Answers
Answer:
137
Step-by-step explanation:
Use the formula for exponential growth:
f(x) = a(1 + r)^x
In this formula, f(x) is the resulting number, in this case the number of fast food stores. a is the initial value, in this case 50. r is the growth rate, which they told you was 7%. And x is the number of time intervals, which is how many years between 1990 and 2005.
Substitute the known values into the equation:
f(x) = a(1 + r)^x
r is going to be 0.07 because the growth rate in the equation is the decimal form of 7%. x will be 15 because 2005-1990 = 15
f(x) = 50(1 + 0.07)^15
f(x) = 50(1.07)^15
Now just solve.
f(x) = 50(1.07)^15
First raise 1.07 to the 15th power.
f(x) = 50(2.75903154)
Then simplify.
f(x) = 137.951577
They want the approximate amount, so round it down to 137. The number actually rounds to 138, but he doesn't have a full 138 stores, so you use 137.
Related Questions
Write a quadratic equation in standard form that has the following solutions: x = 4/3 and x = - 2/5
Answers
Answer:
15x^2 - 14x - 8 = 0.
Step-by-step explanation:
(x - 4/3)(x + 2/5) = 0
Converted to integer values by multiplying the first bracket by 3 and the second by 5:
(3x - 4)(5x + 2) = 0
Expanding the brackets:
15x^2 + 6x - 20x - 8 = 0
15x^2 - 14x - 8 = 0.
4x and -4x
Like or
Unlike
Answers
Answer:
unlike
Step-by-step explanation:
what is 30.84 round to the nearest hundredth
Answers
Answer:
30.8
Step-by-step explanation: round bozo
Find the area of the shaded region
Answers
Answer:
249.9
Step-by-step explanation:
Area of the shaded region is 223.72 square units.
Step-by-step explanation:
Area of the shaded region = Area of parallelogram - Area of triangle
Area of the parallelogram = base x height
= 23.8 x 15
= 357 square feet
Area of triangle = \frac{1}{2}
2
1
x base x height
Let the height of the triangle be represented by h, applying the Pythagoras theorem;
23.8^{2}23.8
2
= 21^{2}21
2
+ h^{2}h
2
566.44 = 441 + h^{2}h2
h^{2}h
2= 125.44
h = \sqrt{125.44}
125.44
= 11.2
h = 11.2
Area of the triangle = \frac{1}{2}
21 x 23.8 x 11.2 = 133.28
Area of shaded region = 357 - 133.28
= 223.72
Area of the shaded region is 223.72 square units.
Calculate the volume of this prism
20 cm
30 cm
10 cm
Answers
Answer:
[tex]6000(cm)^{3} [/tex]
Step-by-step explanation:
[tex]30 \times 10 \times 20[/tex]
[tex]300 \times 20[/tex]
[tex]6000(cm)^{3} [/tex]
Hope it is helpful...(a) Fill in the tavle below to complete the proability distrubution of X
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
(b) compute the mean of random variable x
Answers
Answer:
2.6
Step-by-step explanation:
Given :
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
Σp(x) = 1
Hence, 0.3 + 0.2 +? + 0.4 = 1
0.9 +? = 1
? = 1 - 0.9
? = 0.1
For the mean :
E(X) = ΣX*P(X)
(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)
0.3 + 0.4 + 0.3 + 1.6 = 2.6
Hence, the mean = 2.6
* will mark brainliest *
Find the Volume of the Cone. Use 3.14 for pi. Round your answer to the nearest whole number.
Answers
Answer: 23349 in^3
Step-by-step explanation:
Find the surface area
Answers
Answer:
SA= 113.3
Step-by-step explanation:
You would add all sides given to you to find the surface area.
help pls I have school in and hours
Answers
Answer:
2/5 = 40% 16/25 = 64% 9/25 = 36% 21/50 = 42%
Step-by-step explanation:
2 divided by 5 is .40. to make it a percentage move the decimal to the right two times. the same with the rest of the questions. numerator diveded by denominator, then move the decimal to the right 2 times. good luck hope i helped!
Solve equation
0=5x+3
Answers
Answer:
the answer is -3/5
Step-by-step explanation:
x=-0.6
Answer:
0 =5x+3
-3 =5x
-3/5=x
x=-3/5
Centerville has a population of 18,000. People under the
age of 18 make up 23% of the town's population. How
many people under the age of 18 live in Centerville??
Answers
Answer:4140
Step-by-step explanation: I’m just to beast
Plssssssssss help me
Answers
Answer:
B
Step-by-step explanation:
Draw a line from the top of the 3 m line to the 10 m line so that the new line meets the the 10 meter line at right angles. The part you are interested in should be 4 meters long.
Top rectangle.
Area = L * W
L = 7 (10 - 3 = 7)
W = 4
Area = 4* 7 = 28
Bottom rectangle
Area = L * W
L = 12
W = 3
Area = 12 * 3 36
Total Area 64
Cornelius is building a solar system model. He plans on making a circular ring around one of the planets out of wire. He wants to know how long he should make the wire to position around the planet. Select all the formulas that coulr be used to determine the length of the circular ring.
Answers
Answer:
[tex]C = 2\pi r[/tex]
[tex]C = \pi d[/tex]
Step-by-step explanation:
Given
A circular ring
Required
The length
Let
[tex]r \to[/tex] the radius of the ring
The length is calculated by calculating the circumference of the ring.
This is calculated using:
[tex]C = 2\pi r[/tex]
or
[tex]C = \pi d[/tex]
Where
[tex]d \to[/tex] diameter
and [tex]d = 2r[/tex]
What is the measure in degrees of GR?
Answers
Answer:
80 degrees
Step-by-step explanation:
180 - 20 = 160. 160 / 2 = 80. They're both the same lines so they should have the same angles.
12) If there was a tax of 7%, what is the final deconstructed percent? *
7 points
107%
1.07%
7%
93%
Answers
Find the expected value of the winnings
from a game that has the following
AWARDING BRAINLEST ANSWER!! PLZ I NEED HELP!!
payout probability distribution:
Payout ($)
0
5
8
10
15
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answers
Answer:
The answer is 3.95
Step-by-step explanation:
0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?
0 + 1 + 1.2 + 1 + .75 = 3.95
7) Find the area of a triangle with a base of 20m and a height of 12m? * 1 point 120 m2 O 100 m2 O 240 im2 60 m2
Answers
Answer:
option A is correct
Step-by-step explanation:
Base=20m
Height=12h
We know that,
Area=1/2×Height×Base╭☞Area=1/2×20×12
╭☞1/2×240
╭☞240/2
╭☞120m^2
Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for π. Round your answer to the nearest tenth.
Answers
Answer:
848 is the answer
The volume of the cone is approximately 282.74 cubic centimeters.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius of the base and h is the height of the cone.
Substituting the given values.V = (1/3)π(9 cm)²(10 cm)
V = (1/3)π(81 cm²)(10 cm)
V = (1/3)π(810 cm³)
V = (270/3)π cm³
V = 90π cm³
V ≈ 282.74 cm³ (rounded to the nearest tenth)
Therefore,
The volume of the cone is approximately 282.74 cubic centimeters.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ3
[tex] {x}^{2} + 3x + 2[/tex]
Answers
Answer:
[tex]x^2 + 3x +2 = 0\\x^2 +2x +x +2 = 0\\x(x + 2) +1(x+2)=0\\(x+1)(x+2)=0[/tex]
Maria is serving shrimp cocktail at a party. She estimates that she will need 5 shrimp for each guest. A 12-ounce bag of shrimp contains approximately 26 shrimp. How many bags of shrimp should she buy to serve 50 guests?
pls help
Answers
10x5= 50
10 bags would be needed.
4(c-3)-8 what is the value of c
Answers
Answer:
Did you mean 4c-12=8? If so, the value of c is 5.
Step-by-step explanation:
Answer:
4c-12=8 the value of c is 5.
