Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.
What is Continuous Compound Interest?Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.
[tex]\rm A = Pe^{rt}[/tex]
where,
A is the principal amount after t number of years,
r is the rate at which the principal is been compounded, and P is the principal amount.
Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,
[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]
Hence, the worth of the investment after a period of 10 years will be $850.34.
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Pls help urgent i will marke the brainlist
Answer:
Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.
OR
You could just solve the math and show that they are equivalent.
what is the positive solution of 3x^2-10-8=0?
Answer:
x=4
Step-by-step explanation:
I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].
You can simplify this to:
[tex](3x+2)(x-4)=0[/tex]
This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4
The only positive solution therefore is x=4
Answer:
The answer is 4
Step-by-step explanation:
Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)
D=d^2=b^2-4ac=100+96=196⇒d±14
There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3
The positive real root is : 12/3=4
can anyone help plssss??
Answer:
42 degrees
Step-by-step explanation:
48+90=138
180-138=42
67/100 simplificado
1/4 simplificado
[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
A la igual que la otra Operación:
[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
Ninguna tiene factores comunes.
Espero que te sirva, salu2!!!!
The fraction 67/100 It cannot be simplified.
It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
The fraction 1/4 Nor can it be simplified.
Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
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The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.
Answer:
Charlotte's age = 30 years
Olivia's age = 50 years
Step-by-step explanation:
Present ages of Charlotte & Olivia = 6:10.
Then, their present ages are:
Charlotte = 6x
Olivia = 10x
Now, in 10 years, their ratio = 4:6
Then,
Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years
[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]
So,
Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]
Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Find the value of sin E rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
using sin formula
[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]
Jackie is a student of UEW. This year, her age is a multiple of 6. Next year, her age will be a multiple of 5. If Jackie is younger than 40, how old will she be next year?
Using the multiples of 5 and 6, it is found that she will be 25 years old next year.
What are the multiples of 5 and 6?They are given as follows, considering numbers less than 40:
M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.
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I need help please ASAP??!!
Answer:
i got you the answer is .....
Step-by-step explanation:
there you go
2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?
Answer:
30 books
Step-by-step explanation:
36 / 1.2 = 30
You can pack 30 books and it will not exceed 36 Kg.
- - -
Side Note:
We don't know how heavy the suitcase is...
Which expression is equivalent to the following complex fraction?
1 minus StartFraction 1 Over x EndFraction divided by 2
StartFraction x minus 1 Over 2 x EndFraction
Negative one-half
StartFraction 2 x minus 2 Over x EndFraction
StartFraction 2 x Over x minus 1 EndFraction
The complex fraction is
[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]
On comparing
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]
Middle one
Answer:
It is A.) x-1 / 2x
Step-by-step explanation:
correct on edge
If you complete the square in the quadratic equation , you get the quadratic formula for the solutions x _______.
Answer:
[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
ax² + bx + c = 0
[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]
[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]
[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Will give brainliest.
Answer:
Im pretty sure its "A. 6"!
Have a nice day! :)
What is the value of x in the solution to this system of equations?
Answer:
x = 10/3
Step-by-step explanation:
3x = 2y + 14
y = -6x + 18
3x = 2(-6x+18) + 14
3x = -12x + 36 + 14
15x = 50
x = 50/15
x = 10/3
Answer:
10/3
Step-by-step explanation:
3x= 2y+14-------(1)
y= -6x+18------(2)
from equation (2) put y= -6x+18 into equation (1)
3x= 2(-6x+18)+14
3x= -12x+36+14
3x+12x= 50
15x= 50
dividing bothsides by 16
x = 50/15
x= 10/3
Find the value of y…
Answer:
y = 94
Step-by-step explanation:
Linear Pair:
The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180
2x + 36 = 180 {linear pair}
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)*180
= ( 6-2)*180
= 4 * 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
[tex]\sf \boxed{y = 94^ \circ}[/tex]
Answer:
94°
Step-by-step explanation:
2x + 36 = 180 (angles on a straight line)
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180
= 4 × 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
y=94 °
need help with my aleks
Answer:
Below in bold,
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
So the equation is:
7x + 8 + 4x + x + 4 = 180
12x + 12 = 180 <-------- Required equation
12x = 168
x = 14.
m< L = 14 + 4 = 18 degrees
m< M = 7(14) + 8 = 106 degrees
m< N = 4(14)= 56 degrees
How many fluid ounces are there in 3 pints and 8 fluid ounces?
Answer:
56
Step-by-step explanation:
((3*2)+1)*8
Answer:
1 pint equals 16 ozs. so the answer in 48
1. From where do we get fibre?
Answer:
Grain, fruit, and vegetables are where natural fibers are found.
Pls help me with this
Let's find the area!!
«------«----------»----------»
2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626«------«----------»----------»
Therefore, your answer is D. 26cm^2!!!!!
Find two pairs of integers whose product is -20.
Answer:
-10 x 2 and -5 x 4
Step-by-step explanation:
An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.
Applicable equations:
-10 x 2 = -20
10 x (-2) = -20
-5 x 4 = -20
5 x (-4) = -20
-1 x 20 = -20
1 x (-20) = -20
Find the lateral area and surface area of the regular square pyramid.
Round to nearest tenth.
Answer:
Step-by-step explanation:
lateral edge is an edge from the base to the vertex. As opposed to a base edge.
If the base edge is 6, the base diagonal is 6√2
Now draw a right triangle from the center of the base to the vertex, including one base corner.
(6√2/2)^2 + h^2 = (√34)^2
18 + h^2 = 34
h = 4
So, now we have height 4 and base edge 6, so the faces are triangles with
base = 6
height = √(3^2 + 4^2) = 5
lateral area is thus 4 * 1/2 (6)(5)
add the square base if desired.
What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?
Answer:
Step-by-step explanation:
y - 5 = -2(x + 1)
y - 5 = -2x - 2
y = -2x + 3
Triangle ABC is similar to triangle DEF.
a. Find the scale factor from triangle ABC to triangle DEF.
b. Find x.
c. Find y.
Answer: x=7.7, y=40
3/x = 15/38.5
38.5*3=115.5
115.5/15= 7.7
x=7.7
3/8 = 15/y
15*8=120
120/3= 40
y=40
orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7
Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.
In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
On a clock, numbers 1 to 12 are printed on it.
If numbers on the clock face are removed.
As we know, the clock is a circle and has a total angle of 360 degrees.
Angle between the two numbers = 360/12 = 30 degree
Then the following instructions have to be followed in order to move the minute hand from 2 to 6:
Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
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Jack invests money in an account paying a simple interest of 7.1% per year. If mm represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?
m+0.071m+0.071
1.0071m1.0071m
1+0.071m1+0.071m
m+0.071mm+0.071m
The balance after a year will be represented by an expression m + 0.071m.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Jack invests money in an account paying a simple interest of 7.1% per year.The total amount will be calculated as:-
Total amount = Principle + interest rate x priciple
Total amount = m + 0.071m
Therefore the balance after a year will be represented by an expression m + 0.071m.
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Please help need urgent
Convert the cm to feet for the base and the height:
12/2 = 6 x 3 = 18 feet
9/2 = 4.5 x 3 = 13.5 feet
area = 1/2 x base x height
Area = 1/2 x 18 x 13.5
Area = 121.5 square feet
answer: 121.5 square feet
The art club had an election to select a president.
75\%75% of the 6060 members of the club voted in the election.
How many members voted?
Answer:
45
Step-by-step explanation:
Subtract 60 from 75% and multiply the answer.
use the graph of f to solve for f(x)= -3 for x
Answer:
b
Step-by-step explanation:
Paul reads on a map that 1 inch represents 7 miles. He measures the distance between two spots to be 8.5 inches. What is the real distance?
Answer:
59.5 miles
Step-by-step explanation:
1 in = 7 mi
7 x 8.5 = 59.5
Convert: 92 ounces = _____ pounds _____ ounces
9 pounds 2 ounces
5 pounds 2 ounces
1,472 pounds 0 ounces
5 pounds 12 ounces
Answer:
5 pounds and 12 ounces.
Step-by-step explanation:
Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^
Answer:
5 pounds 12 ounces
Step-by-step explanation:
I copied the other answer
A rectangular room has a length of 16 ft and a diagonal of 22 ft. What is the approximate
width of the room?
Answer:
no
Step-by-step explanation:
Answer: 15.09967ft
Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^