Answer:
21.96 ; 24.72
Step-by-step explanation:
Given that :
Give the equation:
A(t) = 700(1.03)^t
A.)
Average rate of change over the first 4 years ;
(t=0 to t=4)
At t = 0
A(0) = 700(1.03)^0 = 700
A(1) = 700(1.03)^1 = 721
A(2) = 700(1.03)^2 = 742.63
A(3) = 700(1.03)^3 = 764. 9089
A(4) = 700(1.03)^4 = 787.856167
[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4
= 87.856167 / 4
= 21.96404175
= 21.96
Over the 2nd 4 years :
A(4) = 700(1.03)^4 = 787.856167
A(5) = 700(1.03)^5 = 811.49185201
A(6) = 700(1.03)^6 = 835.8366075703
A(7) = 700(1.03)^7 = 860.911705797409
A(8) = 700(1.03)^8 = 886.73905697133127
[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4
= 98.88288997133127 / 4
= 24.72
The sum of three times a number and six is nine more than the number
Find the following amount What is 25% of 4
Answer:
1
Step-by-step explanation:
Answer 1
Step-by-step explanation:
This is so important please help
Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
[tex]r=\sqrt{(2-(-1))^2+(-4-0)^2}[/tex]
[tex]r=\sqrt{(2+1)^2+(-4)^2}[/tex]
[tex]r=\sqrt{(3)^2+(-4)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
Now, the equation of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
[tex](x-(-1))^2+(y-0)^2=5^2[/tex]
[tex](x+1)^2+y^2=25[/tex]
Therefore, the first option is correct, i.e., [tex](x+1)^2+y^2=25[/tex].
What is 4/3 as a mixed number?
Answer:
1 1/3
Step-by-step explanation:
Answer:
1 1/3 !
Step-by-step explanation:
3/3 is one whole, so 4/3 is one whole plus 1/3 !! (1 1/3 !!)
i hope this helps !
Given the points M(−6,−4) and T(9,16) find the y-coordinate of the point Q on the directed line segment MT so that MQ:QT=2:3
Given the coordinates M (-6, -4) and T (9, 16)
If the coordinates are divided in the ratio 2:3 then a = 2, b = 3
The y coordinate of the point Q will be expressed as;
Y = ay1+by2/a+b
From the coordinates, y1 = -4 y2 = 16
Y = 2(-4)+3(16)/2+3
Y = -8+48/5
Y = 40/5
Y = 8
Hence the y-coordinate of the point Q is 8
Easy work! Please click on the photo and do 5. 10. 14. And 16.Also it’s is easy but only for other people not me just for people asking.
Answer: the 1 is > the one below it is < the one next to it unknown
and the one next to it is > and the last one is =
branliyist please
Step-by-step explanation:
y+6=-2/5(x+9) how do you graph it in linear function?
like this...
Hope I helped you!Success!
Haven’t done geometry in a good while
Problem ID: PRABMTFA A solid with volume 12 cubic units is dilated by a scale factor of k. Find the volume of the image for each given value of k.
k=1/4
Answer:
Step-by-step explanation:
3/16
You can use the fact that you can think of the solid as made up of 12 cubes with side length of 1 unit.
The volume of the image of the dilated solid is for k = 1/4 is
3/16 cubic units
How can we interpret measurement of something?Remember that volume, area, length etc all are measured relatively.
If you are 1.7 meters tall, then you're height is measured relative to meters. This is called unit of the measurement. It means that if we collect 1 meter and 0.7 meters too,they together will be equally tall as you.
Similarly, if we say that a triangle has area of 40 square inches, then it means that its area is equal to 40 squares of 1 inch sides.
Using above understanding to find the volume of the dilated solidSince the original solid was of 12 cubic units. it means its volume was equal to the total volume of 12 cubes with 1 unit side length.
Now since the scale factor of the dilation is k, that means each of the cube got its side length multiplied by k
Now volume of 12 cubes with side length k units is given by
[tex]V = 12 \times k^3[/tex]
Since it is given that k = 1/4, we have:
[tex]V = 12 \times (\dfrac{1}{4})^3 = \dfrac{3}{16} \: \rm unit^3[/tex] now there are 3/16 cubes with 1 unit length.
