Answer:
FV= $10,342.64
Step-by-step explanation:
Giving the following information:
Initial Investment (PV)= $2,500
Interest rate (i)= 0.095/12= 0.00792
Number of periods (n)= 15*12= 180
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,500*(1.00792^180)
FV= $10,342.64
Please help me and show work please
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Since the scale is in equilibrium, both sides must be equal. Therefore, we have the following equation:
[tex][\text{Left Side} ]3x+3=[\text{Right Side}]9[/tex]
Solving for [tex]x[/tex]:
[tex]3x+3=9,\\3x=6,\\x=\boxed{2}[/tex]
Answer:x=2
Step-by-step explanation: try to first set up an equation. First we can see the scale is balanced so we know each side is equal to each other. You have 3 x boxes and 3 circles so our first side will be 3x+3. Now let’s move onto the second side. It has 9 circles so 3x+3=9. Now let’s solve!
Subtract 3
3x=6
Now divide by 3
X=2
Hope this helps
Select the equivalent expression.
(6-4.8-7)-°
-2
Help me out please???
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = 14.
Hi I need help please
Answer:
Trapezoid. Big to small = 3:1
Square. Enlargement
Step-by-step explanation:
base 1 of trapezoids respectively big to small are 6:2 or 3:2
The purple shape is an enlarged form of the black square.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
just need a bit of help
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
Find the equation of a line from the table:
X) (y)
6 14
7 17
8 20
9 23
10 26
A. Y= 3x + 4
B. Y= 2x + 4
C. Y= 2x - 4
D. Y= 3x - 4
Find the value of each trigonometric ratio
№3
[tex]\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}[/tex]
Answer: D (3/5).
№4
[tex]\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}[/tex]
Answer: C (4/5).
№5
[tex]\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}[/tex]
Answer: D (4/3).
Answer:
3.) Sin C = option D, [tex]\frac{3}{5}[/tex]
4.) Cos A = option C, [tex]\frac{4}{5}[/tex]
5.) Tan C = Option D, [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
3.) Sin C = [tex]\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}[/tex]
4.) Cos A = [tex]\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}[/tex]
5.) Tan C = [tex]\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}[/tex]
Hope this helps!
plz solve it CORRECTLY step by step plz
Answer:
Step-by-step explanation:
area of circle=π[tex]r^{2}[/tex]
=22/7*[tex]21^{2}[/tex]
=22/7*441
=9702/7
=1386 [tex]cm^{2}[/tex]
Answer:
1386cm sq
Step-by-step explanation:
formula to find area of circle is 22/7*radius sq
which is 22/7 * 21 * 21
= 22 * 3 * 21
= 1386
Hope this is helpful. Please mark brainliest....
If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to "complete the square"?
Answer:
49
Step-by-step explanation:
the number would simply be
14÷2=7
7²=49
What value(s) for n will make this expression true?
3.5 and -3.5
3.5 only
nl = 3.5
0 and 3.5
-3.5 only
The point (-8,0) reflected in the x-axis is
Answer:
That would be (8,0) my good sir ( ma'am )
Step-by-step explanation:
Have a nice day
Log(10) u = 3/2 log(10) 4
u = 8
Step-by-step explanation:
log(10) u = log(10) 4^(3/2)
or
u = 4^(3/2)
= [sqrt(4)]^3
= (2)^3
= 8
Please help me solve this problem
Answer:
72 in²
Step-by-step explanation:
lateral area: the surface area of a 3D figure, but excluding the area of any bases
the lateral area of this prism is the sum of the three rectangular sides.
calculate the third side of the triangle first because it's also the side of one of the rectangle:
√(5² - 4²) = 3
4 × 6 + 5 × 6 + 3 × 6 = 72
A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute.
A) What percentage of the tub will be filled after 6 minutes.
B) How many minutes will it take for the tub to be 75% full?
Answer:
A) 24 ( 4*6)
B) 15 ( 75%of 80 is 60...
60÷4 is 15)
Answer:
The answer is 30%
Step-by-step explanation:
4 times 6=24
24 divided by 80 times 100 is 30
(That's also how to find your percentage on a test)
Integration of ∫(cos3x+3sinx)dx
Answer:
[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx . Now , Rewrite using du and u .[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]
URGENT... please help
7.
Reason The dot plot shows the numbers of pages students
in a class read during their dedicated reading time.
A. How many students are in the class?
B What percent of students read more than 6 pages?
Explain your reasoning
Pages Read During
Dedicated Reading Time
What fraction of the students read less than 5 pages?
D. How many total pages did all of the students read? Show your work
id speaker notes
Step-by-step explanation:
7equitacion h< y ⚽ de los siguientes dominios
You went to a bake sale and bought a whole bunch of
yummies!
Cookies were $1 and Brownies were $2. You spent
$13 total.
What are three combinations of cookies and brownies
that you could have gotten?
Write an equation that represents this situation.
Answer:
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Step-by-step explanation:
1) You can buy 4 brownies for $2 each = 2*4 = $8
The rest you can buy cookies = 5 cookies = $5
$8+$5=$13
2) You can buy 5 brownies and 3 cookies = $10+$3 = $13
3) You can buy 3 brownies and 7 cookies = $6+$7=$13
Equation: -
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Find the measure of each angle indicated (quadrilaterals)
Answer:
The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.
Step-by-step explanation:
Answer:
its 75
parallel angle degrees always should be 360
At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much
would 2 pretzels and a corn dog cost??
A car cost $19,956 How much will it cost a company to buy nine cars for its salespeople?
Answer:
179,604
Step-by-step explanation:
MARK ME BRAINLIST
Answer:
It will cost the company $179,604.
Step-by-step explanation:
Multiply the cost of 1 car by the number of cars needed:
19,956 × 9
179,604
What is the measure of Z ABC ? B 60° 60° c
Answer:
60°
Step-by-step explanation:
If it a equilateral triangle
Find the quotient for 5,600÷8
Answer:
700
Hope this helps!!
Answer:
700
Step-by-step explanation:
find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5
I really need help plsssssssssssssss help
Answer:
first spot 10, second 16, third 18, fourth 22
Answer:
The expression that represents the table is
y=4+2x
when x=3
y=4+2(3) = 10
When x=6
y=4+2(6)= 16.
Do this for all the values of x and you'll get the corresponding value for y
10
16
18
22.
Your answer would be
Select the graph of y = tan x
Answer:
Graph B
Step-by-step explanation:
Answer:
B) is correct
Step-by-step explanation:
Clark has two 16-ounce cans of corn. He uses 18 ounces of it to
make a corn soup and the rest to make a casserole.
a. How many ounces of corn did he use to make the casserole?
Answer:
14
Step-by-step explanation:
Answer:
14 Ounces
Step-by-step explanation:
16 x 2 = 32 Ounces of corn
32 - 18 = 14 Ounces
please help me. justify your answers!
Answer:
g. True
h. False
i. False
Step-by-step explanation:
g.
[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]
This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]
If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]
The numerator is 1 * 1 which is 1
And then the denominator is 7 * 2 which is 14
That would give you [tex]\frac{1}{14}[/tex]
h.
The products of two reciprocals is 0
This is not true
Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.
Ex: [tex]\frac{2}{8}[/tex]
Its reciprocal is [tex]\frac{8}{2}[/tex]
So multiply them together
[tex]\frac{2}{8}* \frac{8}{2}[/tex]
2 * 8 = 16
8 * 2 = 16
[tex]\frac{16}{16} = 1[/tex]
i.
A whole number does not have a reciprocal
This is incorrect. If you think about it, a whole number is just the number, over 1
Ex: [tex]\frac{6}{1}[/tex]
This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.
If you an write it as a fraction, it has a reciprocal.
The reciprocal in this case would be [tex]\frac{1}{6}[/tex]
I hope this helps, don't be afraid to reach out with any further questions!
Answer:
T, F, F
Step-by-step explanation:
find the slant height of a cone whose height is 15 cm and whose radius is 8 cm
Answer:
Right circular cone
Solve for slant height
l=17cm
r Radius
8
cm
h Height
A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall
Answer:
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Step-by-step explanation:
Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.
To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?
Proof -
From the given information, the figure becomes
Triangle ABC and Triangle DBE are similar triangle
AC/DE = BC/BE
⇒h/6 = 200/(200-x)
⇒h = 1200/(200 -x)
Now,
Differentiate h with respect to t, we get
[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]
Now,
If the rate of the tip is moving down the wall
At x = 50 feet, dx/dt = 30 feet per second
So,
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]
So, we get
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]