Samuel invested money in his bank account. He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, r, of 0.15 per year. At the end of the period, he had interest, I, of $105 in his account. Use the simple interest formula I = Prt, to solve for the time, t, in months that it took to earn this amount.

Answer:

1st option

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ( which can be used on more than 2 numbers )

Given

(- 7)² × [tex](-7)^{5}[/tex] × [tex](-7)^{-9}[/tex]

= [tex](-7)^{(2+5-9)}[/tex]

= [tex](-7)^{-2}[/tex]

Answer: False

If two lines intersect, then they intersect at one point only, so it makes no sense to mention a second point. This is assuming that we're not talking about two lines intersecting infinitely many times (i.e. one line overlapping another perfectly).

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

second option ∠C = 60 degrees

Step-by-step explanation:

To find the angle C

we know that the sum of all interior angles of triangle is 180

∠A + ∠B + ∠C = 180 (sum of interior angles)

90 + 30 + ∠C = 180

120 + ∠C= 180

∠C = 180 - 120

∠C = 60

Answer: B. 60

Concept:

Here, we need to know the idea of the triangle angle sum theorem.

The triangle angle sum theorem states that the sum of interior angles is 180 degrees.

Step-by-step explanation:

Given information

∠A = 90°

∠B = 30°

∠C = unknown

Given expression deducted from the triangle angle sum theorem

∠A + ∠B + ∠C = 180

Substitute values into the expression

90 + 30 + ∠C = 180

Combine like terms

120 + ∠C = 180

Subtract 120 on both sides

120 + ∠C - 120 = 180 - 120

∠C = [tex]\boxed{60}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

semoga jawapan ini dapat membantu anda

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

Step-by-step explanation:

the line passes (-10, 0) and ( (0, 8) =>

the slope = (8-0)/(0-(-10) = 8/10 = 4/5

so, the equation :

y - 8= 4/5 ( x-0)

y -8 = 4/5 x

=> y = 4/5 x + 8

Answer:

[tex] - 3(2x - y) + 2y + 2(x + y) \\ - 6x + 3y + 2y + 2x + 2y \\ = - 4x + 7y[/tex]

I hope I helped you^_^

Answer:Check the options well. My answer isn't in the options

Step-by-step explanation:

Step-by-step explanation:

x=2

y=0

then

????

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

Step-by-step explanation:

Given,

SinA = 4/5

CosA =4/5

TanA= 3/4

CotA = 12/13

Sin²A = SinA²

Cos²A = CosA²

Tan²A = TanA²

Cot²A = CotA²

Therefore,

Sin²A = (4/5)²

Cos²A = (4/5)²

Tan²A = (3/4)²

Cot²A = (12/13)²

Sin²A = 16/25

Cos²A = 16/25

Tan²A = 9/16

Cot²A = 144/169

Step-by-step explanation:

explanation is given in picture

Answer:

D. 12.9 is the correct answer

I hope this helps!

Answer:

Step-by-step explanation:

I have attached.

Answer:

around 502.65

Step-by-step explanation:

so, find the area of the circle first which is 16ft x 16ft x pi

after that, since a circle is 2 pi radians, just take 5/4 ÷ 2

then multiply that number over your area.

I'm not sure if I'm correct but this is what I know based on my limited understanding of it

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

Answer:

A) $49

Step-by-step explanation:

There are two ways to solve this problem. You could either calculate the net change by adding up the values in the table and then adding that to the initial amount, or you could individually add every change in price to the initial amount. I'm going to go with the first way, as I find it to be quicker, but both methods work equally well.

We know that the stock was worth $52 on Monday morning. From the table, the net (or overall) change in the stock over the course of the week is:

-2 + 1 + 3 - 1 - 4 = -3

Therefore, the stock's price decreased by $3 over the week, and because the stock's original price was $52, we know it is now worth 52 - 3 = $49. Hope this helps!

Answer:

Yes

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I'm pretty sure the segment addition postulate just means that if you add JK and KL together, you'll get the length of JL. Correct me if I'm wrong...

Anyways, JK = 3x - 4, and KL = 5x + 6. If we add these together, according to the segment addition postulate, we will get JL, which equals 9x - 8. So, we set up an equation:

3x - 4 + 5x + 6 = 9x - 8

Simplifying this equation, we get:

8x + 2 = 9x - 8

x = 10

So, our answer is 10.

(also you ask for segment EF but I don't see segment EF so I'm going to just answer the question in the picture)

Answer:Because they make a acute angle

Step-by-step explanation:

Answer:

[tex]4x^6y^2[/tex]

Step-by-step explanation:

[tex]x^{m} *x^{n} = x^{m * n}[/tex]

2^2 = 4

(x^3)^2 = x ^3*2 = x^6

y^2 = y^2

Answer:

45

Step-by-step explanation:

∠FEC = ∠DEG (Vertically opposite angles)

=> x = 20+25=45

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

Answer:

x=-13

Step-by-step explanation:

divide 8 to both sides and get -13

Answer:

91 divided by 14 = 6.5 is the length

Step-by-step explanation:

Whenever given an area and 1 given length always divide the area by the length to find the missing length.

Answer:

here are the steps

multiply is binary number with its position value with the terms of power to starting from the extreme right digit

increase the power 1 by 1 keeping the base fixed as 2

calculate the sum of all the products to get a decimal number

PS. also see the attachment for better understanding :)

have a great day ahead!

Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo

A little summary of the question:

The question has asked you to turn the shape 180° counterclockwise. that in simpler words means flipping the shape 2x right making a mirrored reflection of the shape.

Answer:

point J = (2,8)

point M = (2,9)

point L = (-6,9)

point K = (-6,8)

Answer:

1120 inches squared

Step-by-step explanation:

change the 4 separate boxes into a single box with dimensions 10 by 12 by 20 (5+5+5+5=20) then find the surface area:

2(20*12 + 20*10 + 12*10)=2(240+200+120)=2*560=1120