Answer:
The amount in the account after 3 years is $672.00
Step-by-step explanation:
Here, we want to use the compound interest formula
A = P(1 + r/n)^nt
A is the amount in the account after the given time
P is the principal which is the deposit amount = $600
r is the interest rate = 3.85% = 3.85/100 = 0.0385
n is the number of times interest is compounded yearly (since it is annually, n = 1)
t is the time in years = 3
Substituting these values;
A = 600(1 + 0.0385/1)^(3 * 1)
A = 600(1.0385)^3
A = $672
anyone help giving 5 stars
Answer:
! !
' .
.
.
, . <3
_░▒███████
░██▓▒░░▒▓██
██▓▒░__░▒▓██___██████
██▓▒░____░▓███▓__░▒▓██
██▓▒░___░▓██▓_____░▒▓██
██▓▒░_______________░▒▓██
_██▓▒░______________░▒▓██
__██▓▒░____________░▒▓██
___██▓▒░__________░▒▓██
____██▓▒░________░▒▓██
_____██▓▒░_____░▒▓██
______██▓▒░__░▒▓██
_______█▓▒░░▒▓██
_________░▒▓██
_______░▒▓██
_____░▒▓██
AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo
Answer:
El ángulo lo representaremos por A
Su suplemento es 180-A
A=3(180-A)
A=540-3A
3A+A=540
4A=540
A=540/4
A=135°
Step-by-step explanation:
135=3(180-135)
135=3(45)
135=135
The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.
Let's denote the measure of the angle as x.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.
According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:
x = 3( 180 - x )
Now, let's solve this equation to find the measure of the angle:
x = 3( 180 - x )
x = 540 - 3x
4x = 540
x = 540 / 4
x = 135
Therefore, the measure of the angle is 135 degrees.
To know more about supplement click here :
https://brainly.com/question/19568703
#SPJ2
The question is in Spanish question in English is :
If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Find two mixed numbers so that the sum is seven wholes and two eights and the difference is two wholes and four eigths
Answer:
Step-by-step explanation:
x + y = 7 + 2/8 = 58/8
x - y = 2 + 4/8 = 20/8
Add the equations together
2x = 78/8
x = 39/8
y = x - 20/8 = 19/8
x = 39/8 = 4⅞
y = 19/8 = 2⅜
A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each
Answer:
Speed of sidekick : 600
Speed of superhero : 500
Step-by-step explanation:
x = sidekick speed
speed of hero = x-100
Time of hero = -36
1800/(x-100) = (1800/x) + 0.6
That equations solves to x = 600 and x = 500 or -500
The given difference in speed and the arrival time, as well as the
distance traveled, gives the speeds as 500 and 600 km/hr.
Response:
The speed of the superhero is 500 km/hr.The speed of the sidekick is 600 km/hr.Which method is used to calculate the speed of the superhero, and the sidekick?The given parameters are;
Superhero's speed = 1800 km
Speed of the superhero = Speed of the sidekick - 100 km/h
The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours
Required:
The speed of the superhero and the sidekick
Solution:
Let v represent the speed of the superhero, we have;
v × (t + 0.6) = (v + 100) × t
v·t + 0.6·v = v·t + 100·t = 1800
0.6·v = 100·t
[tex]t = \dfrac{0.6}{100} \cdot v[/tex]
Therefore;
0.006·v² + 0.6·v - 1800 = 0
Which gives;
v² + 100·v - 300,000 = 0
(v - 500)·(v + 600) = 0
v = 500, or v = -600
The speed of the superhero is 500 km/hThe speed of the sidekick is 500 km/h + 100 km/h = 600 km/hLearn more about speed and velocity here:
https://brainly.com/question/14378093
PLEASE HELP
4. Nuts.com sells almonds for $
Answer:
Nuts.com sells almonds for money even though we can get them from walmart.
Step-by-step explanation:
who names their website Nuts.com
1. Consider the circle to the right,
Part A: Determine mzSBE.
Part B: Determine mob.
S
52
B
Answer:
m∠SBE = 26°, [tex]m\hat O B[/tex] = 126°
Step-by-step explanation:
The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.
Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.
Also, the angle at the center is twice the angle at the circumference.
Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)
2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)
2 * m∠SBE = 52
m∠SBE = 26°
2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)
2 * 63 = central angle
central angle = 126°
Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)
ty in advance for whoever does this. Find the range and put it on the graph. thank you <3
Answer:
Step-by-step explanation:
[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2
[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0
[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2
[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4
[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
Solve for e. 0.75(8+e)=2−1.25e0, point, 75, left parenthesis, 8, plus, e, right parenthesis, equals, 2, minus, 1, point, 25, e
e
=
Answer:Sep 7, 2011 — (a) For x = 1 the left-hand side is 4 and the right-hand side is 2. ... (e) The inequality is equivalent to n 2 n +4 2 0, i.e. n 2 2n 8 n +4 0, or 3n 10 ... (a) Cancel the factor 25ab. ... (d) Expanding the parentheses we get p ... The set of points that satisfy the inequality 3x + 4y 12 are those on or below the straight line
Step-by-step explanation:
Hope it helps
How do I find the geometric mean of 275 and 11??
Answer:
The geometric mean of x=275 and y=11 is 55
Step-by-step explanation:
A hexagon as all sides of length 2 cm. What will the area of the hexagon be, if it is enlarged with scale factor 3?
Answer: [tex]93.53\ cm^2[/tex]
Step-by-step explanation:
Given
The side of the hexagon is [tex]a=2\ cm[/tex]
If it enlarged with scale factor 3 i.e. each side is 3 times before
The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]
The area of the hexagon is
[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]
Putting values we get
[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]
Jeffrey has a wooden board that is 2/3 yards long. He wants to cut the board into pieces that are 1/9 yards long. How many pieces can he cut?
Answer: 6 boards
Step-by-step explanation: If you convert 2/3 into ninths by multiplying by 3/3 you will get 6/9. You can then easily see that 6/9 has 6 individual 9ths or 6 boards to cut.
It’s urgent please help
Answer:
domain is always the x values and y values are the range of x.
It's option A
Which property of multiplication is shown?
4 · 2 + 4 · 5 = 4 · (2 + 5)
Answer:
i think it is the most difficult one
Answer:
11 I think I'm not sure though
Helppppp I’m literally so confused this makes no sense
Answer:
#1: Alternet Exterior
#2: Corresponding
#3:Same Side Interior
#4:Alternate Interior
Step-by-step explanation:
(The Blue box in the image represent the inside/interior)
Hopefully the image helps!
Find the hcf of 27 and 36
Answer:
9
Step-by-step explanation:
If the sum of 37 and 12 x is 286, what is the value of x?
Answer:
x = 20.75
Step-by-step explanation:
37 + 12x = 286 <-- Subtract 37
12x = 249 <-- Divide by 12
x = 20.75
Matt saves 7 dollars every week in order to buy a guitar. Write an equation, using x for the independent variable and y for the dependent variable. If he saved for 19 weeks, how much money did he save?
Answer:
y = 7x
y = $133
Step-by-step explanation:
x = independent variable
y = dependent variable
y = 7x
Where,
y = total amount saved
x = number of weeks
7 = constant
When x = 19
y = 7x
y = 7 * 19
y = 133
y = $133
Determine number of solutions in system
Answer:
one solution;
x=-2.5
y=-1
The measure of angle R is 129 degrees,
What is the measure of angle S?
Answer:51
Step-by-step explanation:
Can someone help me find the measure of each angle in the diagram?
Answer:
we cant read the numbers cuz theyre too small
what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case
a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km
Answer:
a) 3 : 14
b) 4 : 15
c) 3: 4
d) 19 : 15
e) 53 : 25
Step-by-step explanation:
a)90 sec to 7min
We convert 7 mins to seconds
1 minute = 60 seconds
7 minutes = x seconds
Cross Multiply
x = 7 × 60 seconds = 420 seconds
Hence,
Our ratio is
90 seconds : 420 seconds
Divide both sit by 30
= 3 : 14
b)48min to 3hours
We convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x minutes
Cross Multiply
x = 3 × 60 minutes = 180 minutes
Hence,
Our ratio is
48 minutes : 180 minutes
Divide both sides by 12
4 : 15
c)2.5 days to 80hours.
We are converting 2.5 days to hours
1 day = 24 hours
2.5 days = x
Cross Multiply
x = 2.5 × 24 hours = 60 hours
Hence,our ratio
60 hours : 80 hours
Divide both sides by 20
3: 4
d)3 800mm to 3m
We convert 3 m to mm
1 m = 1000 mm
3 m = x mm
Cross Multiply
x mm = 3 × 1000 mm
x mm = 3000mm
Hence, ratio is
3800 mm : 3000mm
Divide both sides by 200
19 : 15
e)5300m to 2.5km
We convert km to m
1 km = 1000 m
2.5 km = x m
Cross Multiply
x m = 2.5 × 1000m
x = 2500m
Hence, our ratio
5300m : 2500m
Divide both sides by 100
53 : 25
If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?
Answer:
$51.56
Step-by-step explanation:
Given data
We are given that
12 gallons of gas cost $37.50
Required
The cost of 16.5 gallons
If 12 gallons of gas cost 37.50
then 16.5 gallons will cost x
cross multiply
12x= 16.5*37.5
12x= 618.75
x= 618.75/12
x= $51.56
Hence 16.5 gallons will cost $51.56
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answer:
13
Step-by-step explanation:
P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.
Answer: 80 is the number of cupcakes for which the profit is equal to 0
Step-by-step explanation:
The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
What is Profit?Profit is the amount which we earned after selling something at a price more than its cost price.
We have,
P(q) = -0.01 (q - 250) (q- 80)
Where,
P(q) = profit earned by a cupcake bakery in dollars
q = cupcakes produced
So,
Now,
We have to find out the context of 80 in given equation,
So,
Lets substitute q = 80, in the given equation,
i.e.
P(q) = -0.01 (q - 250) (q- 80)
⇒
P(80) = -0.01 (80 - 250) (80- 80)
We get,
P(80) = -0.01 (- 170) (0)
i.e.
P(80) = 0
So, 80 is a number of cupcakes for which the profit is equal to $0.
Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
To know more about profit click here
https://brainly.com/question/21297845
#SPJ2
The two rectangles are similar. What is
the length of x?
Answer:
x = 5
Step-by-step explanation:
The two rectangles are similar. What is
the length of x?
For the bigger rectangle
Length = 5
Width = 5
For the smaller rectangle
Length = x
Width = 5
We find x using Proportion
Width/Length
= 5/5 = 5/x
Cross Multiply
5x = 5 × 5
x = 25/5
x = 5
In Joe's fish tank, there are 9 goldfish and 13 snails. How does the ratio 9:22 describe Joe's fish tank?
A. The ratio 9:22 compares the number of snails to the total number of animals.
B. The ratio 9:22 compares the number of snails to the number of goldfish.
C. The ratio 9:22 compares the number of goldfish to the number of snails.
D. The ratio 9:22 compares the number of goldfish to the total number of animals.
Please answer soon, I'm on a time limit.
which answer choice ?
The scatter plot and line of best fit below show the length of 7 people's femur (the
long leg bone in the thigh) and their height in centimeters. What is the meaning of
the y-value on the line when x = 40?
Answer:
An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.
Step-by-step explanation:
The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.
x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.
Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm
The regression model compares the relationship between the independent and dependent variable. Here, Femur length and height The height of the individual with a femur length of 40 cm would be about 160cm.Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.
Learn more : https://brainly.com/question/793635
A square has a perimeter of 28
inches. Another square has a
perimeter of 20 inches. What
is the difference of their
areas?
Answer:
24
Step-by-step explanation:
To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.