Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.

No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]

Answer:

C. ECA = BDA

Step-by-step explanation:

An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.

From the given question, the alternate interior angles by the theorem is;

ECA = BDA

By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.

Answer:63%

Step-by-step explanation:

if 2years=25%loss

Then 5years=5/2×25%

=62.5%~63%

Answer:

After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required

Answer:

0.0239

Step-by-step explanation:

[tex]H_0;\mu=\sigma[/tex]

[tex]H_a;\mu>6[/tex]

[tex]\bar{x}=6.08[/tex] = Mean

[tex]s=0.44[/tex] = Standard deviation

[tex]n=121[/tex] = Sample size

Test statistic is given by

[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]

From T table we know it is a right tailed test.

Degree of freedom = [tex]n-1=121-1=120[/tex]

[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]

Hence, p-value is 0.0239.

The result as a fraction of 2 will be 58/2

Fractions are ratio of two integers. For instance, the ratio of a to b is expressed as a/b

Given the expression 4x4x2-4, this can be further expressed as:

4x4x2-4

= (4^2*2) - 4

= (16 * 2) - 4

= 32 - 4

= 28

Expressing the result as a fraction of 2 will be 58/2

Learn more on indices here: https://brainly.com/question/10339517

Answer:

2,3,5,7,11,13

Step-by-step explanation:

the prime divisors of 10 are 2 and 5.

while the first six prime numbers are 2,3,5,7,11,13

Answer:

The answer to this problem would be A.

Step-by-step explanation:

For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.

Answer:

A. 9x + 32 ≤ 122

Step-by-step explanation:

$32 is the fixed monthly due

$9 everytime she uses childcare

$122 is the maximum she wants to spend This month.

32 + 9x ≤ 122

Answer:

3,510

Step-by-step explanation:

3,511.1 is closer to 3,510 than it is to 3,520

Answer:

0>0

Step-by-step explanation:

Answer:

First one x=2 y=7 (2,7)

second one top right x=-2

Mid left: x=-5 and y=9 (-5,9)

mid right: x=4 and y=−1 (4,-1)

Bottom left: x=6 and y=−2 (6,-2)

Bottom Right: x=−4 and y=−5 (-4,-5)

Step-by-step explanation:

IM GOING LEFT TO RIGHT FROM UP TO DOWN

1. 2x+y=11

7x=14

rewrite them like this

7x=14;2x+y=11

solve for 7x=14

7x=14

x=2

Substitute 2 for x in 2x+y=11

(2)(2)+y=11

y+4=11

y=7

2. −7x=14;9x+8y=6

9x+8y=6

-7x=14

fist solve for x

x=-2

Then substitute in first equation

y=3

3. 6x+4y=6;3x=−15

6x+4y=6

3x=-15

solve for x

x=-5

Then plug in and solve

(6)(−5)+4y=6

4y=36

y=9

4. 7x+4y=24;4x=16

same process solve for x and plug in

x=4 and y=−1

5.  5x+8y=14;4x=24

same process

x=6 and y=−2

6. x-5y=21;-6x=24

same process solve for x and plug it in

x=−4 and y=−5

Hope this helps

Answer:

The third book cost $9.03

Step-by-step explanation:

Answer:

the 3rd book is 9.03

Step-by-step explanation:

all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

Answer: Vertical Line

Step-by-step explanation:

You can model the situation you described as

[tex]y=125+5x[/tex]

Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.

The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.

Answer:

B

Step-by-step explanation:

They are similar by the definition of similarity in terms of a dilation.

Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.

Given

In GHI ,

GH = 3cm [using distance formula]

HI = 5.65 cm

GI = 6 c

In JKL,

JK = 2.2361 cm

KL = 2.8284 cm

JL = 3 cm

To know more about dilation refer to :

https://brainly.com/question/3457976

#SPJ2

Answer:

It would be a

Step-by-step explanation:

the difference is 4/8 but simplified it is 1/2

Answer:

$31.50

Step-by-step explanation:

If the value fell by 30%, then the game is worth 70% of its' original value. So:

45 x 70%=45 x .7=31.5......................

Answer: (7t)/(y+v)

All work is in the picture below:

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

44

Step-by-step explanation:

Well if you see the picture

triangle 1 has an area of

[tex]\frac{3*4}{2}=6[/tex]

triangle 2 has an area of

[tex]\frac{3*4}{2}=6[/tex]

rectangle 3 has an area of

[tex]8*3=24[/tex]

and triangle 4 has an area of

[tex]\frac{2*8}{2}=8[/tex]

if we add then up

[tex]6+6+24+8=44[/tex]

Answer:

Step-by-step explanation:

It is H

        Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x

          y = a(x - h)² + k

          Here, (h, k) is the vertex of the parabola

Given in the graph,

Equation of the graph with vertex (3, -9) will be,

y = a(x - 3)² - 9

Since, the parabola passes through (0, 0),

0 = a(0 - 3)² - 9

0 = 9a - 9

a = 1

Substitute the value of 'a' in the equation of the parabola,

y = 1.(x - 3)² - 9

y = x² - 6x + 9 - 9

y = x² - 6x

      Hence, the function representing the graph will be f(x) = x² - 6x

Learn more to get the equation of a parabola here,

https://brainly.com/question/22649174?referrer=searchResults

Answer:

The height of the pile is increasing at a rate of 1.78 ft/min

Step-by-step explanation:

As we can see, we have the rate at which the volume is increasing

Mathematically, the volume of a cone can be calculated by the formula;

1/3 * π * r^2 * h

but here, we are dealing with base diameter which is d

and r is d/2

So we have the formula as;

1/3 * π * (d/2)^2 * h

since h is same as d for this particular cone, we can replace d with h so that we now have;

1/3 * π * h^3/4

= πh^3/12

what we have in the question is dv/dt

what we want to calculate is dh/dt

Mathematically;

dh/dt = dh/dv * dv/dt

dh/dv is 1/dv/dh

dv/dh = πh^2/36 where h = 15

dv/dh = 225 π/36

dh/dv is now;

36/225π

So, finally;

dh/dt = 36/225 π * 35

dh/dt = 1.78 ft/min

Answer:

x is equal to 19/5 which can also be expressed as  [tex]3\frac{4}{5}[/tex], or 3.8

Step-by-step explanation:

[tex]3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}[/tex]

Answer:

x = 12

Step-by-step explanation:

Solve:

[tex]\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}[/tex]

To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.

Multiply by 12:

[tex]3(3x-2)-4(2x-5)=2(1+x)[/tex]

Operating:

[tex]9x-6-8x+20=2x+2[/tex]

[tex]9x-8x-2x=6-20+2[/tex]

Simplifying:

-x=-12

x = 12

Answer

Associative property of addition

Step-by-step explanation: