equations.
Answer:
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
q = 40
n = 5(40) = 200
Step-by-step explanation:
Number of Nickels = n
Number of Quarters = q
$2.00 = $2 * 100 = 200 cent
Nickel = 5 cent
Quarter = 25 cent
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
5(5q) + 25q = 200
25q + 25q = 200
50q = 200
q = 200/5
q = 40
n = 5(40) = 200
Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?
Answer:
28.39 ftStep-by-step explanation:
The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.
The angle opposite the ladder is 25°, slide has the length of x.
sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ftWhat is the radical form of 8½
100 POINTS!!! can someone help me please?? will give brainliest if correct!!
Answer:
k= 15
Step-by-step explanation:
Answer:
k =15 and please give brainliest
Step-by-step explanation:
Tayler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it? Explain or show your reasoning.
Answer: The value of the bond when Tyler's mom purchased it = $150
Step-by-step explanation:
Let x= Purchasing price of the bond.
Given: Rate of increase in its value = 4% = 0.04
Value of bond after one year = x+ 4% of x
= x+0.04x
= 1.04x
One year after it was purchased, the value of the savings bond was $156.
[tex]\Rightarrow\ 1.04x = 156\\\\\Rightarrow\ x=\dfrac{156}{1.04}\\\\\Rightarrow\ x=150[/tex]
Hence, the value of the bond when Tyler's mom purchased it = $150
Which of the following is NOT a type of poem
A a haiku
B a sonnet
C a limerick
D a news article
Answer:
D of course
Step-by-step explanation:
Answer:
D. a news article.
Step-by-step explanation:
A haiku is a real thing, so is a sonnet and limerick so the only other option is a news article! :)
30.5 times 15.2 times x = 6176
find x
Answer:
The answer is x = 13.32182916
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Multiply 30.5 by 15.2 .
463.6 ⋅ x = 6176
Divide each term by 463.6 and simplify.
Hoped this helped!
Brainly, please?
Answer:
13.32
Step-by-step explanation:
30.5 times 15.2 is 463.6
So now the equation is 463.6x=6176
divide both sides by 463.6
x= 13.32
I don’t know how to solve this please help
Answer:
Only the first point lies on the line and thus, Anders is incorrect
Step-by-step explanation:
Here, we want to show that Anders is incorrect
we simply substitute the values of his coordinates into the equation of the line
for (10,420)
we have;
420 = 40(10) + 20
420 = 420
This is right
We now test the second given point;
-420 = 40(-10) + 20
-420 = -400 + 20
-420 is not -380
Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?
An arborist examine trees in an orchard to see if they were infected with a virus out of 450 trees 56% had the virus how many trees were infected with the virus
Answer:
252 trees
Step-by-step explanation:
450 trees total
56% are infected
450 * .56 = 252 trees
Help please!! I will report random answers
Answer:
15) m∠A = 21°, m∠B = 125°, m∠C = 34°
16) m∠J = 48°, m∠K = 57°, m∠L = 75°
Explanation:
15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.
16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.
06:20+35min=
06:23+ _ min=07:00
Answer:
27 min i think
Step-by-step explanation:
Answer: 9:35
Step-by-step explanation:
i think that's the right answer
Can someone answer this question please ASAP
Answer:
x = 2
Step-by-step explanation:
The sum of two numbers= 9, the sum of two times the larger number and the smaller one is 15. Find the two numbers.
If an orange is 14cm in diameter.if 3/7 of it is juice,what volume of juice can you get from 5 such oranges.
(Pie=22/7)
Answer:
3079.5 cm^3
Step-by-step explanation:
We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3
In the equation below, what value of bresults in an
equation with infinitely many solutions?
3(bx - 1) = -3 + 12x
Step-by-step explanation:
3bx-3 = -3+12x
3bx=-3+3+12x
3bx=12x
3bx/3=12x/3
bx=4x
bx/x=4x/x
b=4
Which of these equations of lines are in the form y =Mx+c?
