Answer:
42
Step-by-step explanation:
It's just a distribution property where the given value of each variables (a, b, c, d) are being distributed to the given equation:
7a2-3ac+d2
7(2)(2) - 3(2)(-3) + (-2)(2)
28 + 18 - 4 = 42
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
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Please help!!! I will fail!! I will mark you brainliest!
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even? Write a system of equations that represents the situation. Let x represent the number of ribbons, and let y represent the expense or revenue. Solve the system of equations.
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
pls help i will give you like and brainliest if you are correct!!!
Answer:
+9.2=7.6x
x+9.2=38x
______
5
Solution
=1.393939393
1\2+ 1/4 rasultado y explicasion
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplemente agregue usando la calculadora y debería obtener esta respuesta. ;)
Simplify -6w+(-8)+1+(-7w)
Answer:
[tex]-13w-7[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]-6w-8+1-7w[/tex]
2) collect like terms.
[tex](-6w-7w) +(-8+1)[/tex]
3) Simplify.
[tex]-13w-7[/tex]
Therefor, the answer is -13w - 7.
I don´t like math can I get some help with this math maze.
Answer:
Go down down and to the right
bdhbdwbchdbvcwvdebvkbdebv kdbvjbwkv
Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?
3,100= 1,900 +84x
right since 84 months in 7 years
so 14.3% right?
The mean age of 5 people in a room is 31 years.
A person enters the room.
The mean age is now 30.
What is the age of the person who entered the room?
Answer:
25 year
Step-by-step explanation:
Mean = sum/no. *of observations
Initially, number of people = 5 & let the sum of their ages be S.
=> 31 = S/5
=> 155 = S
When one more entered, number = 6. Let his age be 'a'.
Sum of ages = S + a = 155 + a
=> 30 = (155 + a)/6
=> 180 = 155 + a
=> 25 = a
Which theoretical probabilities are equal to 1/3? Check all that apply.
rolling an even number on the first roll
landing on a star space on the first roll
landing at Cat Town on the first roll
not landing on a question mark or star on the first roll
rolling a number greater than 4 on the first roll
Answer:
2/6, 4/12, 8/24, 16/48
Step-by-step explanation:
2/6, 4/12, 8/24, 16/ 48.
Answer:
Its B,C,D
Step-by-step explanation:
Welcome :3<3Byeeeeee
1. What is the circumference of a tire with a diameter of 12 inches?
A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?
A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?
A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?
A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?
A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?
A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?
Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?
A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?
A18
B4.5
C27
D54
10. Which is true about the radius and diameter?
AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.
Answer:
1) A. 36
2) A. 10
3) B. 72
4) B. 42
5) A. 6
6) B. 90
7) C. less than
8) A. 22
9) D. 54
10) B. The diameter is two times the size of the radius.
Step-by-step explanation:
1) 12 x 3.14 = 36
2) 20/2 = 10
3) 12 x 2 x 3.14 = 72
4) 7 x 2 x 3.14 = 42
5) 36/3.14 = 12/2 = 6
6) 30 x 3.14 - 90
8) 11 x 2 =22
9) 9 x 2 x 3.14 = 54
Find the value of x.
Answer:
x = 25
Step-by-step explanation:
One can use the Line Tangent to a Circle theorem to solve this problem. The Line Tangent to a Circle theorem states that when two non-parallel lines are tangent to a circle (the lines touch the circle at a single point), then the distance between the intersection point and the point of tangency is the same for both lines. This theorem does go by other names, but the actual theorem content is the same.
Using this one can form the equation;
BA = CA
Substitute,
2x + 3 = 53
Inverse operations,
2x + 3 = 53
-3 -3
2x = 50
/2 /2
x = 25
2. Find the slope and the y-intercept
of the graph of the linear equation
y = 1/8x + 3
A) Slope: 8; y-intercept: 3
B) Slope: 1/3; y- intercept: 1/8
C) Slope: 1; y-intercept: 1/8
8
D) Slope: 1/8; y-intercept: 3
Answer:
D) Slope: 1/8; y-intercept: 3
Step-by-step explanation:
An equation in the form y = mx + b has certain characteristics that help us determine the slope and y-intercept of the line easily.
The variable "m" gives us the slope of the line, while the variable "b" gives us the y-intercept of the line.
Taking y = 1/8x + 3, we can see that the m-value is 1/8 and the b-value is 3.
Therefore, the slope of this line is 1/8 and the y-intercept is 3.
The answer is D) Slope: 1/8; y-intercept: 3.
Find the slope for the line that runs through points (2,5) and (-3, 7). Write your answer as a fraction using the slash as your fraction bar.
A) 2/5
B) 5/2
C) -2/5
D) -5/2
Answer:
c.
Step-by-step explanation:
5-7 = -2
2 - -3=5
-2/5
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 5, 8), has a vertex at (negative 3, 4), and goes through (negative 1, 8).
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answer:
A
Step-by-step explanation:
Edge 2021
Answer:
A. left 3, up 4
Step-by-step explanation:
Doing it on EDG right now!
Good luck to yalls :)
Help me? I’m giving brain
Answer:
4.31 as said
Step-by-step explanation:
Answer:
it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry
cubed root of 1080 in simplest radical form
How many terms can 5x+9-4b have
Answer:
8x
Step-by-step explanation:
The constants are the numbers that are NOT
attached to anything. In the expression, 3x + 2,
(2) is a constant because it is not attached to
anything. The (3) is not a constant because it
is attached to x, and it is actually a coefficient.
A specialty running shoe shop has a markup of
45% on the wholesale price of its shoes. The
wholesale price of a given pair of shoes is $65.
Answer:
65 x 1.45= 94.25
..........
she’s not skinner than you...she’s just a picky eater.
go get that big mac you been wanting ❤️
Answer:
ok
Step-by-step explanation:
Answer:
huh????
Step-by-step explanation:
find the value of the variable if necessary round your answer to the nearest tenth
Answer:
x = 24.7
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are to use the appropriate trigonometric ratio
From what we have;
9 faces the angle given as it is the opposite, x is below and it is the adjacent
The trigonometric identity that links opposite to adjacent is the tan which is the ratio of former to latter
Thus, we have that;
tan 20 = 9/x
x = 9/tan 20
x = 24.7
Solve by factoring.
x2-49 = 0
X=
Answer: Ok so just remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
(x)^2-(7)^2=(x-7)(x+7)
set to zero
x-7=0
x=7
x+7=0
x=-7
x=-7 or 7
Hope this helps have a awesome night/day❤️✨
Step-by-step explanation:
What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4
Answer:
f(x) = 1(x - 4)^2 - 2
Step-by-step explanation:
Recall that the vertex form of the equation of a parabola is
f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.
Looking carefully at the graph, we see that h must be 4 and k must be -2.
Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)
4.6 isosceles and Equilateral triangles
Answer:
Step-by-step explanation:
5555
The red arcs mean those angles are the same.
When two angles are the same the corresponding sides are also the same.
5. X = 8
6. X = 11
7. 2x-16 = 8
Add 16 to both sides:
2x = 24
Divide both sides by 2:
X = 12
8. X + 19 = 8
Subtract 19 from both sides:
X = -11
A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 24 EndFraction of a minute. At this rate, how many gallons of gas will he have pumped into his car in One-half of a minute?
1
5
10
20
it is 5
Step-by-step explanation:
Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years? What is the total amount she has to pay back?
Answer:
Interest = $75
Total to pay back = $375
Step-by-step explanation:
The total amount she will have to pay back is found by the formula:
= Amount borrowed * (1 + rate * years)
= 300 * ( 1 + 5% * 5)
= $375
The interest is therefore:
= Amount to be paid back - Amount borrowed
= 375 - 300
= $75
mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500 worth of goods for a certain month calculate mary's gross salary for that particular month
Answer:
3300
Step-by-step explanation:
Formula
Gross Salary = Basic + Commission
Givens
Basic = 3000
% = 12%
Solution
Gross = 3000 + 12/100 * 2500
Gross = 3000 + 30000/100
Gross = 3000 + 300
Gross = 3300
-1/4m + 5 = 16; m =
what does m =
Name <2 in many different ways as possible.
Answer:
2 to two too
Step-by-step explanation:
thats how much i think
b/12 = 5; b = 60 pls. Help by step please
Answer:
B=60
B divided by 12
60 divided by 12
60/12
12x5=60
60/12=5
Step-by-step explanation: took test