Answer:
Never. (Not viable)
Step-by-step explanation:
3% of 500=15
5% of 300=15
Since both of them would get $15 a year, then they would stay the same amount apart. For example, when the first account reached 515 dollars, the second one would be at 315 dollars. Thus, they'd always be 200 dollars apart.
However!
Since it is a compound interest, and if there is the original 7% a year, the formula we'll use for this is the simple interest formula, or:
I=Pxrxt
Where:
P is the principal amount, $500.00.
r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 500 × 0.03 × 5 to get that:
The interest is: $75.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 500.00 + 75.00 = 575.00. For example:
If you borrowed the $500.00, you would now owe $575.00
If you loaned someone $500.00, you would now be due $575.00
If owned something, like a $500.00 bond, it would be worth $575.00 now.
You want to calculate the interest on $300 at 5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
I=Pxrxt
Where:
P is the principal amount, $300.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 300 × 0.05 × 5 to get that:
The interest is: $75.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 300.00 + 75.00 = 375.00. For example:
If you borrowed the $300.00, you would now owe $375.00
If you loaned someone $300.00, you would now be due $375.00
If owned something, like a $300.00 bond, it would be worth $375.00 now.
Answer: there is only one solution and it is viable . ( answer on PLATO)
Step-by-step explanation:
DEF is A dilatation of ABC by scale factor of 1/3
I am pretty sure the answer would be (a)
Select the correct answer. What is the y-intercept of y = 7? A. (0, 7) B. (7, 0) C. (7, 7) D. (-7, 7) PLZ HElp
Answer:
A. (0, 7)
Step-by-step explanation:
y=7
All values of y are equal to 7.
When x = 0, y = 7
The y intercept is 7
(0,7)
identify the type of variation represented by y=3/x
Answer:
Inverse variation
Step-by-step explanation:
Given equation is [tex]y=\frac{3}{x}[/tex].
Now we need to identify the type of variation represented by [tex]y=\frac{3}{x}[/tex].
We know that there are two type of variations direct and inverse.
If y and x are in direct variation then we write equation as [tex]y=kx[/tex].
where k is the constant of variation.
If y and x are in inverse variation then we write equation as [tex]y=\frac{k}{x}[/tex].
Given equation [tex]y=\frac{3}{x}[/tex] looks similar to [tex]y=\frac{k}{x}[/tex].
So that means finala answer is "Inverse variation".
Which equation has the solution x = 2 ?
A) 2x -- 3 = 19
B) 3x + 2 = 8
C) 4x -- 4 = -4
D) 5x + 1 = 10
Answer:
B)
Step-by-step explanation:
3 multiplied by 2 is 6
6+2 is 8
Using a transit, a surveyor measures the angle between two trees to be 111 degrees. If the first tree is 62 feet from the transit and the second tree is 58 feet from the transit, what is the distance between the two trees?
Answer:
The distance between the two trees is [tex]98.92\ ft[/tex]
Step-by-step explanation:
we know that
Applying the law of cosines
[tex]c^{2}=a^{2} +b^{2} -2(a)(b)cos (C)[/tex]
where
c -----> is the distance between the two trees
a ----> is the distance between the transit and the first tree
b ----> is the distance between the transit and the second tree
we have
[tex]a=62\ ft[/tex]
[tex]b=58\ ft[/tex]
[tex]C=111\°[/tex]
substitute and solve for c
[tex]c^{2}=62^{2} +58^{2} -2(62)(58)cos (111\°)[/tex]
[tex]c^{2}=9,785.38[/tex]
[tex]c=98.92\ ft[/tex]
What is the linear function equation represented by the graph?
Answer:
y = (3/5)x + 3
Step-by-step explanation:
You can see immediately that the y-intercept is (0, 3).
As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Starting with the generic y = mx + b, we get y = (3/5)x + 3.
Answer:
Y=3/2x-3
Step-by-step explanation:
3/2 is the slope. Remember, rise/run. so the rise is 3 and the run is 2. so up three since its positive and right 2 cuz its positive. and the -3 is the y inercept. hope this helps love :)
find the distance between the two points 5,6 and 0,-6. Show your work
Answer:
The distance between two points is √169 or 13.
Step-by-step explanation:
In the question we need to find the distance between two points 5,6 and 0,-6 given.
Distance between two points can be found using the formula:
[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
Putting the given points in the formula we get,
x₂ = 0, x₁ = 5, y₂= -6, y₁= 6
[tex]=\sqrt{(0-(5))^2 + (-6-(6))^2} \\=\sqrt{(0-5)^2 + (-6-6)^2}\\=\sqrt{(-5)^2 + (-12)^2}\\=\sqrt{25 + 144}\\=\sqrt{169}\\=13[/tex]
So, the distance between two points is √169 or 13.
Miss Jenkins the school cafeteria manager knows that 10 out of every 65 students order pizza for lunch there are 416 students at her school at this rate how many students will eat pizza in Miss Jenkins School?
If there are 10 orders for every 65 students, and there are 416 students, the total amount of orders would be:
(416/65) x 10
= 64
Therefore, 64 students will order/eat pizza in Miss Jenkins School
The answer is 64 students.
Hope this helps!
(HELP ASAP PLEASE)
The postal service offers flat-rate shipping for priority mail in special boxes. Today, Anna shipped 10 small boxes and 6 medium boxes, which cost her $126 to ship. Meanwhile, Jeffrey shipped 5 small boxes and 6 medium boxes, and paid $96. How much does it cost to ship these two sizes of box?
Shipping costs $___ for a small box and $___ for a medium box.
Answer:
shipping cost $6 for a small box and $11 for a medium box
Step-by-step explanation:
The question is on formation of simultaneous equations
Anna shipped 10sb + 6mb =$126
Jeffrey shipped 5sb + 6mb=$96
Let small boxes,sb, be represented by x
Let medium boxes, mb, be represented by y
Equations
10x+6y=126------------------------(a)
5x+6y=96.......................................eliminate y by subtraction
5x=30.................................................divide by 5 to remain with x
x=30/5= 6......................................substitute value of x in equation (a)
(10×6) + 6y =126
60+6y=126
6y=126-60
6y=66..............................................divide by 6 both sides to get y
y=66/6= 11
Solution
x=6 and y=11
shipping cost $6 for a small box and $11 for a medium box
what is the volume of the cylinder below?
Answer:
Step-by-step explanation:
It is C.
Volume-πr^2h
r-11
h-15
11^2*15
=1815π
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is clear that the radius of the cylinder is 11 units and the height of the cylinder is 5 units.
The volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is radius and h is height.
Substitute x=11 and h=15 in the above formula.
[tex]V=\pi \times (11)^2\times (15)[/tex]
[tex]V=\pi \times 121\times (15)[/tex]
[tex]V=1815\pi[/tex]
The volume of the cylinder is 1815π unit³.
Therefore the correct option is C.
Describe how to find the sums -4+2 and -4+(-2) on a number line
For -4+2 you’d start at -4 then add two headed to the positive side
The sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
⇒ -4 + 2 - 4 - 2
Firstly, subtract 4 from zero, then the line goes from zero to negative 4.
Secondly, add 2 from -4, then the line goes from negative 4 to -2.
Thirdly, subtract 4 from -2, then the line goes from negative 2 to -6.
And finally, subtract 2 from -6, then the line goes from negative 6 to -8.
Thus, the sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?
A reflection across the x-axis
A reflection across the y-axis
A reflection across both axes
Answer:
A reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (-x, y)
A point in the second quadrant (- x, y)
Under reflection in the y- axis is (x, y) ← point in first quadrant
Answer:
A reflection across the y-axis.
Step-by-step explanation:
If it was across the x-axis, the point would have gone into Quadrant III.
The y-axis is vertical, and it was moved into Quadrant I from Quadrant II making it a vertical reflection which is a reflection from the y-axis.
For the girl to lift this rock, she must push down with a force _____.
A. equal to the weight of the rock
B. less than the weight of the rock
C. greater than the weight of the rock
Answer:
B.
Step-by-step explanation:
B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.
8 cm is equal to how many cubic mm
Answer:
8,000 cubic mm
Step-by-step explanation:
the formula is to multiply the volume value by 1000
so 8 times 1000 is 8000
Sarah drove 228 miles using 9.5 gallons of gas. how many more gallons will she use if she goes 336 more miles?
Answer:
14 gallons
Step-by-step explanation:
First determine the amount of miles per gallon her car will go by dividing the amount of miles by the amount of gallons.
228/9.5 = 24 miles per gallon
This means on a trip of 336 miles she will use 14 gallons.
336/24= 14 gallons
A toy manufacturer uses 90 pints of plastic to make 600 action figures. If they use 810 pints of plastic in an 8 hour shift, how many action figures are made per hour?
A) 600 action figures per hour
B) 625 action figures per hour
C) 650 action figures per hour
D) 675 action figures per hour
Answer:675(d)
Step-by-step explanation:so you take ratio
90-600
810-x
x=5400
After you divide 5400 by 8 hours and you get 675- to get how much figures he get for one hour
Final answer:
To find out how many action figures are made per hour, divide the amount of plastic used per hour by the amount of plastic used to make one action figure. In this case, 113 action figures are made per hour.
Explanation:
To find out how many action figures are made per hour, we need to determine the amount of plastic used per hour and then divide it by the amount of plastic used to make one action figure.
First, we need to find the amount of plastic used per hour. Since 810 pints of plastic are used in an 8-hour shift, we divide 810 by 8, which gives us 101.25 pints of plastic per hour.
Next, we need to determine how many action figures can be made with 101.25 pints of plastic. We divide 101.25 by 90 (the amount of plastic used to make 600 action figures), which gives us 1.125 action figures per pint of plastic.
Finally, we multiply 1.125 by 101.25 to find the number of action figures made per hour. This gives us 113.4375 action figures per hour. Since we can't have a fraction of an action figure, we round this to the nearest whole number, which is 113 action figures per hour.
Help me , pleaseeeeeeeeeeee
Answer: $4.69
Step-by-step explanation:
Make equivalent fractions for each fruit.
Apples: 1.62/1 = x/2.5
X = $4.05 for 2.5 pounds of apples
Bananas: 0.48/1 = x/1.3333333333
X = .64 for 1.3333333333 pounds of bananas
Now add the results together to find the total cost.
4.05 + .64 = $4.69
A cruise ship can cover and 19 nautical miles in 304 minutes. How many nautical miles will travel in 240 minutes?
Answer:
We can go 15 nautical miles
Step-by-step explanation:
We can use a ratio to solve. Put the number of nautical miles over the minutes
19 miles x miles
----------- = ------------- --
304 minutes 240 minutes
Using cross products
19*240 = 304x
4560=304x
Divide each side by 304
4560/304 = 304x/304
15=x
We can go 15 nautical miles
What is the volume of the cylinder? 16cm height and 6cm radius
Answer:
V = 576 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi * (6)^2 * 16
V = pi *36*16
V = 576 pi cm^3
determine whether each expression is equivalent to (2x^3)2/5
Answer:
Yes
No
No
Yes
No
Step-by-step explanation:
The given expression is [tex]\sqrt[5]{(2x^{3})^{2} }[/tex]
This can be rewritten as
[tex]\sqrt[5]{4x^{6} }[/tex]
Then an x can be factored out to give you
[tex]x\sqrt[5]{4x}[/tex]
Answer:
1.Yes
2.No
3.No
4.Yes
5.No
Step-by-step explanation:
Which statements are always true about regular polygons
Answer:
The answer is...
Step-by-step explanation:
Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 108(5-2) degrees.
The true statements about regular polygons are given below.
What is interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
Given:
We have a regular polygon.
So, the true statements about polygons:
It has equal length sides.
All its interior angles are equal.
The sum of its exterior angles is 360°.
Therefore, true statements are given above.
To learn more about the interior angles;
brainly.com/question/10638383
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What are the nutrients found in a burger?
Answer:
a bunch of fat including sodium which is very unhealthy. it does have protein though. As well as some vitamins and some lettuce and tomatoes which is good for Vitamin C and B.
Step-by-step explanation:
Type the correct answer in the box.
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid but inside the prism is
cubic centimeters.
Answer:
250 cubic cm
Step-by-step explanation:
First step is to measure the volume of the rectangular prism... which is easy... it's the width * length * height. Since we have a square base, the width and length are the same: 5 cm. The volume is then: 5 * 5* 12 = 300 cubic cm.
The volume of a pyramid is obtained by the following formula:
V = (1/3) * base_area * height
We have the base area (5 * 5 = 25) and we have the height: 6 cm (half of 12 cm).
So, the volume of the pyramid is:
V = (1/3) * 25 * 6 = (1/3) * 150 = 50 cubic cm
The volume inside the prism but OUTSIDE the pyramid is then the volume of the prism (300 cubic cm) - the volume of the pyramid (50 cubic cm), so 250 cubic cm.
