Answer:
They will have $1651 after two years.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
$1500 dollars into an account at an annual rate of 4.8%
This means that [tex]P = 1500, r = 0.048[/tex]
Interest compounded twice a month.
A year has 12 months.
So 12*2 = 24 compundings, which means that [tex]n = 24[/tex]
How much will they have after two years?
This is A(2).
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(2) = 1500(1 + \frac{0.048}{24})^{24*2} = 1651[/tex]
They will have $1651 after two years.
The Zamoras rent a storage room that is 10 feet wide, 12 feet long, and
8 feet high. How many cube-shaped boxes 1 foot on each edge can the
Zamoras store in the room?
Answer:
960 cubes
Step-by-step explanation:
To find how many cubes of side 1 foot can be contained in the room, we have to find the volume of the storage room and then, divide by the volume of the cube.
The storage room is in the shape of a rectangular prism, hence, its volume is:
[tex]V = L * W * H[/tex]
where L = length
W = width
H = height
The dimensions of the storage room are:
10 feet wide, 12 feet long, and 8 feet high
Hence, its volume is:
[tex]V = 10 * 12 * 8 = 960 ft^3[/tex]
The volume of the cube of side 1 foot is:
[tex]V = S^3\\\\V = 1^3 = 1 ft^3[/tex]
Hence, the number of cubes that can be contained in the storage room is:
960 / 1 = 960 cubes
960 cubes can be stored in the storage room.
Michael is finding the area of parallelogram ABCD. To do
this, he follows the steps in the table.
Step Draw a rectangle around parallelogram ABCD.
To solve the problem using these steps, what are the
dimensions of the rectangle he should draw?
ТУ
С
B
Step Find the area of the rectangle.
2
Step Find the area of the four right triangles created in the
3 corners of the rectangle.
Step Subtract the area of the right triangles from the area
4 of the rectangle.
D
-5-4-3
-1
A
2 units by 4 units
3 units by 2 units
4 units by 4 units
Answer:
It's option C) 4 units by 4 units
Step-by-step explanation:
I hope this helps
The dimensions of the rectangle that Michael should draw are 4 units by 4 units.
What is a rectangle?A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.
A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The dimensions of the rectangle that Michael should draw are:
Length = AB = CD = 4 units (horizontal side of the parallelogram)
Width = AD = BC = 4 units (vertical side of the parallelogram)
This creates a rectangle with dimensions of 4 units by 4 units.
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From the top of a lighthouse 55 feet above sea level, the angle of depression to a small boat is 11.3*. How far is the boat from the base of the lighthouse? *
Answer:
275.248 ft
Step-by-step explanation:
this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.
four hundred seventy-one of the one thousand contestants were girls. Girls made up what fraction of the contestants?
Answer:
The fraction is 470/1000, which can be simplified to 47/100, and that is 47%.
Step-by-step explanation:
Basically you take what is asked for and you divide it by the total amount.
470 is the amount of girls as contestants.
1000 is the total amount of contestants.
And that gives you the ratio 470/1000.
Answer:
Step-by-step explanation:
Use a concrete, pictorial, or algebraic model to solve each
equation. a. -2x + 7 = 16
Linda shoots an arrow at a target in an archery competition. The arc of the arrow can be modeled by the equation y = −0.02x2 + 0.65x + 4, where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow. How far from Linda does the arrow hit the ground? Round to the nearest tenth.
Answer:
Linda was 37.8 m away when the arrow hit the ground
Step-by-step explanation:
We are given that The arc of the arrow can be modeled by the equation :
[tex]y = -0.02x^2 + 0.65x + 4[/tex]
Where x is the horizontal distance (in meters) from Linda
y is the height (in meters) of the arrow.
Now we are supposed to find How far from Linda does the arrow hit the ground
So, y must be 0 when the arrow hits the ground
So, Substitute y = 0 in the equation :
[tex]y = -0.02x^2 + 0.65x + 4\\0 = -0.02x^2 + 0.65x + 4\\0.02x^2-0.65x-4=0\\0.02(x-37.79)(x+5.29)=0\\x=37.79,-5.29[/tex]
Since distance cannot be negative
So,Linda was 37.8 m away when the arrow hit the ground
Ross has a spinner that is split into eight equal sections numbered 1 through 8. He spun the spinner 1,104 times. Which of the following would be a good estimate of the number of times the spinner landed on number 6?
A.
291
B.
117
C.
209
D.
127
Answer:
D. 127
Step-by-step explanation:
Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.
Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.
A) 291/1104 = .264
B) 117/1104 = .106
C) 209/1104 = .189
D) 127/ 1104 = .115
Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.
Answer:
D, 127
Step-by-step explanation:
it would be d because if the spinners each have equal spots then you can divide it by 8. which gets you 138, but that isn't an option and its probability so its always around a number. so the closest one is 127 or D
Jon’s weight loss for each week of the month is 5 lbs., 2.5 lbs., and 2.5 lbs. He gained 3.5 lbs. the last week. If Jon originally weighed 198 lbs., how much does he weigh now? *
Answer:
191.5 lbs.
Step-by-step explanation:
His weight loss for each week of the month is:
Week 1: 5 lbs. Week 2: 2.5 lbs. Week 3: 2.5 lbs. On the final week he gained 3.5 Ibs.
We know his original weigh was 198 lbs. So subtract 198 from 10 (sum from adding his weight loss). You get 188 lbs. Finally add the amount of pounds he gained on the final week. 188 lbs. + 3.5 lbs. = 191.5 lbs.
Please mark as brainliest if you found helpful.
Jon's total weight loss for the month is 10 lbs., but he gained 3.5 lbs. the final week. This makes his total weight change 6.5 lbs. Thus, from his original weight of 198 lbs., his weight after a month is 191.5 lbs.
Explanation:To find out Jon's weight now, we must calculate the total weight change. Jon lost 5 lbs. in the first week, then 2.5 lbs. both in the second and third week. He, however, gained 3.5 lbs. in the last week. Therefore, the total change in weight is calculated as follows:
Weight loss in the first three weeks = 5 lbs. + 2.5 lbs. + 2.5 lbs. = 10 lbs. Total weight change = Weight loss - Weight gain = 10 lbs. - 3.5 lbs. = 6.5 lbs.Jon's weight after the month = Original weight - Total weight change = 198 lbs. - 6.5 lbs. = 191.5 lbs.So, Jon now weighs 191.5 lbs.
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Find the volume of a rectangular prism that is 16 cm in length, 12 cm in height, and 10 cm in width.
Solve for x using the zero product property. (x+3)(x+2) = 0
Answer:
x can be -3 or -2
Step-by-step explanation:
There are two binomials here (x+3) and (x+2). For the product to be 0, one (of both) have to be 0. For the first binomial to be 0, x must be -3. For the second to be 0, x must be -2.
Answer:
x=-3 and x=-2
Step-by-step explanation:
Since we are trying to find the two intersections points of the quadratic we solve for x.
x+3=0
-3
x =-3
Repeat to (x+2)
x+2=0
-2
x =-2
Answer plzzzzzz Quick
Answer:
2nd choice
Step-by-step explanation:
Answer:
600 is the right one
Step-by-step explanation:
A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circle has a radius of 2 feet. A larger circle is 1 foot larger than the smaller circle. 1 pi inches squared 3 pi inches squared 5 pi inches squared 12 pi inches squared
Answer:
it is option 2 3 Pi inches squaredStep-by-step explanation:
good job :)
The answer is option B) A larger circle is 1 foot larger than the smaller circle.
How do u find the area in a circle?
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
What is Problem Solving?
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Use the given line and the point not on the line to
answer the question.
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
(-3.6, 0)
(-2, 0)
(0, -3.6)
(0, -2)
Answer isssss:
C
yw ily
Slope of 0 3 and 4 1
Answer:
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
The slope of (0,3) (4,1) =
[tex]\frac{-1}{2}[/tex]
Hope this helps :)
Easy Question, Easy Points
Topic: Volume
Answer:
a 125600 cm^3
b 327910.2 m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
a = 3.14 (20)^2 100
=125600 cm^3
b We know the diameter r =d/2 = 118/2 =59
V = pi r^2 h
3.14 (59)^2 *30
327910.2 m^3
Answer:
1) 125,600 cm³
2) 327,910.2 m³
Step-by-step explanation:
Volume of cylinder: pi × r² × h
1) 3.14 × 20² × 100
125,600 cm³
2) 3.14 × (118/2)² × 30
327,910.2 m²
Eduardo bought 3 liters of water, 2,750 milliliters of sports drink and 2.25 liters of juice. Which statement is true? Group of answer choices
Answer:
Step-by-step explanation:
What we will do is evaluate each of the statements:
Eduardo bought 3 liters of water. This statement may be true, because he was able to buy the water for multiple people or for another use.
2,750 milliliters of sports drink. It is false because the quantity is too small to drink.
2.25 liters of juice. As in the case of water, it can be true if it is to be taken in a group.
Identify asymptote of a function y = 2(3)^x+7 – 5
O y=7
O x=7
O y=-5
Ox=-5
The asymptote of the function is y = -5.
What are Vertical and Horizontal Asymptotes?A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches a.
Horizontal asymptote is the horizontal line y = d, such that the function approaches this line as the value of x approaches positive or negative infinity.
Given function is,
y = 2 (3)⁽ˣ⁺⁷⁾ - 5.
Horizontal asymptote of an exponential function y = kˣ is the line y = 0.
If the parent function is transformed and becomes something of the form y = akˣ + d, then the horizontal asymptote if the line y = d.
Here, the value instead of d = -5.
So the horizontal asymptote is y = -5.
Hence the correct option is C. y = -5.
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If the perimeter of square ABCD is 92 meters find the value of x
Answer:
23
Step-by-step explanation:
if X is a side
so squares have 4 sides that are the same so 92/4 equals 23
FP!!!!!!!!!!!!
(10 x 5 ) + 50 =
read comment plz
Answer:
(10 x 5) + 50 =
(50) + 50 = 100
Step-by-step explanation:
1. do parenthesis first
2. add them together
Answer:
(10*5)+50
50+50=100
Step-by-step explanation:
Hope I helped
What is the main idea of this passage from the
9/11 Commission Report?
O
The United States had no chance at stopping
the attacks and should not have tried to do
so.
The United States might not have been able
to stop the attacks, but it could have made a
better effort to do so.
Since the plotters were flexible and
resourceful, we cannot know whether any
single step or series of steps would have
defeated them. What we can say with
confidence is that none of the measures
adopted by the U.S. government from 1998 to
2001 disturbed or even delayed the progress
of the al-Qaeda plot. Across the government,
there were failures of imagination, policy,
capabilities, and management.
- The 9/11 Commission Report
2004
The United States tried its best to stop the
attacks, but terrorist groups were too
resourceful to be stopped.
DONE
AnnnnnOno
Answer: B. The United States might not have been able to stop the attacks, but it could have made a better effort to do so.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The ratio 36:60 is equivalent to what other ratios? ( list at least 2)
b) make the ratio 36:60 equivalent to _:50 ( show proof)
Answer:
1.) 12:20
6:10
2.) 30:50
6*5=30 and 10*5=50
(6:5 is the proportional relationship)
Step-by-step explanation:
Part A: Since the base numbers are 6:5, you can multiply any number like 5 on both sides. They only have to be the same number.
Part B: Divide the numbers until you cannot any more. I divided them both by 6.
Solve the quadratic equation: -x^2+8x=7
Answer:
Step-by-step explanation:
To solve the quadratic equation [tex]-x^2 + 8x = 7[/tex], we first convert it to standard form and identify the coefficients. Using the quadratic formula, we find the solutions to be x = -1 and x = 7.
To solve the given quadratic equation, [tex]-x^2 + 8x = 7[/tex], we first need to bring the equation to the standard form of a quadratic equation, which is [tex]ax^2 + bx + c = 0[/tex]. We can do this by subtracting 7 from both sides, resulting in [tex]-x^2 + 8x - 7 = 0[/tex].
Now the equation is in standard form, we identify the coefficients: a = -1, b = 8, and c = -7. Applying these to the quadratic formula, x = [-b ± [tex]\sqrt(b^2 - 4ac)[/tex]] / (2a), we get:
x = [-8 ± [tex]\sqrt((8)^2[/tex] - 4(-1)(-7))] / [2(-1)]
x = [-8 ± [tex]\sqrt(64 - 28)[/tex]] / -2
x = [-8 ± [tex]\sqrt(36)[/tex]] / -2
x = [-8 ± 6] / -2
Now, solving for x, we get two solutions:
x = (-8 + 6) / -2 = -1
x = (-8 - 6) / -2 = 7
Therefore, the solutions to the quadratic equation are x = -1 and x = 7.
jo triangles.
The base of the rectangle is 7 inches, and the height is
6 inches.
The area of one triangle is
square inches.
13
21
42
84
Answer:
21
Step-by-step explanation:
Area = 1/2 (Base x Height)
Area = 1/2 (7 x 6)
Area = 1/2 (42)
Area = 21
Answer:
Answer is B.21
Step-by-step explanation:
During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one, where w is the number of wins and p is the number of points scored. One team in the league scored 444 points and had 12 wins.
What is the residual of that team’s win total?
a. -2.046
b. -1.764
c. 1.764
d. 2.046
Answer:A
Step-by-step explanation:
The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.
What is equation?An equation can be stated as a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one,
i.e. w = 0.031p - 3.81
where w is the number of wins and p is the number of points scored.
now, we have,
One team in the league scored 444 points and had 12 wins.
i.e. p = 444
w = 12
so, we get,
LHS = 12
and, RHS = 9.954
so, the residual of that team’s win total is,
9.954 - 12
= -2.046
Hence, The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.
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Carmela borrows $400 and will pay 5.25% yearly simple interest. How much
more interest will Carmela owe if she borrows the money for 4 years instead.
of 2 years? Show your work.
Answer:
Camels has to pay $42 more as interest
Step-by-step explanation:
We are given that Carmela borrows $400 and will pay 5.25% yearly simple interest.
Principal = $400
Rate of interest = 5.25%
Time = 2 years
Formula :[tex]SI = \frac{P \times T \times R}{100}[/tex]
So, [tex]SI =\frac{400 \times 2 \times 5.25}{100}[/tex]
SI=42
She borrows the money for 4 years instead of 2 years,
So,[tex]SI =\frac{400 \times 4 \times 5.25}{100}[/tex]
SI=84
Difference in interests = 84-42 = 42
Hence Camels has to pay $42 more as interest
Answer:she has to pay 42 dollars more
Step-by-step explanation
Complete the statement about figures on the graph. Parts A and create a figure on the coordinate plane that has point symmetry about the origin.
Answer:C
Step-by-step explanation:
The answer is "Parts A and C create a figure on the coordinate plane that has point symmetry about the origin" on Edge 2020
What is the value of (-1/2)-4
Answer:
2
Step-by-step explanation:
-1/2 * (- 4)
2 Answer
An airplane is preparing to land an airport. It is 34,800 feet above the ground and descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and will ascending at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
Answer:
6 mins, and the altitude will be 16,800 ft
Step-by-step explanation:
1st: Subtract 3000 from 34800
2nd: Multiply 2 to 2800
Keep doing this until you get the same altitude for each one.
After 6 minutes, both airplanes will be at an altitude of 16,800 feet. This is found by solving two equations for the descending and ascending planes and determining the time when their altitudes are equal.
Explanation:To determine when two airplanes will be at the same altitude, we can set up an equation where the altitude of the descending airplane equals the altitude of the ascending airplane.
Let t be the time in minutes after the planes have begun their ascent and descent respectively.
The descending airplane starts at 34,800 feet and descends at 3,000 feet per minute. Therefore, its altitude after time t will be:
Altitude of descending plane = 34,800 feet - (3,000 feet/minute × t)
The ascending airplane starts at the ground level and ascends at 2,800 feet per minute. Thus, its altitude after time t will be:
Altitude of ascending plane = 0 feet + (2,800 feet/minute × t)
To find the time when the altitudes are equal:
34,800 feet - (3,000 feet/minute × t) = (2,800 feet/minute × t)
Solving for t, we get:
t = 34,800 feet / (3,000 feet/minute + 2,800 feet/minute)
t = 34,800 feet / 5,800 feet/minute
t = 6 minutes
Now, to find the altitude at which they will be at the same level, we can plug t back into either equation for altitude:
Altitude at 6 minutes = 2,800 feet/minute × 6 minutes
Altitude at 6 minutes = 16,800 feet
Therefore, after 6 minutes, both airplanes will be at an altitude of 16,800 feet.
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Easy Question, Easy points
Topic: Volume
Use the other attached paper to help u find formula
Focus on question Scenario 2
Answer:
20,000 cm³
Step-by-step explanation:
The shape is a triangular prism
Base area × height
½ × 20 × 25 × 80
20,000 cm³
the largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is
Final answer:
To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, the GCD (greatest common divisor) can be used. The GCD between 60 and 8 is 4, and the GCD between 75 and 10 is 5. Thus, the largest number that satisfies the conditions is 4.
Explanation:
To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, we can use the concept of the greatest common divisor (GCD). The GCD is the largest number that divides two or more numbers without leaving a remainder. To find the GCD, we can use the Euclidean algorithm.
First, we divide 60 by 8. The quotient is 7 and the remainder is 4. Then, we divide 8 by 4. The quotient is 2 and the remainder is 0. Since the remainder is 0, we stop here. Therefore, the GCD of 60 and 8 is 4.
Next, we divide 75 by 10. The quotient is 7 and the remainder is 5. Then, we divide 10 by 5. The quotient is 2 and the remainder is 0. Again, since the remainder is 0, we stop here. Therefore, the GCD of 75 and 10 is 5.
Therefore, the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively is 4.