Answer:
5,120
Step-by-step explanation:
After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
How to calculate compound interest?The formula for compound interest is given:
[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]
Where:
A = the final amount,
P = the principal amount,
r = the annual interest rate (as a decimal),
n = the number of times the interest is compounded per year,
t = the number of years,
In this case, we have:
P = $3,000
r = 0.05
n = 1 (compounded annually)
t = 3
Plugging in these values, we get:
[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]
A = $3,000(1.05)^3
A = $3,000(1.157625)
A = $3,472.88
Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
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A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present
Answer:
which question is this referred to?
Can someone help me with these answers please
Answer:
7. 7x
8. -2v+19
9. 8p-26
10. 14y-5
11. 7m-13
12. -8k+25
13. -3w-13
14. -9c+27
15. m+4n
16.-7s
17. 6x-13y-24
18. 6h-16b
19. -9p+9q+12
20. 2k/5+ 31/4
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]
========================================================
Explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
The vertical asymptote is due to a division by zero error.
When x = 0, the denominator x(x+4) turns into 0 since
x(x+4) = 0(0+4) = 0*4 = 0
Similarly, when x = -4, the denominator is also zero
x(x+4) = -4(-4+4) = -4*0 = 0
So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.
This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]
What do these stand for
Answer:
Time and seconds
Step-by-step explanation:
I know its time and seconds because I go to school
Answer:
v(m/s) means velocity in meters per second and t(s) means time in seconds
Plss help this is due tmrr
Answer:
1) 17.80
2) 25.09
Step-by-step explanation:
1) From the diagram,
Opposite = x
Hypotenuse = 22
Angle of elevation = 54°
According to SOH trigonometry identity
sin theta = opposite/hyp
sin 54 = x/22
x = 22sin54
x = 17.798
Hence the value of x is 17.80 to the nearest hundredth
2) Opposite = 11
hypotenuse = x
Angle of depression = 26°
sin 26 = opp/hyp
sin 26 = 11/x
x = 11/sin26
x = 11/0.4384
x = 25.09
Hence the value of x to nearest hundredth is 25.09
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
I need help with geometry
Answer:
ASA congruency and corresponding sides of congruent triangles are congruent
Step-by-step explanation:
Translate the phrases to algebraic expressions.
The sum of 8 times a number and 3
Answer:
8x+3
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?
Answer:
7
Step-by-step explanation:
15 - 8 = 7
plz help meee 2 more problems and I am done
Answer:
Step-by-step explanation:
Figure 1,
EA and EB are the opposite rays.
EC bisects angle FEG.
a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]
(2x + 6) = [tex]\frac{1}{2}(40)[/tex]
2x + 6 = 20
2x = 14
x = 7
b). ED⊥AB
Therefore, m∠AED = 90°
m∠AED = 11y + 13 = 90°
11y = 90 - 13
11y = 77
y = 7
Figure 2,
NC bisects ∠WNB,
Therefore, ∠WNC ≅ ∠CNB
m∠WNC = m∠CNB
3v - 4 = 2v + 6
3v - 2v = 4 + 6
v = 10
Therefore, m∠WNC = x = (3v - 4)
x = 3(10) - 10
= 30 - 10
x = 20
a candy shop contains a total of 300 items there are 125 chocolates 97 cookies and T number of truffles write an equation that represents the situation
Given:
A candy shop contains a total of 300 items.
There are 125 chocolates 97 cookies and T number of truffles.
To find:
The equation for the given situation.
Solution:
We have,
Number of chocolates = 125
Number of cookies = 97
Number of truffles = T
Total items = [tex]125+97+T[/tex]
A candy shop contains a total of 300 items. So,
[tex]125+97+T=300[/tex]
Therefore, the required equation for the given situation is [tex]125+97+T=300[/tex].
20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Write the equation of a line parallel to the line y = 2x that passes through 0,4
Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.
1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.
y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.
2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.
3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).
She said I drove her away with my emotions
Which of the following is equal to the product of 32 and 1/4 ?
Hey there!
The answer to your question is 8
In math, the "product of" represents multiplication, so we multiply the 2 numbers.
32 x 1/4 = 8
Hope this helps! Good luck, and have a great day!
Can someone pleasee help or explain to me how u do this? I don’t really Understand ?
Maria and her friends ordered a pizza that cost $14.70. She paid $2.94 for her part. What percent of the total bill did she pay?
Answer:
14.70-2.94 = 11.76
11.76/14.70 = 0.8
0.8 X 100 = 80
100 - 80 = 20%
9/4 divided by 3/8 what the answer?
Answer:
6
Step-by-step explanation:
Factor the quadratic expression completely.
2x2 + 7x + 3
Answer:
(2x+1)(x+3)
Step-by-step explanation:
just remember to put a ^ when you do this 2x2 put it like this 2x^2
an you welcome and plz give me brainiest
Carrie is making a temporary ramp from the ground to the top of his patio so that he can roll a cart up to it to move furniture in. The surface of the patio is 3‘9“ above the ground and Gary wants the ramp to have a slope of no more than 0.375. What is the shortest horizontal distance he can have from the base of the patio to the base of the ramp
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The slope is rise/run. Using Gary's numbers, we have ...
m = rise/run
0.375 ≥ (3.75 ft)/run
run ≥ (3.75 ft)/0.375
run ≥ 10 ft
The shortest horizontal distance to the base of the ramp is 10 feet.
The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet
Answer:
C= 37.69ft
A= 113.09ft
Step-by-step explanation:
Circumference=
=37.69
Area=
Area = pi * 6 ^2
Area =113.09
C=242 use 22/7 as pie find the radius
Answer: r=38.5
Step-by-step explanation:
Use circumference equation 242=2(22/7)r
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?
Given :
The admission fee at a small fair is $1.50 for children and $4.00 for adults.
On a certain day, 2,200 people enter the fair and $5,050 is collected.
To Find :
How many children and how many adults attended.
Solution :
Let, number of children and adults attended are c and a.
So, c + a = 2200 ....1)
Now, fair collected is given by :
1.5c + 4a = 5050 ....2)
Putting value of a from equation 1) to 2), we get :
1.5c + 4( 2200 - c ) = 5050
1.5c - 4c = 5050 - 8800
2.5c = 3750
c = 1500
a = 2200 - 1500
a = 700
Therefore, 1500 children and 700 adults attended the fair.
PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER
-2(y+4)-2y >8
Answer:
-2(y+4)-2y >8
-2y-8-2y>8
-4y-8>8
-4y<8+8
When you move a number on the other side it changes the side then > will become <
-4y<16
-4y/-4<16/-4
y<-4
The graph shows the distance Julie walks over time. Does she walk at a constant or variable
speed? How fast
is Julie walking?
a. variable speed; 8 mi/h
b. constant speed; 2 mi/h
c. constant speed; 4 mi/h
d. constant speed; 8 mi/h
Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46
Answer:
A B D
Step-by-step explanation:
A 38+4=42
B 4+15=19
C 18= 20-2
D 32= 36-4
E 52-6=46
Find the vault of each variable
Alex started reading her book for 2 hours and 35 minutes one day and finished by reading 1 hour 52 minutes the next day. how long did it take her to read the entire book?
Answer:
4hour and 27 minute to finsh the entire book
Step-by-step explanation: