Answer: 149 cartridges will be sold at 20 dollars per cartridge.
Step-by-step explanation:
Given: The projected sales volume of a video game cartridge is given by the function [tex]s(p)=\dfrac{3000}{2p+a}[/tex], where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.
Put s(p)=100000, p= 10, we get
[tex]100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97[/tex]
i.e. [tex]s(p)=\dfrac{3000}{2p-19.97}[/tex]
Put p=20, we get
[tex]s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149[/tex]
Hence, 149 cartridges will be sold at 20 dollars per cartridge.
UberEats claim that they will deliver the food on-time 96% of the time. During that day there were 2,750 deliveries in the city of Houston. How many of those deliveries were NOT on time?
compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45
Answer:
El orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces el orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009
if sin=3 by 5 and cos =4 by 5 find tan
Answer:
3/4Step-by-step explanation:
[tex]tan = \frac{sin}{cos } [/tex]
=3/5/4/5
=3/5 × 5/4
=15/20
=3/4
If 39 is 5% of a number, what is that number? How did you find your answer?
Please help! I may have more to ask!!
Answer:
Perimeter = 26.85 in.
Step-by-step explanation:
Perimeter of a figure = Sum of the lengths of the boundaries of the figure
In the figure attached,
There is a parallelogram with side lengths 5 in, 7 in and 7 in.
And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in
Now the circumference of the semicircle = πr
= π(2.5)
= 7.85 in.
Now the perimeter of the total figure = 7 + 5 + 7 + 7.85
= 26.85 in.
Therefore, perimeter of the figure is 26.85 in.
>:)))))))))
i use u guys to get though exam
Answer:
B) 3/8
Step-by-step explanation:
Proportion/ Ratio:
3 pounds to 8 flower beds
3 : 8
3 / 8
Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years.
If the annual interest rate stays constant at 6%, what is the value of these payments in today's dollars? (Note: Round your answer to the nearest
whole dollar.)
O $6,583
O $5,279
$7,763
$6,210
WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?
Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
72 Miles
Step-by-step explanation:
Harriet believes that the function y = 11x is linear, while Paul believes that it is not linear. Who is right, and why?
Answer: Harriet is correct
Step-by-step explanation: Harriet is correct because if you graph it, it will turn out to be a straight line. It uses the equation y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Hope this helps!
What is the quotient of 1+ 3 Over 4 and 2 over 5
Answer:
2 1/2
Step-by-step explanation:
(These are fractions)
1+3 ÷ 2
4 5
(Simplify)
4 ÷ 2
4 5
(Same denominator)
20 ÷ 8
20 20
(Divide)
2 1/2
Where are my smart friends?? I had $3.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt and Uncle gave me $100.00. I had another $12.00. How much did I have?
Answer:
$155
Step-by-step explanation:
3 + 10 + 30 + 100 + 12 =
Answer:
$155
Step-by-step explanation:
3 + 10 + 30 + 100 + 12 = 155
You are by far, much richer than me
Compare the two fractions using , or =. 1/2 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 > 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2= 2/4
2/4 > 1/4
please help me with this answer
Answer: B. 2x^4+12x^2-8
Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4
x^2 x 2x^2+4x+3x+2-4
2x^4+12x^2-8
I think its B because the question does say that you have to multiply.
The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°
Answer:
A
Step-by-step explanation:
The sales Amount is 12,500.00, and 5% sales tax
a. what's is sales tax?
b. What's the total amount paid?
Answer:
Step-by-step explanation:
a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.
b.12500x5%=625
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.
How long is the dart in the air? Round to the nearest tenth
A. 0.7
B. 0.8
C. 1.5
D. 1.6
Answer:
D
Step-by-step explanation:
Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).
Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?
Answer:
its inner mars made of gas
and outer Jupiter made of rock
Step-by-step explanation:
i am in high school trust me
Answer:
inner venus made of rock
outer neptune made of gas
Step-by-step explanation:
inner planets are made of rock
outer planets are made of gas
inner planets: mercury, venus,earth. and mars
outer planets: jupiter,saturn,uranus and neptune
hope that helped!!!
what is x10=22130 bc i have no idea
Answer:
x = 2213
Step-by-step explanation:
We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.
10x ÷ 10 = x
22130 ÷ 10 = 2213
Therefore, x = 2213
NOTE:
I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.
To solve this, you have to take the root of both sides and solve.
Exact Form:
x = 10 √ 22130 , − 10 √ 22130
Decimal Form: x = 2.71955684 … , − 2.71955684 …
Answer:
x = 2213
Step-by-step explanation:
22130/10 = 2213
3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast
Answer:
×=-11
Step-by-step explanation:
3x+21=-12
3×=-33
×=-11
Answer:
x=-11
x+7=-4
Step-by-step explanation:
3(x+7)=-12
3x+21=-12
3x=-12-21
3x=-33
x=-33/3
x=-11
-11+7=-4
Who can help me pronto i will give a brainliest
Answer:I think it would be C
Step-by-step explanation:
Answer:
1) B
-2x+y=4
+2x+3y=20.
4y=24
2) 4y=24. divide both sides by 4
y= 6
3) (Pick any equation you like, change y to 6)
-2x+6=4 subtract 6 to both sides
-2x=-2 divide by -2
x=1
or
2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides
2x=2. divide by 2
x=1
4) (x,y) change the x and y to their values. (1,6)
Step-by-step explanation:
explained on top
figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x
Step-by-step explanation:
are this form 1 question??
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
∫ x^2√x^3+37 dx, u=x^3+37
The Given integral is :
∫x²√x³ + 37 dx ; u = x³ + 37
Answer:
2/9(x³ + 37)^3/2 + C
Step-by-step explanation:
∫x²√x³ + 37 dx ; u = x³ + 37
∫x²√u dx
Since u = x³ + 37
Differentiate u with respect to x
du/dx = 3x²
du = 3x²dx
dx = du / 3x²
∫x²√u dx = ∫x²√u du/3x²
1/3x²∫x²√u du
1/3 ∫ √u du
Integrating √u with respect to u
1/3 ∫ u^1/2 du
1/3 [u^(1/2+1) / 1/2 + 1] + C
1/3 [u^3/2 / 3/2] + C
1/3 u^3/2 * 2/3 + C
1/3*2/3 u^3/2 + C
2/9 u^3/2
u = x³ + 37
2/9(x³ + 37)^3/2 + C
What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
with a coupon, you can gat a pair of shoes that normally cost $84 for only $72. what percentage was the discount?
Answer:
14.29%
Step-by-step explanation:
72/84 = 6/7
7/7-6/7 = 1/7
1/7 = approximately 14.29%
how many years will it take $136000 to grow to 468000 if invested in an account with an annual interest rate of 8%
Principal: $35000
Rate: 2%
Time: 6 Years
What is the simple interest made?
Answer:
$4200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
I = 35000 × 0.02 × 6 = 4200
I = $ 4,200.00
The simple interest accumulated
on a principal of $ 35,000.00
at a rate of 2% per year
for 6 years is $ 4,200.00.
Answer:
I’m thinking $4200
Step-by-step explanation:
Because 35k at 2% for 6 years will get you that
Can you guys please help me !!
Answer:
EHD=57°
BEING CORRESPONDING ANGLE
Answer:
57°
Step-by-step explanation:
It's a corresponding angle so EHD is the same as EGB
The formula for the cost of buying a car is:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and
the deposit is £2000.
b) The cost of another car is £8000.
Find the monthly payment when the deposit is £2600.
Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
A homeowner wants to fence her rectangular backyard. The yard is 63ft by 66ft. If fencing costs $2 per foot, how much will it cost to fence the yard?
Answer:
Step-by-step explanation:
The equation y = 180 + 5x represents the amount the cheerleaders will pay a company for custom stadium blankets, where x represents the number of blankets purchased and y represents the total cost in dollars.
The equation y = 10x represents the club's income from selling the blankets, where y represents the money earned in dollars and x represents the number of blankets sold. The graph below represents this situation.
Assuming that the club members sell all the stadisum blankets they purchase, when will the club make a profit?
A-When 36 blankets are sold
B-When 360 blankets are sold.
C-When 37 or more blankets are sold.
D-When 35 or fewer blankets are sold.