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 seabird is 28 meters above the surface of the ocean. What is its elevation?
Answer:
The elevation is 28 meters.
Step-by-step explanation:
This is pretty obvious because it says that the bird is above the ocean, not below. So, it is positive.
Hope this helps! :)
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
Which story shows 1/3 divided by 5?
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answer:
63+38=101
Step-by-step explanation:
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
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Convert the following to a percentage: $0.40 out of $2.50
Answer:
16%
Step-by-step explanation:
Solution for 0.40 is what percent of 2.50:
0.40:2.50*100 =
(0.40*100):2.50 =
40:2.50 = 16
Answer:
16%planation:
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.
Answer:
27x + 45 + 9x
37x + 45
it's here
Find (3x+1)(x+4) using the table of products. Write your answer in standard form.
Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
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Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, [tex]0.47574x=2,792.79[/tex]
[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]
Hence, the property sold for $5,870.41.
2x-y+8z=13
3x+4y+52=18
5x-2y-72=20
Answer:
Answer is above (In the image).
Step-by-step explanation:
I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.
In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!
2x-y+8z=13 1️⃣
3x+4y+52=182️⃣
5x-2y-72=203️⃣
We first combine liked terms in equation 2 and 3.
2️⃣turns into 3x+4y=-34 let's call it 2️⃣'
3️⃣turns into 5x-2y=92 let's call it 3️⃣'
Then solve for x
3️⃣'*2
10x-4y=184
3️⃣+2️⃣
13x=150
x=150/13
Now substitute the x back into equation 2️⃣'
3*150/13+4y=-34
450/13+4y=-442/13
4y=-892/13
2y=-446/13
y=-223/13
Now we can substitute this back into 1️⃣ to solve for z
2*150/13- - 223/13+8z=169/13
523/13+8z=169/13
8z=-354/13
4z=-177/13
z=-177/52
This problem is kind of messy so let me restate my answer!
x=150/13
y=-223/13
z=-177/52
I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:
580 cm^2
Step-by-step explanation:
First, find the area of the front and back. 20*10=200
There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400
Then, the sides. 3*20=60*2=120
Then, the top and bottom 10*3=30*2=60
400+120+60=580
Answer:
420
Step-by-step explanation:
60+60+30+30+120+120
hope this helped :)
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answer:
Step-by-step explanation:
57x2/(12+7)=6
BCDE is a rhombus. Find the missing measures.
BC = 28 and BD = 32
CD =
FD =
EF =
EC =
Answer: CD=28
FD= 16
Step-by-step explanation:
The Value that you insert into a function is know as the?
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
X + 54 = 37 so X = ?
Answer:
x=-17
Step-by-step explanation:
x+54=37
-54. -54
x=-17
Fill in the blanks to write the fraction 3/4 as in different ways
Answer:
1.3/4 × 2/2 = 6/8
2.3/4 × 3/3 = 9/12
3.3/4 × 4/4 = 12 /16
4. 3/4 × 5/5 = 15/20
Plz help me with this question
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answer:
x = 3
y = 4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Probability refers to chance of occurrence of any event.
Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]
So,
Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]
Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]
Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?
Answer:
243 inches
Step-by-step explanation:
27 bracelets at 9inches each
9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup
Answer:
20%
Step-by-step explanation:
12-10=2
changed ÷ original x 100
2 ÷ 10 x 100
=20%
Write an equation that models the linear relationship in the graph below
Answer:
y=-4/7x+4
Step-by-step explanation:
hope this helps
Answer:
4/7+4=y
Step-by-step explanation:
y=mx+b