Answer:
Step-by-step explanation:
Using exponential function concepts, it is found that:
The model is: .
The car will be worth $13,625 in 7 years.
Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat. If the current prices of these items are the same as last spring, how much will Luis pay this spring for three gloves and four bats?
Answer:
Luis will pay for three gloves and four bats = $ 270
Step-by-step explanation:
Let the bats be represented by b and gloves by g, then according to the given conditions
3b+ g= $135----equation 1
b+ 2g= $135------equation 2
Subtracting equation 2 from eq. 1 gives
3b+ g= $135----equation 1
-b -2g= -$135------equation 2
2b -g = 0 --------- equation3
2b-g= 0
or 2b= g------ equation4
This means price of 2 bats is equal to price of 1 glove.
Putting value of g in eq. 1 from eq. 4
3b+ 2b= $ 135
5b= $135
b= 135/5= 27
Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54
Luis will pay for three gloves and four bats
= 54*3 + 4*27
= 162+ 108
= $ 270
Evan earns $21.50 per hour for 25 hours and time and a half for overtime. If he worked 5 hours
overtime, what is his total pay?
I will give you BRAINLEST if you answer !!!!!!
Answer:
45
Step-by-step explanation:
Use Pythagoras theorem to solve
When finding the area of a quadrilateral, what operation would I use and why?
Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.
PLEASE HELP NEED IT ASAP
Write the equation, in slope-intercept form, for the line shown in the graph below
Answer:
y=5x+3
Step-by-step explanation:
Slope is going 5 units up and 1 unit right.
Slope= 5/1 but just the 5 is preferred.
y-intercept=3
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant
Answer:
12 Tulips
Step-by-step explanation:
Daffodils - 4, 4, 4, 4 = 16
Tulips - 3,3,3,3 = 12
28 flowers in all
sjdjsjjdjsjdjsjsjds
Answer:
answer = 2
4- 10
6- 15
Step-by-step explanation:
i have learned it
At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?
Answer:
Wegman's, roughly 3 cents
Step-by-step explanation:
Divide the price by the number of paper towels in the pack to get the unit price.
$15.72/12= $1.31
$13.35/10= $1.335, round since it's money, $1.34
$1.34-$1.31= $0.03 or 3 cents
Wegmans has the better buy, as their unit price is lower.
The difference in unit prices between the two stores is $0.03 per paper towel.
To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.
The unit price is the cost per paper towel.
For Wegmans:
Cost of 12 pack of paper towels = $15.72
Number of paper towels in the pack = 12
Unit price at Wegmans = Total cost / Number of paper towels
Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel
For Tops:
Cost of 10 pack of paper towels = $13.35
Number of paper towels in the pack = 10
Unit price at Tops = Total cost / Number of paper towels
Unit price at Tops = $13.35 / 10 = $1.34 per paper towel
Now, we compare the unit prices:
At Wegmans, the unit price is $1.31 per paper towel.
At Tops, the unit price is $1.34 per paper towel.
The store with the lower unit price has the better buy.
In this case, Wegmans has the better buy, as their unit price is lower.
To find the difference in unit prices:
Difference in unit prices = Unit price at Tops - Unit price at Wegmans
Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel
So, the difference in unit prices between the two stores is $0.03 per paper towel.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?
Answer:
12 1/2 kg
Step-by-step explanat
A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?
Answer:
138 laps in 23 minutes
Step-by-step explanation:
30/5
x/23
5x=690
690/5=138
6 x 10^ is how many times as large as 3 x 10^3?
Answer: 1800000000
Step-by-step explanation:
Answer:
200 Times as large
Step-by-step explanation:
Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.
Area of a circle = pi x r^2
Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 square units.
Express the following in exponential
notation: (3p) x (3p) x (3p)
school x and school y play eachother in a competition school x has eight more points than school y school x has three times as many points as school y. how many points does each school have?
Answer:
School X has 12 points and school y has 4 points.
Scuba diving, Elisa descends at a rate of 7 1/2 feet per minute. How long 2
will it take her to reach a depth of 90 feet?
Answer:
12 minutes
Step-by-step explanation:
90/7.5 = 12 minutes
12x + 70 ≥ 10x + 80?
Answer:
x is greater than or equal to 5
Step-by-step explanation:
Hope this helps! :))
Have a nice day<3
Zoom In to see I need help
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
$135
Step-by-step explanation:
Step 1
Conversion
Base = 2 yards
1 yard = 3 feet
2 yards = x
Cross Multiply
x = 2 × 3 feet = 6 feet
Height = 5 yards
1 yard = 3 feet
5 yards = x
Cross Multiply
x = 5 × 3 feet = 15 feet
Step 2
Find the area of the triangle
Area of a triangle = 1/2 × base × height
Base = 6 feet
Height = 15 feet
Area = 1/2 × 6 × 15
= 45 square feet
Step 3
Find the cost of the carpet
1 Square foot = $3
45 square feet = x
Cross Multiply
x = 45 × $3
x = $135
Therefore, the amount you will pay to cover a triangular section of the floor is $135
The radius of a circle is 2 miles. What is the circle's
circumference?
r=2 mi
Use 3.14 for a.
Answer:
12.56
Step-by-step explanation:
4 ×3.14 to get 12.56
find the slope when given the following points (1 6) and (3 -4)
Answer:
Slope= (-4-6)/(3-1)
=-10/2
=-5
help help help !!!!! iam stuck in this question
the straight line L passes through the points (0 , 12) and (10 , 4).
Find an equation of the straight line which is parallel to L and passes through the point (5 , -11).
Answer:
y = - [tex]\frac{4}{5}[/tex] x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)
m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L
Parallel lines have equal slopes , then
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line
The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The straight line L passes through the points (0 , 12) and (10 , 4).
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
Now,
Since, The straight line L passes through the points (0 , 12) and (10 , 4).
So, Equation of line L is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 12 = (4 - 12) / (10 - 0) (x - 0)
⇒ y - 12 = - 8 / 10x
⇒ 10 (y - 12) = - 8x
⇒ 10y - 120 = - 8x
⇒ 10y = - 8x + 120
⇒ y = - 8/10x + 12
⇒ y = - 4/5x + 12
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = -4/5x + 12
m = dy/dx = - 4/5
m = - 4/5
Thus, The equation of line with slope 1- 4/5 is,
⇒ y - (-11) = - 4/5 (x - 5)
⇒ y + 11 = - 4/5 (x - 5)
⇒ 5 (y + 11) = - 4x + 20
⇒ 5y + 55 = - 4x + 20
⇒ 5y = - 4x + 20 - 55
⇒ 5y = - 4x - 35
⇒ y = - 4/5x - 7
Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.
Step-by-step explanation:
the slope is 2 (the cost for each topping)
the y-int is 8,, it represents the initial $8 for the pizza
and i dnt understand wht the last sentence is asking for
HIII could some one please help me !!
Answer:
always
Step-by-step explanation:
so if it isn't it will be an acute or an obtuse
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C
Solve the system by substitution.
x=-6y 4x + 10y = 14
Answer:
x = 6
y = -1
Step-by-step explanation:
x = - 6y ----------------------(I)
4x + 10y = 14 ------------------(II)
Substitute x = -6y in equation (II)
4*(-6y) + 10y = 14
-24y + 10y = 14 {Combine like terms}
-14y = 14 {Divide both sides by 1-4}
y = 14/-14
y = -1
Now, substitute y = -1 in equation (I)
x = - 6*(-1)
x = 6
4(3x-5)-2(5x-7) please help me i’m not it’s if it’s 2x-6 or 2x-3
Answer:
2x-6
Step-by-step explanation:
4(3x-5)-2(5x-7)
(12x-20)-(10x-14)
12x-20-10x+14
12x-10x-20+14
2x-6
Answer:
=> first multiply the numbers in bracket
4(3x-5)-2(5x-7) when we multiply for 4 and -2
12x-20-10x+14
=> then collect the like terms
12x-10x-20+14
=> 2x-6
What does A equal: 3(6a+12)=9
Answer:
a = -3/2
Step-by-step explanation:
3(6a+12)=9
Divide each side by 3
3/3(6a+12)=9/3
6a+12 = 3
Subtract 12 from each side
6a+12-12 = 3-12
6a = -9
Divide by 6
6a/6 = -9/6
a = -3/2
3(6a+12)=9
distribute
18a+36=9
subtraction P.O.E.
18a=-27
division P.O.E.
a=-1.5
3x²+6x+8=6 find the discriminant
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
3x^2+6x+8=6
3x^2+6x+8-6=0
3x^2+6x+2=0
here a=3 ,b=6,c=2
Discriment=b^2-4ac
=(6)^2-4(3)(2)
=36-24
=12