Faith invested $4,100 in an account paying an interest rate of 2.6%
compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach
$5,290?

Answers

Answer 1

Answer:

1 year (10 months)

Step-by-step explanation:

Answer 2

Answer:

10    

Step-by-step explanation:

I got it right


Related Questions

What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)

Answers

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.

Answers

Answer: y+7= 3(x-5) C

Step-by-step explanation:

What is the absolute value of -7?
1/7
-1/7
-7
7

Answers

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Given m ||n, find the value of x.
(7X+9)
(9x+5)°

Answers

Answer:

         x = 2

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2

pls help due asap
:..

Answers

Answer:

a

Step-by-step explanation:

what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay​

Answers

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?

Finding percent rate of change in given function:


For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

Learn more about exponential growth or decay here:

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Find the area of the shape shown below plz help

Answers

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answers

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

To lean more on Arithmetic progression click:

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Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Answers

Answer:

The answer is [tex]4.5^7[/tex]

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].

Which graph best represents a function with range -4 ≤ y ≤ 3?

Answers

Answer:

3rd one

Step-by-step explanation:

The range of a function is the set of output values the function can take

The graph that represents the range [tex]-4 \le y \le 3[/tex] is graph (b)

The range of the function is given as:

[tex]-4 \le y \le 3[/tex]

The above inequality can be rewritten as:

[tex][-4,3][/tex]

This means that,

The output values start from -4 and ends at 3 (inclusive).The endpoints are closed values at -4 and 3

The graph that represents this range is graph (b)

Read more about range at:

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Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ

Answers

Answer:

D

Step-by-step explanation:

Pls help I need help
Hehhehrhrh

Answers

Answer:

C) 11.4

Step-by-step explanation:

Is 5.6742 rational number

Answers

Answer:

YES

Step-by-step explanation:

Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

 

2516.22

Step-by-step explanation:

£

 

2516.22

plz help me
(a²-b²)²+a²b²
factorise
plzz​

Answers

Answer:

a^4+b^4−a^2b^2

Step-by-step explanation:

you have to subtract first

A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?

Answers

666.11
299.75/.45=666.11

since you’re looking for original price instead of the price on sale, you would do the opposite which is to divide.

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

PLEASE, PLEASE HELP D:
write the linear equation given :

1. slope = 1/4; y-intercept =7

2. slope = -3; y-intercept = 2/3

3. slope = 2/3; y-intercept = 2/3

4. slope = -2; y-intercept = -1/2

5. slope = -3/4; y-intercept = -3

Answers

Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

4. One number is 16 more than another. The ratio of the smaller number to
the larger number is 3: 7. What is the value of the smaller number?

Answers

Answer:

12

Step-by-step explanation:

So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).

This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.

This means that the smaller number is 12.

hope that makes sense!

2c +3= -11
Remember:

Answers

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

When graphing and using the slope-intercept equation, the slope top number tells us to do what? and the bottom number tells us to do what?

Answers

Answer:

Rise over Run

Step-by-step explanation:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answers

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

PLEASE HELP ME! THANK YOU IF YOU DO! ​

Answers

Answer:

100,000 ÷ 1.25

100,000/1.25

80,000/1

80,000

The unit cost of the piece of land is 80,000 per hectare

Step-by-step explanation:

Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.

Answers

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

Select all that apply.
A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the
graph of the equation?
(3,2)
(-9,-6)
(-12,8)
(-6,-3)

Answers

It is everyone of those except for (-6, 3).

Step-by-step explanation:

4 / 6 = 2/3

2/3 x -9 = -6

2/3 x -12 = -8

2/3 x 3 = 2

2/3 x -6 = -4

A farmer bought 36 ducks and 52 pigeons. Approximately how many birds did the farmer buy?​

Answers

the answer is 88, because when you add 52+36 it is equal to 88. <3

HAAAAAAALLLLLLLP

7th Grade IXL

Answers

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Solve the system of linear equations by susbitution! Show your work please!!!

Answers

Answer:

x=5, y=4

Step-by-step explanation:

-3x+5y=5

y=x-1

substitute y

-3x+5(x-1)=5

-3x+5x-5=5

2x=10

x=5

y=x-1

y=5-1=4

−14.4=−0.6p

I’m bisexual

Answers

That’s coolllllllllllllll

nice :) good for u, wish i could just say that straight up lol

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.

What is the approximate probability that exactly one of the four characters will be a number?

1%
11%
28%
44%

Answers

28 is the right answer sorry if I’m wrong

The approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9.

Total letters = 26

Total numbers = 10

Total = 10 + 26 = 36

Total possibilities = 36×35×34×33 = 1413720

Password with one number = C(10, 1) = 10

With three letters = C(26, 3) = = 2600

Outcomes = 2600×10 = 26000

Favorable outcomes = 26000×4! = 624000

Probability = 624000/1413720 = 0.44 = 44%

Thus, the approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

Learn more about the probability here:

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