please hurry

Paul deposit $500 in an account that pays 4% annual interest. Find how much Paul will
have after 3 years when the interest is compounded quarterly.

a. $563.41
b. $501.12
c. $515.15
d. $580

Answer:

1st. Problem

Let's solve for x.

25x+15y=17

Step 1: Add -15y to both sides.

25x+15y+−15y=17+−15y

25x=−15y+17

Step 2: Divide both sides by 25.

25x/25 = -15y+17/ 25

x equals...

x= -3/5 y + 17/25

2nd. Problem

Let's solve for x.

25x+15y=305

Step 1: Add -15y to both sides.

25x+15y+−15y=305+−15y

25x=−15y+305

Step 2: Divide both sides by 25.

25zx/25 = -15y305/25

x equals...

x = -3/5 y + 61/5

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Answer:

11

Step-by-step explanation:

first 3-2=1 the divide 90 by 3 then add the 1 the subtract that by 20 and you will get 11

The result of the expression 90 divided by 3 plus the quantity (3 minus 2) minus 20 is 11.

To evaluate the expression 90 divided by 3 + (3 - 2) - 20, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction:

First, let's simplify the expression within the parentheses:

3 - 2 = 1

Now we can substitute the simplified expression back into the main expression:

90 ÷ 3 + 1 - 20

Next, perform the division:

90 ÷ 3 = 30

Now we have:

30 + 1 - 20

Next, perform the addition:

30 + 1 = 31

Finally, perform the subtraction:

31 - 20 = 11

Therefore, the value of the expression 90 divided by 3 + (3 - 2) - 20 is 11.

To know more about expression, refer here:

https://brainly.com/question/34132400

#SPJ6

Answer:

y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

y = -3x - 1

1. Perpendicular line needs the opposite (reciprocal) of the slope.

             reciprocal of -3 is -1/3, slope 1/3.                    y = 1/3x + b

2. Now find the b (y-intercept).                                     1 = 1/3(-1) + b

                                                                                       1 = -1/3 + b

                                                                                 + 1/3  +1/3

                                                                                    1 1/3 = b

3. Answer         y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

The higher the frequency, the higher the pitch.

so it 10000 Hz

Answer:

10,000 Hz

Explanation:

Pitch is directly proportional to frequency . Hence, 10,000 Hz has a highest pitch.

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

Answer:

Answer:

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

simply multiply

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

Answer:

m∠A = 106°

Step-by-step explanation:

All three sides of the triangle are given in the question.

To find the measure of included angle A between two sides we will apply cosine formula,

BC²= AB² + AC² - 2(AB)(AC)cosA

(13)² = (10)² + (6)² - 2(10)(6)cosA

169 = 100 + 36 - 120cosA

cosA = [tex]\frac{-169+136}{120}[/tex]

cosA = -0.275

A = [tex]\text{cos}^{-1}(-0.275)[/tex]

A = 105.96°

A ≈ 106°

Therefore, m∠A = 106° will be the answer.

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is  3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

cAnswer: its c

Step-by-step explanation:

Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

Answer:

A. 2 and 3

Step-by-step explanation:

The square root of 7 is 2.7 which makes it between 2 and 3.

Answer:

A

Step-by-step explanation:

because the square root of 4 is 2

and the square root of 9 is 3

since 7 is in between 4 and 9 the square root is in between 2 and 3

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Answer:

Z = -0.675.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What z-score value separates the lowest 25% of the scores from the rest of the distribution

This is Z which has a pvalue of 0.75, so Z = -0.675.

Answer:

70 ÷ 10 = 7

30 30 ÷ 10 = 3

20 20 ÷ 10 = 2

Step-by-step explanation:

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

Answer:

Slope: -1

Step-by-step explanation:

Isolate y to one side to match the formula y = mx + b where m is the slope and b is the y-intercept.

y = -x + 4

Slope: -1/1

y-intercept: 4

Answer:

the slope is 4/4 which give u 1

Step-by-step explanation: at least it think so

Answer:

below

Step-by-step explanation:

If line C is parallel to another line, they will have the same slope. so calculate the slope first:

8-2/8-0=3/4(simplified)

and thats it

Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8