Answer: $19,864.60
Step-by-step explanation:
The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.
Price at 6th year = Original price * ( 1 + rate) ^ number of years
12,045 = Og * ( 1 - 8%) ⁶
12,045 = Og * 0.606355001344
Og = 12,045 / 0.606355001344
Og = $19,864.60
Rate is subtracted because price was reducing.
Can someone help me with this question please??
Answer:
[tex]x = \frac{16}{3}[/tex]
Step-by-step explanation:
[tex]3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}[/tex]
On Monday, a museum had 600 visitors. On Tuesday, it had 740 visitors. Estimate the percent change in the number of visitors to the museum.
find two rational number between 5/7 and 11/12
We have
5/7 = 60/84
11/12 = 77/84
Let the rational numbers to be searched be x, then:
60/84 < x < 77/84
-> x belongs to {61/84; 62/84; ....... 76/84}
Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amount of time t in seconds
Answer:
The maximum height of the ball is: 14.0625ft
Step-by-step explanation:
The missing information is:
[tex]h(t) = 30t - 16t^2[/tex]
Required
The maximum height the ball attained
First, we calculate the time to reach the maximum height.
For a function: [tex]h(t) = at^2 + bt + c[/tex]
The maximum is: [tex]t = \frac{-b}{2a}[/tex]
So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:
[tex]t = \frac{-b}{2a}[/tex]
Where
[tex]a = -16; b = 30[/tex]
So:
[tex]t = -\frac{30}{2*-16}[/tex]
[tex]t = -\frac{30}{-32}[/tex]
[tex]t = \frac{30}{32}[/tex]
[tex]t = 0.9375[/tex]
The maximum height is then calculated as:
[tex]h(t) = 30t - 16t^2[/tex]
[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]
[tex]h(0.9375) = 28.125- 14.0625[/tex]
[tex]h(0.9375) = 14.0625[/tex]
PLEASE HELPPP
identify the solution to the system of equations
Answer:
x= y=2
Because that's why the lines intercepts
A rectangular room is 9 m long and 6 m broad. Find the number of
pieces of carpet each of 4 m long and 1.5 m wide to cover the floor of
the room. If the rate of cost of carpet is Rs 110 per metre, find the cost
of carpeting the floor.
Answer:
880
Step-by-step explanation:
Answer:
Rs. 3,960 is the cost of carpeting.
Which expression represents the complete factorization of x^3 + 4x^2 - 4x - 16?
A. (x^2 - 4) (x + 4)
B. (x + 2) (x - 2) (x + 4)
C. (x^2 - 4) (x + 2)
D. 4(x - 4) (x - 5)
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
Find the area of the triangle (photo is there)
Answer:
solution;
here;
we have;
base = 20m
height = 17m
Now;
we know;
area of triangle = 1/2*b*h
= 1/2*20*17 [1/2 = 0.5]
= 0.5 * 340
= 170m^2
Hope you got it !!!!
Answer:
170
Step-by-step explanation:
To find the area of a triangle, you just multiply the base by the height and divide by 2 .
In your problem, the base is 20 and the height is 17.
When you multiply those numbers, the answer is 340.
You then just have to divide that by 2, and you get 170.
Kevin is 30 years old. He wants to take out a 15-year level term insurance policy with a face value of $500,000. The monthly premium is $56. What will be his total cost over the 15-year period?
Answer:
$10,080
Step-by-step explanation:
Monthly premium = $56
So, yearly premium = $56 × 12 = $672
Time period = 15 years
Now, we can calculate the total cost for 15 years period by using following formula,
Total cost = yearly premium × Time period
By putting the value, we get
Total cost = $672 × 15
= $10,080
Hence, total cost for 15 years period is $10,080.
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
Jaleel wrote a book. He wants to print some copies for
his friends and family. The printing company charges a
one-time fee of $200, plus $2 for each printed book.
Is the number of books he prints a function of total cost?
Yes?
No?
PLEASE HELP ME I WILL HIVE BRAINLYEST
Answer:
Step-by-step explanation:
a). Points on a number line are,
x = -7, 1
Number of small blocks between x = -7 and 1 is 8.
Distance = 8
b). Difference between two points x = -7, 1 will be,
1 - (-7) = 1 + 7
= 8
-7 - 1 = -8
c). Absolute value of each difference,
|1 - (-7)| = 1 + 7
= 8
|-7 - 1| = |-8|
= 8
13.4 Area of Polygons
S cm
5. Find the area of the polygon.
5 cm
8 cm
-square centimeters
what two numbers multiple to -48 & add to -8
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8
Answer for 60 Points
Answer:
Measure of angle VWU=48°
Measure of angle SUT= 87°
Two pairs of vertical angles: SUT & VUW, VUS & WUT
Answer:
Measure of angle VUW=48° Measure of angle SUT= 87° Two pairs of vertical angles: SUT & VUW, VUS & WUT
Step-by-step explanation:
tnx for pionts
100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u dont beleive me, must be right only after ill give u them
Answer:
7x + 5
12x^2 + 20x
2
Step-by-step explanation:
1. (g + h)(x)
We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:
g(x) + h(x)
3x + 5 + 4x
7x + 5
2. (g * h)(x)
We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:
g(x) * h(x)
(3x + 5) * (4x)
We can distribute 4x to both terms:
3x * 4x + 5 * 4x
12x^2 + 20x
3. (g - h)(3)
We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
h(3) = 4(3)
h(3) = 12
Now, we can plug in these two values:
g(3) - h(3)
14 - 12
2
What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?
Answer:
8.6cm
Step-by-step explanation:
V = 4/3 pi r^3 = 334, solve for r = 4.30
double for diameter = 8.61
Step-by-step explanation:
you can see there
just click the photo
supply the reason................
Answer:
Step-by-step explanation:
2.CB≅CB (being common side)
3.triangle CAB≅ triangle BDC(by ASA axiom)
4.length AB≅ length CD( Given )
The equation of a line is y= 4x - 1 and the point (3, p) lies on this line. Determine the value of P
Answer: 11
Step-by-step explanation:
Given
The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]
So, point must satisfies the line i.e.
[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]
Therefore, the value of p is 11.
A recipe for baba ghanoush cause for twice as much olive oil as lemon juice
Which expression represents the amount of olive oil needed for 4 tablespoons of lemon juice choose ALL that apply
A). 4•4
B). 4+2
C). 4•2
D). 4+4
Answer:
A. 4.4 I am doing good today
What is the height of the flagpole?
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4
Solve −18=6+6x .
x = __
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
In a sale, the selling price of a printer is reduced by 20%. Find the sale price of the printer,given that its normal selling price is 3600.
Normal price - 3600
offer on printer = 20% = 3600×20/100 = 720
The sale price of printer = 3600 - 720= 2880
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
how to convert 2km into SI unit
Answer:
km is a unit of distance
and si unit of distance is meters.(m)
1 km = 10³ m
•°• 2 km = 2 × 10³ m
in SI unit 2km = 2 × 10³ m or 2000 m
2. What is the median (measure of center)
number of TVs in Mr. Zimmerman's Class?
type here
Answer:
3
Step-by-step explanation:
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
What is the midline equation of the function g(x) = 2 cos(7x + 5) + 1?
Answer:
y = 1
Step-by-step explanation:
The midline of h(x) = 2 cos(7x + 5) is y = 0.
The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.
Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.