You deposit $2000 in an account earning 3% interest compounded monthly.How much will you have in the account in 15 years?

Answer:

[tex]f^{-1}[/tex](2) is 3

Step-by-step explanation:

In the function f(x) = y, its inverse is f(y) = x

So to find the inverse of a function switch x and y

Example:

In f(1) = 2, x = 1 and y = 2

Its inverse is [tex]f^{-1}[/tex](y) = x

Then, [tex]f^{-1}[/tex](2) = 1

Let us use this rule to solve the question

∵ f(3) = 2

∴ x = 3 and y = 2

→ To find its inverse switch x and y

∵ [tex]f^{-1}[/tex](y) = x

∴ [tex]f^{-1}[/tex](2) = 3

Answer:

m= 2

b= -2

-2x+2

Step-by-step explanation:

Hope that helps!

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

$300 to $400

Step-by-step explanation:

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

First, we need to create a model for the work done and how much she earned.

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

Read more:

https://brainly.com/question/24392720

Answer:

D. The number of degrees of freedom

The value of df is 31

Step-by-step explanation:

Degrees of freedom (DF) denotes the amount of information provided by the data you can "consume" to estimate unknown population parameters' values and calculate the variability of those estimates.

Increasing the sample size provides more information about the population, which increases the degrees of freedom present in the data.

Given that:

The sample size in the study (n) = 32

The degree of freedom df = n - 1

The degree of freedom df = 32 - 1

The degree of freedom df = 31

Answer:

250

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I believe it is C.

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

Answer:

Step-by-step explanation:

(a). - 5t² + 35t - 60 = 0

(b). (x - 3)(x - 4) = 0

(c). t = 3, 4

x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)

But if you want an integer then It's x ≤ -4

Real Number as it's x ≤ -3.5

Answer:

Meeeeeeeeeeeeeeeeeeeeeee

Answer:

X intercept is the point where the line meets the x. y intercept is the point where the line meets the y.  So, the x intercept is -7.5 and the y intercept is 5.5.

25 + 2x = 55

2x = 30

x = 15

The number is 15

Answer:

Step-by-step explanation:

If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

Answer:

1) 11

2) 4

Step-by-step explanation:

1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.

2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.

R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as

R(x) = (x - r₁) (x - r₂) ... (x - r₇)

The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.

(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.

There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either

(b) at most 3 real roots, or

(c) at most 2 non-real roots and 1 real root.

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

6

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

+15       +15

-5a=-40

/-5   /-5

a=6

Answer:

A = 8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

Answer:

Step-by-step explanationfor changing °F to °Cuse the formula

°C=(F-32)5/9

=(88-32)5/9

=56×5/9

=280/9

=31.11

So the value of nearest tenth is 31°c

Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559

Step-by-step explanation:

Given that;

the total number of raffle ticket sold by the student is 2629

Kevin bought 41 tickets

the probability that Kevin will win the spring break cruise to the Caribbean?

The required probability will be:

Probability

=(Number of favorable outcomes for an Event) / (Total Number of outcome)

so

probability = 41 / 2629

= 0.01559

Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C

Exponential functions are functions that increases geometrically. The standard exponential function is expressed as  y = ab^x

The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C

Learn more on exponential graph here:  https://brainly.com/question/2456547

#SPJ2