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.
Hey guys, I know this is a lot so I am offering a lot of points. I was stumped on this paper, I just need a little help on how to complete it :)
16. Find the value of x*
8. 2x-6
A 10
B 7
C -7
D -10
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[tex]2x - 6 = 8[/tex]
Add sides 6
[tex]2x - 6 + 6 = 8 + 6[/tex]
[tex]2x = 14[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{14}{2} \\ [/tex]
[tex]x = 7[/tex]
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The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
hellpppp
what's the missing number? 7/16 = ?/64
a) 4
b) 21
c) 28
d) 55
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[tex] \frac{7}{16} = \frac{x}{64} \\ [/tex]
[tex] \frac{x}{64} = \frac{7}{16} \\ [/tex]
Multiply sides by 64
[tex]64 \times \frac{x}{64} = 64 \times \frac{7}{16} \\ [/tex]
[tex]x = 4 \times 7[/tex]
[tex]x = 28[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
Answer:
AE = 26 units
Step-by-step explanation:
Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.
AE = 2(AC) = 2(CE) or
AE = AC + CE
Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.
BA is congruent to DE.
Since DE = 12 units, therefore, BA = 12 units.
BC = 5 units (given)
Using Pythagorean Theorem:
AC² = BA² + BC²
AC² = 12² + 5² (substitution)
AC² = 144 + 25 = 169
AC = √169
AC = 13 units
Since ∆ABC = ∆EDC, therefore:
AE = 2(AC)
AE = 2(13)
AE = 26 units
Find the 39th term of the following sequence. 17,11, 5, -1
Answer:
-330
Step-by-step explanation:
a39= 17+ (39-1) * -6
17+ 38 = 55
55*-6 = -330
hurry please!!!!!!!!!!!!!!!!
Answer:
Reflection over the y axis
Step-by-step explanation:
The x's are changing not the y's
the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2
Answer:
Answer: x=2 (third option)
Step-by-step explanation:
Equation of a line
Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:
y - k = m ( x - h )
We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:
y - 9 = -3 ( x - (-1) )
Operating:
y - 9 = -3 ( x + 1 )
y - 9 = -3x - 3
Adding 9:
y = -3x + 6
To calculate the zero of the function we set y=0 and solve for x:
-3x + 6 = 0
Subtracting 6:
-3x = - 6
Dividing by -3
x = - 6 / ( - 3 )
x = 2
Answer: x=2 (third option)
If x = 3 and y = 5, work out the value of 4x-2y and 2x² + 3y²
Answer:
4 × 3 - 2 × 5 = 12 - 10 = 2
2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Answer:
A'=(3,-2) B'=(-1,-4) C'=(-5,-3)
Step-by-step explanation:
90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot
help!!
3x+6x+14=41
Solving Multi-Step Equations by Combining Like Terms
Answer:
x = 3
Step-by-step explanation:
Given
3x + 6x + 14 = 41, that is
9x + 14 = 41 ( subtract 14 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer:
x=3
Step-by-step explanation:
3x+6x+14=41
9x + 14 = 41
- 14 = - 14
9x = 27
x=3
riddle
What runs around the whole yard without moving?
Answer:
a yard stick, maybe I'm right
Answer:
a fence
Step-by-step explanation:
HAHAHA LOL
Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
A) Mixture B
B) Mixture A
C) Both the mixtures are equally strong.
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
so can someone of u say the answer becoz I couldn't find the answer I am new here the question is given
Answer: The first one is 9/49 and in decimal form it's 0.18367... the second one in fraction form is 16807/161051 and in decimal form is 0.10435824...
Step-by-step explanation: hope this helped
Choose scales for the coordinate plane shown so that you can graph the points J(10, 5), K(20, 4), L(5, −5), M(−15, 2), and N(−15, −4). PLEASE QUICK I HAVE 15 mins
Answer:
x axis use 5 and y axis use 1
Step-by-step explanation:
5 on the x axis would make it big enough to fit up to 30 on both positive and negative sides. 1 on the y axis would fit 6 on both sides. this makes it big enough to fit all the coordinates
Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠GOB: ____________
Answer:
The verticle angle to GOB is AOF.
Step-by-step explanation:
Look at the picture, it's pretty clear
Bernard says “When you halve a whole number that ends in 8, you always
get a number that ends in 4”
Write down an example to show that Bernard is wrong.
is this a trick question?
Answer:
Bernad is WRONG.
Step-by-step explanation:
Let us take the number '18' (ends with 8)
The half of 18 is '9' (doesn't end with 4)
Let us take the number '38' (ends with 8)
The half of 38 is '19' (doesn't end with 4)
Therefore, Bernard is wrong.
Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”
It can be written mathematically:
Let's suppose the number is '18' (ends with 8)
The half of 18 = 9 (doesn't end with 4)
Let's suppose the number is '38' (ends with 8)
The half of 38 = 19 (doesn't end with 4)
Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Which expression is equivalent to – (4-3)?
A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)
Answer:
answer is really hard and small, but I can't help because I don't know,
sorry not sorry
lol
regards,
Rosemary
Help pls help pls help pls help pls help pls
Answer:
Domain: -2 < x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:
(-2, 3] or -2 < x ≤ 3
Answer:
ramen is the true answer to lifes problems
Step-by-step explanation:
what is 2 over 5 simplafied
Answer:
2/5 simplified is 1/2.5 or .4
Step-by-step explanation:
You simplify by dividing the numerator by the denominator. Thus 2/5 is
.40.
Hope this helps!
Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.
Answer:
sister it's a picture study Mere question ka pahle aap jawab dijiye aur aapka Jo answer hai vah galat hai samjhe
Evaluate: 21x: 8 when x = 4*
Answer:
10.5
Step-by-step explanation:
21(4) / 8
84 / 8
10.5
What does a,b,c,d,e equal to
Step-by-step explanation:
360÷60=6 one angle
a=18
b=36
c=84
d=108
e=114
what is the degree measure of f?
Answer:
98
Step-by-step explanation:
hi there i dont kno but u can ask your mom
Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.
The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
To learn more about Compound interest click here:
brainly.com/question/25857212
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If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?
Answer:
Step-by-step explanation:
The average rate of change of a function over an interval is simply the slope over the interval because:
[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]
We have to know f(6) and f(-4)
[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]
can someone help me with this question 2x+3=15 is x
Answer:
x=6
Step-by-step explanation:
2x+3=15
subtract 3 on both sides
2x=12
x=6
PLEASE HELP PLEASE I NEED IT TODAY
Answer:
D
:) Hope this helps.
Step-by-step explanation: