Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?

Answers

Answer 1

9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.


Related Questions

Suppose we have 12 books.
How many ways are there to put four of them on a shelf?
PLS HELP ME

Answers

Answer:

1) first book can be at any of 4 places

2) Second book can be on any of leftover 3 places

3) Similarly third book on 2 and forth on 1 place

total : 4 * 3*2 * 1 = 24 ways .

other way we have formula 4!/1! =24 , here ordering is important

It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

example if you need to choose 2 friends for a party out of 4 friends ,

answer will be 4!/2!*2! = 6 groups. (Ordering doesn’t matter hence division)

hope it hleps

PLEASE MARK BRAINLIEST

use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds

Answers

Answer:

Step-by-step explanation:

hello

add me on s

ghazalp2186

love xx

and i dont know the answer

n the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in order from left to right on the graph, or least to greatest. If the function has only one solution, type the solution in both of the boxes. If there are no real solutions type “none” in both boxes.

Answers

Answer:

There are no real solutions.

Step-by-step explanation:

There are 3 options.

2 real solutions: This happens if in the graph, each arm intersects the x-axis, this means that there are two different values of x such that the equation:

a*x^2 + b*x + c

is equal to zero.

Another way to see this, is if the determinant:

b^2 - 4*a*c

is larger than zero.

1 real solution: This happens when the vertex of the graph intersects the x-axis. This means that there is a single value of x such that:

a*x^2 + b*x + c

is equal to zero.

Another way to see this is if the determinant:

b^2 - 4*a*c

is larger equal zero.

No real solution: if in the graph we can not see any intersection of the x-axis, then we do not have real solutions (only complex ones).

Another way to see this is if the determinant:

b^2 - 4*a*c

is smaller than zero.

Now that we know this, let's look at the graph.

We can see that the vertex is below the x-axis, and the arms of the graph go downwards. So the arms will never intersect the x-axis (and neither the vertex).

So the graph does not intersect the x-axis at any point, which means that there are no real solutions for the quadratic equation.

The correct answer would be "none"

0.25(4f-3)=0.005(10f-9)
Simplify the following

Answers

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

Answers

Answer: 12

Step-by-step explanation:

16 X 20c = 3.20

12 x 5c = 0.60

total is 3.80

Amy has 12 five c coins.

HELP ME WIT THIS QUESTION​

Answers

Answer:

I (-4, -3)

J (-4,-2)

K (-2,-2)

L (0,-4)


What value of x is in the solution set of -2(3x + 2) >-8x + 6

Answers

Answer:

x >5

Step-by-step explanation:

-2(3x + 2) >-8x + 6

Distribute

-6x-4 > -8x+6

Add 8x to each side

-6x-4+8x > -8x+8x+6

2x-4 > 6

Add 4 to each side

2x-4+4 > 6+4

2x> 10

Divide by 2

2x/2 >10/2

x >5

Step-by-step:

-2(3x+2)>-8x+6. divided by 2,-3x-2>-4x+3. the solution set of -2(3x+3)>-8x+6 is {x/x>5}

Answer:

6

Find the measure of one exterior angle for the following regular polygon.​

Answers

Answer:

40 degrees

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)

in this scenario you have 9 sides so put it in the equation.

(9 - 2) ×180 = 1260

1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.

1260/9 = 140

180-140 = 40 degrees

HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48

Answers

I HOPE IT WILL HELP YOU. I DID HOW I KNOW .

find the perimeter of the isosceles trapezoid

Answers

Answer:

A =136 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2( 22+12) *8

A = 1/2 ( 34)*8

A =136 cm^2

So to find the perimeter you have to find the length of the diagonal lines. The definition of isosceles means that the shape has two sides of equal length. So you’d solve for te missing length using the Pythagorean theorem. The difference between the top side and the bottom is 10, which means that each side of the 90 degree is 5. So on the bottom it is 5,12,5 for measurements, meaning that the middle is a square with two right triangles.

Solve using the Pythagorean theorem

a^2+b^2=c^2 with This you should get 9.43 (rounded) as your values.

Then just add up the side lengths.

2(9.43)+22+12, which gives a perimeter of 52.87 (rounded)

5^2+8^2=c^2

Arrange in descending order.
10,-5,-1, 12, 0, -13​

Answers

Answer:

12, 10, 0, -1, -5, -13

Step-by-step explanation:

Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, left parenthesis, n, right parenthesis be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.

Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.

f is a sequence of arithmetic.

Write a series explicit form.

[tex]\to f(n) = 70n + 5[/tex]

Answer:

Arithmetic Sequence, f(n)=5+70(n-1)

Step-by-step explanation:

checked on khan

7.

Which kind of function best models the data in the table? Graph the data and write an equation to model the data.


A. exponential; y = 3x – 1

B. linear; y = x – 1

C. quadratic; y = x2 – 1

D. linear; y = –x – 1

Answers

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).

Answers

Answer:

the answer is 4x2

Step-by-step explanation:

p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )

p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )

p(X)-q(X) = 2x2 + 2x2

p(X)-q(X) = 4x2

Answer:

p(x) - q(x) = 4x²

Step-by-step explanation:

p(x) - q(x)

= [tex]x^{4}[/tex] + 2x² + 1 - ([tex]x^{4}[/tex] - 2x² + 1)  ← distribute parenthesis by - 1

= [tex]x^{4}[/tex] + 2x² + 1 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms

= 4x²

. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.

Answers

Answer: 50%

Step-by-step explanation:

From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.

Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:

= 450/1000 × 100

= 45%

= 0.45

= 0.5 to nearest tenth

= 50% to nearest tenth.

Someone help on these

Answers

Problem 5

Start with the 30-60-90 triangle template

If you divide all values in that template by 2, then you'll get the diagram shown below.

Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2

So that diagram shows that cos(30) = sqrt(3)/2

Answer: Choice A) 30 degrees

===========================================================

Problem 6

Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive

tan = sin/cos = negative/negative = positive

So tangent is positive in Q3

Answer: Choice C) tangent

===========================================================

Problem 7

Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.

So,

cos(170) = cos(-170)

Then we'll find a coterminal angle of -170 which involves adding on 360

-170+360 = 190

The angles -170 and 190 point in the exact same direction

This then means cos(170) = cos(-170) = cos(190)

Or in short, cos(170) = cos(190)

Answer: Choice A)  cos(190)

whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000

Answers

Answer:

249,842

Step-by-step explanation:

to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power

12^5 + 1 + 9 + 1000

248,832 + 1 + 9 + 1000

248,832 + 1010 = 249,842

go to gauthmath's sub reddit if needing more things ^^

Answer: 249842

Step-by-step explanation: when 12 multiplies it self 5 times

                                             [tex]12^{5}[/tex]

                                           =248832

                                Addition of 1,9 and 1000

                                    =1 + 9 + 1000

                                    =1010

                               Sum total = 248832 +1010

                                                 =249842

                                                 OR

                               12×12×12×12×12+1+9+1000

                                =249842

Someone please help me!!!!!

Answers

Answer:

B is going to be half the intercepted arc

<ABC = 80

<CAB = 55

mARC(AB) = 90

mARC(BC) = 110

Step-by-step explanation:

Which equation should you solve to find x?
12
X х
34°
10

Answers

Answer:

B

Step-by-step explanation:

sin(theta) = perpendicular/hypotenuse

sin(34)=x/12

Setting y = 0 allows you to determine the what
of a graph

Answers

This allows you to find the x intercepts of the function.

  [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.

Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Know more about x-intercept and y-intercept here:

https://brainly.com/question/24363347

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esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4

Answers

Answer

The missing value is 4/9

b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)

Answers

using the format that

b²=4ac

where b=11 a=1 c=k

(11)²=4×1×k

121=4k

k=30.25

Answer:

10, 18, 24, 28, 30

Step-by-step explanation:

Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)

If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line
segment AB are:

Answers

Answer:

( .5x+13.5, 1.5y)

Step-by-step explanation:

To find the coordinates of the midpoint, add the endpoints and divide by 2

(x+ 27)/2 = x/2 + 13.5

(y+2y)/2 = 3y/2 = 1.5y

Could I get the answer don’t understand

Answers

Answer:

DE = 21.4

Step-by-step explanation:

The parallel lines divide the transversals proportionally, that is

[tex]\frac{DE}{EB}[/tex] = [tex]\frac{DF}{FC}[/tex] , substitute values

[tex]\frac{DE}{10.7}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 10.7 )

DE = 21.4

The teacher's helper was putting cookies onto plates. He put 1 cookie on the first plate, 4 cookies on the second plate, 16 cookies on the third plate, and 64 cookies on the fourth plate. What kind of sequence is this?

Answers

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.

This situation is a geometric sequence, where the common ratio is 4.

For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.

So, this is a geometric sequence.

If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.

Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.

The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.

Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

Learn more about the sequence here:

brainly.com/question/21961097

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sat prep find the value of x in each of the following exercises

Answers

Answer:

x=70

Step-by-step explanation:

Since the lines are parallel, we know angle y

60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel

y=60

The sum of the angles of the triangle are 180

x+y = 50 =180

x+60+50 =180

x+110 = 180

x = 180-110

x = 70

Answer:

x=70 degrees!!!

Step-by-step explanation:

Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.

Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:

x + y + 50 = 180

Since we know y = 60°, we can substitute the value and simplify:

x + 60 + 50 = 180

Combining like terms:

x + 110 = 180

To find x, we subtract 110 from both sides:

x = 180 - 110

After calculation, we get:

x = 70°

Therefore, the measure of angle x is 70°.

For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])

Answers

Replace x with 3 and solve:

10 x 5^3

Simplify:

10 x 125 = 1250

Answer: y = 1250

Answer:

(3 , 1250)

Step-by-step explanation:

I got it right on my test.

Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.​

Answers

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

[tex](x+ 4) {}^{2} = 49[/tex]

[tex]x + 4 = - 7[/tex]

[tex]x + 4 = 7[/tex]

[tex]x = - 11[/tex]

or

[tex]x = 3[/tex]

Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis

Answers

Answer: g(x) = (1/2)3^-x  reflection over y axis yields (-x,y)

Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.

Answers

Answer:

35

Step-by-step explanation:

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