Katie has 6500 in her savings account. If it earns 6% interest every month how much savings does she have in her account in over half a year

Answer:

74°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle EBC is an isosceles triangle (because has two equal sides EB=EC)

so

[tex]m\angle BCA=m\angle BCE=m\angle EBC=53^o[/tex]

Find the measure of angle BEC

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

[tex]m\angle BCE+m\angle EBC+m\angle BEC=180^o[/tex]

substitute the given values

[tex]53^o+53^o+m\angle BEC=180^o[/tex]

[tex]m\angle BEC=180^o-106^o=74^o[/tex]

Find the measure of angle AED

we know that

[tex]m\angle AED=m\angle BEC[/tex] ----> by vertical angles

so

[tex]m\angle AED=74^o[/tex]

Find the measure of arc AD

we know that

[tex]m\ arc\ AD=m\angle AED[/tex] -----> by central angle

therefore

[tex]m\ arc\ AD=74^o[/tex]

Answer:

The answer is B on Edge 2020`

Step-by-step explanation:

I did the exam

16% = 0.16 =  [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

Given,

16%

We need to find out the decimal and reduced fraction.

Decimal Fraction

16% = [tex]\frac{16}{100}[/tex] = 0.16

Reduced Fraction

16% = [tex]\frac{16}{100}[/tex] = [tex]\frac{4}{25}[/tex] [ Diving both by 4]

Answer:

0.16 as a decimal

4/25 as a reduced fraction

Step-by-step explanation:

16%

A percentage is an hundred. Hence, the percentage of any number is that number divided by 100.

16% will therefore be 16/100

To decimal form gives 0.16

To a reduced fraction, we have

16/100

Using 2 to reduce

8/50

Using 2 to reduce again

4/25

It can't be reduced with a common number again.

Answer: William

Step-by-step explanation: This is true because whichever has a better gas mileage pays less, so the bigger number per year has better mileage, so 15,000 would have better which is Donald, and William has 12,000 which is worse, so he would have to pay more.

Answer: Donald

Step-by-step explanation:

Answer:I think its C

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

6x729 equals 4374 and you get that by using a calculator that's how i would do it

Answer:

B receives 62000 votes

C receives 47000 votes

Step-by-step explanation:

Let C be the vote for candidate C

Let B be the vote for candidates D

Let the total vote be T. Therefore,

C + B = T (1)

But C receives 15000 votes fewer than B ie

C = B —15000 (2)

Total votes, T = 109000

Substituting the value of C and T into equation 1

C + B = T

B — 15000 + B = 109000

Collect like terms

B + B = 109000 + 15000

2B = 124000

Divide both side by the coefficient B i.e 2

B = 124000/2

B = 62000

Putting the value of B into equation 2;

C = B —15000

But B = 62000

C = 62000 — 15000

C = 47000

B receives 62000 votes

C receives 47000 votes

Answer:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Step-by-step explanation:

We are given the following in the question:

There are three pieces of a wood.

Length of longest piece =

[tex]\dfrac{3}{4}\text{ foot}[/tex]

Length of shortest piece =

[tex]\dfrac{3}{8}\text{ foot}[/tex]

Let x be the length of the third piece.

Since the length of third piece lies between the length of the longest and the shortest piece of wood, thus, we use the following inequality to represent the length of the third piece.

Inequality:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Answer:

Depends on what x represents.

Step-by-step explanation:

Can you provide more details?

Answer:

x = 180 - (67 + 52)

Step-by-step explanation:

Had it wrong the first time ;)

Answer:

Approximately [tex]22.2\; \rm m[/tex].

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle [tex]\triangle ABC[/tex], angle [tex]\angle A[/tex] is opposite to side [tex]BC[/tex], while [tex]\angle C[/tex] is opposite to side [tex]AB[/tex]. By sine rule, [tex]\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}[/tex].

It is already given that [tex]BC = 22.4\; \rm m[/tex] and [tex]\angle A = 58^\circ[/tex]. The catch is that the value of [tex]\angle C[/tex] needs to be calculated from [tex]\angle A[/tex] and [tex]\angle B[/tex].

The sum of the three internal angles of a triangle is [tex]180^\circ[/tex]. In [tex]\triangle ABC[/tex], that means [tex]\angle A + \angle B + \angle C = 180^\circ[/tex]. Hence,

[tex]\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}[/tex].

Apply the sine rule:

[tex]\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}[/tex].

[tex]\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}[/tex].

Answer:

$151.34

Step-by-step explanation:

First, Karla starts with $138.72.

Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.

$138.72 - $45.23 - $18.00 = $75.49

Now, Karla has $75.49 in her account.