Answer:
y-axis is y=mx+c
Step-by-step explanation:
the general equation of the straight line is y is equals to MX + c where m is the gradient and y is equals to c is value where the line cause the y-axis this number sea is called in correct the axis y axis the equation of the straight line with branded m and n parade see on the axis y MX + c652 students attend Tippett Middle School. 49% live less than three miles from school. About how many students is this? Round your answer to the nearest WHOLE NUMBER.
Answer: 319 students
Step-by-step explanation:
There are 652 kids and 49% of them live less than three miles from school.
In a whole number this will be:
= 49% * 652
= 49/100 * 652
= 319.48
= 319 students
What is the slope line?
3)
х
45°
11
A) 10.8
C) 11.0
B) 11.6
D) 8.8
Answer:
AAO 22.902 A 45 12.632 13,939 945 559,302 5A , 480 1.17 6.044 36,491 ... 12.1 F 13.2 12.1 F 13.2 12.1 E 13.2 12.1 F 12.9 12.5 8.6 8.3 F 10.0 9.7 8.6 B.3 E 11.6 ... 10.5 D 11.8 10.5 C 11.8 10.5 D 11.8 10.5 с 11.8 10.5 U 11.8 10.5 D 13.3 12.7 ... 10.1 12.1 11.4 8.8 A.3 13.3 12.9 13.3 12.5 13.3 12.5 13.3 12.5 11.0 10.4 13.3 ...
area of a isosceles triangle
i will make as brainliest whoever answers
Answer:
145cm is the area I believe.
HELP I NEED HELP ASAP
Answer:
A. 3n³
Step-by-step explanation:
base (b) = 3n²
height (h) = 2n
Area of triangle
= 1/2 * b * h
= 1/2 * 3n² * 2n
= 3n³
How much money do you need to invest at 2.8% compounded daily in order to have $25,500 at the end of 8 years?
Answer:
$20,382.71
Step-by-step explanation:
We have the following equation for compounding interest
[tex]FV=PV(1+\frac{i}{n})^{(n*t)}\\\\25500=x(1+\frac{.028}{365})^{365*8}\\25500=1.251x\\20382.711[/tex]
What is 180% as a decimal
Answer:
1.80 this is the correct answer
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{What is \underline{1\bf{80\% as a decimal?}}}[/tex]
[tex]\large\text{GUIDE for UNDERSTANDING percentages}\downarrow\\\\\bullet \large\text{ When you hear the word \underline{PERcent} think of its out of 100}\huge\checkmark \\\large\text{(MAINLY over 100)}\\\\\bullet\large\text{ Basic solving: Get rid of your percentage symbol (\%) and DIVIDE}\\\large\text{your given number by 100}[/tex]
[tex]\large\text{Equation: }\bold{ \180\% = \dfrac{180}{100}}\\\\\large\text{We are going to focus on the }\bold{\dfrac{180}{100}}\large\text{ because it helps us solve for your}\\\large\text{decimal (also known as your result to this question)}\\\\\bold{\dfrac{180}{100}\rightarrow 180\div 100 \rightarrow your \underline{\ answer}}\\\\\bold{= 180\div100 \rightarrow 1.8}\\\\\large\text{180\% = \bf{1.8}}\\\\\boxed{\boxed{\large\text{Therefore, your answer is: \bf{1.8}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Convert 2,000 cm to kilometers.
* fraction form *
Answer:
1/50
Step-by-step explanation:
How do you find the area of a triangle? How is it similar to finding the area of a rectangle and how is it different?
Answer: You find the area by multiplying all the sides up. It is similar because a triangle needs to be times by bxh and so does a rectangle. They're different because they are different shapes
Step-by-step explanation:
Find the area of the kite. please help
Chris has a job selling newspapers every morning. He received a base pay of $7.45 a day and also gets 15 cents for every paper he sells. One morning he made $16.45. How many papers did he sell?
Sophia sells makeup brushes for b dollars. For
her holiday sale, she marks them down by 25%.
Which expression represents the sale price?
A- 1.25
B- 1.75
C-0.25
D- None of the above
What is the correct decimal form of 16 4/5?
Answer:
16.8
Step-by-step explanation:
16 + 4/5
16+ 0.8
16.8
Answer:
84/5
Step-by-step explanation: