Last year Marcia put $50 in her savings account every month, earning 4% interest on her money for the year. This year she is putting $120 per month into savings but will only earn 1.5%. How much more did she earn last year in interest than she will earn this year?
Find the lateral surface area of the prism.
24 in.
4 in.
5 in.
I WILL GIVE BRAILIEST
Answer:
280m to the power of 2
Step-by-step explanation:
Four times the sum of r and ten is equal to 4.
Answer:
4(r+10) = 4
Step-by-step explanation:
Please answer this question now
Answer:
30.9 cm²
Step-by-step explanation:
To find the surface area of this figure, we find the area of the base and the 3 identical sides.
The base is split into two identical right triangles. Let's find the area of one and multiply by two.
Half of 3: 1.5
\(1.5\cdot2.6=3.9\\3.9\div2=1.95\)
There are two right triangles:
\(1.95\cdot2=3.9\)
The area of one of the sides will be the same thing, except the height is 6.
\(1.5\cdot6=9\\9\div2=4.5\\4.5\cdot2=9\)
There are 3 sides identical to this one:
\(9\cdot3=27\).
Add 27 and 3.9:
\(27+3.9=30.9\)
Hope this helped!
Answer:
30.9 square centimeters
Step-by-step explanation:
3 * 1/2(3)(6) + 1/2(3)(2.6) = 30.9
Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?
1. Determine whether -x²-(-x)+8 is equivalent to x²-x+8
2. Determine whether (x)²-x+8 is equivalent to x²-x+8
3. Determine whether -x²(-x)+8 is equivalent to -(x²-x+8)
4. Determine whether (-2)²-(-x)+8 is equivalent to -(x²-x+8)
Answer:
Option 1
Step-by-step explanation:
You can tell if a function is even if \(f(-x)=f(x)\):
\(f(x)=x^2-x+8\)
\(f(-x)=(-x)^2-(-x)+8\)
\(f(-x)=x^2+x+8\)
Since \(f(-x)\neq f(x)\), the function is not even. Therefore, option 1 is the best option.
Each set of ordered pairs represents a function. Which set of ordered pairs would represent a function if the values of the x-coordinates and the values of the y-coordinates were
reversed?
O ((1,1). (2, 1), (3,1),(4,1);
O {(1,2), (2, 2).(3.3), (4,3)}
O {(1,4),(2,3), (3,1),(4,3)}
O [(1.2).(2,3), (3,4),(4.5))
Answer:
[(1.2).(2,3), (3,4),(4.5))
Step-by-step explanation:
once reversed, no x-values repeat therefore these ordered pairs would represent a function.
hope this helped!
The last set of ordered pairs, \(\{(1.2),(2,3), (3,4),(4.5)\}\), would still be a function even if its x- and y-coordinates where reversed.
Reversing the x- and y-coordinates is like finding the inverse relation.
An inverse relation will be a function if the original function were one-to-one. The only set of ordered pairs that satisfies this condition is
\(\{(1.2),(2,3), (3,4),(4.5)\}\)
The other options are many-to-one relations. On reversing their x- and y-coordinates, they each become one-to-many relations. All functions are either one-to-one, or many-to-one.
So, the answer is the last set of ordered pairs \(\{(1.2),(2,3), (3,4),(4.5)\}\)
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In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
A tower is topped by a right circular cone with a diameter of 24 feet and a height of 36 feet. The space inside the cone is used for housing electronic equipment.
361
Answer:
the answer is (5426)
Step-by-step explanation:
i got the answer online
The space inside the cone is 5426 cubic feet
What is the volume of a cone?
The formula for the volume of a cone is V = ( 1 / 3 ) πr²h.
Given data ,
Diameter of cone = 24 ft
Radius of cone = ( Diameter of cone / 2 ) = 12 ft
Height of cone = 36 ft
Space inside the cone = Volume of cone
Volume of Cone = ( 1 / 3 ) πr²h
= ( 1 / 3 ) x ( 22 / 7 ) x 12 x 12 x 36
= ( 22 / 7 ) x 48 x 36
= ( 22 / 7 ) x 1728
≈ 5426 cubic feet
Hence , the space inside the cone is 5426 cubic feet
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3/20 plus 3/5=\(3/20 plus3/5\)
23) Tim earned $16. 50 per hour tutoring last month. He wants to earn at most $313. 50 so he can buy a new DVD player, Write and solve an inequality to represent how many hours, h, Tim needs to tutor to afford his new DVD player. Also, graph the inequality
Tim needs to tutor for at most 19 hours to afford his new DVD player the inequality is h ≤ 19
Let's denote the number of hours Tim needs to tutor as h.
Tim earns $16.50 per hour tutoring.
Tim wants to earn at most $313.50 to afford a new DVD player.
We can set up an inequality to represent the number of hours Tim needs to tutor in order to afford the DVD player:
16.50h ≤ 313.50
This inequality states that the total amount earned (16.50h) must be less than or equal to $313.50.
To solve the inequality for h, we can divide both sides by 16.50:
h ≤ 313.50 / 16.50
Simplifying the right side:
h ≤ 19
Therefore, Tim needs to tutor for at most 19 hours to afford his new DVD player.
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Tim needs to tutor at most 19 hours to afford his new DVD player.
Given information is:
Tim earned $16.50 per hour tutoring last month.
Tim wants to earn at most $313.50 so he can buy a new DVD player.
To find:
Write and solve an inequality to represent how many hours, h, Tim needs to tutor to afford his new DVD player.
Also, graph the inequality.
Solution:
Let "h" be the number of hours Tim needs to tutor to afford his new DVD player.
Then, his total earnings would be:
16.5h <= 313.5
[As Tim wants to earn at most $313.50, which is less than or equal to $16.50 per hour, h]
Now, we will solve for "h":
Divide both sides by 16.5h <= 313.5 / 16.5h <= 19
Thus, Tim needs to tutor at most 19 hours to afford his new DVD player.
Now, let's graph the inequality:
To graph the inequality, we will draw a horizontal line at "h = 19" as it is the maximum number of hours Tim can tutor. Then, we shade the area left to the line as it represents the solutions that are less than 19.
The inequality will look like this:
Graph of 16.5h ≤ 313.5, where "h" represents the number of hours Tim needs to tutor to afford his new DVD player.
The graph shows that Tim can afford his new DVD player if he tutors for at most 19 hours.
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A machine has four components, A, B, C, and D, set up in such a manner that all four
parts must work for the machine to work properly. Assume the probability of one part
working does not depend on the functionality of any of the other parts. Also assume
that the probabilities of the individual parts working are P(A)=P(B) =0.97, P(C) =
0.99, and P(D)=0.93. Find the probability that the machine works properly. Round
to the nearest ten-thousandth.
A) 0.8931
B) 0.1337
C) 0.9355
D) 0.8663
E) None of the answers
Answer:
D)
Step-by-step explanation:
so, it simply means that all 4 events (the 4 machine parts work) are one combined event.
so, the probability that the machine works properly is the product of the 4 single probabilities :
0.97 × 0.97 × 0.99 × 0.93 = 0.86628663 ≈ 0.8663
A gardener has 60 feet of fence to keep animals out of the garden. What is the largest area of garden that the fence will enclose?
Hint: Does the Garden need to be rectangular?
The gardener should build a circular garden with a radius of about 9.55 feet to enclose the largest possible area with 60 feet of fencing.
What is the circumference of a circle?
The circumference of a circle is the distance around the edge of the circle. It is also the perimeter of the circle. The circumference is found by multiplying the diameter of the circle by pi (π), which is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
No, the garden doesn't need to be rectangular. In fact, a circular garden will have the largest area for a given amount of fencing.
To see why, imagine drawing a rectangle with a given perimeter (in this case, 60 feet). Now imagine changing the shape of the rectangle so that its sides gradually curve inward until they meet at right angles, forming a circle. As you do this, you'll notice that the area of the rectangle decreases while the area of the circle increases. This is because the circle encloses more area for a given perimeter than any other shape.
To find the radius of the circle that encloses the largest area, we can use the formula for the circumference of a circle:
C = 2πr
where C is the perimeter (in this case, 60 feet) and r is the radius. Solving for r, we get:
r = C / (2π) = 60 / (2π) ≈ 9.55 feet
Therefore, the largest area that the fence will enclose is:
A = πr² ≈ 286.48 square feet
Hence, the gardener should build a circular garden with a radius of about 9.55 feet to enclose the largest possible area with 60 feet of fencing.
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How do you think business owners determine how much of each of their products to make?
Answer:
They determine how much to make by how much demand there is for said product from the consumer.
Step-by-step explanation:
the accompanying observations are precipitation values during march over a 30-year period in minneapolis-st. paul. 0.31 0.48 0.51 0.58 0.78 0.82 0.82 0.89 0.97 1.17 1.19 1.21 1.32 1.36 1.44 1.52 1.61 1.73 1.86 1.88 1.96 2.04 2.11 2.19 2.49 2.82 2.99 3.08 3.36 4.76
Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779
Using the R software or any other graphing software and typing in the, we get the graphs.