Thus,
The volume of the image of the dilated solid is for k = 1/4 is
3/16 cubic units
Learn more about dilated volume here:
https://brainly.com/question/2919998
twice the difference of a number and 9 is equal to three times the sum of the number and 4
Answer:
Yes
Step-by-step explanation:
PLEASE PLEASE PLEASE ANSWER OFFERING BRAINILIEST
Mr. Carter is creating a sign for the football players to run through for the homecoming game. The scale of the
drawing and the scale are shown below. What is the area in square feet of the actual sign?
a. 13 square ft
b. 15.9 square ft
c. 18 square ft
d. 234 square ft
Answer:
D) 234 square ft
Step-by-step explanation:
The formula for area is: length x width.
The length is 9 in or (using the scale) 18 ft.
The width is 6.5 inches or (using the scale) 13 ft.
Multiply 18 x 13 to get 234 square ft.
Hope it helps!
solve each proportion algebraically. show your work. 6.1/x = 2/3
Answer:
x = 9.15
Step-by-step explanation:
6.1/x = 2/3
multiply both sides by x and 3
3(6.1) = 2x
2x = 18.3
divide both sides by 2
x = 9.15
Answer:
x=9.15
Step-by-step explanation:
6.1 x 3= X times 2
18.3 = X times 2
X times 2 =18.3
(X times 2) divided by 2 = 18.3/2
which gives the answer
x=9.15
A scale model of an object of 1 cm : 2 ft. The actual object is 11 feet tall. How tall is the model
Answer:
5.5 cm
Step-by-step explanation:
Plz help me I am bad at math!
Answer:
A.) 3 6/8Step-by-step explanation:
follow meplease
Answer:
5 3/8
-
1 5/8
= 3 3/4
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
3.75=3.75/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10 to the power of 2 = 100
3.75/1×100/100=375/100
Find the Greatest Common Factor (GCF) of 375 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
375 ÷ 25
_______ = 15/4
100 ÷ 25
Simplify the improper fraction,
=3 3/4
In conclusion,
3.75=3 3/4
please help, geometry!!
Answer:
(-5,3)
Step-by-step explanation:
The point (5,7) translated down 4 units gets to the point (5,3). If you reflect it over the y-axis, the x-coordinate becomes negative, and the y-coordinate stays the same. This gets you the point (-5,3)
Hope it helps and is correct!
(-4, 5) is the answer
What is 51.2% of 33?
Answer:
16.896
Step-by-step explanation:
Answer:
16.896
Step-by-step explanation:
Jason is buying a car priced at $15,000 that requires a down payment of 15 percent. How
much money does he need to come up with?
Answer:
12,750
hope this helped :)
Charlotte is getting balloons for a birthday she wants each ballon string to be 12 feet long if Charlotte wants 48 balloons how manny yards of string will she need
Answer:
576
Step-by-step explanation:
multiply 48 by 12 and I got 576
PLEASE HELP! ASAP PLEASE
Answer:
x = 45
Step-by-step explanation:
x = (360 - 135 * 2) / 2
x = (360 - 270) / 2
x = 90 / 2
x = 45
I need the answer to this problem please
A museum has 382 butterflies it wants to put in display
cases. Each case can hold 8 butterflies. How many
cases does the museum need?
Answer:D: 48
Step-by-step explanation:
el numero cero es entero positivo?
please help me please i really need help please
Answer:
-5a+3b
Step-by-step explanation:
3a+2b-8a+b=3a-8a+2b+b=-5a+3b
Answer:
-5a+3b
Step-by-step explanation:
1. Re-write the numbers next to their common variables 3a-8a+2b+b
Then add!
Find the perimeter of the triangle: A(5,3) B(2,-7) C(-1,5)
Answer:
perimeter ≅ 29.1 units
Step-by-step explanation:
Kya's house key is 5.2 cm long. How many millimeters long is her
house key?
Answer:
52 millimetres
Can somebody plz help me with this! Plzz I am struggling
Answer:
1=90
2=118
3=90
4=98
5=28
6=118
7=66
8=52
9=62
Step-by-step explanation:
The difference of the reciprocal of a number and 7/104 is 3/52 find the number
Answer:
Step-by-step explanation:
1/x - 7/104 = 3/52
1/x = 6/104 + 7/104 = 13/104
104/13 = x
Divide 4 1/2 by the following unit fractions.
1/8
Answer:
The answer is 36
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
92÷18
Applying the fractions formula for division,
=9×82×1
=722
Simplifying 72/2, the answer is
=36
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T = 2.5
Step-by-step explanation:
Hope this helps!
Answer:
T >2.5
Step-by-step explanation:
$25000 at 4.25% for 2 year
Answer:
Step-by-step
Monthly Payment $1,088.41
Total Interest Paid $1,121.77
Total Paid $26,121.77
Mark brainliest if this answer is correct please