Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?
Answer:
370 stores
Step-by-step explanation:
Given data
initial number of stores P= 200
r= 8%
t= 1999-2007= 8 years
Let us apply the compound interest expression to find the final amount of stores
A= P(1+r)^t
A= 200(1+0.08)^8
A= 200(1.08)^8
A= 200*1.85
A=370
Hence the number of stores in 2007 is 370 stores
A blueprint for a new triangular playground shows that the sides
measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.
Answer:
no
Step-by-step explanation:
because it is not equal numbers
please help me please do them all its just thrree
Step-by-step explanation:
hope this helps. I worked out then posted.
a. How are pieces 1 and 2 related? pieces 3 and explain how
the pieces are related
Answer:
sorry i don't really get this cause the way you explained it maybe in the comment section say it again and i might get it when you say it again.
What are all t possible names for these?? Help plz
Answer:
13.....square
14....parallelogram
15....rhombus
16....trapezium
17...kite
18....rectangle
Answer:
#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.
Hope this helps :)
Gabriella made 5 waffles for breakfast. She has 25 strawberries and 15 blueberries to put on top of the waffles. She will put a equal number of berries on each waffle.How many berries will gabrielle put on each waffle?
A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
For more about the equation,
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If A = 56° then find C.
Answer:
124
Step-by-step explanation:
If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.
I hope this helps!
The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole
Answer:
20 cm
Step-by-step explanation:
Shadow of vertical poles : 6m ; 15m
Length of poles : 8cm ; h
8cm long pole = shadow length, 6m
h cm long pole = shadow length, 15 m
Using cross multiplication :
8cm * 15 m = h cm * 6m
120 = 6h
h = 120 / 6
h = 20 cm
Height of second pole = 20cm
Find the length of the third side.if necessary, round to the nearest tenth 24 18
Answer:
30
Step-by-step explanation:
\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}
Legs: 18, 24Hypotenuse: ?
a^{2}+b^{2}=
a
2
+b
2
=
\,\,c^{2}
c
2
The Pythagorean Theorem
18^{2}+24^{2}=
18
2
+24
2
=
\,\,c^{2}
c
2
Plug in. c is the hypotenuse.
324+576=
324+576=
\,\,c^{2}
c
2
Square the numbers.
900=
900=
\,\,c^{2}
c
2
Add.
\sqrt{900}=
900
=
\,\,\sqrt{c^{2}}
c
2
Square root both sides.
30=
30=
\,\,c
c
The hypotenuse.
HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
About 1,130.4 Cubic Feet
(My previous answer was a mistake. It has now been corrected)
Step-by-step explanation:
The Volume of a cylinder = Height * Pi * Radius^2
The radius is half the diameter, so 12 ÷ 2 = 6
Pi rounded to the hundredth place is 3.14.
Volume = 10 * 3.14 * 6^2 = 1,130.4
Therefore the Volume is about 1,130.4 cubic feet.
Answer:
Exact Volume = 360pi cubic feet
Approximate Volume = 1130.4 cubic feet
The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.
===========================================================
Explanation:
The volume of a cylinder is found by the formula
V = pi*r^2*h
where,
pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ftSo,
V = pi*r^2*h
V = pi*6^2*10
V = pi*36*10
V = pi*360
V = 360pi ........... exact volume in terms of pi
V = 360*3.14
V = 1130.4 ......... approximate volume if you use pi = 3.14
The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).
What is the meaning of a sample in mathematics?
Answer:
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.
Step-by-step explanation:
The equation  is written in point-slope form. What is the equation written in slope-intercept form?    
Answer:y+6 = 1/3 (x, -9)
Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.
Which scenario could be represented by the value −8 ? Select each correct answer. A puppy gains 8 pounds. The temperature is 8 degrees below 0. The elevation of a hot air balloon is 8 meters. A student's class average decreases by 8 points.
plzz help ill give brainliest
Answer:
- The temperature is 8 degrees below 0
- A student's class average decreases by 8 points.
Answer:
The temp is 8 degrees below 0, a student's class average decreases by 8 points
Step-by-step explanation:
a puppy gaining 8 pounds is positive
the temp is 8 degrees below 0 which is negative
the elevation of a hot air balloon is 8 meters above the ground
A student's class average decreases by 8 points = negative
The value -8 is negative and it doesn't say you have to only select one answer
8/9i+12=2/9i+34 (solve for a)
Answer: I=33, O and when you said solve for a I don’t see a, I see i and that all...if you know what I mean
Step-by-step explanation: hope this help
Mrs. Safar purchases a bedroom set for $1600. Five percent sales tax is added to the purchase price and she must also pay a $60 delivery fee. If Mrs. Safar pays for the total cost of the bedroom set in 12 equal payments, how much is each payment? MAFS.7.EE.2.3
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur?
Answer: 120
Step-by-step explanation:
Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.
LengthWidth=scaleactual=4l=scaleactual=8w
Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.
LengthWidth=4l=1160=8w=1160
Next, cross multiply each equation.
LLWW=4×160=640 feet=8×160=120 feet
Then, to find the area of the display, multiply length times width.
The actual size of the dinosaur is 90 feet.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A model of a dinosaur is 3.75 feet,
and the scale-factor for the actual dinosaur is 1:24.
So,
the size of the actual dinosaur = model size x the scale-factor
The size of the actual dinosaur = 24 x 3.75
The size of the actual dinosaur = 90 feet.
Therefore, the actual size is 90 feet.
To learn more about the scale factor;
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Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points
Answer:
[tex]14[/tex] units
Step-by-step explanation:
Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!
Simplify The Following: -4h + 22 + 6h -7
Answer:
2h + 15
Step-by-step explanation:
-4h + 22 + 6h -7
2h + 22 - 7
2h + 15
In the figure above, PQRS is a circle. If PQT and SRT
are straight lines, find the value of x.
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]
[tex]81^\circ+m\angle QRS=180^\circ[/tex]
[tex]m\angle QRS=180^\circ-81^\circ[/tex]
[tex]m\angle QRS=99^\circ[/tex]
Now, SRT is a straight line.
[tex]m\angle QRT+m\angle QRS=180^\circ[/tex] (Linear pair)
[tex]m\angle QRT+99^\circ=180^\circ[/tex]
[tex]m\angle QRT=180^\circ-99^\circ[/tex]
[tex]m\angle QRT=81^\circ[/tex] ...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]
[tex]x=81^\circ+22^\circ[/tex]
[tex]x=103^\circ[/tex]
Therefore, the value of x is 103 degrees.
Is -3x+5=-3x+8 infinate many solutions
If 3x−y=12, what is the value of
8x
2y
Answer:
[tex]8x=32\\2y=-24[/tex]
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
[tex]3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24[/tex]
(3x +7x² + 2x + 3) + (x + 1)
Answer:
=7x2+6x+4
Step-by-step explanation:
3x+7x2+2x+3+x+1
Combine Like Terms:
=3x+7x2+2x+3+x+1
=(7x2)+(3x+2x+x)+(3+1)
=7x2+6x+4
Answer:
=7x2+6x+4
The sum of five consecutive integers is 0. Find the integers. Show your solution.
Does anyone know the answer?
Answer:
-2, -1, 0, 1, 2.
Solution
Let x be the middle term of this sequence of 5 terms.
Then the sequence is x-2, x-1, x, x+1, x+2.
The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.
Thus 5x = 0.
It gives x = 0.
So the sequence is -2, -1, 0, 1, 2.
Susanna's family traveled 5 7 of the distance to her grandmother's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answer:
1/7
Step-by-step explanation:
Please write these fractions as 5/7 and 1/2. 5 7 and 1 2 are incomplete and confusing.
On Saturday the distance traveled was 5/7 of the total distance.
2/7 of that total was left for Sunday. Half of 2/7 is 1/7.
1/7 of the total distance was traveled on Sunday.
Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?
2hours
Step-by-step explanation:
2 hours
The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?
Answer:
5 - numerator
6 - denominator
What is 4x^2+14x+6=9x^2-6x+1 answer
Answer:
20x+5=5x^2
Step-by-step explanation:
For this type of albreic question you want to simplify
4x^2+14x+6=9x^2-6x+1
first you take the common integers(That might not be the right word)
4x^2+14x+6=9x^2-6x+1
+6x -1 -4x^2
20x+5=5x^2
You cannot simplify any further
