The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
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Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.
Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
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the product of two and a number, divided by five
Answer:
10
Step-by-step explanation:
2×5=10.
10÷2=5
That should be the answer.
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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question is in picture i forgot how to do this and my sister is working on it rn anyone help?
Answer:
it's A.
Step-by-step explanation:
so basically an open circle means < or >
a closed circle (the filled in one) means greater/least than or equal to
the sign > with an equal sign under it
hope this helps I forgot too for a minute lol
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.
A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.
Answer:
x^2 - 2
Step-by-step explanation:
The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been
x^2 - 2
(3x²+2)-(2x²+4)
write in a different form, remove parentheses
3x²+2-2x²-4
calculate the value of the corresponding terms
x²-2
Answer: Yes, he made a mistake.
A simplified expression would look like this x²-2 and not like this x²+^6.
Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
how many rolls of trash bags each
person must sell to make $300.
Answer:
32
Step-by-step explanation:
One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00
Answer:
C
Step-by-step explanation:
Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16
Answer: center is (9, -4)
Step-by-step explanation:
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
Rewrite as a product of two factors: 3 + 18d + 21y
Answer:
[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringlet's solve:in the following expression
everytime 3 is common
(3×1)+(3×6d)+(3×7d)
therefore if you take 3 from every expression we get
3(1+6d+7y)which is a product of two factors
50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.
Answer:
*screenshot
Step-by-step explanation:
I tried my best drawing digitally
Help me with this please!!!!
Answer:
yes
Step-by-step explanation:
it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
Yes!mathematical literacy
[tex]79 \times 85[/tex]
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
someone help me pls ♀️
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 7 anchors and 2 floats
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Need help please! I added a picture for the question need help ASAP!
Answer:
36%
Step-by-step explanation:
Tried it with 100 as a base and got to 36. Should be right :)
Answer:
He had not sold 90%
Step-by-step explanation:
make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%
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Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all
Answer:
150
2.500/6%
not 100% sure tho
Answer: 1 = 2,500 x 0.06 x 5
2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7