Answer:
Each decade it grows by 10% because a whole decade is 10 years
The following equations define a system. −2x + y = 10 x + 2y = 5 Which graph represents the system? The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
The graph of the system of linear equations is attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the system of linear equations as given -
- 2x + y = 10
x + 2y = 5
The given system of linear equations is -
- 2x + y = 10
x + 2y = 5
Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.
Therefore, the graph of the system of linear equations is attached with the answer.
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3. Find f[h(a+4)], given the functions below. *
Given f(x) = 5x, g(x) = -2x + 1, and h(x) = x2 + 6x + 8, find each value.
O A 2a^2 +15a +120
O B 5a^2 +30a +240
O C 5a^2 +70a +240
O D-5a^2 +50a +360
Answer:
C 5a^2 +70a +240
Step-by-step explanation:
We have given these following functions:
[tex]f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8[/tex]
h(a+4)
This function is:
[tex]h(a+4) = (a+4)^2 + 6(a + 4) + 8[/tex]
[tex]h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8[/tex]
[tex]h(a+4) = a^2 + 14a + 48[/tex]
f[h(a+4)]
[tex]f(x) = 5x[/tex]
Thus
[tex]f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240[/tex]
The correct answer is given by option C.
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answer:
Using substitution method
x=2
y=3
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?
Answer:
D+Q = 31
10D + 25Q = 595
10D + 10Q = 310
subtract to get
15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes
4
On Monday Selma has £202.69 in her bank account.
Selma needs to pay a bill of £465.20 from the account on Wednesday.
She will pay some money into the account on Tuesday so that there is
●
enough money in the account to pay the bill
£10 left in the account after the bill has been paid.
No other payments occur.
How much money does Selma pay into the account on Tuesday?
Answer:
Answer: £272.51
Step-by-step explanation:
First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.
Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51
Graph the linear equation.
4x+6y=−12
Plot two points on the line to graph the line.
Answer: (-3,0) and (0,-2)
Step-by-step explanation:
What is the ratio of 4 red pens to 7 black pens
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation:
Use the first five terms of the exponential series of ex and a calculator to approximate the value of e0.8 to the nearest hundredth.
a.
2.24
c.
4.24
b.
2.22
d.
4.22
Answer:
.632
6 * 1/10 = 3/5
3*0.01 = 0.03
3/5 + 0.03 = .63
2*0.002 = .002
.63 + 0.002 = .632
Step-by-step explanation:
Im just guessing but i think it would be b... if i'm wrong im really sorry
Find x, y, mzC, and mA' given m/A = y;
m/A' = 2x + 5, mc-3x-y,
mZC' = 4
The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
What is the triangle translation?
In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.
Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.
Given:
m∠A = y
m∠A' = 2x + 5
m∠C = 3x-y
m∠C' = 4
Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'
Therefore,
y = 4
3x-y = 2x + 5
Solving this equation gives us:
x = y + 5 = 4 + 5 = 9
y=4
m∠C = 3x - y = 3(9) - 4 = 25
m∠A' = 2x + 5 = 2(9) + 5 = 23
Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
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A group of workers can plant 49 acres in 7 days. What is there rate in acres per day?
Answer:
Step-by-step explanation:
343
Answer:
7
Step-by-step explanation:
In the formula C = (F - 32) * 5/9, the letter "F"
Answer:
Fahrenheit.
Step-by-step explanation:
In the given formula, the variables given stand for:
C = Celsius
F = Fahrenheit
~
In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.
~
Find the product of -2, -4, -6, and , -9
Answer:
product is 432
Step-by-step explanation:
(-2)(-4)=8
(-6)(-9)=54
(8)(54)=432
a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?
Answer:
70
Step-by-step explanation:
Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.
Plz answer this i need help its done today
Answer:
1) 1/10
2) 1/2
3) 1/5
Step-by-step explanation:
1)
1 favorable outcome and 10 total outcomes.
[tex]P(3) = \frac{1}{10}[/tex]
2)
5 favorable outcomes and 10 total outcomes
[tex]P(even) = \frac{5}{10} = \frac{1}{2}[/tex]
3)
2 favorable outcomes and 10 total outcomes
[tex]P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}[/tex]
Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.
