Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.
The compound interest formula is expressed mathematically as;
A = P(1 + r/n)^(n*t)
Where A is amount accrued, P is principal, r is interest rate, n is number of times interest applied per time period and t is time.
Given the data in the question;
Principal P = $3,000Annual interest rate r = 3% = 3/100 = 0.03Compounded monthly n = 12Time t = 10 yearsPlug the given values into the formula above and solve for A.
A = P(1 + r/n)^(n*t)
A = 3000(1 + 0.03/12)^(12 × 10)
A = 3000(1 + 0.0025 )¹²⁰
A = 3000(1.0025 )¹²⁰
A = 3000( 1.34935354 )
A = $4,048.06
Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.
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Katherine is requesting a large print job from the printing office. She has a 51-page document she wants printed double-sided and stapled. She needs 3,550 copies.How many pieces of paper are required to complete this request?
Answer:
181,050 pieces of paper.
Step-by-step explanation:
If she needs 3,550 copies of a 51 page document, you can easily solve this problem by multiplying the amount of copies needed by pages per copy. 3,550 x 51 is 181,050.
Describe how factoring a quadratic expression ax^2 + bx + c, where a ≠ 1, is different from factoring x^2 + bx + c.
Will give Brainliest to whoever has the best answer!
Answer:
18bx
Step-by-step explanation:
2+bx * 2 and then divided by 1
Answer: 1. Dividing the expressions ax^2+bx+c by a is a different step.
Step-by-step explanation: Mark me as brainliest
4.74 kilograms= grams
Quadrilateral B E A R BEARB, E, A, R is inscribed in circle O OO. What is the measure of ∠ R ∠Rangle, R? ∘ ∘ degrees O O A A E E B B R R 7 4 ∘ 74 ∘ 9 2 ∘ 92 ∘
Answer:106
Step-by-step explanation:
Which of the following represents “two times the sum of a number and fifteen is esqueleto to six times the number”?
Answer:
2(n + 15) = 6n
Step-by-step explanation:
Select a setting so that each given point will lie within the viewing window.
(-13,3), (0,0).(-2,-7)
Answer:
The given points are
[tex](-13,3)\\(0,0)\\(-2,-7)[/tex]
The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.
The given maxium horizontal coordinate is 0.
The given minimum horizontal coordinate is -13.
The given maximum vertical coordinate is 3.
The given minimum vertical coordinate is -7.
Now, we extend each maximum and minimum value by 2 units to create the setting.
So, the setting is
[tex]x_{min}=-15\\x_{max}=2\\ y_{min}=-9\\y_{max}=5[/tex]
With a scale of 2 units.
decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501
Answer: 2.15, 2.2, 2.2012, 2.501
Answer:
the answer is 2.15, 2.2, 2.2012, 2.501.
Step-by-step explanation:
A drawer contain pens , 14 blue pens and 8 black pens , 14 silver paper clips , and 16 white paper clips . If you randomly select a pen and paper clip from the drawer , what is the probability that you select a red pen and white paper clip
Step-by-step explanation:
Total pens = 22
Total clips = 30
Probability of red pen = 0
Because there are no red pens
Probability of white clip = 16/30 = 8/15
Aron has a bag of marbles that contains three red (R) marbles, four green (G) marbles, and three blue (B) marbles. 3 red marbles, 4 green marbles, and 3 blue marbles. Which expression represents the probability of randomly selecting a green (G) marble, replacing it, and then randomly selecting a red (R) marble? StartFraction 1 over 10 EndFraction (StartFraction 1 over 10 EndFraction) StartFraction 4 over 10 EndFraction (StartFraction 3 over 10 EndFraction) StartFraction 4 over 10 EndFraction (StartFraction 3 over 9 EndFraction) One-fourth (one-third)
Answer:
3/25
Step-by-step explanation:
3 red marbles, 4 green marbles, and 3 blue marbles = 10 marbles
P(green) = number of green / total = 4/10 = 2/5
We replace it
3 red marbles, 4 green marbles, and 3 blue marbles = 10 marbles
P(red) = number of red / total = 3/10
P(green, replace,red) =2/5*3/10 = 3/25
Answer: its C.) 5/48.
Define dot product, inner product, cross product.
Answer:
Dot product. ... In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used and often called "the" inner product (or rarely projection product) of Euclidean space even though it is not the only inner product that can be defined on Euclidean space; see also inner product space.
Step-by-step explanation:
Answer:
- A dot product is the product of the magnitude of the vectors and the cos of the angle between them.
- A cross product is the product of the magnitude of the vectors and the sine of the angle that they subtend on each other.
- An inner product is a generalization of the dot product.
Step-by-step explanation:
Dot product - the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. These definitions are equivalent when using Cartesian coordinates.
Cross Product - The cross product is a mathematical operation which can be done between two three-dimensional vectors. It is often represented by the symbol. After performing the cross product, a new vector is formed. The cross product of two vectors is always perpendicular to both of the vectors which were "crossed".
Inner product - In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar.
4xy is the greatest common factor of 36xy^2 - 48x^2y
Answer:
Step-by-step explanation:
12xy(3y - 4x)
the GCF is 12xy
The slope of any line perpendicular to , where A (0, -3) and B (4, 9) are two points on the line, is m =
-3
-1/3
3
Answer:
The answer is b
Step-by-step explanation:
A company is worth $79,600,000. Write this number in scientific notation.
79,600,000=
Answer:
The answer is 7.96×10⁷ .
Step-by-step explanation:
As the decimal moves to the left , you have to add one more power to the base 10 :
e.g
7 960 000.0 = 7 960 000×10¹
796 000.00 = 796 000×10²
79 600.000 = 79 600×10³
7 960.0000 = 7 960×10⁴
796.00000 = 796×10⁵
79.600000 = 79.6×10⁶
7.9600000 = 7.96×10⁷
* Take note :
[tex]a \times {10}^{n} [/tex]
0 < a < 10 ('a' must be greater than 0 but smaller than 10)
There are 17 trees along the road from Basil's home to a swimming pool. On his way way to and from a swim Basil marks some trees with a red stripe. On his way to the pool he marks the first, the third, the fifth tree and so on. On his way back again, he marks the first tree he comes to, the fourth tree, the seventh tree and so on, missing out two trees each time. By the time he gets home how many trees have no mark?
Answer:
Number of trees not marked is 6
Step-by-step explanation:
Base on the scenario been described in the question, we can find the solution in the file attached
Rewrite the following equation in slope-intercept form.
9x + 11y = 7
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=-(9/11)x+7/11
Step-by-step explanation:
write the equation in form y=mx+c. where m is the gradient
What is the x please answer me quick
help me for brainetest
Answer:
1 and 1/6
Step-by-step explanation:
if you simplify 6/6 is equal to 1 and the extra 1/6 is the fraction so the answer is 1 and 1/6
plz give me brainiest
The right answer is 1 1/6
look at the attached picture
hope it helps..
Good luck on your assignment
6x^2 - 19x + 10
Factor
Answer:
(2x-5)(3x-2)
Step-by-step explanation:
1)When factoring quadratic equations in for ax²+bx+c you need to separate the b term in a way that the two addends you separate it by should equal a•c. Just do trial and error. In this case you should get -4 and -15. Your separated equation should be:
6x²-4x-15x+10
2)now factor out a common factor from the first two terms and one from the last two terms you should have:
2x(3x-2)-5(3x-2)
3)finally rewrite this equation into two separate factors and you have your answer.
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?
O 5 < n < 15
O 5 < n < 20
O 15 < n < 20
0 15 < n < 25
Intro
Done
Answer:
the correct answer is 15<n<25
Step-by-step explanation:
The three inside angles (A,B and C) of a right angled triangle are in the ratio 7:18:11
the smallest angle is 35 degrees
work out angles A,B and C
This is overdetermined. Without looking at the ratio (except for the order of the sides) the actute angles in a right triangle are complementary so the answer must be:
Answer: A=35°, C=90°, B=55°
We can do it the way they like.
7+18+11 =36
so to get 180 degrees we need to scale the ratio elements by a factor of 5.
7:18:11=35:90:55
A is the smallest. We see C is indeed a right angle and B is complementary to A.
Please help me answer c
The solution and the answer are in the photograph.
What is the mode?
–244–2–44–2–2
Answer:
mode is -2
Step-by-step explanation:
mode is the number that appears the most time in data set
in this case -2
Morgan has 5 blue t-shirts , 3 green t-shirts and 2 red t-shirts . She randomly picks a shirt. What is the probability of choosing each color?
Answer:
Confusing question but I think it's 10:10
Step-by-step explanation:
Total outcome = 5:3:2
= 5+3+2
=10.
Probability = number of success
Total outcome
= 10/10
Therefore the probability of Morgan choosing each colour is 10:10.
CAN ANYBODY GIVE A QUICK ANSWER
Answer:
It is C
Step-by-step explanation:
The temperature outside dropped 13°F in 7 hours. The final temperature was -2°F. What was the starting temper
Answer:
11 degrees Fahrenheit
Step-by-step explanation:
-2 + 13 = 11
Answer:
11°F
Step-by-step explanation:
What is the arc length of cd
Answer:
6.10865
Step-by-step explanation:
S = r * Θ (in radians)
Θ = 50
50 * pi/180 = [tex]\frac{5}{18} \pi[/tex] or 0.87266
S = 7 * 0.87266
S = 6.10865
Please help me in this worksheet it’s really important
Answer:
AB:0:2
BC:6:4
CD:9:6
DE:9:15
Step-by-step explanation:
Which functions have the same rate of change?
y=0.3x-6
y=3x-8
y=0.3x+4
y=0.03x+1
1:A and D
2:B and C
3:A and C
4:C and D
Answer:
Option 3
Step-by-step explanation:
All equations are in slope-intercept form. [tex]y=mx+b[/tex]
The 'm' is the slope.
The 'b' is the y-intercept.
The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.
Let's look over the equations:
Equation A:[tex]y=0.3x-6[/tex]
In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
Equation B:[tex]y=3x-8[/tex]
In this equation, 3 replaces 'm', so the rate of change for this equation is 3.
Equation C:[tex]y=0.3x+4[/tex]In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
Equation D:[tex]y=0.03x+1[/tex]In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.
Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.
Please help me with Algebra 2. It's about radians and degrees.
Answer:sin30 cos 40 tan 90
Step-by-step explanation:
If f(x) = 5x + 2x and g(x) = 3x - 6, find (f+g)(x).
O A. 5X + x-6
O B. 5x – X+6
O C. 10x- 6
O D. 5* + 5x – 6
Answer:
10x -6
Step-by-step explanation:
f(x) = 5x + 2x = 7x
g(x) = 3x - 6
f(x) + g(x) = 7x+ 3x-6
= 10x -6