17) A marble paperweight shaped like a pyramid weighs 0.15 lbs. How much does a similarly shaped
marble paperweight weigh if each dimension is three times as large?
Answer:
The weight of the larger marble paperweight is 4.05 lb
Step-by-step explanation:
we know that
If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Remember that the scale factor is the ratio between corresponding sides
Let
z ------> the scale factor
x -----> the weight of the larger marble paperweight
y -----> the weight of the original marble paperweight
[tex]z^{3} =\frac{x}{y}[/tex]
In this problem we have
[tex]z=3[/tex]
[tex]y=0.15\ lb[/tex]
substitute and solve for x
[tex]3^{3} =\frac{x}{0.15}[/tex]
[tex]x=(27)(0.15)=4.05\ lb[/tex]
therefore
The weight of the larger marble paperweight is 4.05 lb
During a sales trip, Mr. Jones drove
15 miles east from Brownsville to
Carlton. Then he drove several more
miles east from Carlton to Sun City.
The distance from Brownsville to Sun
City is 35 miles. Write and solve an
addition equation to find how many
miles it is from Carlton to Sun City.
Hello There!
EQUATION 15+M=35M = 20 MILES
25 pts easy definitions
adjacent angles
congruent angles
complementary angles
vertical angles
perpendicular lines
supplementary angles
Hello There!
"Adjacent Angles" Adjacent angles are adjacent when they have a common side and a common vertex. Adjacent angles do not overlap.
"Congruent Angles" They have the same angle in degrees or radian.
"Complementary Angles" These are angles that add up to 90 degrees.
"Vertical Angles" Angles that are opposite of each-other. These are formed by intersecting lines.
"Perpendicular Lines" Lines that are at right angles (90°) to each other.
"Supplementary Angles" Two angles that add up to 180 degrees.
HAVE A GREAT DAY!
EaSyQuEsTiOn 6th grade finding perimeter
Pleaaze Pleaze answer this pleaze I'll make you branliestPleaze promise just ASAP
Answer:
16 1/8 is the missing side.
Answer:
6 1/8
Step-by-step explanation:
You add the sides to find perimeter
Please help and thank you
Answer:
[tex]\large\boxed{D.\ -\dfrac{4}{3}<x<\dfrac{10}{3}}[/tex]
Step-by-step explanation:
[tex]2|3x-3|-6<8\qquad\text{add 8 to both sides}\\\\2|3x-3|<14\qquad\text{divide both sides by 2}\\\\|3x-3|<7\iff3x-3<7\ \wedge\ 3x-3>-7\qquad\text{add 3 to both sides}\\\\3x<10\ \wedge\ 3x>-4\qquad\text{divide both sides by 3}\\\\x<\dfrac{10}{3}\ \wedge\ x>-\dfrac{4}{3}[/tex]
Answer:
answer: D
Step-by-step explanation:
look this solution :
Mrs.Johnson has 14 blue pens, 7 black pens and 5 red pens in a desk drawer. If she Selects two pens at random without replacing them what is the probability that she selects a blue pen and then a black.pen
Answer:
8.6
Step-by-step explanation:
first you add all the numbers, then divide by 3 and you get 8.6.
Answer:
P (blue | black) = 0.151
Step-by-step explanation:
We know that there are 14 blue pens, 7 black pens and 5 red pens in Mrs. Johnson's desk drawer.
We are to find the probability of getting a blue pen and then a black pen when choosing two pens randomly without replacement.
Total pens = 14 + 7 + 5 = 26
P (blue pen) = 14/26
P (black pen) = 7/25
P (blue | black) = 14/26 * 7/25 = 49/325 or 0.151
What is the inverse of the following function?
y= 2^x + 3
Answer: [tex]y=log_2(x-3)[/tex]
Step-by-step explanation:
To obtain the inverse of the function [tex]y= 2^x + 3[/tex], you need to solve the equation for the variable "x":
[tex]y= 2^x + 3\\\\y-3=2^x\\\\log_2(y-3)=log_2(2^x)\\\\x=log_2(y-3)[/tex]
Now you need to exchange the variable "x" with the variable "y". Then:
[tex]y=log_2(x-3)[/tex]
Finally, you get that the inverse of the function [tex]y= 2^x + 3[/tex] is:
[tex]y=log_2(x-3)[/tex]