The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80
What is Depreciation?According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.
As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.
While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.
The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:
cost of capital = 12 %
Depreciation = $10000
Life of the project = 8 years
Tax rate = 21%
Present value annuity factor (PVAF) at 12% for 8 years will be:
0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404
Grand total of the (PVAF) at 12% = 4.968
Now multiply the PVAF with depreciation amount
Present Value of Depreciation = 4.968 × 10000 = $49,680
Tax benefit from depreciation = $49,680 × 21% = $10432.8
Thus the tax Tax benefit from depreciation is $10432.80
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PLEASE HELPPPPPP!!!!! WILL GIVE BRAINLIEST
Answer:
Since the leading coefficient is negative and the exponent is to a degree of 4...
The graph will be down on both ends.
The following equation is a polynomial:
5x−2−1
True
True
False
Answer:
True
Step-by-step explanation:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables. So yes this is a polynominal.
A small business celebrates serving 5110 customers in their first year of business how many customers did they average each day
The no. of customers they serve per day is equal to 14.
It is given that the total number of customers served in first year of business was 5110.
We have to find that what will be the average of servings per day ?
What do you mean by average ?
The average is the ratio of sum of all numbers to the total no. of numbers.
As per the question ;
Total number of people served in a year = 5110
We know that ;
1 year = 365 days
So ;
To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.
i.e.,
Average of customers per day ;
= 5110 ÷ 365
= 14 customers per day
Thus , the no. of customers they serve per day is equal to 14.
6 divided 109 can you help?
Answer: 18.1666666667
Step-by-step explanation:
Please help I don’t understand this.
Answer:
The 0
Step-by-step explanation:
the answer is 10bshsjwjjwjs
ANSWER ASAP WILL GIVE BRAINLIEST! 30 POINTS!!
Write the algebraic expression that matches each graph:
Answer:
y=|x-1|-1
Step-by-step explanation:
hope that helps :)
What is 22 + 125 - 6
Answer:
141
Step-by-step explanation:
calculator
Answer:
141
Step-by-step explanation:
22+125=147
147-6=141
therefore
the answer is 141
Lily loves 2.5 miles farther from school than Dante Dante lives 16.25 miles from school how many miles from school does Lily live
Answer:
18.75
Step-by-step explanation:
Just add 2.5 and 16.25 :)
Answer:
Lily must live 18.75 miles away
Step-by-step explanation:
If Lily lives 2.5 miles further from school than Dante then the equation is
16.25+2.5 = x
Add them together and you get 18.75
Compare the functions below
G(x)
f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1
Using complete sentences, explain which function has the greatest y-intercept.
please answer step by step
Answer:
f(x)=-6x-3 has a greater y intercept
Step-by-step explanation:
The Lateral Area of a cylinder is 8II square feet and its height is 4 ft. Find the radius,
O 12
08
0 1
03
9514 1404 393
Answer:
C. 1
Step-by-step explanation:
The lateral area is given by the formula ...
LA = 2πrh
Filling in the given values, you have ...
8π = 2π·r·4
1 = r . . . . . . . . divide by the coefficient of r
The radius of the cylinder is 1 foot.
A carpentry tool has replaceable hexagonal heads. The diagram below shows the replaceable head. *Picture not drawn to scale What is the area of the replaceable head? Round to the nearest hundredth, if necessary. A. 13.59 square inches B. 12 square inches C. 15 square inches D. 17.81 square inches
Answer:
Step-by-step explanation:c 15
Need help ASAP 10 points right now plz help
Answer:
Area is 195 in
Step-by-step explanation:
I did this assignment :D
Complete the table using the function c = 12m - 17.
Step-by-step explanation:
c = 12m - 17
m = 2
c = 12×2 - 17 = 24 - 17 = 7
m = 4
c = 12×4 - 17 = 48 - 17 = 31
m = 8
c = 12×8 - 17 = 96 - 17 = 79