Step-by-step explanation:
Solve the following equation using the zero prouduct property (x+9)(4x-1)=0
Answers
Answer:-9
1
Distribute
x
(
4
x
−
1
)
+
9
(
4
x
−
1
)
=
0
x(4x−1)+9(4x−1)=0
2
Distribute
4
x
2
−
x
+
9
(
4
x
−
1
)
=
0
4x
2
−x+9(4x−1)=0
3
Distribute
4
x
2
−
x
+
36
x
−
9
=
0
4x
2
−x+36x−9=0
4
Combine like terms
4
x
2
+
35
x
−
9
=
0
4x
2
+35x−9=0
5
Use the quadratic formula
x
=
−
35
±
35
2
−
4
⋅
4
(
−
9
)
2
⋅
4
x=
2⋅4
−35±
35
2
−4⋅4(−9)
6
Simplify
x
=
−
35
±
37
8
x=
8
−35±37
7
Separate the equations
x
=
−
35
+
37
8
x
=
−
35
−
37
8
x=
8
−35+37
x=
8
−35−37
8
Solve
x
=
1
4
x
=
−
9
x=
4
1
x=−9
Please help me if anyone can
Answers
Answer:
V is proportional
Step-by-step explanation:proportion rule for b is x:4y
Which expression is equivalent to 2 (t -4) + 1
Answers
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
When you multiply out the two, you get:
2(t) - 2(4) +1
2t - 8 + 1
2t-7
Answer:
2t-7
Step-by-step explanation:
10) The Red bus company charges $100 plus
$50 per hour to rent a bus. The Blue bus
company charges $200 plus $25 per hour.
After how many hours do the bus
companies charge the same amount?
Answers
Answer:
After 4 hours of renting the bus both companies would charge 300 dollars.
Answer:
4 hours
Step-by-step explanation:
$100 (base price) + 200 (4 hrs at a $50 rate) = $300
$200 (base price) + $100 (4 hours at a $25 rate) = $300
Help pls this is late n no links
At a coffee shop, the first 100 customers'
orders were as follows.
Large
Small
Medium
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answers
Answer:
Step-by-step explanation:
out of 100 total drinks
find large cold which looks like 8 of those were ordered.
8/100
or 2/25 = .08 or 8% chance
A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?
Answers
Answer:
680 miles
Step-by-step explanation:
Multiply the mph by the total hours to get your answer
40 × 17 = 680
Have a great day! :)
Answer:
680 Miles
Step-by-step explanation: Miles per hour times Hours
40 times 17
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answers
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
Describe the event as impossible, unlikely, equally likely, likely, or certain.
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
first to answer gets brainlyest
Answers
Answer:
likely
Step-by-step explanation:
100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
[tex]\sf{\dfrac{75}{100} }[/tex] [tex]\sf{\dfrac{3}{4} }[/tex]The probability of rain is 3/4
Elisa y su sombra forman un ángulo recto . La sombra anide 1,2 m y el ángulo con el que se ve la parte superior de su cabeza desde el extremo de la sombra mide 54° 50° . Calcular la altura de Elisa
Answers
Answer:
h = 1.65 m
Step-by-step explanation:
Me parece que el problema está mal formulado por lo siguiente:
El angulo al que se refiere el problema es 54° o es 50° o es 54°,50´
Como resolver el problema en cualquier caso.
Si Elisa y su sombra forman un angulo recto, entonces Elisa, su sombra y la distancia entre la cabeza de Eliza y el final de su sombra forman un triangulo rectangulo. Para el cual entonces solo es necesario buscar la tangente del angulo ( cateto opuesto sobre cateto adyacente) como conocemos el cateto adyacente ( la sombra de Elisa ) calculamos la altura de Elisa (h).
Asumamos que el angulo es de 54° entonces
tang 54° = 1.3763
tang 54° = 1.3763 = h/1.2
h = 1,3763*1,2 m
h = 1.65 m
De igual manera se procedería si el angulo es de 50° ( en este caso la tang 50° = 1.1917