Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $7,000
Interest rate (i)= 2.5%
To calculate the future value after x years, we need to use the following formula:
FV= PV*(1 + i)^x
Now, for 9 years:
x= 9
FV= 7,000*(1.025^9)
FV=$8,742.04
Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to [infinity]. The sequence converges to –[infinity].
Answer:
The sequence diverges
Step-by-step explanation:
The given sequence is 1, 4, 15, 64, 128, ...
By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;
The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞
Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.
6 = m/8
M=?
What is the answer for M?
Answer:
m =48
Step-by-step explanation:
1st step is to multiply both sides by 8
2nd step it would be 48=m
3rd step swap the sides.. m=48
help please !! i need it quickly
Answer: code : seashore
Step-by-step explanation :
You need to subtract each equation and the answer you get for that tube is what you list in the line underneath. Please add a comment if you have any further questions!!!
ABCD is a quadrilateral.
Sides are extended as shown.
Show that x = 100°
Solution :
Given :
ABCD is a quadrilateral.
Angle ADC = 90 degree
Angle DCB = 120 degree
Now angle DAB = 70 degree (alternate angles)
We know that the interior angles of a quadrilateral is 360 degrees.
So,
∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°
70° + ∠ ABC + 120° + 90 ° = 360°
∠ ABC = 360° - (70° + 120° + 90°)
∠ ABC = 360° - 280°
∠ ABC = 80°
Now ∠ x = 180° - ∠ ABC (Line AB extended is 180° )
= 180° - 80°
= 100°
Hence proved.
what is 3,818.24 to the nearest tenth?
Answer:
3,818.2
Step-by-step explanation:
The 2 is in the tenths place. Since the digit to the right of the 2 is below 5, just drop it.
Answer: 3,818.2
Answer:
the answer is 3,818.2.
step by step
Please help me with the question.
i need points srry
Step-by-step explanation:
Justin has 8250 followers on social media. His number of followers is increasing at a
rate of 12% per week. Which function represents his number of followers each
week?
a) f(x)=8250(12)x^
b) f(x)=8250(12)x^
c) f(x)=8250(1.12)x^
d) f(x)=12(8250)x^
Answer: B
Step-by-step explanation:
HELP HELP-
1) -2/5 x 3/7 + 7/5 x 3/7
(the / here is used for representing fraction)
Answer:
0.42857142857
Step-by-step explanation:
In a random sample of 40 teenagers, 18 enjoy reading for fun, and in a random sample of 40 adults, 12 enjoy reading for fun. Do these data provide convincing evidence that the true proportion of adults who enjoy reading for fun is less than that of teenagers
Answer: Yes. The data provides convincing evidence.
Step-by-step explanation:
In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:
= 18/40 × 100
= 45%
In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:
= 12/40 × 100
= 30%
Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.
Find j.
Write your answer in simplest radical form.
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
x=107 degree(being vertically oppostite angle)
Step-by-step explanation:
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
Answer:
0.75
Step-by-step explanation:
Given :
mean = 42000
Standard deviation = 24000
score, x = 60000
The Zscore :
Zscore = (score - mean) / standard deviation
(60000 - 42000) / 24000
18000 / 24000
= 0.75
HELP DUE IN 20 MINS!
Write the equation of the following circle:??
Answer:
its 9
Step-by-step explanation:
i pretty sure im right
sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec
Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
I don't know exactly what needs to be answered, but I have till the end of the day to get most of this done, so please help-
TEF = EGF + EFG
12x - 2 = ( 8x + 17 ) + ( 25 )
12x - 2 = 8x + 17 + 25
12x - 2 = 8x + 42
Add both sides 2
12x - 2 + 2 = 8x + 42 + 2
12x = 8x + 44
Subtract both sides by 8x
12x - 8x = 8x - 8x + 44
4x = 44
Divide both sides by 4
4x ÷ 4 = 44 ÷ 4
x = 11
simultaneous equation
2x+y=7
x-y=2
answer?
Answer:
{x,y} = {3,1}
Step-by-step explanation:
visit this for more info;
https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/
The midpoint of AB is M(5,-2). If the coordinates of A are
(6,-5), what are the coordinates of B?
Answer:
The coordinates of point B are (4,1)
Step-by-step explanation:
The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)
Find the value of tan M rounded to the nearest hundredth, if necessary.
Answer:
36.9
Step-by-step explanation:
Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.
40 is the hypothenuse because it is directly across from the right angle.
[tex]a^2 + 24^2 = 40^2[/tex]
[tex]a^2[/tex] = 32
Tan is opposite over hypothenuse.
Tan M = 36.9
Enter a decimal that equivalent to 6/100
Answer:
0.06
Step-by-step explanation:
Does the following statement refer to a growth or fixed mindset? "If I have to try, I must not be smart."
Answer:
fixed
Step-by-step explanation:
can someone tell me if i'm correct or not
you are correct
Step-by-step explanation:
mark me as a brainlist
simplify 3√225x^2y^4
Answer:
45X2y4
Step-by-step explanation:
3√225X2y4
Simplify to
45X2y4
=45X2y4
If speakers are originally £40 and the discount is 10% what was the price paid
Answer:
44
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
49 divided by what gives you 7
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
49 ÷ y = 7
7 = 49 ÷ y
7 · y = 49 ÷ y · y
7y = 49
7y ÷ 7 = 49 ÷ 7
y = 7
convert this equation to standard form. y=-7x/9+5
Answer:
7x+9y=45
Step-by-step explanation:
I need help on this question pls answer :(
Answer:
Option 3
Step-by-step explanation:
Given functions are,
f(x) = [tex]\frac{1}{x-3}[/tex]
g(x) = [tex]\sqrt{x+5}[/tex]
Therefore, composite function (f o g) will be,
(f o g)(x) = f[g(x)]
= [tex]\frac{1}{\sqrt{x+5} -3}[/tex]
This function will be defined for,
Denominator > 0
[tex]\sqrt{x+5}-3>0[/tex]
[tex]\sqrt{x+5} >3[/tex]
[tex](x+5)>3^2[/tex]
[tex]x+5>9[/tex]
[tex]x>9-5[/tex]
[tex]x>4[/tex]
And [tex]x+5\geq 0[/tex]
[tex]x\geq -5[/tex]
Therefore, domain of the composite function will be,
[-5, 4) ∪ (4, ∞)
Option 3 will be the answer.
The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?
Answer:
87cm
Step-by-step explanation:
Length x width = area
98 x width = 8526
width=8526/98
width=87
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
[tex]\sqrt{25[/tex]=c
5=c
Answer:
5 miles
Step-by-step explanation:
as we know, c^2 = 4^2 + 3^2
c^2 = 25 miles
c = 5miles
What is the answer?
It says i should put it in the order and which one comes first
Answer:
B. -11
Step-by-step explanation:
ascending order means least to greatest.
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...
3, -1, [tex]\sqrt{5}[/tex], 13, -11
-11 is the least number because it is the greatest negative number
You deposit $50,000 in a savings account. After 10 years, your balance is $65,000. What is your interest rate?
Answer:
r = .03 or 3%
Step-by-step explanation:
Interest = Principal x Rate x Time
15000 = 50000(10)r
15000 = 500000r
r = 15/500
r = .03 or 3%