However, a $75.85 deposit is made to her account. So let's add this back to the total.

$75.49 + $75.85 = $151.34

So after all the transactions, Karla has $151.34 in her checking account.

Answer:

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Given Data:

a = 7+3+7 =17 units

b = 3  units

h = 8  units

To Find Out:

Area of trapezoid = ?

Formula:

[tex]A = \frac{a+b}{2}h[/tex]

Solution:

[tex]A = \frac{a+b}{2}*h[/tex]

[tex]A = \frac{17+3}{2}*8[/tex]

[tex]A = \frac{20}{2}*8[/tex]

[tex]A =10*8[/tex]

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Answer:

12 in³

Step-by-step explanation:

Its made up of 12 (4×3 = 12) cubes of 1 in³ each

So 12 × 1 = 12 in³

Answer:

The first error consists in the multiplication of f (x) = 100 * (1.25), the value she mentions is incorrect since it is 125.

It would be a 125% increase really.

In order for LaTanya's phrase to have no error she had to mention that it was a 25% increase over the original amount, in this way, the phrase would make sense and be valid.

Answer:

LaTanya confused growth factor with growth rate. The growth factor is 1.25. The growth rate is 25%.

Step-by-step explanation:

In the exponential growth model,

f(x)=a(1+r)x

a is the inital amount, r is the growth rate, and (1+r) is the growth factor. Hence, the growth factor of the given function is 1.25.

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

Answer: x =  -3 ; Y = 5

Step-by-step explanation:

Y=5x+20

Y=-7x-16

5x+20  = -7x-16

5x+ 7x = -16 - 20

12x = - 36

x = -36 / 12

x =  -3

Y=5x+20

Y = 5.(-3) + 20

Y = - 15+20

Y = 5

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

Answer:

1

Step-by-step explanation:

Anything to the power 0 is 1

Therefore, 6^0 is 1

Answer:  1

Answer:

6^0 = 1

Step-by-step explanation:

"6 to the power 0" is 6^0 = 1

For this case we must indicate the solution set of the given inequalities:

[tex]-6x + 14 <-28[/tex]

Subtracting 14 from both sides of the inequality we have:

[tex]-6x <-28-14\\-6x <-42[/tex]

Dividing by 6 on both sides of the inequality:

[tex]-x <- \frac {42} {6}\\-x <-7[/tex]

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

[tex]x> 7[/tex]

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

[tex]9x + 15 <-12[/tex]

Subtracting 15 from both sides of the inequality we have:

[tex]9x <-12-15\\9x <-27[/tex]

Dividing between 9 on both sides of the inequality we have:

[tex]x <- \frac {27} {9}\\x <-3[/tex]

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)

Answer:

Both terms have a common factor of 2^15

Step-by-step explanation:

Make use of prime factorizations:

16^5+2^15=(2^4)^5+2^15=2^20+2^15

Both terms have a common factor of 2^15.

16^5+2^15=2^15(2^5+1)=2^15 x 33

The term [tex]16^5+2^{15}[/tex] is divisible by 33

We have to given  [tex]16^5+2^{15}[/tex] is divisible by 33.

Prime factorization is a way of expressing a number as a product of its prime factors

Make use of prime factorization

[tex]16^5+2^{15}=(2^4)^5+2^{15}[/tex]

           [tex]=2^{20}+2^{15}[/tex]

factor out the term [tex]2^{15}[/tex] we get,

[tex]16^5+2^{15}=2^{15}(2^5+1)=2^{15} * 33[/tex]

Therefore the term [tex]16^5+2^{15}[/tex] is divisible by 33

Hence proved.

To learn more about the divisibility visit:

https://brainly.com/question/308348

Answer:

top is wrong my teacher told me the answer its

349.67

Maricela's monthly payment for the loan using the monthly payment formula is; $349.67

We are given;

Principal; P = $18000

Interest Rate; r = 6.2% = 0.062

Number of years; t = 5 years

The formula to find the monthly payment is;

M = P[(r/n) * (1 + (r/n))^(nt)]/[((1 + (r/n))^(nt)) - 1]

Plugging in the relevant values gives;

M = 18000[(0.062/12) * (1 + (0.062/12))^(12 * 5)]/[((1 + (0.062/12))^(12 * 5)) - 1]

Solving this with a calculator gives us;

M = $349.67

Read more about Monthly payment at; https://brainly.com/question/14315509

Answer:

27 - 8 = 19

The answer is 19.

Step-by-step explanation:

Answer:

f^-1(x) = (x + 8) / 9

Step-by-step explanation:

Step 1:  Set y to x and x to y

y = 9x - 8

x = 9y - 8

Step 2:  Solve for y

x + 8 = 9y - 8 + 8

(x + 8) / 9 = 9y / 9

(x + 8) / 9 = y

Step 3:  Rename y to f^-1(x)

f^-1(x) = (x + 8) / 9

Answer: f^-1(x) = (x + 8) / 9

The inverse of the function f(x) = 9x - 8 is f^-1(x) = (x + 8) / 9.

To find the inverse of the function f(x) = 9x - 8, follow these steps:

First, replace f(x) with y. So, we have y = 9x - 8.

Next, solve for x. To do this, swap x and y to get x = 9y - 8.

Now, isolate y by adding 8 to both sides, resulting in x + 8 = 9y.

Finally, divide both sides by 9 to solve for y, giving y = (x + 8) / 9. This is the inverse function.

To denote the inverse, we replace y with f-1(x), resulting in f-1(x) = (x + 8) / 9.

Answer:

31

Step-by-step explanation:

[tex] {x}^{2} + y \\ = {5}^{2} + 6 \\ = 25 + 6 \\ = 31 [/tex]

Answer:

31

Step-by-step explanation:

25+6=31

Answer:

175

Step-by-step explanation:

Answer:

175%

Step-by-step explanation:

Divide 50 by 100 then multiply it by 350

50 ÷ 100 × 350 = 175

Answer:

Option A, 12

Step-by-step explanation:

Step 1:  Add 5 to both sides

-5 + w/3 + 5 = -1 + 5

w / 3 = 4

Step 2:  Multiply both sides by 3

w/3 * 3 = 4 * 3

w = 12

Answer:  Option A, 12

Answer:

310 Hz

Step-by-step explanation:

This is a spanish language mathematical question.

We translate this to english:

An observer approaches a static speaker at 15 meters per second. The speaker is emitting a sound with a frequency of 297 Hz. What is the frequency perceived by the observer?

Solution:

This can be solved using doppler effect formula. Which is:

[tex]f=(\frac{c}{c+V_s})f_0[/tex]

Where

f is the observed frequency (297 Hz)

c is the speed of sound  (343 m/s)

[tex]V_s[/tex] is the velocity of source (given as 15)

[tex]f_0[/tex]  is what we want to find

Now, substituting, we solve:

[tex]f=(\frac{c}{c+V_s})f_0\\297=(\frac{343}{343+15})f_0\\297=(0.9581)f_0\\f_0=309.99[/tex]

Rounding,

We can say the perceived frequency would be around 310 Hz

Triangle with side lengths 30, 40, and 50 is a right triangle.

To classify the triangle based on the lengths of its sides, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given lengths of sides:

[tex]\(a = 30\)[/tex]

[tex]\(b = 40\)[/tex]

[tex]\(c = 50\)[/tex]

We can check if the triangle is a right triangle:

[tex]\[c^2 = a^2 + b^2\][/tex]

Substituting the values:

[tex]\[50^2 = 30^2 + 40^2\][/tex]

[tex]\[2500 = 900 + 1600\][/tex]

[tex]\[2500 = 2500\][/tex]

Since [tex]\(2500 = 2500\)[/tex], the Pythagorean theorem holds true, meaning this triangle is a right triangle.

So, the given triangle with side lengths 30, 40, and 50 is a right triangle.

Answer:

h=V/b

Step-by-step explanation:

The volume V can be represented as a function of height h by the equations V = lwh for a rectangular prism or V = πr²h for a cylinder. If other dimensions are constants, this can be simplified to V=k*h, where k represents the base area.

To represent the volume V as a function of the height h, we typically consider the volume of a rectangular or cylindrical shape. The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If we consider a cylinder, the volume is given by the equation V = πr²h, where r is the radius of the base circle and h is the height. However, if we simplify this formula assuming only the height can vary and all other dimensions are constants, the function could be simplified to V=k*h, where k represents the area of the base.

https://brainly.com/question/35563884

#SPJ3

f(-1) = 3((-1)^5)-5((-1)^4)+29 = -3-(5)+29 = 21

answer: 21

Answer:

The value of f(-1) is 21

Step-by-step explanation:

Given:

[tex]f(x) = 3x^5 - 5x^4 + 29[/tex]

Finding f(-1)

        [tex]f(-1)=3(-1)^5-5(-1)^4+29\\\\[/tex]

Multiplying '-1' odd times gives -1 and even times gives '1'

       [tex]f(-1)=3(-1)-5(1)+29\\\\f(-1)=-3-5+29\\\\f(-1)=-8+29\\\\f(-1)=21\\[/tex]

The value of f(-1) is 21