Answer:
If simple interest: $5,300
If compounding interest: $5,304.50
Step-by-step explanation:
**As you haven't specified if the interest is simple or compounding, I have provided both**
Simple interest[tex]\sf Formula:A = P(1 + rt)[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = 5000r = 3% = 0.03t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A = 5000(1 + 0.03 \cdot 2)[/tex]
[tex]\implies \sf A = 5000(1.06)[/tex]
[tex]\implies \sf A = 5300[/tex]
Compound interest[tex]\sf Formula:A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = 5000r = 3% = 0.03n = 1t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=5000(1+\frac{0.03}{1})^2[/tex]
[tex]\implies \sf A=5000(1.03)^2[/tex]
[tex]\implies \sf A=5304.5[/tex]
If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
After find the area of one side, we proceeded to find the length and with as
Length = 10.95 feet width = 10.95 feet
Mensuration of ShapesGiven Data
Height of the Room = 10 feetArea of 4 sides of the room = 480 ft^2If the area of 4 side = 480 ft^2
Area of 1 side will be = x
Cross multiply we have
x = 480/4
x = 120 ft^2
Let us find the length and width of the room
x = √120
x = 10.95 feet
hence Length = 10.95 feet
width = 10.95 feet
Height = 10 feet
Learn more about area of shapes here:
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Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat
Answer:
Step-by-step explanation:
the 2 friend eat 5/8
QUESTION 1 of 10: If you pay a total of $400 for your social media campaign, and you agreed to pay $0.20 per click, how many clicks did you
get?
a) 80
b) 160
c) 1,200
d) 2,000
Answer:
d. 2,000
Step-by-step explanation:
400 (total) / 0.20 (per click) = 2,000
Solve for m. 2 = m /3 − 2
Answer:
12
Step-by-step explanation:
Add 2 to both sides, giving 4 = m/3Multiply both sides by 3, giving 12 = mDetermine the type of triangle that is drawn below.
Answer:
equalateral
Step-by-step explanation:
hope this helps
Let f(x)=12x^5-36x^4-6x^3 and g(x)=6x^2. Find f(x) over g(x)
Answer:
GCF = 6{x}^{3}6x
step 1. 6{x}^{3}(\frac{12{x}^{5}}{6{x}^{3}}+\frac{-36{x}^{4}}{6{x}^{3}}+\frac{-6{x}^{3}}{6{x}^{3}})
step 2. 6x3x6x3x12x5+6x3−36+4-6x3=3,888-32
step 3. 3,888-32=3,856
Step-by-step explanation:
your answer is 3,856 hope this helps
difference of two terms 4x-8 to product of two factors
Answer:
4 × (x - 2)
Step-by-step explanation:
we want to transform 4x - 8 from a difference of two terms into a product of two factors :
4x - 8 is a the difference of the terms 4x and 8
4x - 8 = 4x - 4×2 = 4 × (x - 2)
4 × (x - 2) is the product of the two terms 4 and x - 4
pls help bru i need help
Answer: I beleive that the systems of transformation are that
Figure JKLM to Figure J' K' L' M' is a Rotation
Figure J' K' L' M' to Figure J" K" L" M" is a Dilation
Step-by-step explanation:
9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm
Answer: 22.1 cm^2
Step-by-step explanation:
I just took the practice :)
how would you change these equaions to y=mx+b form?
7x + 9y = 1
14x + 18y = 2
Answer:y=-7/9x+1/9 and y= -7/9x + 1/9
Step-by-step explanation:
how do i find the area of parts of circles?
Answer:
Explanation below
Step-by-step explanation:
The equation for the area of a circle is pir^2
To find the area of parts of a circle you would do as the following examples:
the area of half a circle is (1/2)(pir^2)
the area of a quarter of a circle is (1/4)(pir^2)
the area of a third of a circle is (1/3)(pir^2)
the area of a tenth of a circle is (1/10)(pir^2)
If two number cubes are rolled what is the probability of rolling two numbers with a sum less than or equal to 10
Answer:
[tex]p = \frac{11}{12}[/tex]
Step-by-step explanation:
If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)
According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result
Then
The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12
PLEASE HELP! MATH QUESTION
Answer:
the midline is at f(x)=0
it takes the ball 2 s to complete a cycle
100 points
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
The length of the diagonal of Stacy's ceiling is 46,7.
What is the Pythagoras theorem?Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
By using Pythagoras theorem;
[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]
By using trigonometry;
[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]
Hence, the length of the diagonal of Stacy's ceiling is 46,7.
learn more about the Pythagoras theorem here;
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An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?
