The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34
Given dataPrincipal =?
Final amount = $20,000
rate = 4.75%
Time = 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4.75/100
r = 0.0475 per year,
Then, solve the equation for P
P = A / (1 + r/n)^(nt)
P = 20,000.00 / (1 + 0.0475/12)^(12)(20)
P = 20,000.00 / (1 + 0.003958333)^(240)
P = $7,749.34
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What is the value of x?
again, we're assuming that both triangles are similar, and thus using proportions.
[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5
Answer:77°
Step-by-step explanation:
Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.
[tex]F=\frac{9}{5}C+32[/tex]
[tex]F=\frac{9}{5}25+32[/tex]
[tex]F=45+32[/tex]
[tex]F=77[/tex]
The answer is 77°
Find the equation in standard form of the line passing through the points (6, 3) and (1,5)
Answer:
2x+5y=27
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(1-6)
m=2/-5
m=-2/5
y-y1=m(x-x1)
y-3=-2/5(x-6)
y-3=-2/5x+12/5
y=-2/5x+12/5+3
y=-2/5x+12/5+15/5
y=-2/5x+27/5
y-(-2/5x)=27/5
y+2/5x=27/5
5(y+2/5x)=5(27/5)
5y+2x=27
2x+5y=27
Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.
There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?
Answer:
7
Step-by-step explanation:
since there are 4 dogs for every 6 people,
if we add 3 people, there will be 9 people and 7 dogs.
Helppppppppppppp helppppppppppppp
Answer: 2
Step-by-step explanation:
Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.
The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
The equations are given as:
[tex]2y = 3x - 4[/tex]
[tex]4x - 2y=4[/tex]
Make y the subject in both equations
First equation
[tex]2y = 3x - 4[/tex]
[tex]y = \frac 32x - 2[/tex]
Second equation
[tex]4x - 2y=4[/tex]
[tex]y = 2x - 2[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where b represents the y-intercept
So: By comparison,
[tex]b_1 = 2[/tex] --- the y-intercept of the first equation
[tex]b_2 = 2[/tex] --- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
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If the food bill is $38.92, then what would the tip be if you want to leave a tip of 15%?
Answer:
$5.84
Step-by-step explanation:
Ax+2y=10 through the point (4,3) find the missing coeffecient
Hi,
Ax + 2y = 10
A*4 + 2*3 = 10
4a + 6 = 10
4a = 4
a = 1
( 4 ; 3 )
↓ ↓
x y
✅(•‿•)
Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks
Answer:
$1690
Step-by-step explanation:
equation: 60w+550=s
work: 60(19)+550=s
1140+550=s
1690=s
1300 divided by 2 in hurry
Answer: 650
Step-by-step explanation:
1300 divided by 2 is 650
If you are psting your questions from an assignment i hope that its not against tos
Answer:
650
Step-by-step explanation:
this is the answer have a great day now!
Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...
For each right triangle below, find all unknown side lengths and angle measures:
can anyone help for number 8 and 9
Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
What is the quotient 931/4?
Answer:
here's a photo of the calculator to that question
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $
The cost of the entrance ticket is $6.
The equation that can be used to represent the information in the question is:
Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)
$81 = 9t + ($3 x 9)
$81 =9t + $27
In order to determine the value of t, the following steps would be taken:
Combine similar terms
$81 - $27 = 9t
Subtract similar terms
54 = 9t
Divide both sides of the equation by 9
t = $6
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A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
PLS HELP ME WITH THIS (4 x 1) + (4 x 3)
Answer:
16
Step-by-step explanation:
4x1 is 4
4x3 is 12
4+12 is 16
Answer:
16
Step-by-step explanation:
Don’t know the answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
2nd option is the correct answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
✌️❤️✌️
Pls help I’ll brainlest for correct answer you gotta graph it on the graph too
Answer:
Slope: -2/3
Y Intercept: 0,-3
Step-by-step explanation:
To find the slope, use the formula (y1-y2)/(x1-x2)
(1-(-1))/(-6-(-3))
-2/3
So the slope is: -2/3
If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)
y = -2/3x + b
insert any point of x and y
-1 = -2/3(-3)+b
-1=-2+b
so b = -3
thus, the Y intercept is 0,-3
See graph attached for graph
Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19
Answer:
2
Step-by-step explanation:
the answer is 2 because I need points for my brainly so I can get a 100 on this assignment
If a number has 8 as a factor, then both 2 and 4 are factors
Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true
What is 9 + 10 I do not know
Answer:
21, jk its 19 if you really dont know
Step-by-step explanation:
Answer:
9 + 10 = 19
just add it
hope it helps
Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4
Answer:
y=24
Step-by-step explanation:
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4
Answer:
im pretty sure it's A thx
2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
[tex]\large\underline{\sf{Solution-}}[/tex]
Given inequation:
[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]
[tex]\sf\longmapsto 8x-2<12x+4[/tex]
[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]
[tex]\sf\longmapsto 8x-6<12x[/tex]
[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]
[tex]\sf\longmapsto -6<4x[/tex]
[tex]\sf\longmapsto 4x>-6[/tex]
[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]
[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]
Therefore:
[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]
-6
Which graph represents function g if g(x)= f(2x)
Answer:
2
Step-by-step explanation:
Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answer
$540
Step-by-step explanation:
hopes this helps
ABCD is a parallelogram. Determine the length of BE.
Answer:
BE = 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , so
DE = EB , that is
- 8x + 14 = 3 - 9x (add 9x to both sides )
x + 14 = 3 ( subtract 14 from both sides )
x = - 11
Then
BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units
Answer:
A
Step-by-step explanation:I've took the test