Answer:
(A) 8.8 years
Step-by-step explanation:
Given that the principal amount = $ 3100
Rate of compound interest = 8% compounded semiannually.
The given formula is
[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.
From the given condition,
P=$3100
r= 8%=0.08 compounded semiannually
n=2
A=2 x 3100=$ 6200.
Put all these in the given formula to get the required time, we have
[tex]6200=3100\left(1+\frac{0.08}{2}\right)^{2t}[/tex]
[tex]\Rightarrow \left(1+0.04\right)^{2t}=6200/3100[/tex]
[tex]\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\[/tex]
On rounding to the nearest tenth of a year, t=8.8 years.
So, the invested amount will be double in 8.8 years.
Hence, option (A) is correct.
Please Helpp Asap It’s due Tomorrow
Answer:
y = 2.5
Step-by-step explanation:
if y = 0
x= 2.5
u do the y as 0 and x as 2.5
and then draw a straight line
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
answer this i need it quick PLEASE
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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Find the slope of the line through the given points: (1, 5) & (4, 7).
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Find slope using the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]
Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]
Solution : [tex]\frac{2}{3}[/tex]
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°
Answer: A
Step-by-step explanation:
I plugged 3/8 into an inverse tangent calculator and got this answer.
Find the slope of a line that contains J(-10, -7) and K(-4, 1).
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
if [tex](x_{1},y_{1}), (x_{2},y_{2}),[/tex] slope=[tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
J(-10, -7) K(-4, 1), so [tex]\frac{1-(-7)}{-4-(-10)} =\frac{8}{6}=\frac{4}{3}[/tex]
What is the difference between 216 and 125?
O A. 1
OB. 4
O C. 4.5
OD. 30.3
O E. 91
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?
Answer:
The transformation is 0.5
Step-by-step explanation:
The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.
Answer:
A- Dilation
Step-by-step explanation:
It doubles the length for all sides of the small traingle.
Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)
Answer:
x = -1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - (x + 4) + 1 = 3 - 2(x + 6)
Step 2: Solve for x
Distribute: 5x - x - 4 + 1 = 3 - 2x - 12Combine like terms: 4x - 3 = -2x - 9Add 2x on both sides: 6x - 3 = -9Add 3 to both sides: 6x = -6Divide both sides by 6: x = -1Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)Multiply: -5 - 3 + 1 = 3 - 10Subtract: -8 + 1 = -7Add: -7 = -7( -3) ^-5 = 1/x what is the value of x?
Answer:
x= -243
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.
Given the figure above, determine
Answer:
The ∠B is 60*
Step-by-step explanation:
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
what has the product of 54 and sum of -15
Answer:
It should be
product = -9 and sum = -6
Step-by-step explanation:
Your welcome
find the hcf of 225 and 270 by Euclid method
Answer:
GCF = 45
Explanation:
GCF = 45
LCM is 1350
View Solution
GCF of (225,270) by Euclidean algorithm Method
Sort the numbers into ascending order: 225,270
Take the smallest number (225) as your divisor
Work out the modulo operation of the remaining number(s) and the divisor:
270 mod 225 = 45
Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates. Our set is then:
45,225
Take the smallest number (45) as your divisor
Work out the modulo operation of the remaining number(s) and the divisor:
225 mod 45 = 0
Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates. Our set is then:
45
As there is only one number left (the divisor), it's the Greatest Common Factor
Therefore the Greatest Common Factor of 225,270 is: 45
PLEASE HELP! I WILL MARK BRAINLIEST!!!
Expand 4(-2y + 3).
-8y + 12
2y + 7
-8y + 3
2y + 12
Answer:
-8y+12
Step-by-step explanation:
4(-2y +3)
you can distribute the 4
4 • -2y + 4 • 3
= -8y +12
because they are not like terms, you cannot do anything further.
What percent of 100 is 67? *
(1) 100%
(2) 67%
(3) 167%
(4) 33%
67%
Convert fraction (ratio) 67 / 100 Answer: 67%
What Is Science?
100% (3/3)
Earth and Space Systems
67% (2/3)
Gravity's Role in the Universe
67% (2/3)
Interactions of the Earth, Moon, and Sun
67% (2/3)
Planets and Moons
100% (3/3)
Stars, Asteroids, and Comets
67% (2/3)
Energy Flow
100% (3/3)
Weathering and Erosion
100% (3/3)
The Rock Cycle
100% (3/3)
Plate Tectonics
100% (3/3)
Earth's Changing Surface
100% (3/3)
Matter and Energy
100% (3/3)
The Cycles of Earth
100% (3/3)
Natural Resources
100% (3/3)
please help me. It's urgent
Answer:
a) 7/5
Step-by-step explanation:
[tex]y-\frac{y-1}{2}=1-\frac{y-2}{3} \\Through\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\\\frac{2y-(y-1)}{2} = \frac{3-(y-2)}{3} \\\frac{2y-y+1}{2} = \frac{3-y+2}{3} \\\frac{y+1}{2} =\frac{5-y}{3} \\3(y+1)=2(5-y)\\3y+3=10-2y\\3y+2y=10-3\\5y=7\\y=\frac{7}{5}[/tex]
Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)
Answer:
yes
Step-by-step explanation:
i multiply the 16 to the ratio of meters to feet and got 52.4934
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative
Answer:
- 3 and - 2
Step-by-step explanation:
y = | x - 3 | - 2
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
can someone pls help Write the following equation as a sentence: w = (15)(165)
Answer:
width equals fifteen times one hundred sixty five
is that right or is that ok or good enough?? sorry if i am wrong....
Answer:
W = 2475
Step-by-step explanation:
I am not sure if you want the answer or not but I hope this helps
the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.
Answer:
33,600
Step-by-step explanation:
length=20m
wide=14m
area= 28m²
1m= 28
cost = 120*28= rs33600 per m²
Which of the following coordinates represents a solution to the equation 3x-2y=6?
3, -2
2, -3
0, -2
(0, -3)
Answer:
2,-3
Step-by-step explanation:
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
The length of a piece of string with 4cm
cut off. Let s represent the unknown
length of string in cm.
Answer:
is this the full question?
Step-by-step explanation:
s - 4 cm represents the length of the piece of string after cutting off 4 cm. "s" is the unknown length.
A mathematical statement proving the equality of two expressions is known as an equation. Variables, constants and mathematical operations like addition, subtraction, multiplication, division and exponentiation are frequently included. Finding the value of the unknown variable that equalizes both sides of the equation is the aim of equation solving.
Let s = the unknown length of the string in cm.
the length of the string with 4 cm cut off:
The equation "s - 4 cm" represents the length of the string after cutting off 4 cm. "s" is the unknown length that needs to be determined.
learn more about equation here
brainly.com/question/33622350
#SPJ2
The complete question is- Write in a shorter way form of equation: a The length of a piece of string with 4cm cut off. Let s represent the unknown length of string in cm.
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answer:
i will help you.......
