Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away initially and save $10 every month. The second option is to put $300 away initially and save $30 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?

Answers

Answer 1

Answer:

After 5 months, both options will have saved 450$

Step-by-step explanation:

The first option can be modeled with the expression

400 + 10x

The second option can be modeled with the expression

300 + 30x

The variable x represents the months so in order to find the month where Tina saves the same amount, we set the expressions equal to each other.

400 + 10x = 300 + 30x

solve for x

20x = 100

x = 5

After 5 months, Tina will save the same amount of money which is

400 + 10*5 = $450


Related Questions

Graph the equation Y= 2/9 |x|






















Answers

Answer:

go over to the right 2 times and then go up 9 times : )

Step-by-step explanation:

good luck and hope this helps

Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse.
Function and Inverse
Correct
Incorrect
Rx) = 3x
O
Rx) = 3x + 7
F(x) = x - 3
VX-6
x =
O
O

Answers

Answer:

Step-by-step explanation:

1). f(x) = 3x⁵

Step - 1

Convert the given function in the form of an equation.

y = 3x⁵

Step - 2

Interchange x by y.

Step - 3

Solve the equation for y

x = 3y⁵

y⁵ = [tex]\frac{x}{3}[/tex]

[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]

Step - 4

Convert the equation into function.

[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]

Correct.

2). f(x) = 3x + 7

Step - 1

y = 3x + 7

Step - 2

x = 3y + 7

Step - 3

3y = x - 7

y = [tex]\frac{1}{3}(x-7)[/tex]

Step - 4

[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]

Correct.

3). f(x) = 6 + 4x³

Step - 1

y = 4x³ + 6

Step - 2

x = 4y³ + 6

Step - 3

y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]

Step - 4

[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]

Incorrect.

-12+x-34=60
If you like this question please rate this five stars!
Thank you!

Answers

Answer:

x=106

Step-by-step explanation:

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

−12+x−34=60

Step 1: Simplify both sides of the equation.

−12+x−34=60

−12+x+−34=60

(x)+(−12+−34)=60(Combine Like Terms)

x+−46=60

x−46=60

Step 2: Add 46 to both sides.

x−46+46=60+46

x=106

HELP ASAP giving brainlist!!!

Answers

Answer:

I would say its given because all of the sides are the same

Step-by-step explanation:

A .................sal

una escalera recostada de la pared , con el piso si la escalera mide 8' y la distancia de la base a la pared es de 6'. Halla el ángulo que forma la escalera

Answers

Answer:

me no espanol 24

Step-by-step explanation:

srry

HELLPP
Find the slope of the line?

Answers

Answer:

-1/7

Step-by-step explanation:

If you count up once, for the y-value, then count over 7 times for the x-value, you get 1/7, rise over run.

Then, if you see the slope going backwards, you can see it is negative. Therefor, we get -1/7 for the slope.

Figure A is a scale image of Figure B.
12.5
2
Figure A
5
Figure B
What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

figure A is 2/5 of figure B therefore x=5

What is the difference between population parameters and estimates in a sample?

Answers

Answer:

Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.

Step-by-step explanation:

If you collect a sample and calculate the mean and standard deviation, these are sample statistics.

Find the measure of the missing angle.

Answers

Answer:

36 degrees

Step-by-step explanation:

The whole angle is 99. The known angle is 54. Take 54 from 99 and it's 36.

Hope It Helps

Sorry If I'm Wrong

Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.

Answers

Answer:

$4282.20

Step-by-step explanation:

$3294*0.26=856.44

856*5=4282.20

A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Age Size Mean Mean
20–39 868 65.9 0.09
60 and older 934 64.3 0.11
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20–39 − μ60 and older.) , Interpret the interval
(b) Let μ1 denote the population mean height for those aged 20–39 and μ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: μ1 − μ2 = 1 and Ha: μ1 − μ2 > 1.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
(d) What hypotheses would be appropriate if μ1 referred to the older age group, μ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?

Answers

Following are the solution to the given points:

In point a:

When 95% are confidence interval:

[tex]=( \mu_{20-39} - \mu_{60})+(-z_{0.025})((0.09)^2+(0.11)^2)^{0.5} \\\\= (65.9-64.3)+(-1.96) \times 0.14213\\\\=(1.3214, 1.8786)[/tex]

In point b:

[tex]H_0: \mu_1 - \mu_2 =1\\\\ H_a: \mu_1 - \mu_2 > 1[/tex]

In the Z test statistic:

[tex]= \frac{((65.9-64.3)-1)}{((0.09)^2+(0.11)^2)^{0.5}} \\\\= 4.22 \\\\\to p= 0.000012[/tex]

In point c:

The rejection value of the null hypothesis as [tex]p< 0.001[/tex]

In point d:

[tex]H_0: \mu_2 -\mu_1 = 1 \\\\H_a: \mu_2 - \mu_1 > 1[/tex]

Learn more:

brainly.com/question/16162795

What’s the answer for this?

Answers

Answer: That is the answers.

Step-by-step explanation:

Write an equation of the line with the given slope and y-intercept.
slope: 1
y-intercept: -6
Help

Answers

y=1x-6; The equation is y=mx+b, you would plug in the slope for m and the y-intercept for b. Hope this helps.

7:8, 14:16, 21:24, and 28:32 are equivalent ratios, 50, 78 14 16 21 = 28 32 24 Use division to find all the whole number ratios that are equivalent to 24:96 The common factors of 24 and 96 PREMIER​

Answers

Answer:

yipgiydlilyzljt

hhhfguiihitezkgdzogdzlutzohodzhfzhoyd

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. What is
a ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green paint?

a. 25:45
b. 15:45
c. 25:27
d. 20.54

Answers

Answer:

A

Step-by-step explanation:

5:9 is the original ratio.

we know that anything times 5 would have the ones place of either 5 or 0 so we can eliminate c and d. Then we test out the other two choices.

25/5=5

45/9=5

A is correct.

15/5=3

45/9=5

Option B is incorrect.

so, the ratio is 25:45

The answer is A!

PLS HELP I NEED HELP

Answers

Answer:

8

Step-by-step explanation:

A given line has the equation 10x+2y=-2 .
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?

Answers

Here’s the correct answer and how I got the answer :)

Answer:

y=1-5x

Step-by-step explanation:

10x+2y=2

add subtract 10 from both sides

10x+2y=2

-10x. -10x

so now the equation should look like

2y=2-10x

then after that you have to get the Y variable alone so you have to divide everything by 2

2y÷2 = 2÷2 - 10x÷2

After you divide every term by 2 you slope intercept should be

y= 1-5x

please correct me if I am wrong

Which matrix represents the solution to this system of equations?

Answers

Answer:

1. b

Step-by-step explanation:

Answer:

b is correct

Step-by-step explanation:

took the test sorry bad at explaining

Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *

Answers

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer: 36-1x. Explanation: he is obese

In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.​

Answers

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

Which of the following coordinates is located in Quadrant IV?
O (-2, -4)
(4, 2)
Ο Ο Ο
(-2, 4)
(4, -2)
please answer quick!!!

Answers

Answer:

(4,-2)

Step-by-step explanation:

quadrant 4 or IV has positive x and negative y

Calculate the median of the dataset 5, 10, 12, 4, 6, 11, 13, 5

Answers

Answer: 8

Step-by-step explanation:

Median is the middle number of the set of numbers (layed out smallest to biggest)

4, 5, 5, 6, 10, 11, 12, 15

There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8

Step-by-step explanation:

Median = 8

Have a good day..

Please help! I need help fast!

Answers

Answer:

x=30

y=15

z=150

Step-by-step explanation:

take 2x+x+90=180

we get x=30

and y=15 and z=150

Which values of x will make the expression 6x?-54 equal to 0? Select two options.
.
5x2-20
0-3
0-2
00
2
03

Answers

Answer:

-2 abd 2

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

2. Briana goes to the store and buys 12 items. If
each item is $3.25, what is her total bill without
tax?

Answers

I think this would be $42.2
I just multiply 12 by 3.25

Answer:

12*3.25=39

Step-by-step explanation:

u multiply 12 by 3.25 and then u get ure answer witch is 39!!

please help please help

Answers

Answer:

i read the question but i really don't know the answer
35x should be your answer to that if not then i wasnt taught correctly

i need to find tan−1(0.8391) for my math test

Answers

The value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.

We are given an trigonometric function:

tan⁻¹ ( 0.8391).

We need to find the value of the function.

Let the function be equal to x.

tan⁻¹ ( 0.8391 ) = x

Now, we can also write it as:

tan x = 0.8391

We need to find an value of x that gives 0.8391 when tan function is applied to it.

So, we get that:

x = 40°

Therefore, the value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.

Learn more about trigonometric function here:

https://brainly.com/question/24349828

#SPJ9

What form of a linear equation is y - 6 = -4(x + 2) ?

Answers

Answer:

Point slope form

Step-by-step explanation:

Given

[tex]y - 6 = -4(x + 2)[/tex]

Required

Determine the form of linear equation

A linear has just three forms:

1. The slope intercept form.: This is always in form of [tex]y = mx + b[/tex]

2. The point slope form: This is always in form of [tex]y - y_1 = m(x - cx_1([/tex]

2. The standard form: This is always in form of [tex]Ax + Bxx = c[/tex]

By comparison, the three forms with the question, we can see that option B answers the question.

Solve the equation 3(x +4.5) = 36
If you get stuck use the hanger diagram to help yo
Х
4.5
Х
36
4.5
Х
4.5

Answers

Answer:

x=7.5

Step-by-step explanation:

The $40 million lottery payment that you have just won actually pays $2

Answers

Answer:

wait what is the question?

Step-by-step explanation:

??

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