Therefore, k = 49.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
To learn more about future value, please check: https://brainly.com/question/18760477
Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.
Answer:
12
Step-by-step explanation:
A regular hexagon has 6 equal sides
2 times 6 = 12
Answer:
10.4m²
Step-by-step explanation:
A≈10.39m²
A=33
2a2=3·3
2·22≈10.3923m²
= 10.4m²
-salary of £1410
-26% of the total profit the company makes from her sales
Answer:
I'm not sure what the question is actually asking but 26% of the profit is 366.60
Step-by-step explanation:
if u subtract the profit, u have 1043.40 remaining
A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15
HELP HELP PLEASE!!!
consider the function rule: f(x) = 9x -7
a. find f(4)
b. find f(-2)
c. show or explain how the equation 9x - 7 = 65 can be solved using an "undoing process". Report a solution to the equation.
Answer:
f(4)=29
f(-2)=-25
x=8
Step-by-step explanation:
a. to find f(4), you need to substitute x with 4...
f(4)=9(4)-7
f(4)=36-7
f(4)=29
b. This is the same for f(-2)
f(-2)=9(-2)-7
f(-2)=-18-7
f(-2)=-25
c. 9x-7=65
+7 +7 to cancel the 7 out and to isolate the x
9x=72
divide both sides by 9
x=8
So basically f(8)=65
Answer:
a. f(4) = 29
b. f(-2) = -25
c. x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Functions
Function NotationStep-by-step explanation:
Part A + B
Step 1: Define
Identify.
f(x) = 9x - 7
Step 2: Find
f(4)
Substitute in x [Function f(x)]: f(4) = 9(4) - 7[Order of Operations] Evaluate: f(4) = 29f(-2)
Substitute in x [Function f(x)]: f(-2) = 9(-2) - 7[Order of Operations] Evaluate: f(-2) = -25Part C
Step 1: Define
Identify.
9x - 7 = 65
Step 2: Solve for x
[Addition Property of Equality] Add 7 on both sides: 9x = 72[Division Property of Equality] Divide 9 on both sides: x = 8Simplify x⁷y⁹ ÷ x³y⁶
What property does this question use 3(x+6)-2=28
Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.
9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answer: 38 miles per gallon ; 342 miles.
Step-by-step explanation:
The miles/gallon that he got on the trip will be:
= 228/6
= 38 miles per gallon.
When he used 9 gallons of gas, the distance travelled will be:
= 38 × 9
= 342 miles
Answer:
Question :
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?Solution :
a) How many miles/gallon did he get on the trip?
[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]
[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]
Hence, he get 38 miles/gallon for his trip.
[tex]\rule{200}2[/tex]
b) On another trip, he used 9 gallons of gas. How far did he travel?
[tex]{\implies{\sf{38 \times 9}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]
Hence, he traveled 342 miles by using o gallon og gas.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta
Answer:
tan teta =cos teta is the answer
what the first 3 prime numbers greater than 12
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
PNC charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $35. Neela's online banking showed she had a balance of $530 when she wrote a check for $375. Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared. How much money must she deposit to raise her balance to 0 ?
The amount of money Neela needs to deposit to raise her balance to 0 is; $163
Since Neela's online banking showed she's been charged a monthly fee of $8 on checking accounts and an overdraft protection fee of $35.
Total charges = $8 + $35 = $43.Subsequently, she wrote a check of $375 in which case; Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared.
Total debit amount = $375 + $275 = $650.Total debit = $650 + $43 = $693Since the account showed she had a balance of $530.
Her new account balance is; $530 - $693 = -$163
Therefore, Neela needs to deposit $163 to raise her balance to 0.
Read more on arithmetics:
https://brainly.com/question/25500602
the side length of a square is n cm.
Answer:
(c) Alicia, Bart, and Diego's answers are equivalent
Step-by-step explanation:
The perimeter of a square is the sum of the side lengths
n + n + n + n . . . . . Alicia's answer
= (n +n) +(n +n) = 2n +2n . . . . . Diego's answer
= (2 +2)n = 4n . . . . . . Bart's answer
Alicia, Bart, and Diego's answers are equivalent.
NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.
A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
Multiply: (3x)(x4 + 5)
Answer:
12x² + 15x
Step-by-step explanation:
(3x × 4x) + ( 3x × 15)
Answer:
(3x) (X 4+5)
3x×(x×4+5)
3x×(4x+5)
12x^2+15x answer
Evaluate the figure below.
Find the value of x.
Formula for area of a rectangle: A = lw
Answer:
x=9,-7
Step-by-step explanation:
(x+3)(x-5)=48
x^2-2x-15-48=0
x^2-2x-63=0
(x-9)(x+7)=0
x=9,-7
dont use the negative number becuase it would not make sense in this scenario
width = 12
length=4
PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
Answer: (weight = w)
This is a lot to answer but. (A) (13 x 1.2) - 14 = w
w = 1.6
Step-by-step explanation:
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
can someone help me with this
Answer:
A. y = 3x.
Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!
A machine cost $60000 its. depreciation is 10% per year. what is the value of the machine after two years simple depreciation
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)
Can someone please take time out of their day and help me with this
PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answer:
35.00?
Step-by-step explanation:
Draw the graph of y= -6
Answer:
See attachment.
Step-by-step explanation:
Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.
Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
Find the equation of this line.
Someone help me with this math question?
Answer:
B and D
Step-by-step explanation: