Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?

Answers

Answer 1

Answer:

4.2%

Step-by-step explanation:


Related Questions

April can buy a package of 8 folders for $2.40. What is the unit price for this package?

Answers

Answer:

0.3

Step-by-step explanation:

to get the unit rate you must divided

2.40 by 8

2.40/8=0.3

multiplicative identity

multiplication property of zero

addition property of zero

multiplicative inverse

additive inverse

communicative

reflexive

distributive

symmetric ​

Answers

distributive, symmetric, no idea cause none of these seem right, communicative, addition property of 0, can't see the last one

If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0

Answers

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

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

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

The mean midday temperature recorded in June in a city in South California is 36ºC, and the standard deviation is 3ºC. The number of days in the month of June is 30.
Assuming the data is normally distributed, the number of days in June when the midday temperature was between 39ºC and 42ºC is .

Answers

Answer:

About 4 days

Step-by-step explanation:

Convert 39 and 42 degrees C to a z score and then use the z-table

The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.

Given the following data:

Mean midday temperature = 36°C.

Standard deviation = 3°C.

How to determine the number of days in June?

In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:

Let the midday temperature be M.

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

Evaluating, we have:

P(M < 39) = P(Z < [39 -36/3])

P(M < 39) = P(Z < [3/3])

P(M < 39) = P(Z < 1).

P(M < 39) = 0.84134.

P(M < 42) = P(Z < [42 -36/3])

P(M < 42) = P(Z < [6/3])

P(M < 42) = P(Z < 2)

P(M < 42) = 0.02275.

Substituting the parameters into the formula, we have;

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

P(39 < M < 42) = 1 - [0.84134 + 0.02275]

P(39 < M < 42) = 1 - 0.86409

P(39 < M < 42) = 0.13591‬.

Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:

No. of days = 0.13591 × 30

No. of days = 4.0 days.

Note: There are 30 days in the month of June.

Read more on z-scores here: https://brainly.com/question/4302527

#SPJ2

Need the answer to angle 1 angle 2 and angle 3

Answers

Answer:

angle 1= 120 and angle 2 and 3 = 30

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

angle1=120°

[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°

The cheerleaders are making a banner that is 8 feet wide the length of the banner is 1 1/3 times the width of the banner how long is the banner

Answers

Answer:10 2/3 feet

Step-by-step explanation: 8 times 4/3= 32/3=10 2/3 feet

Good job people They are right

Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?

Answers

Answer:

y=1 and x = 2

Step-by-step explanation:

Given equations are :

2x-2y = 2 ....(1)

5x+2y= 12 .....(2)

Adding equation (1) and (2),

2x+5x = 2+12

7x = 14

x = 2

Put the value of x in equation (!).

2(2)-2y = 2

4-2y=2

2=2y

y=1

So, the values of x and y are 2 and 1 respectively.

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).

Answers

Answer:

TRUE

Step-by-step explanation:

Can someone help with number 1 please?

Answers

A
A=l x w
6/10 divided by 3/4 is 4/5

what is the answer for 1/3x+y=4 and if you use big ideas math program and you got the right answer lemme know

Answers

Answer:

x=-3y+12

Step-by-step explanation:

Yes.

Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.

Required:
What is Jose’s cost basis for the delivery van?

Answers

Answer:

Jose's cost basis for the delivery van = $42,410

Step-by-step explanation:

Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.

Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:

Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410

Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?

Answers

1,120 this is the answer

Answer:

7.8 months but you can round it to 8 months

Step-by-step explanation:

Please help meeeeeeeeeeeeeeeeeeeee​

Answers

67 but why couldn’t u just use a calc

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

If my answer is wrong pls correct me.

If you like my answer and explanation pls mark me as brainliest.

-Chetan K

help me please with this

Answers

9514 1404 393

Answer:

  8. CE

  9. b) no

  10. 22

Step-by-step explanation:

8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.

__

9. The sum of the shortest sides must exceed the longest side.

  1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed

__

10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...

  15-8 < x < 15+8

  7 < x < 23

The largest integer value of x is 22. The third side can be at most 22.

Larissa rolled two number cubes each with the numbers 1 through 6 larissa adds the numbers appeared on the roll which two sums have an equal chance of occurring

A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9

Answers

The answer ur looking for is (c)

A rectangle that has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?

Answers

Rectangle = L * W
One side = length, other = width

9 cm * 6 cm = 54 cm^2
The area of 54 cm^2

What is the answer please help me no links no links

Answers

I think it’s 32
Hope that helped XD

A. Find the volume of a rectangular room measuring 22.75 ft. x 30 ft. x 14 ft.
B. Find the BTUs needed for that room if it faces South with poor insulation.


Help asap

Answers

Answer:

12 BTU

Step-by-step explanation:

The blue segment below is a radius of oo. What is the length of the diameter of the circle?

Answers

Answer:

Diameter = 25.4 units

Step-by-step explanation:

radius = 12.7

Diameter = 2 × radius

= 2 × 12.7

= 25.4 units

D

Step:
Length of diameter = 2* radius = 2*12.7= 25.4

Find the x-intercept and y-intercept for the following equation:

3x−6y=12

Answers

Answer:

(4,0) and (0,-2)

Step-by-step explanation:

To find the intercepts, substitute a zero for the opposite letter so

to find y-int x = 0 so 3(0) - 6y = 12   so -6y = 12, so y = -2

to find x-int y = 0 so 3x - 6(0) = 12   so 3x = 12, so x = 4

The sine regression model uses a form that approximates the data as an algebraic representation of the graph.
Choose the sine regression model from the following:
ay=sin(x +c)+d
b. y=mx+
C. y - Ar? +BX+C
d.
-6+ 6²-4ac
2a

Answers

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d  I got a 100 on the test

which equation has the solutions x equals 1 plus or minus the square root of 5​

Answers

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

Help SOMEONE???? MATH IS SO HARD!!!​

Answers

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Your answer would be:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

because

question is in picture please help!

Answers

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU

Answers

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

Raven and Min jog at different rates. Raven jogs at a rate of 6.3 miles per hour and Min jogs at a rate of 4.8
miles per hour. Raven thinks that if their rates were graphed on the same grid representing distance jogged over
time that the line representing her rate would always be above the line representing Min's rate Is Raven correct,
and why?

A .Yes, since Raven's line has a greater slope, it will always be above Min's line on a graph.
B.No since Raven's line has a greater slope, it will always be below Min's line on a graph.
C.No, both graphs will intersect at the point (0,0).
D.No, on a graph, changing the scale will affect whether Raven's or Min's line is always
higher

Answers

Answer:

The answer is A.

if im wrong im truly sorry

Help fast it’s for a test I do t wanna fail!!

Answers

Answer:

it is decreasing by 1/2 half every number to get the next answer is 6

Step-by-step explanation:

Find the missing side length.
AJKL ~ AGKH

Answers

The answer should be 15
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