Answer:
$3.58
Step-by-step explanation:
Since the cost is increasing, you need to add the two values together.
$3.49 + $0.09 = $3.58
The price of gasoline after the increase is $3.58.
Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700.
Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.
As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on?
a.
They should work on their plan for managing income.
b.
They should work on their plan for managing their liquidity.
c.
They should work on their plan for protecting their assets.
d.
They should work on their plan for protecting their income.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
They have a lack of income
Chicken is on sale for $3.90 per pound. If
Ms. Gellar buys 2.25 pounds of chicken, how
much will she spend? Round to the nearest
penny.
Answer:
$8.78
Step-by-step explanation:
Hello!
To find how much she will spend we multiply the cost per pound by the amount of pounds
3.90 * 2.25 = 8.775
Round to the nearest penny
$8.78
The answer is $8.78
Hope this helps!
Please hurry simplify the problem a i b 5i c -i
Answer:
[tex]\frac{90}{5} i[/tex]
Step-by-step explanation:
10 * sqrt(81/25 * -1) = 10 sqrt(81/25) * sqrt(-1) = 10 *9/5 * i
Three dozen cookies require 4 cups of flour. How many dozens of cookies can be made with 16 cups of flour?
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
Criss-cross method:
4 cups of flour -> 3dozen cookies
16 cups of flour -> x
[tex] x = \frac{16 \times 3}{4} = \frac{48}{4} = 12[/tex]
Hope this helps..
A monument is made in the form of a pyramid with a regular pentagon as a base. Each side of the base is 3 m long and has a slant height of 24 m. If the monument is to be covered by a metal, how many square meters of metal is needed to cover the faces of the pyramid?
Answer:
180m²
Step-by-step explanation:
In order to solve this question, we have to find the area of the pyramid with a pentagonal base.
This pyramid has slant height = 24m
Since the base is a pentagon, it means it is 5 sided.
Each side of the base = 3m
The area of the pyramid = 1/2 × 5(side length) × slant height
= 1/2 × 5(3) × 24
= 180m²
Therefore, the square meters of metal needed to cover the faces of the pyramid = 180m²
After a baby was born, he began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 10 pounds. write an equation for W, in terms of t, representing weight, in pounds, of the newborn baby tt months after birth.
Answer:
[tex]W(t) = 2t[/tex]
Step-by-step explanation:
Given
Weight = 2 pounds
Rate = monthly
Required
Determine the weight of the baby in t months
When the baby is 1 month old, t = 1;
[tex]Weight = 2\ pounds * 1[/tex]
[tex]Weight = 2\ pounds[/tex]
When the baby is 2 months old, t = 2;
[tex]Weight = 2\ pounds * 2[/tex]
[tex]Weight = 4\ pounds[/tex]
When the baby is t months old;
[tex]Weight = 2\ pounds * t[/tex]
[tex]Weight = 2t\ pounds[/tex]
Represent Weight as a function of t
[tex]W(t) = 2t[/tex]
Hence, the formula is [tex]W(t) = 2t[/tex]
Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3
Answer:
[tex]\displaystyle y = \frac{1}{2} x - 7[/tex]
Step-by-step explanation:
We want to determine the equation of the line that passes through the point (6, -4) and is perpendicular to the line:
[tex]\displaystyle y = -2x - 3[/tex]
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The slope of the given line is -2.
Hence, the slope of the perpendicular line is 1/2.
Therefore, the slope of our new line is 1/2. We also know that it passes through the point (6, -4). Since we are given the slope and a point, we can consider using point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Let (6, -4) be (x₁, y₁). Substitute:
[tex]\displaystyle y - (-4) = \frac{1}{2}(x - (6))[/tex]
Simplify. Distribute:
[tex]\displaystyle y + 4 = \frac{1}{2} x - 3[/tex]
And subtract 4 from both sides:
[tex]\displaystyle y = \frac{1}{2} x - 7[/tex]
In conclusion, the equation of our line is:
[tex]\displaystyle y = \frac{1}{2} x - 7[/tex]
A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Determine the intervals on which the function is increasing, decreasing, and constant. Increasing x < 0; Decreasing x > 0 Increasing x > 0; Decreasing x < 0 Increasing x < 3; Decreasing x > 3 Increasing x > 3; Decreasing x < 3
Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,
[tex]\frac{dy}{dx}=\frac{d}{dx}(x^{2}+3)[/tex]
y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
can someone plz help? idk properties in math
I need help finding the intersection of the line and plane
Answer:
the line is making a kite like shape
Nia and Trey both had a sore throat so their mom told them to gargle with warm salt water.
Nia mixed 1 teaspoon salt with 3 cups of water.
Trey mixed 12 teaspoon salt with 112 cups of water.
Nia tasted Trey’s salt water. She said,
“I added more salt so I expected that mine would be more salty, but they
taste the same.”
Explain why the salt water mixtures taste the same.
Answer:
both mixes used the same ratio of salt to water.
Step-by-step explanation:
Nia used double Trey's recipe, doubling both the salt and the water. So, the ratio of salt to water was the same in each mix.
__
Trey's recipe: (1/2 tsp salt : 1.5 cups water)
Nia's recipe: 2(1/2 tsp salt : 1.5 cups water) = 1 tsp salt : 3 cups water
4(8x + 4) – 20 = -20
Answer:
x = -1/2
Step-by-step explanation:
4 (8x + 4) -20 = -20
=> 32x + 16 -20 = -20
=> 32x - 4 = -20
=> 32x = -20 + 4
=> 32x = -16
=> 32x/32 = -16/32
=> x = -1/2
So, x is -1/2 or -0.5
To simplify 4(8x+4), multiply 4 by 8x and 4.
(4×8x) + (4×4) = 32x and 16
32x + 16 - 20 = -20
Subtract 16 from both sides.
You should end up with 32x - 20 = -36
Add 20 to both sides.
You should end up with 32x = -16
-16 ÷32 = -1/2
x = -1/2
♡ Hope this helps! ♡
❀ 0ranges ❀
find the value of f(12) if f(x)=-2x+4
Answer:
f(12) = - 20
Step-by-step explanation:
To evaluate f(12), substitute x = 12 into f(x), that is
f(12) = - 2(12) + 4 = - 24 + 4 = - 20
The required value of function at x = 12 is f(12) = -20.
Given that,
A function is given,
f(x) = -2x + 4
The solution of the function at x = 12 is to be determined.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the given function is,
f(x) = -2x + 4
At x = 12
put x = 12 in the function
f(12) = -2 * 12 + 4
f(12) = -24 + 4
f(12) = -20
Thus, the required solution of the function at x = 12 is -20.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
Given that 110ₓ = 40₅ , find the value of x.
110x=405
1*x^2 +1*x^1 +0*x^0=4*5^1+0*5^0
x^2+x=4*5
x^2+x=20
x^2+x-20=0
x^2 +5x-4x-20=0
x(x+5)-4(x+5)=20
(x-4)(x+5)=20
x= 4 or -5
But a base cannot be negative so
x=4
A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on two numbers pays 17 to 1 (that is, if you bet $1 and one of the two numbers you bet comes up, you get back your $1 plus another $17). How much do you expect to win with a $1 bet on two numbers
Answer:
-$0.05
Step-by-step explanation:
The computation is shown below:
The loss case = -1
The win case = 11 + 17 + 1 = 17
Now the number of pairs could be formed from (1 to 356, 0, 00) i.e.
[tex]= \frac{38!}{2!36!}[/tex]
= 703
Now
Pr (x = 17) is
[tex]= \frac{1\times37}{703}\\\\ = \frac{37}{703}[/tex]
And, Pr (x = -1) is
[tex]= 1 - \frac{37}{703}\\\\ = \frac{666}{703}[/tex]
Now
E(x) = (-1) Pr (x = -1) + (17) Pr (x = 17)
[tex]= -1 \times \frac{666}{703} + 17 \times \frac{37}{703} \\\\ = \frac{-37}{703}[/tex]
= -$0.05
hence, the -$0.05 would be expected to win that associated with a $1 bet on two numbers
How many whole numbers from 0 to 55?
Answer:
56
Step-by-step explanation:
What’s the answer/ how should I work it?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]-\frac{6}{11} + (-\frac{5}{11}) =[/tex]
[tex]=\frac{-6}{11} + \frac{5}{11}[/tex]
[tex]= \frac{-6}{11} + \frac{-5}{11}[/tex]
[tex]= -1[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
If you were in charge of the money, how would you recommend your friends spend it? Explain why you choose the solution you did. Why do you think it's the most fair? (3 points:1 point for stating your recommendation and 2 points for explaining your reasoning)
Answer:
I would recommend them to go out with their family and spend it because i feel that people always dream about ways to bring their family close again so that can be a good way to bond and do things that often cost a lot of money.
Step-by-step explanation:
Write an equivalent expression by applying the distributive property (x + y + 3) x (y + 1) = A: 2y2+xy+4 B: 2y + x + 4 C: y2+xy+4y+x+3 Please help math makes me go insane
Answer:
C
Step-by-step explanation:
So we have the expression:
[tex](x+y+3)\times(y+1)[/tex]
To multiply, use the distributive property. Multiply (y+1) to each term on the left:
[tex]=x(y+1)+y(y+1)+3(y+1)[/tex]
Distribute the variables:
[tex]=(xy+x)+(y^2+y)+(3y+3)[/tex]
Rearrange them to combine like terms:
[tex]=y^2+xy+y+3y+x+3\\=y^2+xy+4y+x+3[/tex]
The correct answer is C.
Edit: Typo
[tex](x+y+3)\cdot(y+1)=\\\\=(x+y+3)\cdot y+(x+y+3)\cdot1=\\\\=xy+y^2+3y+x+y+3=\\\\=\boxed{y^2+xy+4y+x+3}[/tex]
Answer C.
Mr Gupta has some rice of worth RS 3000. He sold 1/3 of it with 10% loss .By how many percent must the selling price be increased for making 10% profit on the outlay?
Answer:
20% more of cost price, or 30% more of initial selling price
Step-by-step explanation:
Given:
Product CP = Rs. 3000Sold 1/3 at a loss of 10%Target profit = 10%SP for the rest = ?SolutionTotal money to be obtained:
3000 + 10% = 3000*1.1 = Rs. 3300Money already got:
1/3*3000 - 10% = 1000 - 10% = Rs. 900Money left to obtain:
3300 - 900 = Rs. 2400Product left to sell, worth of:
3000*2/3 = Rs. 2000The difference:
2400 -2000 = Rs. 400Required selling price increase:
400/2000* 100% = 20% of CPOr compared to initial price, new SP to be increased by 30%
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =
Answer:
F(x-h) = x² + 2xh +h² +2
Step-by-step explanation:
F(x) = x² + 2, x∈R
F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2
Answer:
F ( x ) = x^2 + 2
Domain = R
F ( x - h ) = ( x - h )^2 + 2xh + h^2 + 2
Select the property that is illustrated by the given equation.
Answer:
Commutative property of addition
Step-by-step explanation:
The equation shows a change in the order of the two numbers in an addition. A change of order is the commutative property.
Answer: Commutative property of addition
A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill
without the tip for each party is listed in the table. How much did the server make in tips during this shift?
Distributive Property: a(b + c) = ab + ac and (b + c)a = ba = ca
Party 1
Party 2
Party 3
Party 4
Party 5
$185.45 $205.20 $195.05 $245.80 $262.00
Answer:
$218.70
Step-by-step explanation:
You need to first convert the percentage to the decimal.
20% = 0.2
Now, you need to find 20% of each bill by multiplying each bill by 0.2.
0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)
Because of the distributive property, you can add up the bills and multiply the sum by 0.2.
0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)
0.2(1093.50)
218.7
The waiter made $218.70 in tips.
Factor the expression 343y^6+64
Answer: 343y^6+64= (7y^2+4)(49y^4-28y^2+16)
Step-by-step explanation:
Answer: The answer is shown in the picture down below.
I need sum help with math
Answer:
Step-by-step explanation:
1) (1÷5)*5*14 = [tex]\frac{1}{5}*5*14[/tex] = 1*14 = 14
2) 6 + 4(19 - 5) = 6 + 4 * 14
= 6 + 56
= 62
Or
Use distributive property. a(b+c) = a*b + a*c
6 + 4( 19 - 5) = 6 + 4* 19 - 4*5
= 6 + 76 - 20
= 82 - 20
= 62
3) 5(14- 5) + 6 (3 +7) = 5 * 9 + 6 *10
= 54 + 60
= 114
help me bc a b is stupid...
Answer:
8cm³
Step-by-step explanation:
This is a problem finding volume through water displacement.
When you drop an object in water, its volume is the change in the height of the water.
In picture two the height of the water is at 25, and in picture one the height is at 17.
25-17=8
3. Which of the following has a value that is
less than zero?
a. (-6)2
b. (32
c. 0.52
d. -72
Answer:
d) -72
Step-by-step explanation:
The value of negative integers is always less than zero.
So, (-72) is the answer
(-6)² = (-6) * (-6) = 36. Which is greater than 0
g(x)=X3 - 3x² - 4 + 12
End behavior
Answer:
Step-by-step explanation:
This is a cubic equation with a positive leading coefficient
The graph will descend to the left and ascend to the right.
Answer:
the function is an odd degree with a positive leading coefficient, so the end behavior will be
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day. Formulate and then graph the equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, X.
Answer:
125+2x=y (take 125 add 2x for $2 a day and then = y for amount saved)
Points on Graph:
(125,0)
(135,5)
(145,10)
(155,15)
(165,20)
(175,25)
(185,30)
(195,35)
(205,40)
(215,45)
(225,50)
Answer:
Step-by-step explanation:
Why does the inequality sign have to be flipped when multiplying and dividing by a negative number like in −2x > 10?
Answer:
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
Answer:
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
Step-by-step explanation: