Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
Learn more about the exponential function here;
https://brainly.com/question/15602982
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answer:
You would need $31 so W=4 and you would have $5 left
Step-by-step explanation:
i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72
sorry if im wrong or late
As part of a spring clearance, Macy’s put dress shirts on sale, 2 for $25.98. Assuming this discount applies even if we buy an odd number of dress shirts, how much will five shirts cost?
Answer:
The answer would be $64.95
Step-by-step explanation:
Divide $25.98 by 2 and you'd get $12.99 as an answer.
Now multiply $25.98 by 2 and then add $12.99 to your answer.
The circumference of a circle is 11 pi inches.
What is the area, in square inches, of the circle? Express your answer in terms of pi
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
The reciprocal parent function is reflected across the x- axis, then translated 5 units right and 7 units down . Write an equation that could represent this new function , then identify the asymptotes
Answer:
Equation: [tex]f'"(x) = -\frac{1}{x-5}-7[/tex]
Asymptotes: [tex](x,y) = (5,-7)[/tex]
Step-by-step explanation:
Given
Let the reciprocal function be:
[tex]f(x) = \frac{1}{x}[/tex]
First, it was reflected across the x-axis.
The rule is: (x,-y)
So, we have:
[tex]f'(x) = -\frac{1}{x}[/tex]
Next, translated 5 units right.
The rule is: (x,y)=>(x-5,y)
So:
[tex]f"(x)= -\frac{1}{x-5}[/tex]
Lastly, translated 7 units down.
The rule is: (x,y) => (x,y-7)
So:
[tex]f'"(x) = -\frac{1}{x-5}-7[/tex]
To get the vertical asymptote, we simply equate the denominator to 0.
i.e.
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
To get the horizontal asymptote, we simply equate y to the constant.
i.e.
[tex]y = -7[/tex]
[tex](x,y) = (5,-7)[/tex]
A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,
Answer:
The monthly payment will be of $11,485.37
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?
a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14
Answer:
A, 4 yougurt cups for $6
Step-by-step explanation:
The reason I did the math myself. Sorry if its incorrect.
choose the equation that best describes the following graph.
please answer ASAP.
a) y=-3/2x+5
b) y=-2/3x+5
c) y=-3/2x+3 1/2
d) y=-2/3x+3 1/2
Answer:
d) y= -2/3x+3 1/2
Step-by-step explanation:
Points on the graph: ( -4, 6) and ( -7, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-6)/(-7+4)
m= 2/(-3)
m= -2/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = -2/3(x + 4)
y - 6 = -2/3x - 8/3
y = -2/3x + 3 1/2
Solve for x. Assume that lines which appear tangent are tangent.
Answer:
Step-by-step explanation:
tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
Determine the missing side length
Hope this helps the answer is 97!
find the Range 11,10,15,17,14
(highest) -(lowest)
17-10
=7
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amount he paid for the pair of shoes.
Answer: $90
Step-by-step explanation:
To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)
Answer:
$60.00
Step-by-step explanation:
100 - 60 = 40% (Percentage after discount)
100% = 150
1% = 150 ÷ 100 = 1.5
40% = 1.5 x 40 = $60
What is the missing length?
808 - 589 what is the answer I need help
(I'm just trying to see if anybody here smart)
☁️ Answer ☁️
Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)
The answer is:
219
Explanation: I used my eyes, fingers, and a calculator.
Hope it helps.
Have a nice day noona/hyung
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
find the square of 2a plus 3b
Here is your answer!!
Answer:
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
Step-by-step explanation:
[tex](2a+3b)^{2}[/tex]
[tex]= (2a + 3b) (2a + 3b)[/tex]
[tex]= 4a^{2} + 6ab + 6ab + 9b^{2}[/tex]
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
Rewrite 14/32 in the simplest form.
Answer:
7/16
Step-by-step explanation:
Please please help please
Answer:
I have to know what you need help with, maybe post a picture or type the question next time?
how a single number could be a ratio?
Step-by-step explanation:
For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.
Hope this helps.
If ∆SDE ~ ∆SWT, find WT.
Which is more 4 inches or 1 foot
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
PLZ ANSWER NO FAKE LINKS
Answer:
equation is 4*3 =12
Step-by-step explanation:
She had 12 guests because there was 4 parts each.
Help asap please!will mark brainliest if there's two answers
Answer:
30 square meters
Step-by-step explanation:
there is none im just saying
[tex]8 + 8 < 17 > [/tex]
es la repuesta
8×2 8
Answer:
Step-by-step explanation:
what is the best math answer ever
Lol you like maths? Honestly, I don't like it much b r u h
3/5 * 4/5
Help Plessss
Answer:
12/25
Step-by-step explanation:
Answer:
0.48 of 48/100!
Step-by-step explanation:
Will give brainliest
Find the area of the following
parallelogram:
2 cm
4 cm
3 cm
A= [?] cm?
Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
The area of parallelogram is 6 square units.
What is a parallelogram?A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
For the given situation,
The base of the parallelogram,b = 3 cm
The height of the parallelogram,h = 2 cm
The formula of area of parallelogram is
[tex]A=bh[/tex]
⇒ [tex]A=(3)(2)[/tex]
⇒ [tex]A=6[/tex]
Hence we can conclude that the area of parallelogram is 6 square units.
Learn more about parallelogram here
https://brainly.com/question/16056863
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The radius of a cone is 4.9 cm and its height is 10 cm. Find the volume of the cone to the
nearest tenth. Use 3.14 for pie
Answer:
V = 251.3
Step-by-step explanation:
Volume of a Cone formula:
V = πr²(h/3)
Given:
r = 4.9
h = 10
Work:
V = πr²(h/3)
V = 3.14(4.9²)(10/3)
V = 3.14(24.01)(10/3)
V = 251.3
You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?