Given Information:
Principle amount = P = $6,000
Interest rate = r = 4% = 0.04
Period in years = t = 5
Required Information:
How much interest will he earn in 5 years = ?
Answer:
Amount of interest = $1,299.92
Step-by-step explanation:
Using the formula given in the question,
[tex]B = P(1 + r )^{t}[/tex]
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
[tex]B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92[/tex]
The amount of interest earned is
[tex]Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92[/tex]
Therefore, Quincy has earned $1,299.92 in terms of interest by investing $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.
Please help me with this questions!
Will mark brainliest!
Answer:
1a. 119
1c. 598
2a. 36
2c. 825
Step-by-step explanation:
1a. So to discount 15% you take 85% of 140. That is 119
1c. Take 92% of 650. That is 598
2a. So to markup 20% you take 120% of 30. That is 36
2c. Take 110% of 750. That is 825
What is the circumference and area of a circle with a radius of two
Answer:
The area and circumference is/are both 4π
Step-by-step explanation:
Formula for the circumference: 2πr
Formula for the area: πr²
2×π×2=4π
The circumference is 4π
π×2²= 4π
The area is 4π
Which pair of statement correctly compares the two data sets?
Answer:
please there are no data sets, i can't see them
Answer:
a
Step-by-step explanation:
What is the following product? RootIndex 3 StartRoot 24 EndRoot times RootIndex 3 StartRoot 45 EndRoot RootIndex 3 StartRoot 69 EndRoot 4 (RootIndex 3 StartRoot 6 EndRoot) 6 (RootIndex 3 StartRoot 5 EndRoot) 6 (RootIndex 3 StartRoot 10 EndRoot)
Answer:
Answer is C
Step-by-step explanation:
The result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].
The product is represented as:
[tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex]
Multiply the roots
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= \sqrt[3]{24\times 45}[/tex]
Rewrite the above expression as:
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (24\times 45)^{1/3}[/tex]
Expand 24
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 8 \times 45)^{1/3}[/tex]
Express 8 as 2^3
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 2^3 \times 45)^{1/3}[/tex]
So, we have:
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 45)^{1/3}[/tex]
Express 45 as 9 * 5
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 9 \times 5)^{1/3}[/tex]
Express 9 as 3^2
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 3^2 \times 5)^{1/3}[/tex]
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3^3 \times 5)^{1/3}[/tex]
So, we have:
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2\times 3(5)^{1/3}[/tex]
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6(5)^{1/3}[/tex]
Rewrite as:
[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6\sqrt[3]{5}[/tex]
Hence, the result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex]
Read more about products at:
https://brainly.com/question/10873737
A. Translation
B. Glide reflection
C. Rotation
Answer:
Rotation.
Step-by-step explanation:
The preimage is rotated about a center clockwise 90 degrees.
Which fraction lies between 0.70 and 0.75 on number line?
Answer:
Please see my attachment below.
It has the work to your question and should help you understand it visually.
Hope it helps.
Using y=3x+9 Identify the slope (There is more than one answer)
Answer: 3
Step-by-step explanation:
Answer:
3 and 3/1! Why both you ask? Because they mean the same thing.
Step-by-step explanation:
9 is your y-intercept, and 9/1 is totally off.
What number can be added to the right side of the equation to change it to a function with one real zero
Answer:
+3
Step-by-step explanation:
Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.
Team Sports Sport Number of Players Baseball 9 Basketball 5 Football 11 Hockey 6 Lacrosse 10 Polo 4 Rugby 15 Soccer 11 Enter the ratio of lacrosse players to baseball players in the form a b and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.
Answer:
Ratio of Lacrosse players to Baseball players is 10:9 or 10/9
Step-by-step explanation:
A ratio can be seen as a relationship between two values which is based on quantitative measures.
To do this simply we divide the values of the quantities that we want to determine the ratio of which on is to the other.
It can be seen as Value of quantity A / Value of quantity B
In this case, quantity A is the Lacrosse players, and it has a value of 10
quantity B represents the Baseball players with a value of 9.
Hence the ratio is [tex]\frac{10}{9} = 1.1111[/tex]
It can also be written as 10: 9
The decimal is a repeating decimal because the numbers after the decimal points take up a pattern that repeats themselves up to infinity.
Determine the number of possible positive real zeros and the number of possible negative real zeros a. positive 1; negative 3 or 1 c. positive 3 or 1; negative 1 b. positive 1; negative 2 or 1 d. positive 2 or 1; negative 1 Please select the best answer from the choices provided
Answer:
its c on edg 2020
Step-by-step explanation:
A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection and be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights. Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.
Answer: For plato users
Plot the numbers on your number line
Firstly plot =52
Secondly plot = 64
Step-by-step explanation:
Can anybody help me solve this? You must solve for X first. I will mark as brainliest if there is an explanation.
(Click on image for full picture)
Answer:
106 degrees
Step-by-step explanation:
Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)
11x + 1 + 12x + 10 + 75 + 90 = 360
23x + 176 = 360
23x = 184
x = 8
when x = 8,
<VUX = 12x + 10 = 12(8) + 10 = 106 degrees
Answer:
∠VUX = 106º
Step-by-step explanation:
Once the Quadrilateral add up to 360,
[tex]360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x[/tex]
The measure of ∠VUX is [tex]12x+10[/tex]
Once [tex]x=8\º[/tex]
[tex]12(8)+10\\106[/tex]
please help..ive got some of it but some of its so confusing
Answer:
12.5%
Step-by-step explanation:
its 1/4 the area of the bigger square, so half of the 1/4 is 1/8
Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.
B: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
C: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.
D: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.
Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
Step-by-step explanation:
Let "up" be positive and "down" be negative.
Both elevators start at position x = 0
The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)
The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)
Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below
Answer:
Awnser B :) Hope i helped
Step-by-step explanation:
Please Help!!! What is the ratio of the volume of Cylinder A to the volume of Cylinder B?
Answer:
D. 27/16
Step-by-step explanation:
Volume of a cyclinder=πr^2h
Volume of cylinder A=πr^2h
r=3
h=3
π=3.14
=3.14×3^2×3
=3.14×9×3
=84.78
Volume of cylinder B
r=2
h=4
Volume of cylinder B=πr^2h
=3.14×2^2×4
=3.14×4×4
=50.24
Ratio of A to B
=84.78/50.24
Change to fraction
=84.78×100/50.24×100
=8478/5024
=27/16
what is the slope of the points (-6.4,-2.6) and (5.2,9)
Answer:
X= 1
Hope this helps you!
A pillow that usually cost $18 is marked down 25% what is the markdown and what's the new price
Answer:
a = 4.50
b = 13.50
Step-by-step explanation:
i did the quiz
LOTS OF POINTS
It’s starting to get colder at night, so Sam decides to remove the goldfish from the pond in his backyard. He tries to catch the fish with a net; however, even though he can clearly see the fish in the water, he misses it. He infers that he missed because the light is being refracted. What is causing the refraction?
1: The air and the water are different colours.
2: The air and the water have different densities (and media).
3: The water is reflecting the light.
4: The air is reflecting the light.
EXPLAIN YOUR ANSWER
Answer:
Light refracts whenever it travels at an angle into a substance with a different refractive index (optical density). This change of direction is caused by a change in speed. For example, when light travels from air into water, it slows down, causing it to continue to travel at a different angle or direction. Which would make him see the fish in a spot that its not at. So 2 is the correct answer.
Determine the projection of vector w onto vector u. u=9i-6j, v=-3i-2j, w=19i+15j
Answer:
[tex]proj_uw=6.2i-4.2j[/tex]
Step-by-step explanation:
The projection of a vector [tex]v[/tex] onto a vector [tex]u[/tex] is defined as the projection of the vector [tex]v[/tex] on the line that contains the vector [tex]u[/tex]. It can be calculated using the following formula:
[tex]proj_uv=\frac{u\cdot v}{||u||^2} u[/tex]
Where:
[tex]u\cdot v[/tex]
Is the dot product between [tex]u[/tex] and [tex]v[/tex] which is given by:
[tex]u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$[/tex]
and:
[tex]||u||[/tex]
Is the magnitude of vector which can be calculated as follows:
[tex]||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}[/tex]
In this sense, the projection of vector w onto vector u is:
[tex]proj_uw=\frac{u\cdot w}{||u||^2} u[/tex]
Where the dot product between [tex]u[/tex] and [tex]w[/tex] is:
[tex]u\cdot w =(9*19)+(-6*15)=171-90=81[/tex]
And the magnitude of [tex]u[/tex] is:
[tex]||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}[/tex]
Thus:
[tex]proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.15\rangle\approx6.2i-4.2j[/tex]
Answer:
A on edge
Step-by-step explanation:
Got it right on quiz (:
Find the surface of the figure :1ft,5ft,7ft
I don't know if this is going to be helpful but I think it is 94 ft squared
Pat mixed .85/lb coffee with .55/lb coffee to form a mixture worth .75/lb. How many lbs of each should she use to make 120lbs of the mixture?
How can I find the area of this irregular shape?
Answer:
the idea is to devide the shape into 3 smaller parts.
Step-by-step explanation:
devide it to three areas :
> semi-circle (0.5 * pi * R), R=5
>Square (10 * 10)
> triangle (0.5 * base * height),
bsse =10, height =7
Add them together.
A) Mo has been rounding decimal numbers to the nearest whole number. Put a * by the correct answers and correct the incorrect answers. Number Rounded to Whole Number Correct (*) or Correction 7.2 7 * 8.5 8 9 12.9 13 * 3.4 3 * 11.5 11 12 9.5 9 10 b) Mo has made the same mistake throughout. Explain to Mo the mistake he has made. A:
Answer:
A)
7.2 7 * ⇒ correct
8.5 8 9 ⇒ 9 is the correct answer
12.9 13 * ⇒ correct
3.4 3 * ⇒ correct
11.5 11 12 ⇒ 12 is the correct answer
9.5 9 10 ⇒ 10 is the correct answer
B)
When a decimal number is 5 or more, you must round up, e.g. 4.5 must be rounded up to 5. You round down when the number is 4 or less.
Nick is solving the equation 3x^2=20-7x with the quadratic formula
which values could He use for a, b and c
Answer:
C. a = 3
b = 7
c = -20
Step-by-step explanation:
x = -b+/- (sq) b^2 - 4ac.
Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0
S if you use your equation : 3x^2 = 20 - 7x
First you have to move everything to one side.
So it'll look like this:
3x^2 = 20 - 7x
-20 -20
3x^2 - 20 = -7x
+7x +7x
3x^2 - 20 + 7x = 0
don't forget that... Ax^2 +Bx+ C= 0
3 = A
7 = B
-20 = C
We gave a national verbal proficiency test that has a mean score of 500 with a standard deviation of 75. What raw score would correspond to the 60th percentile
Answer:
519
Step-by-step explanation:
Let's assume that the scores for the national verbal proficiency test follow a normal distribution.
Mean score (μ) = 500
Standard deviation (σ) = 75
According to a Z-score table, the score for the 60th percentile is roughly z = 0.253
For any score "x", the z-score is given by:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
For z = 2.53:
[tex]0.253=\frac{X-500}{75}\\X=519[/tex]
The raw score to the 60th percentile is 519.
What is the ratio of X to O?
Answer:
x:o
Step-by-step explanation:
Answer:
X : O
Step-by-step explanation:
That's a ratio.
What do you use a pen for
Answer:
writing. a good pen of the type and point size that's most comfortable for you. Generally I find that fine-point pens are the best for taking notes. You can write smaller and get more on a page. If your handwriting tends to be small, you'll probably prefer a fine point.
What should be done to solve the equation?
X- 17 = 11
Add 17 to both sides.
Add 17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.
Answer:
add 17 to both sides
Step-by-step explanation:
as it cancels itself
mark brainliest
Answer:
Add 17 to both sides
Step-by-step explanation:
i did the quiz
Use the information provided to write the equation of each circle.
Answer:
( x - 8 )^2 + ( y + 16 )^2 = 4; Option C
Step-by-step explanation:
~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~
1. With that being being said, we are given the center with coordinates (8, -16), that can be plugged into this circle equation as a and b, while x and y are kept such: ( x - 8 )^2 + ( y - ( - 16 ) )^2 ⇒ simplified to be ⇒
( x - 8 )^2 + ( y + 16 )^2
2. Given the radius 2, it is convenient for us that we can simply substitute this value of r into the circle equation: ( x - 8 )^2 + ( y + 16 )^2 = 2^2
3. Now let us square the radius 2, as to simplify to ⇒
Answer: ( x - 8 )^2 + ( y + 16 )^2 = 4
can the sides of a triangle have lengths 6, 6 , 15
Answer:
I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.
Answer:yes
Step-by-step explanation:
because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle