Andrew is choosing between four loans. Loan P has a nominal rate of 10. 393%, compounded daily. Loan Q has a nominal rate of 10. 516%, compounded weekly. Loan R has a nominal rate of 10. 676%, compounded monthly. Loan S has a nominal rate of 10. 755%, compounded annually. Which loan will give Andrew the best effective interest rate? a. Loan P b. Loan Q c. Loan R d. Loan S Please select the best answer from the choices provided A B C D.

Answer:

x = -4, y = -2

Step-by-step explanation:

substitute for y

2x - 5(x + 2) = 2

distribute -5

2x -5x - 10 = 2

solve

-3x - 10 = 2

add 10 on both sides

-3x = 12

divide by -3

x = -4

now substitute for x in the equation y = x + 2

y = -4 + 2

y = -2

Answer:

x = 112°

Step-by-step explanation:

Isosceles triangles always have 2 congruent base angles.

Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.

180 - 17 - 17 = 146°

Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.

180 - 146 = 34°

Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.

180 - 34 - 34 = 112°

Another supplementary angle though this time it's formed from 3 angles.

180 - 112 - 17 = 51°

Label the other base and use the sum of interior angles of a triangle.

180 - 51 - 51 = 78°

3 angle supplementary angle.

180 - 78 - 34 = 68°

Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.

180 - 68 = 112°

Hope this helps~!

Answer:

Step-by-step explanation:

It is choice B.

If you notice the little square at the bottom of the angle, that means that the angle is ninety degrees.

So 5x+30 + 5x = 90

Hope that helps!

Answer:

first statement

Step-by-step explanation:

The graph opens up and the vertex is a maximum

The complete factor of the expression [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex] is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex]correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex].

To solve the expression properly we have to take common (2x²). Then we have

[tex]\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )[/tex]

The factor is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex].

More about the factorization link is given below.

https://brainly.com/question/6810544

Work Shown:

[tex]\frac{\sin(a)}{a}=\frac{\sin(b)}{b}\\\\\frac{1}{10}=\frac{\sin(b)}{9}\\\\\frac{\sin(b)}{9} = \frac{1}{10}\\\\\sin(b) = 9*\frac{1}{10}\\\\\sin(b) = \frac{9}{10}\\\\[/tex]

For more info, check out the law of sines.

Answer:Richter scale measures intensity of earthquake as power of 10. The intensity of the Chilean earthquake( year 1960) was approx 316.23 times greater than the earthquake in Haiti (year 2010)How to measure the greatness of earthquakes from Richter scale's intensities?Suppose that the first measured earthquake was of  intensity (on Richter scale)Suppose the second measured earthquake was of   intensity(on Richter scale).It is a fact that each unit of the the Richter scale measurement increases as the power of 10.So if b = a + 1, then the second earthquake was 10 times greater than the first earthquake.If we have b = a + x, then we have:Second earthquake was  times greater than the first earthquake.As it was given that the earthquake in Haiti was of 7.0 intensity on Richter scale, and that the Chilean earthquake was about 9.5 intensity on Richter scaleThe difference is 9.5 - 7 = 2.5

Step-by-step explanation:

Answer:maybe 9 but if not is 8 and the seond is 321

Step-by-step explanation:

Answer:

C.35 cm

Step-by-step explanation:

[tex] (\frac{21}{3} ) \times 5 = \\ 7 \times 5 = 35[/tex]

The length of the longer part of the second segment is 35cm.

"Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers."

"Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion"

Given here,

length of the shortest line segment is 21cm.

and ratio in which the length segment are been divided is 3:5

the length of the longest segment will be 21/3 * 5 = 35

Hence the length of the longest side will be 35cm.

To know more about proportions here

https://brainly.com/question/13419413

#SPJ2

Answer:

first number = 2

second number =10

Step-by-step explanation:

here's how you gonna do it

we will use simultaneous equations because there are 2 conditions about the same two numbers ..

X for 1st number ... Y for the 2nd

X + Y = 12 (1)

5X + 2Y = 30 (2)

we have to make one of the variables equalled either by multiplying x in (1) by 5 ..or Y by 2 ...lets do the 2nd option

2X + 2Y = 24 lets call it (1)*

5X + 2Y = 30 (2)

if both 2Y are positive or negative.. we'll use subtraction (if both 2Y were different one's positive and other’s negative we will use addition)

(2) - (1)*

3X = 6 then divide both sides by 3

X = 2

now lets find the other value using equation (1)

2 + Y = 12

then Y = 10

Answer:3

Step-by-step explanation:

250-3= 247,

If each classmate has to get a whole cookie then

247/3= 3.38

You cannot give more than you have (she can’t give 3.38 cookies because those aren’t whole cookies, she cannot also give 4 cookies because she doesn’t have enough to give 4 one person will probably get only 3 or something) so the only option is to give 3 cookies to each classmate.

1)3 over 4

2)graves market

3)b+11=15

15-11

b=4

Step-by-step explanation:

1) 1 over 4 divided by 1 over 3=1 over 4 × 3=3 over 4

2)graves markets unit rate=75/12

6

hank's stores unit rate=32/5

6.4

therfore,answer should be graves market

3) b stands for the number of baskets and she has already made 11 baskets so just a quick equation would be this.☝️

Answer:

y=-3

Step-by-step explanation:

First, you want the slope.

The slope is

[tex]\frac{-3-(-3)}{-3 - 5} = \frac{0}{-8}\\[/tex]

0/-8 = 0, so the line is horizontal.

the y-intercept must be -3 because it never changes.

So the equation must be

y=-3

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{-3+3}{-3-5}=0[/tex]

Equation of line in point slope form

[tex]\\ \rm\hookrightarrow y+3=0(x-5)[/tex]

[tex]\\ \rm\hookrightarrow y+3=0[/tex]

[tex]\\ \rm\hookrightarrow y=-3[/tex]

Answer:

6000000000

Step-by-step explanation:

Given the following question:

[tex]6,010,499,999[/tex]

Find the billions place value:

[tex]billions=6[/tex]

Round to the nearest billion:
[tex]6,010,499,999[/tex]
[tex]0<5[/tex]
[tex]6000000000[/tex]

Your answer is "6000000000."

Hope this helps.

Let the numbers be: x and y

Now, we will set up the equation with the variables and given info..

[tex]x \times y = 36 \\ x + y = - 15[/tex]

Solve using the substitution method

[tex]x \times y = 36 \\ x = - 15 - y[/tex]

[tex]( - 15 - y)\times y = 36[/tex]

[tex]y = - 12[/tex]

[tex]x = - 15 - ( - 12)[/tex]

[tex]x = - 3[/tex]

➪ Therefore, The two numbers are: -12 and -3

Answer : 2/9

◊ YusuCr ◊

Hope This Helps. :)

Answer:

D. 1 square/ 4 meters = 12 square/48 meters

Step-by-step explanation:

You scale down by simplifying the fraction of 12/48. You would divide both 12 and 48 by 12, since it is the highest divisor. And once you divide the two you get 1/4.

Answer:

x = 20

y = -7

z = -11

Step-by-step explanation:

Sum of interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal to each other.

The adjacent angles are supplementary (add up to 180°)

Therefore,

66 + (6x - 6) = 180

⇒ 66 + 6x - 6 = 180

⇒ 6x = 180 - 66 + 6

⇒ 6x = 120

⇒ x = 120 ÷ 6

⇒ x = 20

66 + (-10z + 4) = 180

⇒ 66 - 10z + 4 = 180

⇒ -10z= 180 - 66 - 4

⇒ -10z = 110

⇒ z = 110 ÷ -10

⇒ z = -11

(6x - 6) + (-10y - 4) = 180

⇒ 6x - 6 - 10y - 4 = 180

⇒ 120 - 6 - 10y - 4 = 180

⇒ -10y = 180 - 120 + 6 + 4

⇒ -10y = 70

⇒ y = 70 ÷ -10

⇒ y = -7

Answer:

780,000,000

1,500,000,000

15625

Step-by-step explanation:

[tex]10^{8}[/tex] = 100,000,000

7.8 x 100,000,000 = 780,000,000

[tex]10^{9}[/tex] = 1,000,000,000

1.5 x 1,000,000,000 = 1,500,000,000

[tex]5^{0}[/tex] = 1

([tex]5^{3}[/tex])² = [tex]5^{3}[/tex] x  [tex]5^{3}[/tex] = 125 x 125 = 15625

15625 x 1 = 15625

Answer: B

Step-by-step explanation:

Answer:

Slope is (7/4)

Step-by-step explanation:

Let's use the point-slope format of a straight line equation:

y − y1 = m(x − x1)

(x, y) is (-3,-8)

(x1, y1) is (5,6)

y − y1 = m(x − x1)

-8 − (6)  = m(-3 − 5)

-14  = m(-8)

m = (14/8 or (7/4)

The slope  is (7/4)

b can be calculated by enter on e of the points in y = (7/4)x+ b and solve for b:

y = (7/4)x+ b

6 = (7/4)5+ b

6 = 35/4 + b

b = -2.75

See attached image.

Answer:
Volume of cylinder = 2712.96 mm³

Step-by-step explanation:
Radius (r) = 12 mm
Height (h) = 6 mm
π = 3.14

Volume of cylinder = πr²h
= 3.14 × (12)² × (6)
= 2712.96 mm³

Hope it helps ⚜

If the company spends 100 pounds on advertising, it would spend 0.45 x 100 = 45 pounds on the website.

So, we can write the ratio spent on advertising to the amount spent on its website as 100:45

If we divide both numbers by a same number, we get an equivalent ratio (simplification)

100:45 = (100:5):(45:5) = 20:9

So, the ratio in its simplest form is 20:9

Answer:

Answer is 6.40 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

fill in the sides for a and b

4^2 + 5^2 = c^2

simplify

16+25 = c^2

41 = c^2

Sqrt both sides

c = 6.4

Answer:

6.40 units

Step-by-step explanation:

You can use the equation a^2+b^2=c^2 for this. C is the unknown and the hypotenuse.

In this case, 4^2+5^2=c^2.

16+25=c^2

41=c^2

sqrt{41}= c

Approximately 6.40312

The wind is blowing at the rate of 4 miles per hour

The formula for calculating speed is expressed as:

Speed = Distance/Time

Given the following parameters

Speed of airplane = 18 miles per hour

Speed in wind = 2.2 * 10  = 22 miles/hr

Speed of the wind = 22 - 18

Speed of the wind = 4mi/hr

Hence the wind is blowing at the rate of 4 miles per hour

Learn more on speed here: https://brainly.com/question/4931057

Answer:

-2

Step-by-step explanation:

When 2 lines are parallel that means they have the same slope but diffrent y-intercepts. You can also double check this by counting what the slope is on the graph itself, the red line's equation is y=-2x + 2 while the green line's in y = -2x - 4.

Hope this helps!! :)

(Sorry if this is a bit in-depth, I'm just really passionate about people understanding slope)

Answer: 3/8 I think or just multiply and divide 0.375 by 1000.

Step-by-step explanation: