1. Gwen deposits $7,000 in a savings account with an annual interest rate of 2.5%. What function
represents the value of her account after x years? What will her balance be after 9 years?

Answers

Answer 1

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


Related Questions

HELP HELP-
1) -2/5 x 3/7 + 7/5 x 3/7

(the / here is used for representing fraction)

Answers

Answer:

0.42857142857

Step-by-step explanation:

The answer is 0.428571

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^

Answers

Answer: B

Step-by-step explanation:

simplify 3√225x^2y^4

Answers

Answer:

45X2y4

Step-by-step explanation:

3√225X2y4

Simplify to

45X2y4

=45X2y4

6 = m/8
M=?
What is the answer for M?

Answers

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

The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?

Answers

Answer:

87cm

Step-by-step explanation:

Length x width = area

98 x width = 8526

width=8526/98

width=87

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

Answers

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.

HELP DUE IN 20 MINS!
Write the equation of the following circle:??

Answers

Answer:

its 9

Step-by-step explanation:

i pretty sure im right

If speakers are originally £40 and the discount is 10% what was the price paid

Answers

Answer:

44

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You deposit $50,000 in a savings account. After 10 years, your balance is $65,000. What is your interest rate?

Answers

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%

what is 3,818.24 to the nearest tenth?

Answers

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

convert this equation to standard form. y=-7x/9+5

Answers

Answer:

7x+9y=45

Step-by-step explanation:

49 divided by what gives you 7

Answers

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

ABCD is a quadrilateral.

Sides are extended as shown.


Show that x = 100°

Answers

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.

Does the following statement refer to a growth or fixed mindset? "If I have to try, I must not be smart."

Answers

Answer:

fixed

Step-by-step explanation:

I need help on this question pls answer :(

Answers

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.

help please !! i need it quickly

Answers

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!!!

A=16 S=23 E=7 H=12 R=14 O=41 S=32 E=24

Answer=SEASHORE

Enter a decimal that equivalent to 6/100

Answers

Answer:

0.06

Step-by-step explanation:

can someone tell me if i'm correct or not

Answers

you are correct

Step-by-step explanation:

mark me as a brainlist

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].

Answers

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.

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-​

Answers

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

What is the answer?
It says i should put it in the order and which one comes first

Answers

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

What is the value of x?

Answers

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

Answers

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

The midpoint of AB is M(5,-2). If the coordinates of A are
(6,-5), what are the coordinates of B?

Answers

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.

Answers

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

Find j.

Write your answer in simplest radical form.

Answers

82 degrees or I’m probably the kid who just has the answer completely wrong

Answer:

Step-by-step explanation:

Please help me with the question.

Answers

Answer:b have a good day/night

i need points srry

Step-by-step explanation:

simultaneous equation
2x+y=7
x-y=2
answer?

Answers

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/

What is the length of the hypotenuse?

Answers

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

sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec​

Answers

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

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