Answer:
60 square unit
Step-by-step explanation:
side = √225.2 = 15
perimeter = side x 4
perimeter = 15 x 4 = 60 square unit
Kennedy invested $5,000 in an account paying an interest rate of 6.4% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 15 years?
The Answer is
A~13057.38
The money, to the nearest cent, would be in the account after 15 years is $13060.
What is Daily Compound Interest ?Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis
It is given in the question that Kennedy invested $5000
Interest rate = 6.4% compounded daily
Assuming no deposits and withdrawals
T = 15 years
The formula for amount obtained after 15 years when interest is compounded daily
[tex]\rm A = (P(1 + \dfrac{r}{n})^{nt})[/tex]
[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]
A = 5000 * 2.612
A = $13060
Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.
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HELP ME WITH THIS I NEED TO ANSWER IT ASAP
Answer:
e 125x
f 125 x 12 =150
Step-by-step explanation:
He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y por último a pitagoras le he regalado las 16 canicas que me quedaban
Answer:
Ok, supongamos que en total hay N canicas.
1/5 de esas canicas se le dieron a Thales.
Entonces el resto ahora es:
1 - 1/5 = 4/5.
1/3 de esas canicas se le dieron a Arquimedes.
Entonces Arquimedes recibe:
(1/3)(4/5) = 4/15 de las canicas totales.
El resto, que eran 16, se le dieron a Pitagoras.
Ahora, las dos primeras entregas fueron:
1/5 + 4/15 = 3/15 + 4/15 = 7/15.
El resto seria:
1 - 7/15 = 8/15.
Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:
(8/15)*N = 16.
De aca podemos calcular el numero total de canicas.
N = 16*(15/8) = 30
Esto quiere decir que inicialmente hay 30 canicas.
Thales recibe 30*(1/5) = 7 canicas.
Arquimedes recibe 30*(4/15) = 8 canicas.
Pitagoras recibe 16 canicas.
Steve wants to create a system of equations so that the system has no solution. Which of these can Steve do? Check all that apply.
A.Create a pair of equations same slope and different y-intercepts.
B. Create a pair of lines in which one line lies directly on top of the other.
C. Create a pair of equivalent equations.
D. Create a pair of lines that will always stay the same distance apart.
E. Create a pair of lines that intersect at only one point.
Answer:a and d
Step-by-step explanation:
i took the quiz
Steve can do are; A.Create a pair of equations same slope and different y-intercepts. D. Create a pair of lines that will always stay the same distance apart.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have given that Steve wants to create a system of equations so that the system has no solution.
We know that when both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
So the correct option that steve can do are;
A.Create a pair of equations same slope and different y-intercepts.
D. Create a pair of lines that will always stay the same distance apart.
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3x+3y=180 what is the answer to this problem
Answer:
If you are solving the equation for x :
3x + 3y = 180
3x = -3y + 180
x = -y + 60 or x = 60 - y
If you are solving the equation for y:
3x + 3y = 180
3y = -3x + 180
y = -x + 60 or y = 60 - x
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55
Answer:
D. y = 0.42x + 55
Step-by-step explanation:
Let the equation for the cost of the truck be represented by y = mx + b,
where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.
We are given that,
Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and
Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.
This gives us the equations,
142.78 = 209m + b
112.96 = 138m + b
Subtracting these equations, we get,
29.82 = 71m
i.e. m = 0.42
Substituting the value of ' m ' in first equation, we get,
142.78 = 209 × 0.42 + b
i.e. 142.78 = 87.78 + b
i.e. b = 55.
Hence, the equation for the cost of the truck is y = 0.42x + 55
Answer:
d.y = 0.42 x + 55
Step-by-step explanation:
What is m∠RSU?
PLEASE HELP
Answer:
∠RSU is equal to 39
Step-by-step explanation:
∠RST = 90.
So, 90 - 51 = 39
So ∠RSU = 39
Hope this helps!!
Answer:
39°
Step-by-step explanation:
This is a 90° angel and we already have 51°s, so we do 90 - 51: 90 - 51 = 39I hope this helps!
4y-8-2y=4
2x+7=x-1
-3x+7=x-1
2x-1-1=x-3-(-5+x)
10=x+6+2x
3+3x-(x-2)=3x+4
-4+3x-1=2x+1+2x
-(x+3) = 2x-6
no need for an explanation just please answer then I need help for every single one
Answer:
Use the given functions to set up and simplify .
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Step-by-step explanation:
ASAP HELPPP !!!!Which of the following statements best describes a linear pair? A linear pair consists of complementary angles. A linear pair consists of supplementary angles. A linear pair consists of nonadjacent angles. A linear pair consists of vertical angles.
Answer:
A linear pair consists of supplementary angles
Step-by-step explanation:
Because a linear pair is 2 lines that form an 180 degree angle.
The statement that best describes a linear pair is that A linear pair consists of supplementary angles. The correct option is B.
What is Supplementary Angle?When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.
for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.
Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.
Hence, the statement that best describes a linear pair is that A linear pair consists of supplementary angles.
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What is the slope of the following equation? 5x - 2y = 13
Answer:
[tex] \frac{5}{2} [/tex]
Step-by-step explanation:
[tex]5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y = \frac{5}{2} x - \frac{13}{2} \\ equating \: it \: with \\ y = mx + b \\ slope(m) = \frac{5}{2} [/tex]
What is the value of the expression when s = 2 and t = -1.5?
–35 – $3] + 3t
o
-4.5
4.5
-13.5
13.5
Help please??!
Answer:
-13.5
Step-by-step explanation:
trust me
If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D Which property is shown?
Answer:
Substitution Property
Step-by-step explanation:
So we know that:
[tex]m\angle A=m\angle B[/tex]
And we also know that:
[tex]m\angle A+m\angle C=\angle D[/tex]
And by using a specific property, we get that:
[tex]m\angle B+m\angle C=\angle D[/tex]
Essentially, we substituted B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
PLEASE HELP ME I WILL MARK YOU BRAINLIEST
Answer:
D
Step-by-step explanation:
Their are 9 in the first row and their are 5 rows all together so 9 times 5 is 45.
The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
1. If h is an arithmetic sequence, write a definition for the nth term of h. Explain
or show your reasoning.
2. If h is a geometric sequence, write down a definition for the nth term of h. Show reasoning
Answer:
Step-by-step explanation:
Given the first two numbers of a sequence as 2, 6...
If it is an arithmetic difference, the common difference will be d = 6-2 = 4
Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d
a is the first term = 2
d is the common difference = 4
n is the number if terms
Substituting the given values in the formula.
Nth term Tn = 2+(n-1)4
Tn = 2+4n-4
Tn = 4n-4+2
Tn = 4n-2
2) If the sequence us a geometric sequence
Nth term of the sequence Tn = ar^(n-1)
r is the common ratio
r is gotten by the ratio of the terms I.e
r = T2/T1
r = 6/2
r = 3
Since a = 2
Tn = 2(3)^(n-1)
Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)
Divide. 5892 ÷ 18 in fraction form.
Answer: mixed number 327 1/3
Step-by-step explanation:
5892/ 1÷18/ 1=327 1/3
put each number over one to turn it into a fraction.
The answer in fraction form is 982/3 or 327 (1 / 3).
Given,
5892 ÷ 18
We need to divide it in fraction form.
How do we divide a fraction?Suppose we have two fractions:
a/b and c/d
Divide a/b by c/d
Now,
a/b ÷ c/d
a/b x d/c
Divide 5892 ÷ 18 in fraction form.
Write 5892 and 18 in fraction form:
- 5892/1
- 18/1
Now,
= 5892 / 1 ÷ 18/1
= (5892/1) / (18/1)
= (5892/1) x (1/18)
= (5892 x 1) / (1 x 18)
= 5892 / 18
Write it in 6 multiples
= (6 x 982) / (6 x 3)
6 gets cancelled
= 982 / 3
We can write it in mix fraction.
= 327 (1 / 3)
Since,
3 x 327 = 981
981 + 1 = 982
Thus the answer in fraction form is 982/3 or 327 (1 / 3).
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5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy
Answer:
25
Step-by-step explanation:
what is the value of 10^-3
Pls help I’m stuck on it
Answer:
Step-by-step explanation:
its a
Answer:
I believe it C
Translate and solve into an algebraic expression.
The product of b and -25 is 175
Answer:
- 25b = 175
Step-by-step explanation:
Since, The product of b and -25 is 175.
[tex] \therefore \: b \times ( - 25) = 175 \\ \huge \purple{\therefore \: - 25b = 175}[/tex]
Answer:
-25b = 175
b=-7
I hope this the correct answer
Step-by-step explanation:
The expression would -25b=175
divide -25 on both sides 175/-25 = -7
Karis receives $90000 per year working as a manager. She spends 15% every 3 month on her daughters college tuition. Write a function rule for the amount of money that Karis still has as a function of time in month
Answer:
[tex]f(m) = 90000 - 0.05m[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$90000[/tex]
[tex]Spending = 15\%[/tex] -- every 3 months
Required
Determine the function that shows her monthly balance:
Represent month with m
If she spends 15% every 3 months;
Then
She spends 5% every month
i.e.
[tex]monthly = \frac{15\%}{3}[/tex]
[tex]monthly = 5\%[/tex]
If [tex]1\ month = 5\%[/tex]
Then
[tex]m\ months = 5\% * m[/tex]
Monthly balance (f(m) is then calculated as:
[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]
[tex]f(m) = 90000 - 5\% * m[/tex]
[tex]f(m) = 90000 - 0.05 * m[/tex]
[tex]f(m) = 90000 - 0.05m[/tex]
Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).
Answer: 13
Step-by-step explanation:
f(0)=2(0)-2
f(0)=-2
g(3)=5(3)
g(3)=15
-2+15=13
Hope this helps!
Answer:
Step-by-step explanation:
f(0) = 2(0) - 2 = 0 - 2 = -2
g(3) = 5(3)= 15
-2 + 15 = 13
Frankie bought a $200 pass to a local
carwash. As a promotion, his first 3 visits
are free and a discounted price of $8.00 per
visit for his succeeding visits. How many
washes will Frankie get in all for his $200?
Answer:
28 visits
Step-by-step explanation:
3 (free visits)+ 25=28
i got 25 from 25x8=200
200 is the price needed to be reached
of the function.
16. y = 3x + 4
Domain:0, 5, 7, 10
find the range
Answer:
all is pictured and shown
24677899655995468385477/2468427843686545744
Find the distance between points (-1,-4) and (2,2)
Answer:
5
Step-by-step explanation:
Can someone please help me with this question?
Answer: (3,2)
Step-by-step explanation:
Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Answer:
It is a function.
Step-by-step explanation:
Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
There are no repeating x-values given.
The relation should be a function.
Hope this helps.
Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.
What is a Set?The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.
A set's elements are all the items that make up the set.
As per the given data in the question,
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Due to the absence of repeated x-values.
So,
The relationship need to be functional.
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What does 70.2 rounded to the nearest ten?
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
[tex]x { }^{2} < x + 2[/tex]
interval notation