The commands were
qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))
We see there's a slight difference between the two graphs.
For Minneapolis, the curve goes upwards to 0.4
and the for St. Paul the curve goes downwards to 0.4
The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.
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25. find the exact value of each expression. a. cos(-10pi/3)
The exact value of the expression cos(-10pi/3) is -1/2.
How to find the exact value of the expression?To find the exact value of cos(-10pi/3), follow these steps:
1. Determine the equivalent positive angle: Since the cosine function has a period of 2pi, we can add multiples of 2pi to the angle until we get a positive angle. In this case, we add 4pi (since 4pi = 12pi/3) to get the equivalent positive angle:
(-10pi/3) + (12pi/3) = 2pi/3.
2. Find the cosine value of the positive angle: Now, we find the cosine value of the positive angle 2pi/3. Using the unit circle, we can determine that cos(2pi/3) = -1/2.
So, the exact value of the expression cos(-10pi/3) is -1/2.
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Help please! This is timed! 50 points
Answer:
24.96%
Step-by-step explanation:
HOPE I WAS FAST ENOUGH
Answer:
24.96%
Step-by-step explanation:
6) Find the missing value:
5, 8, 2, 6, x when the mean is 5.
A) 4
B) 4.2
C) 5.2
D) 6
PLEASE HELP ME SHOW WORK
Answer:
4
Step-by-step explanation:
we have been given the mean as 5 so it means you have to multiply five with the mean since there are five numbers .If you multiply you will get 25 then add 5+8+2+6 the answer you will get is 21 thn write an equation 21+x=25 because 21 has a positive sign infront of it when it crosses the equal sign it will change to a negative sign the equation will be x=25-21 if you subtract you will get 4 so x=4
Certificate A pays $2200 in three months and another $2200 in six months. Certificate B pays $2200 in four months and another $2200 in seven months. If the current rate of return required on this type of investment certificate is 4.55%, determine the current value of each of the certificates. (Do not round intermediate calculations and round your final answers to 2 decimal places.)
The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.
For Certificate A the first payment of $2200 is received in three months. The second payment of $2200 is received in six months.
PV = CF / (1 + r)ⁿ
PV = Present Value
CF = Cash Flow
r = Rate of return
n = Number of periods
n = 3/12
n = 0.25
PV₁ = \(\frac{2200}{(1+0.455)^{0.25}}\)
PV₁= 2200 / 1.011349
PV₁ = 2174.24
n = 6/12
n = 0.5
PV₂ = \(\frac{2200}{(1+0.455)^{0.5}}\)
PV₂ = 2200 / 1.022595
PV₂ = 2148.17
Therefore, the current value of Certificate A is approximately $2174.24 + $2148.17 = $4322.41.
For Certificate B the first payment of $2200 is received in four months. The second payment of $2200 is received in seven months.
PV₁ = \(\frac{2200}{(1+0.455)^{\frac{6}{12} } }\)
PV₁ = 2200 / 1.014674
PV₁ = 2161.40
PV₂ = \(\frac{2200}{(1+0.455)^{\frac{7}{12} } }\)
PV₂ = 2200 / 1.018202
PV₂ = 2158.63
Therefore, the current value of Certificate B is approximately $2161.40 + $2158.63 = $4319.03.
The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.
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How many solutions exist for the following system if m1 ≠ m2?
y = m1x + b
y = m2x + b
answers:
an infinite number, none, one, the number of solutions cannot be determined.
Because the lines have different slopes, we conclude that there is only one intercept, and thus, the system of linear equations has only one solution.
How many solutions does the system of equations has?Remember that a system of equations has as many solutions as intercepts are when we graph both equations in the same coordinate axis.
Now, in this case, we have a system of linear equations:
y = m1*x + b
y = m2*x + b
Remember that linear equations are parallel only if the two lines have the same slope, in this case, we know that m1 ≠ m2, so the slopes are different.
Then the lines are not parallel, which means that intersect only one time, so we conclude that the system of equations has one solution.
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Can someone help me with this please
Answer: get smart bro
you would know it if you was smart
Step-by-step explanation:
you wont do your work, you always cheat, and you don't listen to the teacher
you need to find the answer out on your own.
P.S. i hope you have a good day :)
If the area of a rectangle is 12 sq.m, what will be the highest possible
perimeter of the rectangle?
Answer:
21 sqm.
Step-by-step explanation:
pls.mark this answer and follow me
-20 = x/8 -8) oh ya and please subscribe to michadsen tv
-20 = x/8 -8) oh ya and please subscribe to iwpp
\(Please\;simplify\;the\;following\;for\;50\;Points!!\\\\1... \;x/-5 + 17 \ \textgreater \ 4\\2...\;3x - 27 \leq -18\\3...\;-6x - 1 \ \textless \ -7\)
Answer:
x < -55x ≤ 3x > 1Step-by-step explanation:
x/-5 + 17 > 4
-1/5x + 17 > 4
-1/5x > -13
x < -65
3x - 27 ≤ -18
3x ≤ 9
x ≤ 3
-6x - 1 < -7
-6x < -6
x > 1
Best of Luck!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
1)
\(\frac{x}{-5} +17>4 \\\frac{-1}{5} x+17>4\\\frac{-1}{5} >-13\\x<65\)
2)
\(3x-27\leq -18\\3x\leq 9\\x\leq 3\)
3)
\(-6x-1<-7\\-6x<-6\\x>1\)
I need help on number 6 plz!
Answer:
6 is c
Step-by-step explanation:
Answer:
_
sk
Step-by-step explanation:
CALCULATE THE LENGTHS OF THE SIDE GJ AND SIDE HJ
answer options for both
6.5
9.2
84.5
Answer:
GJ=6.5, JH=9.2
Step-by-step explanation:
Carissa and her team packaged 1000 bottles in the morning. This is 40% of the goal
at the end of one day. How many bottles do they have left to package to meet their
goal?
A. 250
B. 400
C. 2500
D. 1500
They have 400 bottles left to package to meet their goal.
What is a percentage?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”
In the problem above, we are given that:
Carissa and her team packaged 1000 bottles.And that was 40% of the goal.In order to find how many bottles do they have left to package to meet their goal, we will multiply the percentage by the bottles to figure out how much they got left.
So,
\(\rightarrow\text{x}=0.40\times1000\)
\(\rightarrow\bold{x=400 \ bottles}\)
Therefore, they have 400 bottles left to package to meet their goal.
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A nonzero scalar of F may be considered to be a polynomial in P(F) having degree zero. true or false
The statement 'A nonzero scalar of F can be considered as a polynomial in P(F) having degree zero' is true because a scalar is a constant term with no variables, and a constant term is a polynomial of degree zero.
In polynomial algebra, a polynomial of degree zero is defined as a constant, which can be thought of as a special case of a polynomial. A scalar in F is a member of a field, which is a mathematical structure that satisfies certain axioms.
A constant scalar can be considered as a polynomial with degree zero in P(F). This is because a polynomial of degree zero is defined as a polynomial with the highest power of x equal to 0. Since there is only one scalar in F, the highest power of x in the polynomial representing the scalar is 0, and hence, the degree of the polynomial is 0.
Therefore, a nonzero scalar of F can be considered as a polynomial of degree zero in P(F).
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Find an equation for the plane that is perpendicular to the line l(t) = (−3, −6, 9)t + (0, 7, 1) and passes through (2, 2, −1).
The direction vector of the line l is given by (-3, -6, 9). A plane perpendicular to the line will have a normal vector in the direction of this direction vector. Therefore, a normal vector to the plane can be found by taking the direction vector of the line:
n = (-3, -6, 9)
To find the equation of the plane, we need to find the value of d in the equation of the plane, which is given by:
Ax + By + Cz + d = 0
where (A, B, C) is the normal vector to the plane.
Substituting the values of the normal vector and the point (2, 2, -1) into the equation of the plane, we get:
-3(x-2) - 6(y-2) + 9(z+1) + d = 0
Simplifying the equation, we get:
-3x - 6y + 9z + 33 + d = 0
Therefore, the equation of the plane is:
-3x - 6y + 9z + 33 = 0
or, dividing by -3 to simplify:
x + 2y - 3z - 11 = 0
So, the equation of the plane that is perpendicular to the line l(t) = (-3, -6, 9)t + (0, 7, 1) and passes through (2, 2, -1) is x + 2y - 3z - 11 = 0.
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On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B? A. 5 miles B. 24 miles C. 48 miles D. 80 miles
Answer: D. 80 miles
Step-by-step explanation:
if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B
1 inch = 20 miles4 inch = 4 x 1 inch = 4 x 20 miles = 80 milesAnswer:
D. 80 miles
Step-by-step explanation:
If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:
\(\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}\)
In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.
10 + 10x + 4
What is it??
Answer: 10x+14
Step-by-step explanation: In a equation like this one you just add like terms. So 10 and 4 are added and make 14. Since there are no like terms for 10x then you just leave it be.