Pls help ..
No trolls pls I need this-
Answer:
1800 square feet
Step-by-step explanation:
Area of composite figure
Figure 1:
length = 27 ft
Width = 24 ft
Area of figure1 = length * width
= 27 * 24
= 648 square feet
Area of figure II:
length = 27 ft
Widht = 32 ft
Area of figure II = 27 *32
= 864 square feet
Area of figure III:
base = 18 ft
height = 32 ft
[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]
[tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]
Area of composit figure = 648 + 864 + 288
= 1800 square feet
The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude? One gym charges $75 per month. Each gym charges $75 per month. Both gyms charge the same monthly rate and the same membership fee. Both gyms charge the same monthly rate, but not the same membership fee.
Answer:
We want to solve a system of linear equations, we will get that the solutionis (8, -22)A system of equations is a group of equations that we must solve simultaneously. Here we have two lines defined by tables:line 1:x y-4 26-2 180 102 2line 2:x y-4 14-2 80 22 -4Remember that a line is written as:y = a*x + bWhere a is the slope and b is the y-intercept.We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)And we know that the line passes through (0, 10), then the y-intercept is equal to 10.y = -4*x + 10For line 2 we can use the points (0, 2) and (2, - 4), so we get:And the y-intercept is y = 2, then the line is:y = -3*x + 2Now we must solve:-4*x + 10 = -3*x + 210 - 2 = 4x - 3x8 = xNow we evaluate x = 8 in any of the two lines:y = -3*8 + 2 = -22Then the solution of the system is (8, -22)
What is the total amount of screen that Alice will need for her habitat?
Give an exact answer (do not round).
Answer:
SA = 3.04 m²
Step-by-step explanation:
→ Find: Surface Area (SA)
SOLUTION:
→ SA = 2(1x0.8) + 2(0.4x0.8) + 2(1x0.4)
→ SA = 1.6 + 0.64 + 0.8
↓
SA = 3.04 m²
18) 2(NH4)3PO4
# of
molecules:
# of
elements:
Name of element:
# of atoms:
Total # of atoms:
The #2 is a
(coefficient or subscript)
Answer:
3(14+4)+28+64 = 54+92 = 146 gm/mol
Step-by-step explanation:
Name of elements : 1) Nitrogen
2) hydrogen
3) phosphorus
4) oxygen
What is the number of x-intercepts of the graph of the function f ( x ) = 25 x 2 + 4 ?
Answer:
0.
Step-by-step explanation:
For x-intercepts:
25x^2 + 4 = 0
x^2 = -4/15
There are no real square roots of a negative value, so there are no x-intercepts.
please find the area of the shaded region
Answer:
30.9 yd^2
Step-by-step explanation:
Area of square - area of circle = shaded area
12 * 12 - pi (6)^2 = shaded area
Please Help! will give brainlest!
Step-by-step explanation:
sin²zeta + cos²zeta = 1 .....1
sin²zeta - 5coszeta - 5 = 0 .....2
.......1 - .......2
cos²zeta + 5coszeta = 1
I only know just this ....
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!
Answer: the y intercept is 4 and there is no x intercept
Step-by-step explanation: the intercept is where on the line it connects, on the y line, it touches 4 and it doesnt touch the x line
An=6•(-1/4)^(n-1). The app won’t scan this problem please help
The decimal 132.64 written in expanded form is ______.
Describe the length and width of a rectangle that has the same area as the one below, but a different perimeter.
the area of both rectangles is 34yd²
hope it really helps...!!!
what is the mean of 25 31 12 38 12 15
Answer:
22.1666666667 ~ 22.17 (This should be rounded)
Step-by-step explanation:
The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.
25+31+12+38+12+15/6 = mean
All the numbers added up should equal 133
You need to divide the sum by 6 since that is how many numbers that are in your data set.
The Mean of the Data set is 22.1666666667 which is approximately 22.17
the sum of 2 thousands, 11 hundreds, 8 tens 2 ones=
Answer:
answer is 3182
Step-by-step explanation:
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the picture is below
Answer:
-7j - k - 1 **Answer Choice B**
Step-by-step explanation:
10k + 17 - 7j - 18 - 11k
You need to find a simplified equation that is equivalent to this.
First, combine like terms (meaning coefficients with coefficients and numbers with numbers).
10k -11k + 17 - 18 -7j
-k - 1 - 7j
Rewritten:
-7j - k - 1
Answer Choice B is correct.
jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??
Answer:
216pops.
Step-by-step explanation:
If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks