Answer:
The final balance is $1,612.23.
The total compound interest is $612.23.
Step-by-step explanation:
The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.
Equivalent interest rate for 4% and how many times the money will be compounded to be determine.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the equivalent interest rate = 4%/12
= 1/3
= 0.33%
Now, number of times money compounded = 12 years
= 12 x 12 months
= 144
Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.
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— Зу + 5х = 26
- 2 - 5x = -16
y =
Answer:
y= -4
Step-by-step explanation:
-3y + 5x = 26
0y -5x = -14
____________
-3y = 12
y = -4
John puts $300 into a savings account. He puts more money into the account each month. After 12 months he has $1500 in his savings account. At this rate, how much will he have in his savings acount after 24 months?
Answer:
7200
Step-by-step explanation:
I'm not going to explain but i will say that you should multiply 300x 24 to get you answer
Answer:
[tex]y= 100x +300[/tex]
[tex]x=[/tex] How many months
Step-by-step explanation:
In this equation a
We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.
Hope this helps!!
1.) A ladder is leaning against the side so that the distance on the ground between
the base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?
Answer:
62.182°
Step-by-step explanation:
Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.
The angle at which the ladder is leaning is 62.18°.
What is trigonometry?Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.
For the given situation,
The length of the ladder = 15 feet
The distance between the house and the ladder base = 7 feet
The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.
we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]
The figure below shows the relationship between the sides.
⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]
⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]
⇒ θ = [tex]62.18[/tex]
Hence we can conclude that the angle at which the ladder is leaning is 62.18°.
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Which property is used in the following equation (3•4)•5-3•(4•5)
Answer:
8
Step-by-step explanation:
PLEASE HELP!!
What value of x makes this equation true?
5-2(x + 8) = 6x + 7
Answer:
Step-by-step explanation:
5-2x+16=6x+7
-2x-6x=7-5-16
-8x=-28
x=28/8=14/4=7/2=3.5
will be nice if you give me brainlies.Good luck!
What is 0.02 written as a percent? Will give brainiest is fast and correct
a.
0.0002%
b.
0.02%
c.
2%
d.
20%
Step-by-step explanation:
answer is; c. 2%
Multiply by 100 to convert a number from decimal to percent then add a percent sign %. Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %. The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.
pic below
mark me as brainliest please
thanks in advance
[tex]haveanawesomeday[/tex]
name an angle complementary to
HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.
Angle HQG
Evaluate 2n + t2 when n =-4 and t = -10
Answer:
92
Step-by-step explanation:
Given
2n + t² ← substitute n = - 4 and t = - 10 into the expression
= 2(- 4) + (- 10)² = - 8 + 100 = 92
Answer: -28
Step-by-step explanation: 2x-4=-8 and -10x2=-20 -8+-20=-28
pls mark brainiest thanks
The GCF of 12 and 30 is ___
Answer:
it is 6
Step-by-step explanation:
That’s what they both can be multiplied by
How do you find the prime factorization of 72?
Step-by-step explanation:
explanation:
Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.
Find the slope of the line
y = –3/8x − 6/5
Answer:
-3/8
Step-by-step explanation:
This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!
solve for x geometry
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
Answer:
X=19
Step-by-step explanation:
A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.
I WILL AWARD BRAINLIEST
Answer:
Choice 2 and 4
Step-by-step explanation:
3x-1>2
+1 +1
3x>3
x>1
8-4x<4
-8 -8
-4x<-4
x>1
If line b is perpendicular to line a, and line c is
perpendicular to line a, what is the slope of line c?
mc=
Answer:
y=x-2.5
Step-by-step explanation:
If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1
Answer:
mc= 1
Step-by-step explanation:
correct on edge 2020
Which situation shows a constant rate of change.
D because it is the only one that is unpredictable
Multiplication Property of Equality
If 4x divided by 2=4 then______
select a pair of numbers that have a sum of 9 and a difference of 1
Answer:
The two numbers with the sum of 9 and difference of 1 is 5 and 4.
Step-by-step explanation:
Answer:
The answer is 4 and 5.
Step-by-step explanation:
4+5 = 9
5-4 = 1
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what is the value of 4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5) when x=5
Answer:
The value is 24
Step-by-step explanation:
We want to find the value of the given expression when x = 5
Simply substitute 5 into the given expression.
Thus, we have;
4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
Any part of the expression with 5-5 will be zero and will cancel out
Thus, we have
4(3)(2) = 4 * 3 * 2 = 24
The required value of equation at x = 5 is 24.
Given ;
Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)
We have to calculate the value of expression when x = 5
To solve the equation substitute x = 5 in the given equation
= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)
= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
Simplify the equation
= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 4.(6) + 7(0) - 6(0)
= 24 + 0 - 0
= 24
The required value of the equation at x = 5 is 24.
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A function that changes in the same way all the time is?
Answer:
A function that changes the same way can be a linear function.
y = a*x + b.
Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.
for example, suppose that when x = x0, we have y = y0
y0 = a*x0 + b.
Now x0 increases by one unit, to (x0 + 1)
y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.
Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.
Now, we can define the rate of change of a function as it's derivate with respect to some variable.
In this case, if we derive with respect to x, we have:
y' = a
Then the rate of change is constant.
Each ___ real number has no real square root. What is the answer on the line?
Answer:
Negative. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers
help meee please :))))
Answer:
90°
Step-by-step explanation:
1/2x + 24 = 6X-6
Help me
Answer:
x=5.45
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
Exact form: 60/11
Decimal form: 5.45
Mixed form: 5 5/11
Hope it answers your question
whats the mass of 9.4 x 10^25 atoms of lithium
I NEEDDD HELP
On a treasure map, the actual distance varies
directly to the scaled distance. If 15 actual
miles is represented by 3 centimeters on the
map, then how many centimeters on the map
are equivalent to 135 actual miles?
(A) 27 centimeters
(B) 32 centimeters
(C) 529 centimeters
(D) 675 centimeters
Answer:
Step-by-step explanation:
10 actual miles 2 cm 120 actual miles
Draw and find the value of the missing segment below.
Answer:
7
Step-by-step explanation:
Help please ASAP! THANKS!!!!
Answer:
(3,1)
Step-by-step explanation:
Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius.
Answer:
112 ≤ T ≤ 158
Step-by-step explanation:
We need to convert the celsius temperature to Fahrenheit first.
The formula to use is
F = (C * 9/5) + 32
For 50 degrees Celsius
F = (50 * 9/5) + 32
= 90 + 32 = 112 F
For 70 degrees Celsius
F = (70 * 9/5) + 32
= 158 F
So the compound inequality is written as follows;
112 ≤ T ≤ 158
Which expression is equivalent to 4(6g - 5) - (3g + 4)?
Answer:
Step-by-step explanation:
24g-20-3g+4
21g-20+4
21g-16
g=.76
Answer:
Step-by-step explanation:
it is 21g-24
Line m passes through (5,-3) and is parallel to a line that passes through (1,-4) and (9,-2).
The required equation of the line is given as y =1/4x -17/4.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1
m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)
Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4
Thus, the required equation of the line is given as y =1/4x -17/4.
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Which value of x satisfies the equation |-2x|=10
Answer:
Step-by-step explanation:
First you will divide I-2xI on both sides that should look like this:
-2x/-2 = 10/-2
when you divide it your -2‘s should cancel out and you should be left with
-x=10/-2
when You divide 10/-2 you should get -5
10/-2= -5
your answer should look like this then
-x=-5
-5 is just one of your answers the other is 5
To get rid of the negative on the -X you have to didvide it by both sides
-x/-x=-5/-x
your answer should be
X= 5
your final answers are
-5 or 5
The value of x is "5".
Equation:[tex]|-2x|=10[/tex]
x=?
[tex]\to |-2x|=10\\\\\to 2x=10\\\\\to x=\frac{10}{2}\\\\\to x= 5[/tex]
Therefore, the final answer is "5".
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